- alpha0.5848Leading coefficient in the Jernkvist burst model.
Default:0.5848
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Leading coefficient in the Jernkvist burst model.
- beta3.35e-08Exponential coefficient in the Jernkvist burst model.
Default:3.35e-08
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Exponential coefficient in the Jernkvist burst model.
- cladding_diameterThis model requires the cladding diameter in meters
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:This model requires the cladding diameter in meters
- estimateaverageThe estimate assumption for the ORNL rupture area model. Choices are average or limiting. Default is average.
Default:average
C++ Type:MooseEnum
Controllable:No
Description:The estimate assumption for the ORNL rupture area model. Choices are average or limiting. Default is average.
- fuel_pin_geometryName of the UserObject that reads the pin geometry from the mesh
C++ Type:UserObjectName
Controllable:No
Description:Name of the UserObject that reads the pin geometry from the mesh
- opening_shapeovalThe rupture opening shape assumed for the ORNL rupture area model. Choices are oval, rhombus, rectangle. Default is oval.
Default:oval
C++ Type:MooseEnum
Controllable:No
Description:The rupture opening shape assumed for the ORNL rupture area model. Choices are oval, rhombus, rectangle. Default is oval.
- outputlengthThe model output. Choices are length, width, or area. Default is length.
Default:length
C++ Type:MooseEnum
Controllable:No
Description:The model output. Choices are length, width, or area. Default is length.
- peak_hoop_strainA postprocessor that reads the peak hoop strain.
C++ Type:PostprocessorName
Unit:(no unit assumed)
Controllable:No
Description:A postprocessor that reads the peak hoop strain.
- peak_hoop_stressA postprocessor that reads the hoop stress.
C++ Type:PostprocessorName
Unit:(no unit assumed)
Controllable:No
Description:A postprocessor that reads the hoop stress.
- rupture_modelORNLThe rupture area model to use. Choices are ORNL or Jernkvist. Default is ORNL
Default:ORNL
C++ Type:MooseEnum
Controllable:No
Description:The rupture area model to use. Choices are ORNL or Jernkvist. Default is ORNL
- threshold_stress5e+06Threshold hoop stress required for rupture to openg in the Jernkvist burst model.
Default:5e+06
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Threshold hoop stress required for rupture to openg in the Jernkvist burst model.
ZryBurstOpening
Calculates the burst opening size of Zircaloy cladding based on a data regression model.
Description
The ZryBurstOpening postprocessor computes the area of the opening associated with cladding rupture. The user can choose to output the calculated length, width, or area of the rupture. Two correlations are available, Jernkvist (Jernkvist, 2021), or ORNL (Capps et al., 2021).
Jernkvist
The Jernkvist model assumes that the burst opening width is the most important parameter. The width is computed by: where is the burst width (mm), is the as-fabricated cladding diameter (mm), is the hoop stress at burst, and , , and are fitting constants. Best-estimate values of these constants were found to be , Pa, and MPa. The correlation used to relate burst opening area and burst opening width is given by: where is the burst opening area (mm), and is the burst opening width (mm). Once the burst width has been determined, the burst length can be obtained by:
ORNL
The ORNL formulation is based upon the peak cladding hoop strain at burst (%), which occurs at the burst location. The rupture length (mm) is estimated by: where is the peak cladding hoop strain (%) and (mm/%), (%), (-), and (mm) are fitted constants. Depending upon whether the model is assumed to be average or limiting the coefficients have different values. Once the rupture length is estimated the proposed correlations for the rupture width is given by: (1) where is the as-fabricate cladding outer diameter (mm), is the rupture width, and (-), (-), (mm), and are constants. The coefficients are tabulated for the average and limiting cases in Table 1.
Table 1: Coefficients for the limiting and average assumptions for rupture length and width in the ORNL model
| Model | (mm/%) | (%) | (-) | (mm) | (-) | (-) | (mm) | |
|---|---|---|---|---|---|---|---|---|
| Limiting | 20 | 8 | 0.22 | 18 | 0.055 | 0.92 | -0.01 | 24 |
| Average | 55 | 8 | 0.09 | 60 | 0.032 | 0.92 | 0 | 43 |
Example Input Syntax
An example using the Jernkvist model is given by:
[Postprocessors<<<{"href": "../../syntax/Postprocessors/index.html"}>>>]
[opening_area]
type = ZryBurstOpening<<<{"description": "Calculates the burst opening size of Zircaloy cladding based on a data regression model.", "href": "ZryBurstOpening.html"}>>>
cladding_diameter<<<{"description": "This model requires the cladding diameter in meters"}>>> = 0.011
rupture_model<<<{"description": "The rupture area model to use. Choices are ORNL or Jernkvist. Default is ORNL"}>>> = Jernkvist
peak_hoop_stress<<<{"description": "A postprocessor that reads the hoop stress."}>>> = peak_hoop_stress
output<<<{"description": "The model output. Choices are length, width, or area. Default is length."}>>> = area
[]
[]An example using the ORNL model is given by:
[Postprocessors<<<{"href": "../../syntax/Postprocessors/index.html"}>>>]
[opening_area_oval_average]
type = ZryBurstOpening<<<{"description": "Calculates the burst opening size of Zircaloy cladding based on a data regression model.", "href": "ZryBurstOpening.html"}>>>
cladding_diameter<<<{"description": "This model requires the cladding diameter in meters"}>>> = 0.011
rupture_model<<<{"description": "The rupture area model to use. Choices are ORNL or Jernkvist. Default is ORNL"}>>> = ORNL
peak_hoop_strain<<<{"description": "A postprocessor that reads the peak hoop strain."}>>> = peak_hoop_strain
output<<<{"description": "The model output. Choices are length, width, or area. Default is length."}>>> = area
[]
[]Input Parameters
- allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Controllable:No
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
- execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Options:XFEM_MARK, NONE, INITIAL, LINEAR, NONLINEAR_CONVERGENCE, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM, TRANSFER
Controllable:No
Description:The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
- execution_order_group0Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
Default:0
C++ Type:int
Controllable:No
Description:Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
- force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in POSTAUX
- force_preauxFalseForces the UserObject to be executed in PREAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREAUX
- force_preicFalseForces the UserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup
Execution Scheduling Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- outputsVector of output names where you would like to restrict the output of variables(s) associated with this object
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Material Property Retrieval Parameters
Input Files
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/0pt5MPa/25C_sec/25C_sec_Hardy_Tube_Test_0pt5MPa.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-16/puzry-16.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_08MPa/rebeka_singlerod_2d_08MPa.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-23/puzry-23.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-15/puzry-15.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-04/puzry-04_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-05/puzry-05.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_06MPa/rebeka_singlerod_2d_06MPa.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_1/ornl_zr2_1.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-31/puzry-31_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-02/puzry-02.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_06MPa/rebeka_singlerod_2d_06MPa_aniso.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_01MPa/rebeka_singlerod_2d_01MPa.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/base_input/Hardy_Tube_Test.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-22/puzry-22_aniso.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/2pt1MPa/100C_sec/100C_sec_Hardy_Tube_Test_2pt1MPa.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_aniso.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_10/IFA_650_10_part1.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-08/puzry-08.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-19/puzry-19_aniso.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_1pt5.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_2/ornl_zr2_2_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-06/puzry-06.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_08MPa/rebeka_singlerod_2d_08MPa_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-11/puzry-11_aniso.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1_gas_communication.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/1pt0MPa/25C_sec/25C_sec_Hardy_Tube_Test_1pt0MPa.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr4_1/ornl_zr4_1.i)
- (assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL5_8/OCL5_8.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_14MPa/rebeka_singlerod_2d_14MPa.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-26/puzry-26.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part2.i)
- (assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT4/MT4_1-1kW_action.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-15/puzry-15_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-10/puzry-10.i)
- (assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL11/OCL11.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-20/puzry-20_aniso.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_2/ornl_zr2_2.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-26/puzry-26_aniso.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_1pt5_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-08/puzry-08_aniso.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/0pt7MPa/100C_sec/Hardy_Tube_Test_0pt7MPa.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-31/puzry-31.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/0pt3MPa/100C_sec/100C_sec_Hardy_Tube_Test_0pt3MPa.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_02MPa/rebeka_singlerod_2d_02MPa_aniso.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/1pt4MPa/100C_sec/100C_sec_Hardy_Tube_Test_1pt4MPa.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-14/puzry-14.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-14/puzry-14_aniso.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/13pt8MPa/25C_sec/25C_sec_Hardy_Tube_Test_13pt8MPa.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-07/puzry-07.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr4_1/ornl_zr4_1_ad_hill.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-20/puzry-20.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/1pt4MPa/25C_sec/25C_sec_Hardy_Tube_Test_1pt4MPa.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-02/puzry-02_aniso.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/3pt8MPa/25C_sec/25C_sec_Hardy_Tube_Test_3pt8MPa.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_9/IFA_650_9_part1.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-11/puzry-11.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-09/puzry-09.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_10/IFA_650_10_part2.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-01/puzry-01_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-29/puzry-29.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-28/puzry-28.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-27/puzry-27_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-10/puzry-10_aniso.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr4_1/ornl_zr4_1_ad_hill_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-16/puzry-16_aniso.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-18/puzry-18_aniso.i)
- (assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL11/OCL11_aniso.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_12MPa/rebeka_singlerod_2d_12MPa_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-12/puzry-12_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-04/puzry-04.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_04MPa/rebeka_singlerod_2d_04MPa.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_04MPa/rebeka_singlerod_2d_04MPa_aniso.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_9/IFA_650_9_part2.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-07/puzry-07_aniso.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/0pt7MPa/25C_sec/25C_sec_Hardy_Tube_Test_0pt7MPa.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_12MPa/rebeka_singlerod_2d_12MPa.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_14MPa/rebeka_singlerod_2d_14MPa_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-21/puzry-21.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/2pt8MPa/25C_sec/25C_sec_Hardy_Tube_Test_2pt8MPa.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_1/ornl_zr2_1_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-25/puzry-25.i)
- (assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL11/OCL11_ad.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part3_gas_communication.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-01/puzry-01.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-03/puzry-03.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_01MPa/rebeka_singlerod_2d_01MPa_aniso.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part2_gas_communication.i)
- (test/tests/zry_burst_opening/jernkvist_opening.i)
- (test/tests/zry_burst_opening/ornl_opening.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/3pt8MPa/100C_sec/100C_sec_Hardy_Tube_Test_3pt8MPa.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/5pt5MPa/100C_sec/100C_sec_Hardy_Tube_Test_5pt5MPa.i)
- (assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT4/MT4_1-2kW.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-30/puzry-30_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-24/puzry-24_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-05/puzry-05_aniso.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/0pt3MPa/25C_sec/25C_sec_Hardy_Tube_Test_0pt3MPa.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-30/puzry-30.i)
- (assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT6A/MT6A_1-1kW.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-09/puzry-09_aniso.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_aniso_hunt.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-29/puzry-29_aniso.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/2pt1MPa/25C_sec/25C_sec_Hardy_Tube_Test_2pt1MPa.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-18/puzry-18.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-17/puzry-17.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-24/puzry-24.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-25/puzry-25_aniso.i)
- (assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT6A/MT6A_1-2kW.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-13/puzry-13.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-19/puzry-19.i)
- (assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT4/MT4_1-1kW.i)
- (assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/5pt5MPa/25C_sec/25C_sec_Hardy_Tube_Test_5pt5MPa.i)
- (assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL5_8/OCL5_8_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-23/puzry-23_aniso.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_2/IFA_650_2.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-03/puzry-03_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-22/puzry-22.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_2/ornl_zr2_2_ad.i)
- (assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL5_8/OCL5_8_ad.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-12/puzry-12.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-21/puzry-21_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-17/puzry-17_aniso.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-13/puzry-13_aniso.i)
- (assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1_action.i)
- (assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-27/puzry-27.i)
- (assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_1/ornl_zr2_1_ad.i)
- (assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_02MPa/rebeka_singlerod_2d_02MPa.i)
References
- N. Capps, R. Sweet, J. Harp, and C. Petrie.
Engineering assessment of uo$_2$ and cladding behavior under high burnup loca conditions.
Technical Report, Oak Ridge National Laboratory, 9 2021.
URL: https://www.osti.gov/biblio/1822042, doi:10.2172/1822042.[BibTeX]
@TECHREPORT{capps2021, author = "Capps, N. and Sweet, R. and Harp, J. and Petrie, C.", title = "Engineering Assessment of UO$\_2$ and Cladding Behavior under High Burnup LOCA Conditions", institution = "Oak Ridge National Laboratory", doi = "10.2172/1822042", url = "https://www.osti.gov/biblio/1822042", year = "2021", month = "9" } - L. O. Jernkvist.
Cladding tube rupture under LOCA: data and models for rupture opening size.
Technical Report 2021:05, Swedish Radiation Safety Authority, 2021.[BibTeX]
@TECHREPORT{jernkvist2021, author = "Jernkvist, L. O.", title = "Cladding tube rupture under {LOCA}: Data and models for rupture opening size", institution = "Swedish Radiation Safety Authority", year = "2021", number = "2021:05" }
(test/tests/zry_burst_opening/jernkvist_opening.i)
#--------------------------------------------------------------------------------
#
# This test case is prepared to test the Zircaloy burst opening postprocessor when
# selecting the Jernkvist option. A fictitious failure criterion is applied such
# that when the hoop stress exceeds 100 MPa the tube is deemed to have failed.
#
# The length, width, and area of the rupture opening are reported in m.
#
#
#--------------------------------------------------------------------------------
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[generated_mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 1
ny = 1
xmin = 0.005
xmax = 0.0055
ymin = 0.0
ymax = 0.01
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 11'
y = '0 11e6'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[tube]
block = 0
add_variables = true
generate_output = hoop_stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
[]
[]
[BCs]
[Pressure]
[pressure]
boundary = 'left'
function = pressure_function
[]
[]
[no_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[]
[Materials]
[stress]
type = ComputeLinearElasticStress
block = 0
[]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 1e9
poissons_ratio = 0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-12
l_tol = 1e-5
start_time = 0.0
end_time = 11
[TimeStepper]
type = ConstantDT
dt = 1
[]
[]
[UserObjects]
[arnold]
type = Terminator
expression = 'peak_hoop_stress >= 100e6'
[]
[]
[Postprocessors]
[peak_hoop_stress]
type = ElementExtremeValue
block = 0
variable = hoop_stress
value_type = max
[]
[opening_length]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = Jernkvist
# peak_hoop_stress = peak_hoop_stress
output = length
[]
[opening_width]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = Jernkvist
peak_hoop_stress = peak_hoop_stress
output = width
[]
[opening_area]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = Jernkvist
peak_hoop_stress = peak_hoop_stress
output = area
[]
[]
[Outputs]
csv = true
[]
(test/tests/zry_burst_opening/ornl_opening.i)
#--------------------------------------------------------------------------------
#
# This test case is prepared to test the Zircaloy burst opening postprocessor when
# selecting the Jernkvist option. A fictitious failure criterion is applied such
# that when the hoop stress exceeds 100 MPa the tube is deemed to have failed.
#
# The length, width, and area of the rupture opening are reported in m. Three different
# values are reported for the area assuming different shapes of oval, rhombus,
# and rectangle for the opening.
#--------------------------------------------------------------------------------
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[generated_mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 1
ny = 1
xmin = 0.005
xmax = 0.0055
ymin = 0.0
ymax = 0.01
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 11'
y = '0 11e6'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[tube]
block = 0
add_variables = true
generate_output = 'hoop_strain hoop_stress'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
[]
[]
[BCs]
[Pressure]
[pressure]
boundary = 'left'
function = pressure_function
[]
[]
[no_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[]
[Materials]
[stress]
type = ComputeLinearElasticStress
block = 0
[]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 2e8
poissons_ratio = 0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-12
l_tol = 1e-5
start_time = 0.0
end_time = 11
[TimeStepper]
type = ConstantDT
dt = 1
[]
[]
[UserObjects]
[arnold]
type = Terminator
expression = 'peak_hoop_stress >= 100e6'
[]
[]
[Postprocessors]
[peak_hoop_strain]
type = ElementExtremeValue
block = 0
variable = hoop_strain
value_type = max
[]
[peak_hoop_stress]
type = ElementExtremeValue
block = 0
variable = hoop_stress
value_type = max
[]
[opening_length_average]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
# peak_hoop_strain = peak_hoop_strain
output = length
[]
[opening_width_average]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
peak_hoop_strain = peak_hoop_strain
output = width
[]
[opening_area_oval_average]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
peak_hoop_strain = peak_hoop_strain
output = area
[]
[opening_area_rhombus_average]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
opening_shape = rhombus
peak_hoop_strain = peak_hoop_strain
output = area
[]
[opening_area_rectangle_average]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
opening_shape = rectangle
peak_hoop_strain = peak_hoop_strain
output = area
[]
[opening_length_limiting]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
estimate = limiting
peak_hoop_strain = peak_hoop_strain
output = length
[]
[opening_width_limiting]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
estimate = limiting
peak_hoop_strain = peak_hoop_strain
output = width
[]
[opening_area_oval_limiting]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
estimate = limiting
peak_hoop_strain = peak_hoop_strain
output = area
[]
[opening_area_rhombus_limiting]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
estimate = limiting
opening_shape = rhombus
peak_hoop_strain = peak_hoop_strain
output = area
[]
[opening_area_rectangle_limiting]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
estimate = limiting
opening_shape = rectangle
peak_hoop_strain = peak_hoop_strain
output = area
[]
[]
[Outputs]
csv = true
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/0pt5MPa/25C_sec/25C_sec_Hardy_Tube_Test_0pt5MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-16/puzry-16.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-16.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 1.234e+07' # Linear increase at 0.1224 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-16_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_08MPa/rebeka_singlerod_2d_08MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '8.e+06 8.e+06' # 80 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = false
strain = FINITE
decomposition_method = EigenSolution
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
number_axial_zone = 15
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501 # see Erbacher et al., 1982
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average temperature of cladding exterior
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_08MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-23/puzry-23.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-23.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2500. '
y = '1.e+05 1.e+05 1.0855e+07' # Linear increase at 0.0717 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2500. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-23_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-15/puzry-15.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-15.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 1.183e+07' # Linear increase at 0.1173 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-15_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1.i)
initial_fuel_density = 10452.96
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 295.0
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 5.0e-6
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[hoop_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hoop_stress
scalar_type = HoopStress
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[]
[AxialRelocation]
[relocation]
mesh_generator = layered1D_mesh
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = MASS_FRACTION
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
material_input = fis_gas_released
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period0]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = -200.0
end_time = 172387800.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10452.96
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
start_time = -200.0
end_time = 172387800 # End base irradiation
# end_time = 172489043 # Begin Blowdown
# end_time = 172489661 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '172387800 172388043 172488043 172489043 172489073 172489661'
time_dt = '1.0e04 1.0e04 10.0 5.0 0.5 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_1'
[]
[mass_fraction]
type = LineValueSampler
start_point = '0 0.01124 0'
end_point = '0 0.47524 0'
num_points = 30
sort_by = y
variable = layered_mass_fraction
outputs = 'outfile_mass_1'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
perf_graph = true
[exodus]
type = Exodus
file_base = IFA_650_4_part1_out
execute_on = 'initial timestep_end'
[]
[checkpoint]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_temp_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-04/puzry-04_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-04.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 7.2e+05' # Linear increase at 0.062 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-04_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-05/puzry-05.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-05.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 7.2e+05' # Linear increase at 0.0062 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-05_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_06MPa/rebeka_singlerod_2d_06MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '6.e+06 6.e+06' # 60 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = false
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
number_axial_zone = 15
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501 # see Erbacher et al., 1982
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average temperature of cladding exterior
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_06MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_1/ornl_zr2_1.i)
# Simulation ORNL burst tests Zr2_1
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr2_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr2_1.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr2_1.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 400. '
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 2 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004875
clad_outer_radius = 0.005580
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 400.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr2_1_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-31/puzry-31_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-31.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1400. '
y = '1.e+05 1.e+05 7.944e+06' # Linear increase at 0.1961 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1400. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-07
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-31_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-02/puzry-02.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-02.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 7.5e+05' # Linear increase at 0.0065 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-02_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_06MPa/rebeka_singlerod_2d_06MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '6.e+06 6.e+06' # 10 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
number_axial_zone = 15
use_ad = true
[]
[]
[Materials]
[converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_06MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_01MPa/rebeka_singlerod_2d_01MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+06 1.e+06' # 10 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = false
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02
number_axial_zone = 15
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501 # see Erbacher et al., 1982
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average temperature of cladding exterior
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_01MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/base_input/Hardy_Tube_Test.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-22/puzry-22_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-22.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 6000. '
y = '1.e+05 1.e+05 7.5e+06' # Linear increase at 0.0148 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 6000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-07
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-22_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/2pt1MPa/100C_sec/100C_sec_Hardy_Tube_Test_2pt1MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+07 1.e+07' # 100 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
use_ad = true
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ADZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ADZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_10MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_10/IFA_650_10_part1.i)
# Halden test IFA-650.10
initial_fuel_density = 10447
[GlobalParams]
density = ${initial_fuel_density}. # 95.32% of 10960
displacements = 'disp_x disp_y'
temperature = temp
order = FIRST
family = LAGRANGE
energy_per_fission = 3.28451e-11 # J/fission
volumetric_locking_correction = true
[]
[Mesh]
coord_type = RZ
patch_size = 5 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = mesh_ifa65010.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.
[]
[]
[Functions]
[linear_heat_rate]
type = PiecewiseLinear
data_file = lhr_average.csv
scale_factor = 1.e+03
format = columns
[]
[axial_power_peaking_factors]
type = PiecewiseBilinear
data_file = lhr_peaking_factors.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[rod_outer_pressure]
type = PiecewiseLinear
data_file = rod_outer_pressure.csv
scale_factor = 1.e+06
format = columns
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = temp_outer_clad.csv
scale_factor = 1.
axis = 1 # (0,1,2) => (x,y,z)
[]
[q] # same as linear_heat_rate for the base irradiation
type = PiecewiseLinear
data_file = lhr_average.csv
scale_factor = 1.e+03
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heat_sink_temperature.csv
scale_factor = 1.
axis = 1 # (0,1,2) => (x,y,z)
[]
[average_coolant_htc]
type = PiecewiseLinear
data_file = htc_average.csv
scale_factor = 1.
format = columns
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '0 125690842. 125691189.5'
y = '9 9 8 '
direction = 'right'
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
format = columns
[]
[]
[AuxVariables]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
initial_condition = 4.65e-06
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_hflux]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[thcond]
type = MaterialRealAux
property = thermal_conductivity
variable = thermal_conductivity
block = pellet_type_1
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxi_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
execute_on = 'initial linear'
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[coolant_hflux]
type = MaterialRealAux
property = output_heat_flux
variable = coolant_hflux
boundary = 2
execute_on = 'initial linear'
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
execute_on = 'initial linear'
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
execute_on = 'initial linear'
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
execute_on = 'initial linear'
[]
[pelletid]
type = PelletIdAux
block = pellet_type_1
variable = pellet_id
a_lower = 8.5e-03
a_upper = 448.5e-03
number_pellets = 44
execute_on = initial
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet_type_1
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_eigenstrain
fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
[]
[clad]
block = clad
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
[]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = pellet_type_1
fission_rate = fission_rate
[]
[]
[Burnup]
[burnup]
order = CONSTANT
family = MONOMIAL
block = pellet_type_1
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
num_radial = 50
bias = 0.95
num_axial = 20
a_lower = 8.5e-03
a_upper = 448.5e-03
fuel_inner_radius = 0.
fuel_outer_radius = 4.105e-03
fuel_volume_ratio = 1.
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.04487 0.95513 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1.e+07
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
quadrature = true
normal_smoothing_distance = 0.1
roughness_secondary = 1.8e-07
roughness_primary = 2.e-06
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 124861061.
refab_type = 0
[]
[]
#TODO: Add option in StandardLWRFuelRodOutputs to compute plenum temperature this way.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[BCs]
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_outer_temperature
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
function = rod_outer_pressure
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.6e+06
startup_time = 0.
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
refab_time = 124861061.
refab_pressure = 4.e+06
refab_temperature = 293.15
refab_volume = 1.7e-05
[]
[]
[]
[Controls]
[period0]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = 0.
end_time = 124861061.0
[]
#[period1]
# type = TimePeriod
# disable_objects = 'BCs/clad_outer_temp'
# start_time = 125690771.0
# end_time = 125691189.5
#[]
[]
[CoolantChannel]
[convective_clad_surface] # PWR conditions (ignored after base irradiation)
boundary = '1 2 3'
variable = temp
heat_transfer_mode = heat_transfer_mode # prescribe htc until end of blowdown. Then use radiative (+ convective prescribed)
heat_transfer_coefficient = average_coolant_htc # For base irradiation, using averge htc from a previous simulation. Afterwards, use constant values (from jernkvist) plus radiation from end of blowdown
effective_emissivity = 0.6 # 0.75 # cf. Jernkvist
inlet_temperature = heat_sink_temperature # K
#inlet_pressure = 15.5e+06 # Pa
#inlet_massflux = 3800. # kg/m^2-s
rod_diameter = 9.5e-03 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
compute_enthalpy = false #true
#oxide_thickness = oxide_thickness
#heat_transfer_mode = 1 # Natural convection
#htc_correlation_type = 2 # Jens-Lottes (recommended for Halden HBWR)
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
initial_porosity = 0.0468
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = pellet_type_1
fragmentation_model = BARANI
rod_ave_lin_pow = linear_heat_rate
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = pellet_type_1
inelastic_models = 'fuel_creep'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_porosity = 0.0468
initial_fuel_density = 10447.
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
#burnup_function = burnup #TODO For consistency, we should specify burnup_function rather than fission_rate,
#but keeping it this way to match the SM model
initial_grain_radius = 4.65e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
diameter = 8.21e-03
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
diametral_gap =150.e-06
burnup_relocation_stop = 1.e+20
eigenstrain_name = fuel_relocation_eigenstrain
relocation_activation1 = 19685.039
[]
[fission_gas]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
initial_porosity = 0.0468
diff_coeff_option = TURNBULL_D1_D2
transient_option = MICROCRACKING_BURNUP
pellet_id = pellet_id
pellet_brittle_zone = pbz
ath_model = true
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.
specific_heat = 330.
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 300.0 #TODO: It is odd to have different values for fuel and clad, but keeping this way to match SM
eigenstrain_name = clad_thermal_strain
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 1.e+11
poissons_ratio = 0.3
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
#TODO: The parameters below really should be provided, but they weren't specified in the SM model.
# They may have not been included because irradiation creep wasn't modeled. However, they are used in the thermal
# creep model as well.
# fast_neutron_flux = fast_neutron_flux
# fast_neutron_fluence = fast_neutron_fluence
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = clad_irradiation_growth
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temp
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
#eff_strain_rate_plast =
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temp
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1.e-05
variable = disp_x
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
l_tol = 1.e-02 # <--- l_tol is ignored when EW is used.
#l_tol = 8.e-03
line_search = 'none'
l_max_its = 200
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-10
start_time = 0.
n_startup_steps = 1
#end_time = 124861061. # End of base irradiation
end_time = 125690771. # Blowdown. End prescribing clad outer temperature.
#end_time = 125690842. # End of blowdown
#end_time = 125691189.5
dtmax = 5.e+05
dtmin = 0.00000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = timestep_material
dt = 1.e+02
#growth_factor = 1.1
#optimal_iterations = 4
#iteration_window = 2
timestep_limiting_function = forced_times #linear_heat_rate
max_function_change = 2000.
force_step_every_function_point = true
time_t = '121509219. 124861061. 125680151. 125690151. 125690771. 125691027. 125691033.'
time_dt = '5.e+05 1.e+04 1.e+04 10. 5. 0.5 5. '
[]
[]
[UserObjects]
[pbz]
type = PelletBrittleZone
block = pellet_type_1
pellet_id = pellet_id
temperature = temp
a_lower = 8.5e-03
a_upper = 448.5e-03
pellet_radius = 4.105e-03
number_pellets = 44
execute_on = 'initial linear'
[]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = true
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = linear_heat_rate
execute_on = 'initial timestep_end'
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[oxygen_fract_max]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[oxygen_fgain_max]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfgain_total
execute_on = 'initial timestep_end'
[]
[creep_rate_max]
type = ElementExtremeValue
value_type = max
variable = creep_rate
block = clad
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
[]
[strain_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
block = clad
[]
[stress_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_midplane]
type = NodalVariableValue
nodeid = 676 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_tclow]
type = NodalVariableValue
nodeid = 826 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_tchigh]
type = NodalVariableValue
nodeid = 511 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_plenum_mid]
type = NodalVariableValue
nodeid = 241 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_inner_midplane]
type = NodalVariableValue
nodeid = 679 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_max]
type = NodalExtremeValue
boundary = '1 2 3'
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_ave]
type = SideAverageValue
boundary = 2
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_central]
type = NodalVariableValue
variable = temp
nodeid = 1569 # !! Mesh dependent
execute_on = 'initial timestep_end'
[]
[temp_fuel_outer_max]
type = NodalExtremeValue
boundary = 10
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[strain_clad_hoop_outer_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = hoop_strain
execute_on = 'initial timestep_end'
[]
[stress_clad_hoop_outer_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = hoop_stress
execute_on = 'initial timestep_end'
[]
[contact_pressure_midplane]
type = ElementalVariableValue
elementid = 1300 # !! Mesh dependent
variable = contact_pressure
execute_on = 'initial timestep_end'
[]
[oxide_thickness_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = oxide_thickness
execute_on = 'initial timestep_end'
[]
[gap_conductance_average]
type = SideAverageValue
boundary = 10
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[coolant_htc_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = coolant_htc
execute_on = 'initial timestep_end'
[]
[coolant_htc_average]
type = SideAverageValue
boundary = 2
variable = coolant_htc
execute_on = 'initial timestep_end'
[]
[coolant_hflux_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = coolant_hflux
execute_on = 'initial timestep_end'
[]
[coolant_hflux_average]
type = SideAverageValue
boundary = 2
variable = coolant_hflux
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'outfile_temp_1'
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet_type_1
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[console]
type = Console
output_linear = true
max_rows = 10
[]
[checkpoint]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_1]
type = CSV
execute_on = 'FINAL'
[]
[outfile_temp_1]
type = CSV
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-08/puzry-08.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-08.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1200. '
y = '1.e+05 1.e+05 1.626e+06' # Linear increase at 0.0763 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1200. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 1200.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-08_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-19/puzry-19_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-19.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 2.53e+06' # Linear increase at 0.0243 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-19_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_1pt5.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_mesh_density = customize
include_fuel = false
include_clad = true
include_plenum = false
pellet_outer_radius = 0.00465
clad_gap_width = 0
clad_thickness = 0.000725
fuel_height = 0.1625
slices_per_block = 10
pellet_bottom_coor = 0.0
nx_c = 1
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_fuel = false
mesh_generator = layered1D_mesh
[]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+07 1.e+07' # 100 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = inner_pressure_func
coolant_pressure = outer_pressure_func
coolant_pressure_scaling_factor = 1
fuel_pin_geometry = pin_geometry
[]
[]
[Physics/SolidMechanics/Layered1D]
[clad]
block = clad
add_variables = true
strain = FINITE
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
decomposition_method = EigenSolution
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz hoop_stress'
group_scalar_vars_in_reference_residual = false
mesh_generator = layered1D_mesh
[]
[]
[AuxVariables]
[disp_y] ## Required for easier visualization in Paraview
[]
[disp_z] ## Required for easier visualization in Paraview
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.0
translation = 0.1625
boundary = 5
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 5
function = inner_pressure_func
[]
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1. # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = temperature
fuel_pin_geometry = pin_geometry
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = clad
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[max_eff_creep_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = effective_creep_strain
[]
[max_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad_slice] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 28 # 1 line element
[]
[inner_pressure_func]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial linear'
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 9 #single line element
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 9 #single line element
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 9 #single line element
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_10MPa_1pt5_out_chkfile
show = 'ave_clad_exterior_temp max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_2/ornl_zr2_2_aniso.i)
# Simulation ORNL burst tests Zr2_2
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr2_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr2_2.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr2_2.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuelcladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.57 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.45 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.48 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
use_automatic_differentiation = true
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 2 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
# hill_constants = "0.5 0.5 0.5 1.0 1.0 1.0"
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[phase_converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004875
clad_outer_radius = 0.005580
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 2.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 2.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr2_2_aniso_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-06/puzry-06.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-06.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 3000. '
y = '1.e+05 1.e+05 1.06e+06' # Linear increase at 0.0759 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 3000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 3000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-06_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_08MPa/rebeka_singlerod_2d_08MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '8.e+06 8.e+06' # 80 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
number_axial_zone = 15
use_ad = true
[]
[]
[Materials]
[converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_08MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-11/puzry-11_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-11.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1200. '
y = '1.e+05 1.e+05 1.534e+06' # Linear increase at 0.0717 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1200. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-11_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1_gas_communication.i)
[GlobalParams]
density = 10452.96
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
slices_within_upper_plenum = 3
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 295.0
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 5.0e-6
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_fuel_radius]
order = FIRST
family = LAGRANGE
[]
[gap_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_moles]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_mole_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_temperature]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_volume]
order = CONSTANT
family = MONOMIAL
[]
[plenum_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[total_moles]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[hoop_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hoop_stress
scalar_type = HoopStress
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[layered_maximum_fuel_radius]
type = SpatialUserObjectAux
block = fuel
user_object = layered_maximum_fuel_radius
variable = layered_maximum_fuel_radius
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_pressure]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
variable = gap_layer_pressure
output_option = 'LAYER_PRESSURE'
execute_on = 'final timestep_end'
[]
[gap_layer_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_MOLES'
variable = gap_layer_moles
execute_on = 'timestep_end'
[]
[gap_layer_mole_rate]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'PLENUM_MOLE_RATE'
variable = gap_layer_mole_rate
execute_on = 'timestep_end'
[]
[gap_layer_temperature]
type = SpatialUserObjectAux
user_object = gap_layer_temperature
variable = gap_layer_temperature
execute_on = 'timestep_end'
[]
[gap_layer_volume]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_VOLUME'
variable = gap_layer_volume
execute_on = 'timestep_end'
[]
[total_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'TOTAL_MOLES'
variable = total_moles
execute_on = 'TIMESTEP_END'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[gas_th_cond]
type = MaterialRealAux
variable = gap_thermal_conductivity
property = gap_conductivity
boundary = 10
execute_on = 'initial linear'
[]
[]
[AxialRelocation]
[relocation]
mesh_generator = layered1D_mesh
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = 'MASS_FRACTION PACKING_FRACTION'
use_axial_gas_communication = true
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = 0.0170917878663391
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
output_gas_mixture = true
outputs = GasMixture
execution_order_group = -2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
incremental_calculation = true
execute_on = 'INITIAL LINEAR'
axial_gas_communication = axial_gas_communication
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period0]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = -200.0
end_time = 172387800.0
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10452.96
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10452.96
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 11
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 10
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[layered_fuel_average]
type = LayeredSideAverage
variable = temperature
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
use_displaced_mesh = false
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_temperature]
type = LayeredGasGapTemperatureUserObject
direction = y
num_layers = 33
fuel_pin_geometry = fuel_pin_geometry
gap_temp = gap_value
variable = temperature
boundary = '5'
distance = pt_distance
execute_on = 'INITIAL TIMESTEP_BEGIN'
execution_order_group = -1
[]
[cladding_failure_status]
type = LayeredSideAverage
variable = burst
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
execute_on = 'TIMESTEP_BEGIN'
[]
[layered_maximum_fuel_radius]
type = LayeredNodalExtremeValue
variable = 'outer_fuel_radius'
direction_min = 0.0
direction_max = 0.48
num_layers = 30
direction = y
boundary = 10
value_type = max
execute_on = 'INITIAL TIMESTEP_END'
[]
[axial_gas_communication]
type = AxialGasCommunication
direction = y
num_layers = 33
distance = pt_distance
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain_fuel = fuel_strain_yy
out_of_plane_strain_cladding = cladding_strain_yy
layered_clad_internal_volume = layered_clad_internal_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_maximum_fuel_radius = layered_maximum_fuel_radius
layered_fuel_temperature = layered_fuel_average
layered_gas_gap_temperature = gap_layer_temperature
axial_relocation_object = axial_relocation
cladding_failure_status = cladding_failure_status
gas_mixture = gas_mixture_thermal_contact
initial_pressure = 2.0e6
material_input = 'fis_gas_released'
execute_on = 'initial timestep_end'
debug_output = true
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[plenum_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial TIMESTEP_BEGIN'
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
[]
[gap_layer_pressure_min]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = min
execute_on = 'initial timestep_end'
[]
[gap_layer_pressure_max]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = max
execute_on = 'initial timestep_end'
[]
[gap_layer_moles]
type = ElementExtremeValue
value_type = max
variable = gap_layer_moles
execute_on = 'initial timestep_end'
[]
[plenum_mole_rate]
type = ElementAverageValue
variable = gap_layer_mole_rate
execute_on = 'initial timestep_end'
[]
[total_moles]
type = ElementExtremeValue
value_type = max
variable = total_moles
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
start_time = -200.0
end_time = 172387800 # End base irradiation
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '172387800 172388043 172488043 172489043 172489073 172489661'
time_dt = '1.0e04 1.0e04 10.0 5.0 0.5 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_1'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
perf_graph = true
exodus = true
[checkpoint]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_1]
type = CSV
# execute_on = 'FINAL'
# create_final_symlink = true
file_base = 'clad/new'
[]
[outfile_temp_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[GasMixture]
type = CSV
file_base = 'GasMixture/'
[]
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/1pt0MPa/25C_sec/25C_sec_Hardy_Tube_Test_1pt0MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr4_1/ornl_zr4_1.i)
# Simulation ORNL burst tests Zr4_1
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr4_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr4_1.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr4_1.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 373.9'
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 98 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004175
clad_outer_radius = 0.004750
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 373.9
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr4_1_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL5_8/OCL5_8.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.270
pellet_outer_radius = 4.78e-3
clad_bot_gap_height = 0.001
clad_top_gap_height = 0.013
clad_thickness = 0.71e-3
clad_gap_width = 0.1e-3
pellet_mesh_density = coarse
clad_mesh_density = coarse
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
initial_condition = 300.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0 496.02 520.74 528.12 545.94 551.28 671.52 885.3 1195.74 1410.36 1657.86 1680 1690 1700 1710 1720 1730 1740 1750 1760 1770 1780 1790 1800 1810 1820 1830 1840 1848'
y = '300 300 405.465 482.048 583.351 632.287 634.297 632.825 630.378 631.059 632.59 633 683 733 783 833 883 933 983 1033 1083 1133 1183 1233 1283 1333 1383 1433 1477'
[]
[temperature_profile]
type = PiecewiseBilinear
data_file = 'temp_profile.csv'
axis = 1
[]
[cladding_temperature]
type = CompositeFunction
functions = 'temperature_func temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
primary = 5
secondary = 10
variable = temperature
gap_conductivity = 0.15 # k of He per Netzsch
[]
[]
[BCs]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temperature
boundary = '2'
function = cladding_temperature
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[outer_pressure]
boundary = '1 2 3'
factor = 101325
[]
[inner_pressure]
boundary = '4 5 6'
factor = 8.28e6
[]
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Materials]
[fuel_thermal]
type = HeatConductionMaterial
block = pellet
thermal_conductivity = 3.5
specific_heat = 330.0
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 10980.0 #perfectly dense UO2
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-04
nl_abs_tol = 1.0e-08
start_time = 0
n_startup_steps = 1
end_time = 1800.0
dtmax = 100
dtmin = 0.0001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10.0
time_dt = '100 10'
time_t = '10 400'
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
show = 'max_clad_temp max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_14MPa/rebeka_singlerod_2d_14MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.4e+07 1.4e+07' # 140 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = false
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.0
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
number_axial_zone = 15
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501 # see Erbacher et al., 1982
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average temperature of cladding exterior
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_14MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-26/puzry-26.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-26.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 1.203e+07' # Linear increase at 0.1193 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-26_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part2.i)
initial_fuel_density = 10452.96
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
restart_file_base = 'IFA_650_4_part1_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[hoop_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hoop_stress
scalar_type = HoopStress
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[]
[AxialRelocation]
[fuel_relo]
mesh_generator = layered1D_mesh
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy
penetration_variable = penetration
clad_inner_volume_addition = 3.17755E-06 # Addition of the volume to bring the starting total volume to 21.5cm^3 to begin the transient experiment
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = MASS_FRACTION
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_gas_types = 'He Ar'
initial_fractions = '0.05 0.95'
initial_moles = initial_moles
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
material_input = fis_gas_released
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period1]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = 172489043
end_time = 172489661
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10452.96
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
# axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
# hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
# end_time = 172387800 # End base irradiation
# end_time = 172489043 # Begin Blowdown
end_time = 172489661 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '172387800 172388043 172488043 172489043 172489073 172489661'
time_dt = '1.0e04 1.0e04 10.0 5.0 3.0 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_2'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_2'
[]
[mass_fraction]
type = LineValueSampler
start_point = '0 0.01124 0'
end_point = '0 0.47524 0'
num_points = 30
sort_by = y
variable = layered_mass_fraction
outputs = 'outfile_mass_2'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
exodus = true
execute_on = 'initial timestep_end'
perf_graph = true
[outfile_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_temp_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[]
(assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT4/MT4_1-1kW_action.i)
################################################################################
#
# Description: LOCA MT-4 Test with constant power level of 1.1 kW/m
#
#
# External files:
# axial peaking factor file MT4_axial_peaking.csv
#
################################################################################
[GlobalParams]
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
displacements = 'disp_x disp_y'
volumetric_locking_correction = false
temperature = temperature
[]
[Problem]
type = ReferenceResidualProblem
group_variables = 'disp_x disp_y'
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 6.1e-4
pellet_mesh_density = customize
ny_p = 100
nx_c = 4
nx_p = 12
pellet_outer_radius = .00413
ny_cu = 3
ny_c = 100
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.66
ny_cl = 3
clad_top_gap_height = 0.18613
clad_gap_width = 7.5e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
[]
[]
[DefaultElementQuality]
aspect_ratio_upper_bound = 253
[]
[AuxVariables]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 110'
y = '1.1e3 1.1e3'
[]
[hmode_function]
type = PiecewiseConstant
x = '0 57 110'
y = '9 10 10'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = MT4_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '0 110'
y = '0.28 0.28'
scale_factor = 1e6
[]
[temp_func]
type = ParsedFunction
expression = '-24.096*y*y+152.47*y+437.81'
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors' # W/m
[]
[]
[AuxKernels]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
[]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
block = clad
execute_on = timestep_end
[]
[burst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
# TODO: Have StandardLWRFuelRodOutputs create this when the feature in issue #1054 is
# developed.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
normalize_penalty = true
model = frictionless
# model = coulomb
formulation = penalty
# friction_coefficient = 1.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1.0 # Pa
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 9.3e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temperature
inlet_temperature = 311 # K
inlet_pressure = 0.28e6 # Pa
# inlet_massflux = massfluxfunc # kg/m^2-sec
rod_diameter = 0.00963 # m
rod_pitch = 1.275e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
heat_transfer_mode = hmode_function
heat_transfer_coefficient = 0.0000001 #W/m^2-K
# heat_transfer_mode = 10
htc_correlation_type = 1
flooding_time = 57.0
flooding_rate = 0.127 # m/s
initial_temperature = 1140 # K
initial_power = 1.628 # kW/m
blockage_ratio = 0.0 #
fuel_stack_length = 3.66 # m
reflooding_model = 1
compute_enthalpy = false
[]
[]
[NuclearMaterials]
fission_operation = LOCA
add_variables = true
physics = 'Mechanics Thermal'
temperature_function = 'temp_func'
stress_free_temperature = temperature
extra_vector_tags = 'ref'
strain = FINITE
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
elastic_strain_yy strain_xx strain_yy strain_zz hoop_stress'
[UO2]
[pellet]
block = pellet
incremental = true
additional_generate_output = 'hydrostatic_stress'
uo2_models = 'Burnup Elastic Swelling '
automatic_eigenstrain_names = true
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
fuel_pin_geometry = pin_geometry
fuel_volume_ratio = 1.0
isotopes = 'U235 U238'
isotope_fractions = '0.0293 0.9707'
density = 10431 #
initial_grain_radius = 7.8e-6
[]
[]
[ZirconiumAlloy]
[clad]
block = clad
incremental = true
additional_generate_output = 'creep_strain_xx creep_strain_yy
creep_strain_xy creep_strain_zz elastic_strain_xx elastic_strain_zz hoop_creep_strain'
automatic_eigenstrain_names = true
failure_criterion = combined_overstress_and_plastic_instability
cladding_models = 'Elastic Creep ThermalExpansion ZrPhase
ZryCladdingFailure'
[]
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temperature
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = 0.0
end_time = 110
dtmax = 5
dtmin = 0.00001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 0.01
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temperature
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[max_betaph_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = fract_beta_phase
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temperature
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[average_fission_rate]
type = ElementAverageValue
block = pellet
variable = fission_rate
execute_on = timestep_end
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = pellet
fission_rate = fission_rate
variable = temperature
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.66 # rod height
execute_on = timestep_end
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
temperature = temperature
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 40
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temperature'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-15/puzry-15_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-15.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 1.183e+07' # Linear increase at 0.1173 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-07
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-15_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-10/puzry-10.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-10.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1200. '
y = '1.e+05 1.e+05 1.52e+06' # Linear increase at 0.0710 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1200. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 1200.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-10_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL11/OCL11.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.270
pellet_outer_radius = 4.78e-3
clad_bot_gap_height = 0.001
clad_top_gap_height = 0.013
clad_thickness = 0.71e-3
clad_gap_width = 0.1e-3
pellet_mesh_density = coarse
clad_mesh_density = coarse
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
initial_condition = 300.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0 496.02 520.74 528.12 545.94 551.28 671.52 885.3 1195.74 1410.36 1657.86 1680 1690 1700 1710 1720 1730 1740 1750 1760 1770 1780 1790 1800 1810 1820 1830 1840 1848'
y = '300 300 405.465 482.048 583.351 632.287 634.297 632.825 630.378 631.059 632.59 633 683 733 783 833 883 933 983 1033 1083 1133 1183 1233 1283 1333 1383 1433 1477'
[]
[temperature_profile]
type = PiecewiseBilinear
data_file = 'temp_profile.csv'
axis = 1
[]
[cladding_temperature]
type = CompositeFunction
functions = 'temperature_func temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
add_variables = true
strain = FINITE
eigenstrain_names = 'fuel_thermal_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = clad_outside_right
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = clad_outside_right
[]
[ofgain_total]
type = MaterialRealAux
boundary = clad_outside_right
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
primary = 5
secondary = 10
variable = temperature
gap_conductivity = 0.15 # k of He per Netzsch
[]
[]
[BCs]
[clad_surface_temperature]
type = FunctionDirichletBC
variable = temperature
boundary = '2'
function = cladding_temperature
[]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[outer_pressure]
boundary = '1 2 3'
factor = 101325
[]
[inner_pressure]
boundary = '4 5 6'
factor = 8.28e6
[]
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.0
inlet_pressure = 101325
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 0.01118
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
[]
[]
[Materials]
[fuel_thermal]
type = HeatConductionMaterial
block = pellet
thermal_conductivity = 3.5
specific_heat = 330.0
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 10980.0 #perfectly dense UO2
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = clad_outside_right
temperature = temperature
clad_inner_radius = 4.88e-3 #checked
clad_outer_radius = 5.59e-3 #checked
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-04
nl_abs_tol = 1.0e-08
start_time = 0
n_startup_steps = 1
end_time = 1800.0
dtmax = 100
dtmin = 0.0001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10.0
time_dt = '100 10'
time_t = '10 400'
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = fract_beta_phase
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[oxide_thickness]
type = ElementAverageValue
block = clad
variable = scale_thickness
execute_on = TIMESTEP_END
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
show = 'max_clad_temp max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-20/puzry-20_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-20.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2500. '
y = '1.e+05 1.e+05 3.475e+06' # Linear increase at 0.0225 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2500. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 7.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-07
relative_tolerance = 1e-07
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-20_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_2/ornl_zr2_2.i)
# Simulation ORNL burst tests Zr2_2
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr2_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr2_2.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr2_2.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 2 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004875
clad_outer_radius = 0.005580
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 2.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 2.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr2_2_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-26/puzry-26_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-26.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 1.203e+07' # Linear increase at 0.1193 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-07
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-26_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_1pt5_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
clad_mesh_density = customize
include_fuel = false
include_clad = true
include_plenum = false
pellet_outer_radius = 0.00465
clad_gap_width = 0
clad_thickness = 0.000725
fuel_height = 0.1625
slices_per_block = 10
pellet_bottom_coor = 0.0
nx_c = 1
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[UserObjects]
[pin_geometry]
type = Layered1DFuelPinGeometry
include_fuel = false
mesh_generator = layered1D_mesh
[]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+07 1.e+07' # 100 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = inner_pressure_func
coolant_pressure = outer_pressure_func
coolant_pressure_scaling_factor = 1
fuel_pin_geometry = pin_geometry
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuelcladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.57 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.45 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.48 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/Layered1D]
[clad]
block = clad
add_variables = true
strain = FINITE
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = pin_geometry
out_of_plane_pressure_function = clad_axial_pressure
decomposition_method = TaylorExpansion
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz strain_xx
strain_yy strain_zz hoop_stress'
group_scalar_vars_in_reference_residual = false
mesh_generator = layered1D_mesh
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[disp_y] ## Required for easier visualization in Paraview
[]
[disp_z] ## Required for easier visualization in Paraview
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[effective_creep_strain]
type = ADMaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
# [inner_temperature]
# type = REBEKADirichletBC
# variable = temperature
# function_tempm = temperature_func
# minimum_temperature = 573.0
# translation = 0.1625
# boundary = 5
# []
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 5
function = inner_pressure_func
[]
[]
[]
# [CoolantChannel]
# [convective_clad_surface]
# boundary = 2
# variable = temperature
# inlet_temperature = 473.
# inlet_pressure = 1.e+05
# inlet_massflux = 1. # kg/m^2-sec # almost stagnant steam
# rod_diameter = 10.75e-03
# rod_pitch = 1.26e-02 # default
# oxide_thickness = scale_thickness
# []
# []
[Materials]
[converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[thermal]
type = ADZryThermal
block = clad
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = clad
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
# use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = 'ad_fract_beta_phase'
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = temperature
fuel_pin_geometry = pin_geometry
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = clad
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[max_eff_creep_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = effective_creep_strain
[]
[max_hoop_strain]
type = ElementExtremeValue
block = clad
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad_slice] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 28 # 1 line element
[]
[inner_pressure_func]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial linear'
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 9 #single line element
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 9 #single line element
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 9 #single line element
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_10MPa_1pt5_out_chkfile
show = 'ave_clad_exterior_temp max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-08/puzry-08_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-08.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1200. '
y = '1.e+05 1.e+05 1.626e+06' # Linear increase at 0.0763 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1200. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 3.45e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-07
relative_tolerance = 1e-07
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-08_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/0pt7MPa/100C_sec/Hardy_Tube_Test_0pt7MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-31/puzry-31.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-31.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1400. '
y = '1.e+05 1.e+05 7.944e+06' # Linear increase at 0.1961 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1400. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 1400.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-31_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/0pt3MPa/100C_sec/100C_sec_Hardy_Tube_Test_0pt3MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_02MPa/rebeka_singlerod_2d_02MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '2.e+06 2.e+06' # 10 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
number_axial_zone = 15
use_ad = true
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ADZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ADZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_02MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/1pt4MPa/100C_sec/100C_sec_Hardy_Tube_Test_1pt4MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-14/puzry-14.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-14.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2500. '
y = '1.e+05 1.e+05 1.795e+07' # Linear increase at 0.1190 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2500. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-14_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-14/puzry-14_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-14.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2500. '
y = '1.e+05 1.e+05 1.795e+07' # Linear increase at 0.1190 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2500. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-07
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-14_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/13pt8MPa/25C_sec/25C_sec_Hardy_Tube_Test_13pt8MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-07/puzry-07.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-07.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1300. '
y = '1.e+05 1.e+05 2.377e+06' # Linear increase at 0.0759 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1300. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 1300.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-07_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr4_1/ornl_zr4_1_ad_hill.i)
# Simulation ORNL burst tests Zr4_1
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr4_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr4_1.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr4_1.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 373.9'
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
# decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
decomposition_method = TaylorExpansion
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 98 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.5 0.5 0.5 1.0 1.0 1.0"
# hill_constants = "0.304 0.240 0.956 1.0 1.0 1.0"
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004175
clad_outer_radius = 0.004750
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 373.9
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr4_1_ad_hill_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-20/puzry-20.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-20.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2500. '
y = '1.e+05 1.e+05 3.475e+06' # Linear increase at 0.0225 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2500. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-20_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/1pt4MPa/25C_sec/25C_sec_Hardy_Tube_Test_1pt4MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-02/puzry-02_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-02.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 7.5e+05' # Linear increase at 0.064 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 2.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-07
relative_tolerance = 1e-07
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-02_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/3pt8MPa/25C_sec/25C_sec_Hardy_Tube_Test_3pt8MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_9/IFA_650_9_part1.i)
initial_fuel_density = 10430.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.262416
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
initial_condition = 295.0
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseBilinear
data_file = average_coolant_htc.csv
axis = 1
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 200412461 200413048'
y = '9 9 8 '
direction = 'right'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
initial_condition = 5.0e-6
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain
fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hoop_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
strain_zz creep_strain_zz hoop_stress'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[]
[AxialRelocation]
[rel]
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_variable = burnup
temperature = temperature
gap_thickness_threshold = 0.00039
axial_relocation_output_options = 'MASS_FRACTION'
mesh_generator = layered1D_mesh
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 199159200
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
material_input = fis_gas_released
output = plenum_pressure
refab_time = 199159200
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 1.9e-05
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period0]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = -200.0
end_time = 199159200.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10430.0
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
start_time = -200.0
end_time = 199159200 # End base irradiation
# end_time = 200412431 # Begin Blowdown
# end_time = 200413048 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '199159200 200312431 200411431 200412431 200412461 200413048'
time_dt = '1.0e04 1.0e04 10.0 5.0 0.5 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_1'
[]
[mass_fraction]
type = LineValueSampler
start_point = '0 0.01124 0'
end_point = '0 0.47524 0'
num_points = 30
sort_by = y
variable = layered_mass_fraction
outputs = 'outfile_mass_1'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
perf_graph = true
[exodus]
type = Exodus
file_base = IFA_650_9_part1_out
execute_on = 'initial timestep_end'
[]
[checkpoint]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_temp_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-11/puzry-11.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-11.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1200. '
y = '1.e+05 1.e+05 1.534e+06' # Linear increase at 0.0717 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1200. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 1200.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-11_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-09/puzry-09.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[disp_x]
[]
[disp_y]
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-09.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1200. '
y = '1.e+05 1.e+05 1.524e+06' # Linear increase at 0.0712 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1200. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 1200.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-09_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_10/IFA_650_10_part2.i)
# Halden test IFA-650.10
initial_fuel_density = 10447
[GlobalParams]
density = ${initial_fuel_density}. # 95.32% of 10960
displacements = 'disp_x disp_y'
temperature = temp
order = FIRST
family = LAGRANGE
energy_per_fission = 3.28451e-11 # J/fission
volumetric_locking_correction = true
[]
[Problem]
restart_file_base = 'IFA_650_10_part1_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
patch_size = 10 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = mesh_ifa65010.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
[]
[]
[Functions]
[linear_heat_rate]
type = PiecewiseLinear
data_file = lhr_average.csv
scale_factor = 1.e+03
format = columns
[]
[axial_power_peaking_factors]
type = PiecewiseBilinear
data_file = lhr_peaking_factors.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[rod_outer_pressure]
type = PiecewiseLinear
data_file = rod_outer_pressure.csv
scale_factor = 1.e+06
format = columns
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = temp_outer_clad.csv
scale_factor = 1.
axis = 1 # (0,1,2) => (x,y,z)
[]
[q] # same as linear_heat_rate for the base irradiation
type = PiecewiseLinear
data_file = lhr_average.csv
scale_factor = 1.e+03
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heat_sink_temperature.csv
scale_factor = 1.
axis = 1 # (0,1,2) => (x,y,z)
[]
[average_coolant_htc]
type = PiecewiseLinear
data_file = htc_average.csv
scale_factor = 1.
format = columns
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '0 125690842. 125691189.5'
y = '9 9 8 '
direction = 'right'
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
format = columns
[]
[]
[AuxVariables]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
[]
[thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_hflux]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[pellet_id]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_1
variable = grain_radius
temperature = temp
execute_on = linear
[]
[thcond]
type = MaterialRealAux
property = thermal_conductivity
variable = thermal_conductivity
block = pellet_type_1
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxi_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
execute_on = 'initial linear'
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[coolant_hflux]
type = MaterialRealAux
property = output_heat_flux
variable = coolant_hflux
boundary = 2
execute_on = 'initial linear'
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
execute_on = 'initial linear'
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
execute_on = 'initial linear'
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
execute_on = 'initial linear'
[]
[pelletid]
type = PelletIdAux
block = pellet_type_1
variable = pellet_id
a_lower = 8.5e-03
a_upper = 448.5e-03
number_pellets = 44
execute_on = initial
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = pellet_type_1
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_eigenstrain
fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
[]
[clad]
block = clad
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
[]
[heat] # gradient term in heat conduction equation
type = HeatConduction
variable = temp
[]
[heat_ie] # time term in heat conduction equation
type = HeatConductionTimeDerivative
variable = temp
[]
[heat_source] # source term in heat conduction equation
type = NeutronHeatSource
variable = temp
block = pellet_type_1
fission_rate = fission_rate
[]
[]
[Burnup]
[burnup]
order = CONSTANT
family = MONOMIAL
block = pellet_type_1
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
num_radial = 50
bias = 0.95
num_axial = 20
a_lower = 8.5e-03
a_upper = 448.5e-03
fuel_inner_radius = 0.
fuel_outer_radius = 4.105e-03
fuel_volume_ratio = 1.
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.04487 0.95513 0 0 0 0'
RPF = RPF
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1.e+07
model = frictionless
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
quadrature = true
normal_smoothing_distance = 0.1
roughness_secondary = 1.8e-07
roughness_primary = 2.e-06
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 124861061.
refab_type = 0
[]
[]
#TODO: Add option in StandardLWRFuelRodOutputs to compute plenum temperature this way.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[BCs]
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_outer_temperature
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
function = rod_outer_pressure
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 2.6e+06
startup_time = 0.
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
refab_time = 124861061.
refab_pressure = 4.e+06
refab_temperature = 293.15
refab_volume = 1.7e-05
[]
[]
[]
[Controls]
#[period0]
# type = TimePeriod
# disable_objects = 'BCs/clad_outer_temp'
# start_time = 0.
# end_time = 124861061.0
#[]
[period1]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = 125690771.0
end_time = 125691189.5
[]
[]
[CoolantChannel]
[convective_clad_surface] # PWR conditions (ignored after base irradiation)
boundary = '1 2 3'
variable = temp
heat_transfer_mode = heat_transfer_mode # prescribe htc until end of blowdown. Then use radiative (+ convective prescribed)
heat_transfer_coefficient = average_coolant_htc # For base irradiation, using averge htc from a previous simulation. Afterwards, use constant values (from jernkvist) plus radiation from end of blowdown
effective_emissivity = 0.6 # 0.75 # cf. Jernkvist
inlet_temperature = heat_sink_temperature # K
#inlet_pressure = 15.5e+06 # Pa
#inlet_massflux = 3800. # kg/m^2-s
rod_diameter = 9.5e-03 # m
rod_pitch = 1.26e-2 # m
linear_heat_rate = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
compute_enthalpy = false #true
#oxide_thickness = oxide_thickness
#heat_transfer_mode = 1 # Natural convection
#htc_correlation_type = 2 # Jens-Lottes (recommended for Halden HBWR)
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_1
thermal_conductivity_model = NFIR
temperature = temp
burnup_function = burnup
initial_porosity = 0.0468
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_1
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_1
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = pellet_type_1
fragmentation_model = BARANI
rod_ave_lin_pow = linear_heat_rate
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
block = pellet_type_1
inelastic_models = 'fuel_creep'
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_1
temperature = temp
burnup_function = burnup
initial_porosity = 0.0468
initial_fuel_density = 10447.
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
[]
[fuel_creep]
type = UO2CreepUpdate
block = pellet_type_1
temperature = temp
fission_rate = fission_rate
#burnup_function = burnup #TODO For consistency, we should specify burnup_function rather than fission_rate,
#but keeping it this way to match the SM model
initial_grain_radius = 4.65e-6
oxygen_to_metal_ratio = 2.0
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_1
burnup_function = burnup
diameter = 8.21e-03
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
diametral_gap =150.e-06
burnup_relocation_stop = 1.e+20
eigenstrain_name = fuel_relocation_eigenstrain
relocation_activation1 = 19685.039
[]
[fission_gas]
type = UO2Sifgrs
block = pellet_type_1
temperature = temp
burnup_function = burnup
grain_radius = grain_radius
gbs_model = true
initial_porosity = 0.0468
diff_coeff_option = TURNBULL_D1_D2
transient_option = MICROCRACKING_BURNUP
pellet_id = pellet_id
pellet_brittle_zone = pbz
ath_model = true
rod_ave_lin_pow = linear_heat_rate
axial_power_profile = axial_power_peaking_factors
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.
specific_heat = 330.
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 300.0 #TODO: It is odd to have different values for fuel and clad, but keeping this way to match SM
eigenstrain_name = clad_thermal_strain
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 1.e+11
poissons_ratio = 0.3
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
#TODO: The parameters below really should be provided, but they weren't specified in the SM model.
# They may have not been included because irradiation creep wasn't modeled. However, they are used in the thermal
# creep model as well.
# fast_neutron_flux = fast_neutron_flux
# fast_neutron_fluence = fast_neutron_fluence
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = clad_irradiation_growth
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temp
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
#eff_strain_rate_plast =
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temp
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50.0
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1.e-05
variable = disp_x
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
l_tol = 1.e-02 # <--- l_tol is ignored when EW is used.
#l_tol = 8.e-03
line_search = 'none'
l_max_its = 200
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-10
n_startup_steps = 1
#end_time = 124861061. # End of base irradiation
#end_time = 125690771. # Blowdown. End prescribing clad outer temperature.
#end_time = 125690842. # End of blowdown
end_time = 125691189.5
dtmax = 5.e+05
dtmin = 0.00000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = timestep_material
dt = 1.e+02
#growth_factor = 1.1
#optimal_iterations = 4
#iteration_window = 2
timestep_limiting_function = forced_times #linear_heat_rate
max_function_change = 2000.
force_step_every_function_point = true
time_t = '121509219. 124861061. 125680151. 125690151. 125690771. 125691027. 125691033.'
time_dt = '5.e+05 1.e+04 1.e+04 10. 5. 0.5 5. '
[]
[]
[UserObjects]
[pbz]
type = PelletBrittleZone
block = pellet_type_1
pellet_id = pellet_id
temperature = temp
a_lower = 8.5e-03
a_upper = 448.5e-03
pellet_radius = 4.105e-03
number_pellets = 44
execute_on = 'initial linear'
[]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = true
[]
[]
[Postprocessors]
[alhr_input]
type = FunctionValuePostprocessor
function = linear_heat_rate
execute_on = 'initial timestep_end'
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[oxygen_fract_max]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[oxygen_fgain_max]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfgain_total
execute_on = 'initial timestep_end'
[]
[creep_rate_max]
type = ElementExtremeValue
value_type = max
variable = creep_rate
block = clad
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
[]
[strain_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
block = clad
[]
[stress_clad_hoop_max]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_midplane]
type = NodalVariableValue
nodeid = 676 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_tclow]
type = NodalVariableValue
nodeid = 826 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_tchigh]
type = NodalVariableValue
nodeid = 511 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_plenum_mid]
type = NodalVariableValue
nodeid = 241 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_inner_midplane]
type = NodalVariableValue
nodeid = 679 # !! Mesh dependent
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_max]
type = NodalExtremeValue
boundary = '1 2 3'
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_clad_outer_ave]
type = SideAverageValue
boundary = 2
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = NodalExtremeValue
block = pellet_type_1
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_central]
type = NodalVariableValue
variable = temp
nodeid = 1569 # !! Mesh dependent
execute_on = 'initial timestep_end'
[]
[temp_fuel_outer_max]
type = NodalExtremeValue
boundary = 10
value_type = max
variable = temp
execute_on = 'initial timestep_end'
[]
[strain_clad_hoop_outer_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = hoop_strain
execute_on = 'initial timestep_end'
[]
[stress_clad_hoop_outer_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = hoop_stress
execute_on = 'initial timestep_end'
[]
[contact_pressure_midplane]
type = ElementalVariableValue
elementid = 1300 # !! Mesh dependent
variable = contact_pressure
execute_on = 'initial timestep_end'
[]
[oxide_thickness_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = oxide_thickness
execute_on = 'initial timestep_end'
[]
[gap_conductance_average]
type = SideAverageValue
boundary = 10
variable = gap_conductance
execute_on = 'initial timestep_end'
[]
[coolant_htc_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = coolant_htc
execute_on = 'initial timestep_end'
[]
[coolant_htc_average]
type = SideAverageValue
boundary = 2
variable = coolant_htc
execute_on = 'initial timestep_end'
[]
[coolant_hflux_midplane]
type = ElementalVariableValue
elementid = 536 # !! Mesh dependent
variable = coolant_hflux
execute_on = 'initial timestep_end'
[]
[coolant_hflux_average]
type = SideAverageValue
boundary = 2
variable = coolant_hflux
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_2'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = 2
sort_by = y
outputs = 'outfile_temp_2'
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet_type_1
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
color = false
[console]
type = Console
output_linear = true
max_rows = 10
[]
[outfile_2]
type = CSV
execute_on = 'FINAL'
[]
[outfile_temp_2]
type = CSV
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-01/puzry-01_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-01.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 7.4e+05' # Linear increase at 0.064 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-07
relative_tolerance = 1e-07
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-01_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-29/puzry-29.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-29.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 7.3e+06' # Linear increase at 0.0720 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-29_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-28/puzry-28.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-28.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2500. '
y = '1.e+05 1.e+05 6.475e+06' # Linear increase at 0.0425 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2500. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-28_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-27/puzry-27_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-27.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 3000. '
y = '1.e+05 1.e+05 5.06e+06' # Linear increase at 0.0248 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 3000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-07
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-27_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-10/puzry-10_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-10.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1200. '
y = '1.e+05 1.e+05 1.52e+06' # Linear increase at 0.0710 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1200. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-10_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr4_1/ornl_zr4_1_ad_hill_aniso.i)
# Simulation ORNL burst tests Zr4_1
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr4_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr4_1.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr4_1.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 373.9'
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
# decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
decomposition_method = TaylorExpansion
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 98 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004175
clad_outer_radius = 0.004750
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 373.9
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr4_1_ad_hill_aniso_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-16/puzry-16_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-16.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 1.234e+07' # Linear increase at 0.1224 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-07
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-16_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+07 1.e+07' # 100 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_10MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-18/puzry-18_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-18.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1500. '
y = '1.e+05 1.e+05 5.855e+06' # Linear increase at 0.1151 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1500. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 5.0e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-18_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL11/OCL11_aniso.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.270
pellet_outer_radius = 4.78e-3
clad_bot_gap_height = 0.001
clad_top_gap_height = 0.013
clad_thickness = 0.71e-3
clad_gap_width = 0.1e-3
pellet_mesh_density = coarse
clad_mesh_density = coarse
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
initial_condition = 300.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0 496.02 520.74 528.12 545.94 551.28 671.52 885.3 1195.74 1410.36 1657.86 1680 1690 1700 1710 1720 1730 1740 1750 1760 1770 1780 1790 1800 1810 1820 1830 1840 1848'
y = '300 300 405.465 482.048 583.351 632.287 634.297 632.825 630.378 631.059 632.59 633 683 733 783 833 883 933 983 1033 1083 1133 1183 1233 1283 1333 1383 1433 1477'
[]
[temperature_profile]
type = PiecewiseBilinear
data_file = 'temp_profile.csv'
axis = 1
[]
[cladding_temperature]
type = CompositeFunction
functions = 'temperature_func temperature_profile'
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuelcladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.57 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.45 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.48 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
use_automatic_differentiation = true
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'fuel_thermal_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
use_automatic_differentiation = true
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = clad_outside_right
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = clad_outside_right
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = clad_outside_right
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
primary = 5
secondary = 10
variable = temperature
gap_conductivity = 0.15 # k of He per Netzsch
[]
[]
[BCs]
[clad_surface_temperature]
type = ADFunctionDirichletBC
variable = temperature
boundary = '2'
function = cladding_temperature
[]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = ADDirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = ADDirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[outer_pressure]
boundary = '1 2 3'
factor = 101325
[]
[inner_pressure]
boundary = '4 5 6'
factor = 8.28e6
[]
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.0
inlet_pressure = 101325
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 0.01118
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
thermal_conductivity = reg_thermal_conductivity
[]
[]
[Materials]
[fuel_thermal]
type = ADHeatConductionMaterial
block = pellet
thermal_conductivity = 3.5
specific_heat = 330.0
[]
[fuel_converter]
type = MaterialADConverter
block = pellet
ad_props_in = 'thermal_conductivity'
reg_props_out = 'reg_thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ADComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ADComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_density]
type = ADStrainAdjustedDensity
block = pellet
strain_free_density = 10980.0 #perfectly dense UO2
[]
[clad_thermal]
type = ADZryThermal
block = clad
temperature = temperature
[]
[clad_converter]
type = MaterialADConverter
block = clad
ad_props_in = 'thermal_conductivity'
reg_props_out = 'reg_thermal_conductivity'
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = clad
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
[]
[hill_constants]
type = ADHillConstants
#hill_constants = "0.5 0.5 0.5 1.0 1.0 1.0"
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = ADStrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[phase_converter]
type = MaterialADConverter
block = clad
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[oxidation]
type = ADZryOxidation
boundary = clad_outside_right
temperature = temperature
clad_inner_radius = 4.88e-3 #checked
clad_outer_radius = 5.59e-3 #checked
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-04
nl_abs_tol = 1.0e-08
start_time = 0
n_startup_steps = 1
end_time = 1800.0
dtmax = 100
dtmin = 0.0001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10.0
time_dt = '100 10'
time_t = '10 400'
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = fract_beta_phase
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[oxide_thickness]
type = ElementAverageValue
block = clad
variable = scale_thickness
execute_on = TIMESTEP_END
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
show = 'max_clad_temp max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_12MPa/rebeka_singlerod_2d_12MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '12.e+06 12.e+06' # 120 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
number_axial_zone = 15
use_ad = true
[]
[]
[Materials]
[converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_12MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-12/puzry-12_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-12.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1200. '
y = '1.e+05 1.e+05 1.546e+06' # Linear increase at 0.0723 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1200. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 2.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-07
relative_tolerance = 1e-07
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-12_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-04/puzry-04.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-04.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 7.2e+05' # Linear increase at 0.0062 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-04_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_04MPa/rebeka_singlerod_2d_04MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '4.e+06 4.e+06' # 40 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = false
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.0
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
number_axial_zone = 15
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501 # see Erbacher et al., 1982
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average temperature of cladding exterior
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_04MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_04MPa/rebeka_singlerod_2d_04MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '4.e+06 4.e+06' # 10 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
number_axial_zone = 15
use_ad = true
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ADZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ADZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_04MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_9/IFA_650_9_part2.i)
initial_fuel_density = 10430.0
[GlobalParams]
density = ${initial_fuel_density}
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
restart_file_base = 'IFA_650_9_part1_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.262416
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseBilinear
data_file = average_coolant_htc.csv
axis = 1
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 200412461 200413048'
y = '9 9 8 '
direction = 'right'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain
fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hoop_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
strain_zz creep_strain_zz hoop_stress'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[]
[AxialRelocation]
[rel]
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy
penetration_variable = penetration
clad_inner_volume_addition = 2.73291E-06 # Addition of the volume to bring the starting total volume to 19cm^3 to begin the transient experiment
burnup_variable = burnup
temperature = temperature
gap_thickness_threshold = 0.00039
axial_relocation_output_options = 'MASS_FRACTION'
mesh_generator = layered1D_mesh
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 199159200
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
material_input = fis_gas_released
output = plenum_pressure
refab_time = 199159200
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 1.9e-05
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period1]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = 200412431
end_time = 200413048
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10430.0
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
# axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 1e-3
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
# end_time = 199159200 # End base irradiation
# end_time = 200412431 # Begin Blowdown
end_time = 200413048 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '199159200 200312431 200411431 200412431 200412461 200413048'
time_dt = '1.0e04 1.0e04 10.0 5.0 0.5 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_2'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_2'
[]
[mass_fraction]
type = LineValueSampler
start_point = '0 0.01124 0'
end_point = '0 0.47524 0'
num_points = 30
sort_by = y
variable = layered_mass_fraction
outputs = 'outfile_mass_2'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
exodus = true
execute_on = 'initial timestep_end'
perf_graph = true
[outfile_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_temp_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-07/puzry-07_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-07.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1300. '
y = '1.e+05 1.e+05 2.377e+06' # Linear increase at 0.0759 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1300. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 2.0e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-07
relative_tolerance = 1e-07
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-07_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/0pt7MPa/25C_sec/25C_sec_Hardy_Tube_Test_0pt7MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_12MPa/rebeka_singlerod_2d_12MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.2e+07 1.2e+07' # 120 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = false
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.0
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
number_axial_zone = 15
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501 # see Erbacher et al., 1982
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average temperature of cladding exterior
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_12MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_14MPa/rebeka_singlerod_2d_14MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '14.e+06 14.e+06' # 140 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
number_axial_zone = 15
use_ad = true
[]
[]
[Materials]
[converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_14MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-21/puzry-21.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-21.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 4000. '
y = '1.e+05 1.e+05 5.14e+06' # Linear increase at 0.0168 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 4000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 4000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-21_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/2pt8MPa/25C_sec/25C_sec_Hardy_Tube_Test_2pt8MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_1/ornl_zr2_1_aniso.i)
# Simulation ORNL burst tests Zr2_1
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr2_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr2_1.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr2_1.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 400. '
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuelcladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.57 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.45 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.48 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
use_automatic_differentiation = true
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 2 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[phase_converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004875
clad_outer_radius = 0.005580
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 400.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr2_1_aniso_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-25/puzry-25.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-25.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 6000. '
y = '1.e+05 1.e+05 8.75e+06' # Linear increase at 0.0173 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 6000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 6000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-25_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL11/OCL11_ad.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.270
pellet_outer_radius = 4.78e-3
clad_bot_gap_height = 0.001
clad_top_gap_height = 0.013
clad_thickness = 0.71e-3
clad_gap_width = 0.1e-3
pellet_mesh_density = coarse
clad_mesh_density = coarse
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
initial_condition = 300.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0 496.02 520.74 528.12 545.94 551.28 671.52 885.3 1195.74 1410.36 1657.86 1680 1690 1700 1710 1720 1730 1740 1750 1760 1770 1780 1790 1800 1810 1820 1830 1840 1848'
y = '300 300 405.465 482.048 583.351 632.287 634.297 632.825 630.378 631.059 632.59 633 683 733 783 833 883 933 983 1033 1083 1133 1183 1233 1283 1333 1383 1433 1477'
[]
[temperature_profile]
type = PiecewiseBilinear
data_file = 'temp_profile.csv'
axis = 1
[]
[cladding_temperature]
type = CompositeFunction
functions = 'temperature_func temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
use_automatic_differentiation = true
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'fuel_thermal_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
use_automatic_differentiation = true
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = clad_outside_right
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = clad_outside_right
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = clad_outside_right
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
primary = 5
secondary = 10
variable = temperature
gap_conductivity = 0.15 # k of He per Netzsch
[]
[]
[BCs]
[clad_surface_temperature]
type = ADFunctionDirichletBC
variable = temperature
boundary = '2'
function = cladding_temperature
[]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = ADDirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = ADDirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[outer_pressure]
boundary = '1 2 3'
factor = 101325
[]
[inner_pressure]
boundary = '4 5 6'
factor = 8.28e6
[]
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.0
inlet_pressure = 101325
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 0.01118
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
thermal_conductivity = reg_thermal_conductivity
[]
[]
[Materials]
[fuel_thermal]
type = ADHeatConductionMaterial
block = pellet
thermal_conductivity = 3.5
specific_heat = 330.0
[]
[fuel_converter]
type = MaterialADConverter
block = pellet
ad_props_in = 'thermal_conductivity'
reg_props_out = 'reg_thermal_conductivity'
[]
[fuel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ADComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ADComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_density]
type = ADStrainAdjustedDensity
block = pellet
strain_free_density = 10980.0 #perfectly dense UO2
[]
[clad_thermal]
type = ADZryThermal
block = clad
temperature = temperature
[]
[clad_converter]
type = MaterialADConverter
block = clad
ad_props_in = 'thermal_conductivity'
reg_props_out = 'reg_thermal_conductivity'
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = clad
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.5 0.5 0.5 1.0 1.0 1.0"
#hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
#function_names = "F G H L M N"
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = ADStrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[phase_converter]
type = MaterialADConverter
block = clad
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[oxidation]
type = ADZryOxidation
boundary = clad_outside_right
temperature = temperature
clad_inner_radius = 4.88e-3 #checked
clad_outer_radius = 5.59e-3 #checked
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-04
nl_abs_tol = 1.0e-08
start_time = 0
n_startup_steps = 1
end_time = 1800.0
dtmax = 100
dtmin = 0.0001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10.0
time_dt = '100 10'
time_t = '10 400'
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = fract_beta_phase
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[oxide_thickness]
type = ElementAverageValue
block = clad
variable = scale_thickness
execute_on = TIMESTEP_END
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
show = 'max_clad_temp max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part3_gas_communication.i)
[GlobalParams]
density = 10452.96
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
restart_file_base = 'IFA_650_4_part2_gas_communication_checkpoint2_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
slices_within_upper_plenum = 3
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_fuel_radius]
order = FIRST
family = LAGRANGE
[]
[gap_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_moles]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_mole_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_temperature]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_volume]
order = CONSTANT
family = MONOMIAL
[]
[plenum_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[total_moles]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[hoop_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hoop_stress
scalar_type = HoopStress
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[layered_maximum_fuel_radius]
type = SpatialUserObjectAux
block = fuel
user_object = layered_maximum_fuel_radius
variable = layered_maximum_fuel_radius
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_pressure]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
variable = gap_layer_pressure
output_option = 'LAYER_PRESSURE'
execute_on = 'final timestep_end'
[]
[gap_layer_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_MOLES'
variable = gap_layer_moles
execute_on = 'timestep_end'
[]
[gap_layer_mole_rate]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'PLENUM_MOLE_RATE'
variable = gap_layer_mole_rate
execute_on = 'timestep_end'
[]
[gap_layer_temperature]
type = SpatialUserObjectAux
user_object = gap_layer_temperature
variable = gap_layer_temperature
execute_on = 'timestep_end'
[]
[gap_layer_volume]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_VOLUME'
variable = gap_layer_volume
execute_on = 'timestep_end'
[]
[total_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'TOTAL_MOLES'
variable = total_moles
execute_on = 'TIMESTEP_END'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[gas_th_cond]
type = MaterialRealAux
variable = gap_thermal_conductivity
property = gap_conductivity
boundary = 10
execute_on = 'initial linear'
[]
[]
[AxialRelocation]
[relocation]
mesh_generator = layered1D_mesh
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy
penetration_variable = penetration
clad_inner_volume_addition = 3.17755E-06 # Addition of the volume to bring the starting total volume to 21.5cm^3 to begin the transient experiment
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = 'MASS_FRACTION PACKING_FRACTION'
use_axial_gas_communication = true
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_gas_types = 'He Ar'
initial_fractions = '0.05 0.95'
# initial_moles = initial_moles
# gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
output_gas_mixture = true
outputs = GasMixture
execution_order_group = -2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
incremental_calculation = true
execute_on = 'INITIAL LINEAR'
axial_gas_communication = axial_gas_communication
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10452.96
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
#axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
#hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10452.96
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'gap_layer_pressure_max < 101325.01'
execute_on = 'TIMESTEP_END'
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 11
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 10
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[layered_fuel_average]
type = LayeredSideAverage
variable = temperature
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
use_displaced_mesh = false
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_temperature]
type = LayeredGasGapTemperatureUserObject
direction = y
num_layers = 33
fuel_pin_geometry = fuel_pin_geometry
gap_temp = gap_value
variable = temperature
boundary = '5'
distance = pt_distance
execute_on = 'INITIAL TIMESTEP_BEGIN'
execution_order_group = -1
[]
[cladding_failure_status]
type = LayeredSideAverage
variable = burst
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
execute_on = 'TIMESTEP_BEGIN'
[]
[layered_maximum_fuel_radius]
type = LayeredNodalExtremeValue
variable = 'outer_fuel_radius'
direction_min = 0.0
direction_max = 0.48
num_layers = 30
direction = y
boundary = 10
value_type = max
execute_on = 'INITIAL TIMESTEP_END'
[]
[axial_gas_communication]
type = AxialGasCommunication
direction = y
num_layers = 33
distance = pt_distance
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain_fuel = fuel_strain_yy
out_of_plane_strain_cladding = cladding_strain_yy
layered_clad_internal_volume = layered_clad_internal_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_maximum_fuel_radius = layered_maximum_fuel_radius
layered_fuel_temperature = layered_fuel_average
layered_gas_gap_temperature = gap_layer_temperature
axial_relocation_object = axial_relocation
cladding_failure_status = cladding_failure_status
gas_mixture = gas_mixture_thermal_contact
initial_pressure = 2.0e6
equilibrium_pressure = 7.5e5
material_input = 'fis_gas_released'
execute_on = 'initial timestep_end'
debug_output = true
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[plenum_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial TIMESTEP_BEGIN'
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
[]
[gap_layer_pressure_min]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = min
execute_on = 'initial timestep_end'
[]
[gap_layer_pressure_max]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = max
execute_on = 'initial timestep_end'
[]
[gap_layer_moles]
type = ElementExtremeValue
value_type = max
variable = gap_layer_moles
execute_on = 'initial timestep_end'
[]
[plenum_mole_rate]
type = ElementAverageValue
variable = gap_layer_mole_rate
execute_on = 'initial timestep_end'
[]
[total_moles]
type = ElementExtremeValue
value_type = max
variable = total_moles
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dt = .1
end_time = 172489651 # End
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_3'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_3'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
exodus = true
[exodus3]
type = Exodus
file_base = IFA_650_4_gas_part3_out
execute_on = 'initial timestep_end'
[]
[checkpoint3]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_3]
type = CSV
#execute_on = 'FINAL'
#create_final_symlink = true
file_base = 'clad3/new'
[]
[outfile_temp_3]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_3]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[GasMixture]
type = CSV
file_base = 'GasMixture/'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-01/puzry-01.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-01.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 7.4e+05' # Linear increase at 0.0064 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700.0
temperature_loca_creep_begin = 900.0
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.0
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-01_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-03/puzry-03.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-03.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 7.3e+05' # Linear increase at 0.0063 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-03_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_01MPa/rebeka_singlerod_2d_01MPa_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+06 1.e+06' # 10 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
number_axial_zone = 15
use_ad = true
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ADZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ADZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_01MPa_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part2_gas_communication.i)
[GlobalParams]
density = 10452.96
initial_porosity = 0.048
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
restart_file_base = 'IFA_650_4_part1_gas_communication_checkpoint_cp/LATEST'
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
slices_within_upper_plenum = 3
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[disp_x]
[]
[temperature]
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = fuel
[]
[hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[oxide_thickness]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_fuel_radius]
order = FIRST
family = LAGRANGE
[]
[gap_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_moles]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_mole_rate]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_temperature]
order = CONSTANT
family = MONOMIAL
[]
[gap_layer_volume]
order = CONSTANT
family = MONOMIAL
[]
[plenum_layer_pressure]
order = CONSTANT
family = MONOMIAL
[]
[total_moles]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
burnup_function = burnup
axial_relocation_object = axial_relocation
extra_vector_tags = 'ref'
[]
[]
[Physics]
[SolidMechanics]
[Layered1D]
[fuel]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_pressure_function = fuel_axial_pressure
strain = finite
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_swelling_strain fuel_relocation_strain axial_relocation_eigenstrain'
decomposition_method = EigenSolution
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress'
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[clad]
add_scalar_variables = true
out_of_plane_strain_name = strain_yy
fuel_pin_geometry = fuel_pin_geometry
strain = finite
out_of_plane_pressure_function = clad_axial_pressure
block = clad
eigenstrain_names = 'clad_thermal_strain clad_irradiation_strain'
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress strain_zz creep_strain_zz'
decomposition_method = EigenSolution
extra_vector_tags = 'ref'
group_scalar_vars_in_reference_residual = true
mesh_generator = layered1D_mesh
[]
[]
[]
[]
[Burnup]
[burnup]
block = fuel
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 80
num_axial = 11
fuel_pin_geometry = fuel_pin_geometry
fuel_volume_ratio = 1.0
order = CONSTANT
family = MONOMIAL
RPF = RPF
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.035 0.965 0 0 0 0'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
block = clad
variable = fast_neutron_flux
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
factor = 3e13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = fuel
variable = grain_radius
temperature = temperature
execute_on = linear
[]
[hoop_stress]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = hoop_stress
scalar_type = HoopStress
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[layered_maximum_fuel_radius]
type = SpatialUserObjectAux
block = fuel
user_object = layered_maximum_fuel_radius
variable = layered_maximum_fuel_radius
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_pressure]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
variable = gap_layer_pressure
output_option = 'LAYER_PRESSURE'
execute_on = 'final timestep_end'
[]
[gap_layer_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_MOLES'
variable = gap_layer_moles
execute_on = 'timestep_end'
[]
[gap_layer_mole_rate]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'PLENUM_MOLE_RATE'
variable = gap_layer_mole_rate
execute_on = 'timestep_end'
[]
[gap_layer_temperature]
type = SpatialUserObjectAux
user_object = gap_layer_temperature
variable = gap_layer_temperature
execute_on = 'timestep_end'
[]
[gap_layer_volume]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'LAYER_VOLUME'
variable = gap_layer_volume
execute_on = 'timestep_end'
[]
[total_moles]
type = AxialGasCommunicationAux
axial_gas_communication = axial_gas_communication
output_option = 'TOTAL_MOLES'
variable = total_moles
execute_on = 'TIMESTEP_END'
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
execute_on = 'initial linear'
[]
[oxide_thickness]
type = MaterialRealAux
boundary = 2
variable = oxide_thickness
property = oxide_scale_thickness
execute_on = 'initial linear'
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[gas_th_cond]
type = MaterialRealAux
variable = gap_thermal_conductivity
property = gap_conductivity
boundary = 10
execute_on = 'initial linear'
[]
[]
[AxialRelocation]
[relocation]
mesh_generator = layered1D_mesh
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy
penetration_variable = penetration
clad_inner_volume_addition = 3.17755E-06 # Addition of the volume to bring the starting total volume to 21.5cm^3 to begin the transient experiment
burnup_variable = burnup
temperature = temperature
axial_relocation_output_options = 'MASS_FRACTION PACKING_FRACTION'
use_axial_gas_communication = true
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc # Calculated from an initial simulation of the base irradiation using the inlet_pressure, inlet_massflux, and inlet_temperature commented out below.
inlet_temperature = heat_sink_temperature # K
effective_emissivity = 0.75
# inlet_temperature = 580
# inlet_pressure = 15.3e6 # Pa
# inlet_massflux = 3800 # kg/m^2-sec
rod_diameter = 0.01075 # m
rod_pitch = 1.26e-2 # m
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_gas_types = 'He Ar'
initial_fractions = '0.05 0.95'
# initial_moles = initial_moles
# gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
output_gas_mixture = true
outputs = GasMixture
execution_order_group = -2
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
incremental_calculation = true
execute_on = 'INITIAL LINEAR'
axial_gas_communication = axial_gas_communication
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period1]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = 172489043
end_time = 172489661
[]
[]
[Materials]
[fuel_thermal]
type = UO2Thermal
block = fuel
thermal_conductivity_model = STAICU
hbs_porosity_correction = KAMPF
model_hbs_formation = true
temperature = temperature
burnup_function = burnup
axial_relocation_object = axial_relocation
gap_thermal_conductivity = layered_average_gap_conductivity
[]
[relocation]
type = UO2RelocationEigenstrain
block = fuel
burnup_function = burnup
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
fuel_pin_geometry = fuel_pin_geometry
burnup_relocation_stop = 0.024
relocation_activation1 = 5000.0
relocation_model = ESCORE_modified
eigenstrain_name = fuel_relocation_strain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = fuel
burnup_function = burnup
initial_fuel_density = 10452.96
eigenstrain_name = fuel_swelling_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temperature
burnup_function = burnup
grain_radius = grain_radius
transient_option = MICROCRACKING_BURNUP
diff_coeff_option = TURNBULL_D1_D2
gbs_model = true
[]
[fuel_elasticity_tensor]
type = UO2IsotropicDamageElasticityTensor
block = fuel
fragmentation_model = BARANI
temperature = temperature
rod_ave_lin_pow = power_history
#axial_relocation_object = axial_relocation
crumbling_scale_factor = 0.0001
[]
[fuel_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'fuel_creep'
block = fuel
[]
[fuel_creep]
type = UO2CreepUpdate
block = fuel
temperature = temperature
burnup_function = burnup
initial_grain_radius = 5.0e-6
[]
[HBS]
type = HighBurnupStructureFormation
block = fuel
burnup_function = burnup
temperature = temperature
output_properties = 'hbs_volume_fraction'
outputs = 'exodus'
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
[]
[stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zrycreep'
block = clad
[]
[zrycreep]
type = ZryCreepLOCAUpdate
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = true
model_primary_creep = true
model_thermal_creep = true
max_inelastic_increment = 5e-4
zircaloy_material_type = stress_relief_annealed
block = clad
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_strain
[]
[irradiation_swelling]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = stress_relief_annealed
eigenstrain_name = clad_irradiation_strain
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 4.65e-03
clad_outer_radius = 5.375e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = cathcart
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = plastic_instability
hoop_stress = hoop_stress
#hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[clad_thermal]
type = ZryThermal
block = clad
temperature = temperature
[]
[fuel_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10452.96
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[cladding_strain_yy]
type = LayeredAverage
block = clad
num_layers = 11
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[fuel_strain_yy]
type = LayeredAverage
block = fuel
num_layers = 10
direction = y
variable = strain_yy
execute_on = 'initial timestep_end'
[]
[layered_fuel_average]
type = LayeredSideAverage
variable = temperature
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
use_displaced_mesh = false
execute_on = 'TIMESTEP_BEGIN'
[]
[gap_layer_temperature]
type = LayeredGasGapTemperatureUserObject
direction = y
num_layers = 33
fuel_pin_geometry = fuel_pin_geometry
gap_temp = gap_value
variable = temperature
boundary = '5'
distance = pt_distance
execute_on = 'INITIAL TIMESTEP_BEGIN'
execution_order_group = -1
[]
[cladding_failure_status]
type = LayeredSideAverage
variable = burst
direction = y
num_layers = 30
boundary = 2
direction_min = 0
direction_max = .48
execute_on = 'TIMESTEP_BEGIN'
[]
[layered_maximum_fuel_radius]
type = LayeredNodalExtremeValue
variable = 'outer_fuel_radius'
direction_min = 0.0
direction_max = 0.48
num_layers = 30
direction = y
boundary = 10
value_type = max
execute_on = 'INITIAL TIMESTEP_END'
[]
[axial_gas_communication]
type = AxialGasCommunication
direction = y
num_layers = 33
distance = pt_distance
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain_fuel = fuel_strain_yy
out_of_plane_strain_cladding = cladding_strain_yy
layered_clad_internal_volume = layered_clad_internal_volume
layered_maximum_clad_radius = layered_maximum_clad_radius
layered_maximum_fuel_radius = layered_maximum_fuel_radius
layered_fuel_temperature = layered_fuel_average
layered_gas_gap_temperature = gap_layer_temperature
axial_relocation_object = axial_relocation
cladding_failure_status = cladding_failure_status
gas_mixture = gas_mixture_thermal_contact
initial_pressure = 2.0e6
material_input = 'fis_gas_released'
execute_on = 'initial timestep_end'
debug_output = true
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = NodalExtremeValue
block = fuel
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[plenum_volume]
type = LayeredInternalVolumePostprocessor
boundary = 9
execute_on = 'initial TIMESTEP_BEGIN'
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
[]
[gap_layer_pressure_min]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = min
execute_on = 'initial timestep_end'
[]
[gap_layer_pressure_max]
type = ElementExtremeValue
variable = gap_layer_pressure
value_type = max
execute_on = 'initial timestep_end'
[]
[gap_layer_moles]
type = ElementExtremeValue
value_type = max
variable = gap_layer_moles
execute_on = 'initial timestep_end'
[]
[plenum_mole_rate]
type = ElementAverageValue
variable = gap_layer_mole_rate
execute_on = 'initial timestep_end'
[]
[total_moles]
type = ElementExtremeValue
value_type = max
variable = total_moles
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 100
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
end_time = 172489661 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '172387800 172388043 172488043 172489043 172489073 172489661'
time_dt = '1.0e04 1.0e04 10.0 5.0 3.0 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_2'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_2'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
perf_graph = true
exodus = true
[exodus2]
type = Exodus
file_base = IFA_650_4_gas_part2_out
execute_on = 'initial timestep_end'
[]
[checkpoint2]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_2]
type = CSV
#execute_on = 'FINAL'
#create_final_symlink = true
file_base = 'clad2/new'
[]
[outfile_temp_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_2]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[GasMixture]
type = CSV
file_base = 'GasMixture/'
[]
[]
(test/tests/zry_burst_opening/jernkvist_opening.i)
#--------------------------------------------------------------------------------
#
# This test case is prepared to test the Zircaloy burst opening postprocessor when
# selecting the Jernkvist option. A fictitious failure criterion is applied such
# that when the hoop stress exceeds 100 MPa the tube is deemed to have failed.
#
# The length, width, and area of the rupture opening are reported in m.
#
#
#--------------------------------------------------------------------------------
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[generated_mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 1
ny = 1
xmin = 0.005
xmax = 0.0055
ymin = 0.0
ymax = 0.01
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 11'
y = '0 11e6'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[tube]
block = 0
add_variables = true
generate_output = hoop_stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
[]
[]
[BCs]
[Pressure]
[pressure]
boundary = 'left'
function = pressure_function
[]
[]
[no_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[]
[Materials]
[stress]
type = ComputeLinearElasticStress
block = 0
[]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 1e9
poissons_ratio = 0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-12
l_tol = 1e-5
start_time = 0.0
end_time = 11
[TimeStepper]
type = ConstantDT
dt = 1
[]
[]
[UserObjects]
[arnold]
type = Terminator
expression = 'peak_hoop_stress >= 100e6'
[]
[]
[Postprocessors]
[peak_hoop_stress]
type = ElementExtremeValue
block = 0
variable = hoop_stress
value_type = max
[]
[opening_length]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = Jernkvist
# peak_hoop_stress = peak_hoop_stress
output = length
[]
[opening_width]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = Jernkvist
peak_hoop_stress = peak_hoop_stress
output = width
[]
[opening_area]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = Jernkvist
peak_hoop_stress = peak_hoop_stress
output = area
[]
[]
[Outputs]
csv = true
[]
(test/tests/zry_burst_opening/ornl_opening.i)
#--------------------------------------------------------------------------------
#
# This test case is prepared to test the Zircaloy burst opening postprocessor when
# selecting the Jernkvist option. A fictitious failure criterion is applied such
# that when the hoop stress exceeds 100 MPa the tube is deemed to have failed.
#
# The length, width, and area of the rupture opening are reported in m. Three different
# values are reported for the area assuming different shapes of oval, rhombus,
# and rectangle for the opening.
#--------------------------------------------------------------------------------
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[generated_mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 1
ny = 1
xmin = 0.005
xmax = 0.0055
ymin = 0.0
ymax = 0.01
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 11'
y = '0 11e6'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[tube]
block = 0
add_variables = true
generate_output = 'hoop_strain hoop_stress'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
[]
[]
[BCs]
[Pressure]
[pressure]
boundary = 'left'
function = pressure_function
[]
[]
[no_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[]
[Materials]
[stress]
type = ComputeLinearElasticStress
block = 0
[]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 2e8
poissons_ratio = 0
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-ksp_gmres_restart'
petsc_options_value = '101'
line_search = 'none'
l_max_its = 100
nl_max_its = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-12
l_tol = 1e-5
start_time = 0.0
end_time = 11
[TimeStepper]
type = ConstantDT
dt = 1
[]
[]
[UserObjects]
[arnold]
type = Terminator
expression = 'peak_hoop_stress >= 100e6'
[]
[]
[Postprocessors]
[peak_hoop_strain]
type = ElementExtremeValue
block = 0
variable = hoop_strain
value_type = max
[]
[peak_hoop_stress]
type = ElementExtremeValue
block = 0
variable = hoop_stress
value_type = max
[]
[opening_length_average]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
# peak_hoop_strain = peak_hoop_strain
output = length
[]
[opening_width_average]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
peak_hoop_strain = peak_hoop_strain
output = width
[]
[opening_area_oval_average]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
peak_hoop_strain = peak_hoop_strain
output = area
[]
[opening_area_rhombus_average]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
opening_shape = rhombus
peak_hoop_strain = peak_hoop_strain
output = area
[]
[opening_area_rectangle_average]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
opening_shape = rectangle
peak_hoop_strain = peak_hoop_strain
output = area
[]
[opening_length_limiting]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
estimate = limiting
peak_hoop_strain = peak_hoop_strain
output = length
[]
[opening_width_limiting]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
estimate = limiting
peak_hoop_strain = peak_hoop_strain
output = width
[]
[opening_area_oval_limiting]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
estimate = limiting
peak_hoop_strain = peak_hoop_strain
output = area
[]
[opening_area_rhombus_limiting]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
estimate = limiting
opening_shape = rhombus
peak_hoop_strain = peak_hoop_strain
output = area
[]
[opening_area_rectangle_limiting]
type = ZryBurstOpening
cladding_diameter = 0.011
rupture_model = ORNL
estimate = limiting
opening_shape = rectangle
peak_hoop_strain = peak_hoop_strain
output = area
[]
[]
[Outputs]
csv = true
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/3pt8MPa/100C_sec/100C_sec_Hardy_Tube_Test_3pt8MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/5pt5MPa/100C_sec/100C_sec_Hardy_Tube_Test_5pt5MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT4/MT4_1-2kW.i)
################################################################################
#
# Description: LOCA MT-4 Test with constant power level of 1.2 kW/m
#
#
# External files:
# axial peaking factor file MT4_axial_peaking.csv
#
################################################################################
[GlobalParams]
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
displacements = 'disp_x disp_y'
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
group_variables = 'disp_x disp_y'
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 6.1e-4
pellet_mesh_density = customize
ny_p = 100
nx_c = 4
nx_p = 12
pellet_outer_radius = .00413
ny_cu = 3
ny_c = 100
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.66
ny_cl = 3
clad_top_gap_height = 0.18613
clad_gap_width = 7.5e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[DefaultElementQuality]
aspect_ratio_upper_bound = 253
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[]
[AuxVariables]
[temp_initial]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 7.8e-6 # 2D grain radius
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 110'
y = '1.2e3 1.2e3'
[]
[hmode_function]
type = PiecewiseConstant
x = '0 57 110'
y = '9 10 10'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = MT4_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '0 110'
y = '0.28 0.28'
scale_factor = 1e6
[]
[temp_func]
type = ParsedFunction
expression = '-24.096*y*y+152.47*y+437.81'
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors' # W/m
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz elastic_strain_yy strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy
strain_zz hoop_stress' #plastic_strain_xx plastic_strain_yy plastic_strain_zz
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
axial_power_profile = axial_peaking_factors
factor = 0.16e15 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
block = clad
execute_on = timestep_end
[]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
block = clad
execute_on = timestep_end
[]
[burst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
# TODO: Have StandardLWRFuelRodOutputs create this when the feature in issue #1054 is
# developed.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.66478
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00413 # m
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0293 .9707 0 0 0 0'
RPF = RPF
density = 10431.0 #95 %TD Assume TD = 10980 kg/cm3
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
normalize_penalty = true
model = frictionless
# model = coulomb
formulation = penalty
# friction_coefficient = 1.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1.0 # Pa
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 9.3e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = 311 # K
inlet_pressure = 0.28e6 # Pa
# inlet_massflux = massfluxfunc # kg/m^2-sec
rod_diameter = 0.00963 # m
rod_pitch = 1.275e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
heat_transfer_mode = hmode_function
heat_transfer_coefficient = 0.0000001 #W/m^2-K
# heat_transfer_mode = 10
htc_correlation_type = 1
flooding_time = 57.0
flooding_rate = 0.127 # m/s
initial_temperature = 1140 # K
initial_power = 1.776 # kW/m
blockage_ratio = 0.0 #
fuel_stack_length = 3.66 # m
reflooding_model = 1
compute_enthalpy = false
[]
[]
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = temp_initial
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0 #95 %TD Assume TD = 10980 kg/cm3
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
# initial_grain_radius = 6.552e-6 # 2D grain radius 4.2e-6
grain_radius = grain_radius
gbs_model = true
burnup = burnup
# compute_swelling = true
transient_option = MICROCRACKING
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 10431 #95 %TD Assume TD = 10980 kg/cm3
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temp
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_standard_thermal_creep_end = 700.0
temperature_loca_creep_begin = 900.0
max_inelastic_increment = 1e-4
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
temperature = temp
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = temp_initial
eigenstrain_name = clad_thermal_eigenstrain
[]
[phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temp
fraction_beta_phase = fract_beta_phase
outputs = all
output_properties = 'failed burst_stress'
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = 0.0
end_time = 58.2
dtmax = 5
dtmin = 0.00001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 0.01
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[average_fission_rate]
type = ElementAverageValue
block = pellet
variable = fission_rate
execute_on = timestep_end
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = pellet
fission_rate = fission_rate
variable = temp
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.66 # rod height
execute_on = timestep_end
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 40
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-30/puzry-30_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-30.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1300. '
y = '1.e+05 1.e+05 7.99e+06' # Linear increase at 0.2630 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1300. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-07
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-30_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-24/puzry-24_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-24.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 6000. '
y = '1.e+05 1.e+05 9.05e+06' # Linear increase at 0.0179 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 6000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-07
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-24_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-05/puzry-05_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-05.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 7.2e+05' # Linear increase at 0.062 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-07
relative_tolerance = 1e-07
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-05_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/0pt3MPa/25C_sec/25C_sec_Hardy_Tube_Test_0pt3MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-30/puzry-30.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-30.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1300. '
y = '1.e+05 1.e+05 7.99e+06' # Linear increase at 0.2630 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1300. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 1300.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-30_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT6A/MT6A_1-1kW.i)
################################################################################
#
# Description: LOCA MT-6A Test with constant power level of 1.1 kW/m
#
#
# External files:
# axial peaking factor file MT6A_axial_peaking.csv
#
################################################################################
[GlobalParams]
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
displacements = 'disp_x disp_y'
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
group_variables = 'disp_x disp_y'
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 6.1e-4
pellet_mesh_density = customize
ny_p = 100
nx_c = 4
nx_p = 12
pellet_outer_radius = .00413
ny_cu = 3
ny_c = 100
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.66
ny_cl = 3
clad_top_gap_height = 0.18613
clad_gap_width = 7.5e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[DefaultElementQuality]
aspect_ratio_upper_bound = 253
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[]
[AuxVariables]
[temp_initial]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 7.8e-6 # 2D grain radius
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 150'
y = '1.1e3 1.1e3'
[]
[hmode_function]
type = PiecewiseConstant
x = '0 60 150'
y = '9 10 10'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = MT6A_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '0 150'
y = '1.72 1.72'
scale_factor = 1e6
[]
[temp_func]
type = ParsedFunction
expression = '-24.096*y*y+152.47*y+437.81'
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors' # W/m
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz elastic_strain_yy strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy
strain_zz hoop_stress' #plastic_strain_xx plastic_strain_yy plastic_strain_zz
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
axial_power_profile = axial_peaking_factors
factor = 0.16e15 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
block = clad
execute_on = timestep_end
[]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
block = clad
execute_on = timestep_end
[]
[burst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
# TODO: Have StandardLWRFuelRodOutputs create this when the feature in issue #1054 is
# developed.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.66478
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00413 # m
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0293 .9707 0 0 0 0' #TODO: Looks like it's set for 2.93%!
RPF = RPF
density = 10431 #95 %TD Assume TD = 10980 kg/cm3
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e11
normalize_penalty = true
model = frictionless
# model = coulomb
formulation = penalty
# friction_coefficient = 1.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1.0 # Pa
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 9.15e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = 310 # K
inlet_pressure = 1.72e6 # Pa
# inlet_massflux = massfluxfunc # kg/m^2-sec
rod_diameter = 0.00963 # m
rod_pitch = 1.275e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
heat_transfer_mode = hmode_function
heat_transfer_coefficient = 0.0000001 #W/m^2-K
# heat_transfer_mode = htc_function
htc_correlation_type = 1
flooding_time = 60.0
flooding_rate = 0.059182 # m/s
initial_temperature = 1175 # K
initial_power = 1.628 # kW/m
blockage_ratio = 0.0 #
fuel_stack_length = 3.66 # m
reflooding_model = 1
compute_enthalpy = false
[]
[]
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = temp_initial
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0 #95 %TD Assume TD = 10980 kg/cm3
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
# initial_grain_radius = 6.552e-6 # 2D grain radius 4.2e-6
grain_radius = grain_radius
gbs_model = true
burnup = burnup
# compute_swelling = true
transient_option = MICROCRACKING
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 10431 #95 %TD Assume TD = 10980 kg/cm3
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temp
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_standard_thermal_creep_end = 700.0
temperature_loca_creep_begin = 900.0
max_inelastic_increment = 1e-4
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
temperature = temp
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = temp_initial
eigenstrain_name = clad_thermal_eigenstrain
[]
[phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temp
fraction_beta_phase = fract_beta_phase
outputs = all
output_properties = 'failed burst_stress'
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = 0.0
end_time = 76.48
dtmax = 5
dtmin = 0.00001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 0.01
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[average_fission_rate]
type = ElementAverageValue
block = pellet
variable = fission_rate
execute_on = timestep_end
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = pellet
fission_rate = fission_rate
variable = temp
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.66 # rod height
execute_on = timestep_end
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 40
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-09/puzry-09_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-09.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1200. '
y = '1.e+05 1.e+05 1.524e+06' # Linear increase at 0.0712 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1200. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 2.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-07
relative_tolerance = 1e-07
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-09_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_10MPa/rebeka_singlerod_2d_10MPa_aniso_hunt.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+07 1.e+07' # 100 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuelcladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.57 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.45 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.48 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
use_automatic_differentiation = true
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
oxide_thickness = scale_thickness
use_ad = true
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.956 0.240 0.304 1.0 1.0 1.0"
# function_names = "F G H L M N"
# temperature = temperature
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501
temperature_standard_thermal_creep_end = 500
fract_beta_phase_name = 'fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ADZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ADZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-06
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp]
type = SideAverageValue
boundary = 2
variable = temperature
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[top_disp_r_clad] # this is mid height
type = NodalVariableValue
variable = disp_x
nodeid = 0 #coords (0.005375, 0.1625)
[]
[top_disp_r_clad_slice] # this is mid height matched to the 1.5d
type = NodalVariableValue
variable = disp_x
nodeid = 3 #coords (0.005375, 0.1625)
[]
[top_disp_z_clad]
type = NodalVariableValue
variable = disp_y
nodeid = 0 #coords (0.005375, 0.1625)
[]
[stress_xx] # stess in the top Element
type = ElementalVariableValue
variable = stress_xx
elementid = 0
[]
[stress_yy] # stess in the top Element
type = ElementalVariableValue
variable = stress_yy
elementid = 0
[]
[stress_zz] # stess in the top Element
type = ElementalVariableValue
variable = stress_zz
elementid = 0
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_10MPa_aniso_hunt_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-29/puzry-29_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-29.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 7.3e+06' # Linear increase at 0.0720 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-07
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-29_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/2pt1MPa/25C_sec/25C_sec_Hardy_Tube_Test_2pt1MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-18/puzry-18.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-18.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1500. '
y = '1.e+05 1.e+05 5.855e+06' # Linear increase at 0.1151 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1500. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 1500.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-18_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-17/puzry-17.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-17.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1500. '
y = '1.e+05 1.e+05 5.91e+06' # Linear increase at 0.1162 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1500. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.0e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.0
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 1500.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-17_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-24/puzry-24.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-24.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 6000. '
y = '1.e+05 1.e+05 9.05e+06' # Linear increase at 0.0179 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 6000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 6000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-24_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-25/puzry-25_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-25.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 6000. '
y = '1.e+05 1.e+05 8.75e+06' # Linear increase at 0.0173 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 6000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 7.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-07
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-25_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT6A/MT6A_1-2kW.i)
################################################################################
#
# Description: LOCA MT-6A Test with constant power level of 1.2 kW/m
#
#
# External files:
# axial peaking factor file MT6A_axial_peaking.csv
#
################################################################################
[GlobalParams]
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
displacements = 'disp_x disp_y'
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
group_variables = 'disp_x disp_y'
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 6.1e-4
pellet_mesh_density = customize
ny_p = 100
nx_c = 4
nx_p = 12
pellet_outer_radius = .00413
ny_cu = 3
ny_c = 100
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.66
ny_cl = 3
clad_top_gap_height = 0.18613
clad_gap_width = 7.5e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[DefaultElementQuality]
aspect_ratio_upper_bound = 253
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[]
[AuxVariables]
[temp_initial]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 7.8e-6 # 2D grain radius
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 150'
y = '1.2e3 1.2e3'
[]
[hmode_function]
type = PiecewiseConstant
x = '0 60 150'
y = '9 10 10'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = MT6A_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '0 150'
y = '1.72 1.72'
scale_factor = 1e6
[]
[temp_func]
type = ParsedFunction
expression = '-24.096*y*y+152.47*y+437.81'
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors' # W/m
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz elastic_strain_yy strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy
strain_zz hoop_stress' #plastic_strain_xx plastic_strain_yy plastic_strain_zz
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
axial_power_profile = axial_peaking_factors
factor = 0.16e15 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
block = clad
execute_on = timestep_end
[]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
block = clad
execute_on = timestep_end
[]
[burst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
# TODO: Have StandardLWRFuelRodOutputs create this when the feature in issue #1054 is
# developed.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.66478
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00413 # m
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0293 .9707 0 0 0 0' #TODO: Looks like it's set for 2.93%!
RPF = RPF
density = 10431 #95 %TD Assume TD = 10980 kg/cm3
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e11
normalize_penalty = true
model = frictionless
# model = coulomb
formulation = penalty
# friction_coefficient = 1.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1.0 # Pa
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 9.15e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = 310 # K
inlet_pressure = 1.72e6 # Pa
# inlet_massflux = massfluxfunc # kg/m^2-sec
rod_diameter = 0.00963 # m
rod_pitch = 1.275e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
heat_transfer_mode = hmode_function
heat_transfer_coefficient = 0.0000001 #W/m^2-K
# heat_transfer_mode = htc_function
htc_correlation_type = 1
flooding_time = 60.0
flooding_rate = 0.059182 # m/s
initial_temperature = 1175 # K
initial_power = 1.776 # kW/m
blockage_ratio = 0.0 #
fuel_stack_length = 3.66 # m
reflooding_model = 1
compute_enthalpy = false
[]
[]
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = temp_initial
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0 #95 %TD Assume TD = 10980 kg/cm3
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
# initial_grain_radius = 6.552e-6 # 2D grain radius 4.2e-6
grain_radius = grain_radius
gbs_model = true
burnup = burnup
# compute_swelling = true
transient_option = MICROCRACKING
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 10431 #95 %TD Assume TD = 10980 kg/cm3
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temp
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_standard_thermal_creep_end = 700.0
temperature_loca_creep_begin = 900.0
max_inelastic_increment = 1e-4
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
temperature = temp
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = temp_initial
eigenstrain_name = clad_thermal_eigenstrain
[]
[phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temp
fraction_beta_phase = fract_beta_phase
outputs = all
output_properties = 'failed burst_stress'
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = 0.0
end_time = 63.02
dtmax = 5
dtmin = 0.00001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 0.01
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[average_fission_rate]
type = ElementAverageValue
block = pellet
variable = fission_rate
execute_on = timestep_end
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = pellet
fission_rate = fission_rate
variable = temp
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.66 # rod height
execute_on = timestep_end
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 40
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-13/puzry-13.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-13.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 5000. '
y = '1.e+05 1.e+05 1.266e+07' # Linear increase at 0.0314 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 5000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 5000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-13_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-19/puzry-19.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-19.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 2.53e+06' # Linear increase at 0.0243 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-19_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_MT4_MT6A/analysis/MT4/MT4_1-1kW.i)
################################################################################
#
# Description: LOCA MT-4 Test with constant power level of 1.1 kW/m
#
#
# External files:
# axial peaking factor file MT4_axial_peaking.csv
#
################################################################################
[GlobalParams]
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11
displacements = 'disp_x disp_y'
volumetric_locking_correction = false
[]
[Problem]
type = ReferenceResidualProblem
group_variables = 'disp_x disp_y'
extra_tag_vectors = 'ref'
reference_vector = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
clad_mesh_density = customize
clad_thickness = 6.1e-4
pellet_mesh_density = customize
ny_p = 100
nx_c = 4
nx_p = 12
pellet_outer_radius = .00413
ny_cu = 3
ny_c = 100
clad_bot_gap_height = 2.54e-3
pellet_quantity = 1
pellet_height = 3.66
ny_cl = 3
clad_top_gap_height = 0.18613
clad_gap_width = 7.5e-5
elem_type = QUAD8
[]
patch_size = 20
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[DefaultElementQuality]
aspect_ratio_upper_bound = 253
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[]
[AuxVariables]
[temp_initial]
[InitialCondition]
type = FunctionIC
function = temp_func
[]
[]
[fast_neutron_flux]
block = clad
[]
[fast_neutron_fluence]
block = clad
[]
[grain_radius]
block = pellet
initial_condition = 7.8e-6 # 2D grain radius
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[coolant_temp]
order = CONSTANT
family = MONOMIAL
[]
[hmode]
order = CONSTANT
family = MONOMIAL
[]
[htype]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 110'
y = '1.1e3 1.1e3'
[]
[hmode_function]
type = PiecewiseConstant
x = '0 57 110'
y = '9 10 10'
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = MT4_axial_peaking.csv
scale_factor = 1
axis = 1
[]
[pressure_ramp] # reads and interpolates input data defining amplitude curve for coolant and fill gas pressure
type = PiecewiseLinear
x = '0 110'
y = '0.28 0.28'
scale_factor = 1e6
[]
[temp_func]
type = ParsedFunction
expression = '-24.096*y*y+152.47*y+437.81'
[]
[q]
type = CompositeFunction
functions = 'power_history axial_peaking_factors' # W/m
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
strain = FINITE
incremental = true
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz elastic_strain_yy strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
strain = FINITE
incremental = true
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz
creep_strain_xx creep_strain_yy creep_strain_xy creep_strain_zz
elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy
strain_zz hoop_stress' #plastic_strain_xx plastic_strain_yy plastic_strain_zz
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = pellet
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
axial_power_profile = axial_peaking_factors
factor = 0.16e15 #n/m2-s
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet
variable = grain_radius
temperature = temp
execute_on = linear
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
block = clad
variable = fast_neutron_fluence
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
block = clad
execute_on = timestep_end
[]
[effective_creep_strain]
type = MaterialRealAux
property = effective_creep_strain
variable = effective_creep_strain
block = clad
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = 10
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
[]
[coolant_temp]
type = MaterialRealAux
property = coolant_temperature
variable = coolant_temp
boundary = 2
[]
[hmode]
type = MaterialRealAux
property = coolant_channel_hmode
variable = hmode
boundary = 2
[]
[htype]
type = MaterialRealAux
property = coolant_channel_htype
variable = htype
boundary = 2
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
block = clad
execute_on = timestep_end
[]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
block = clad
execute_on = timestep_end
[]
[burst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
# TODO: Have StandardLWRFuelRodOutputs create this when the feature in issue #1054 is
# developed.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[Burnup]
[burnup]
block = pellet
rod_ave_lin_pow = power_history
axial_power_profile = axial_peaking_factors
num_radial = 81
num_axial = 11
a_lower = 0.00478
a_upper = 3.66478
fuel_inner_radius = 0.0
fuel_outer_radius = 0.00413 # m
fuel_volume_ratio = 1.0
isotopes = 'U235 U238 Pu239 Pu240 Pu241 Pu242'
isotope_fractions = '0.0293 .9707 0 0 0 0'
RPF = RPF
density = 10431.0 #95 %TD Assume TD = 10980 kg/cm3
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
normalize_penalty = true
model = frictionless
# model = coulomb
formulation = penalty
# friction_coefficient = 1.0
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
jump_distance_model = LANNING
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
roughness_primary = 2e-6
roughness_secondary = 1e-6
roughness_coef = 3.2
normal_smoothing_distance = 0.1
quadrature = true
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = DirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = '1 2 3'
factor = 1.0 # Pa
function = pressure_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 9 # clad interior + fuel exterior
initial_pressure = 9.3e6 # Pa
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[CoolantChannel]
[convective_clad_surface] # apply convective boundary to clad outer surface
boundary = '1 2 3'
variable = temp
inlet_temperature = 311 # K
inlet_pressure = 0.28e6 # Pa
# inlet_massflux = massfluxfunc # kg/m^2-sec
rod_diameter = 0.00963 # m
rod_pitch = 1.275e-2 # m
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
heat_transfer_mode = hmode_function
heat_transfer_coefficient = 0.0000001 #W/m^2-K
# heat_transfer_mode = 10
htc_correlation_type = 1
flooding_time = 57.0
flooding_rate = 0.127 # m/s
initial_temperature = 1140 # K
initial_power = 1.628 # kW/m
blockage_ratio = 0.0 #
fuel_stack_length = 3.66 # m
reflooding_model = 1
compute_enthalpy = false
[]
[]
[Materials]
[fuel_thermal] # temperature and burnup dependent thermal properties of UO2
type = UO2Thermal
block = pellet
thermal_conductivity_model = NFIR
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = temp_initial
eigenstrain_name = fuel_thermal_strain
[]
[fuel_volumetric_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet
temperature = temp
burnup = burnup
initial_fuel_density = 10431.0 #95 %TD Assume TD = 10980 kg/cm3
eigenstrain_name = fuel_volumetric_strain
[]
[fission_gas_release]
type = UO2Sifgrs
block = pellet
temperature = temp
fission_rate = fission_rate # coupling to fission_rate aux variable
# initial_grain_radius = 6.552e-6 # 2D grain radius 4.2e-6
grain_radius = grain_radius
gbs_model = true
burnup = burnup
# compute_swelling = true
transient_option = MICROCRACKING
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = 10431 #95 %TD Assume TD = 10980 kg/cm3
[]
[clad_thermal]
type = HeatConductionMaterial
block = clad
thermal_conductivity = 16.0
specific_heat = 330.0
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
temperature = temp
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = clad
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_standard_thermal_creep_end = 700.0
temperature_loca_creep_begin = 900.0
max_inelastic_increment = 1e-4
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = clad
temperature = temp
thermal_expansion_coeff = 5.0e-6
stress_free_temperature = temp_initial
eigenstrain_name = clad_thermal_eigenstrain
[]
[phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temp
fraction_beta_phase = fract_beta_phase
outputs = all
output_properties = 'failed burst_stress'
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6551.0
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
# controls for linear iterations
l_max_its = 100
l_tol = 8e-3
# controls for nonlinear iterations
nl_max_its = 50
nl_rel_tol = 1e-4
nl_abs_tol = 1e-10
# time control
start_time = 0.0
end_time = 110
dtmax = 5
dtmin = 0.00001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 0.01
[]
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[]
[Postprocessors]
[ave_temp_interior] # average temperature of the cladding interior and all pellet exteriors
type = SideAverageValue
boundary = 9
variable = temp
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = pellet
[]
[fis_gas_grain]
type = ElementIntegralFisGasGrainSifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[fis_gas_boundary]
type = ElementIntegralFisGasBoundarySifgrs
block = pellet
outputs = exodus
execute_on = linear
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = timestep_end
[]
[average_fission_rate]
type = ElementAverageValue
block = pellet
variable = fission_rate
execute_on = timestep_end
[]
[rod_ave_lin_pow]
type = ElementIntegralPower
block = pellet
fission_rate = fission_rate
variable = temp
execute_on = timestep_end
[]
[rod_input_power]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 3.66 # rod height
execute_on = timestep_end
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_creep_rate]
type = ElementExtremeValue
block = clad
value_type = max
variable = creep_rate_aux
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = 3
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 40
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/LWR/validation/LOCA_Hardy_cladding_test/analysis/5pt5MPa/25C_sec/25C_sec_Hardy_Tube_Test_5pt5MPa.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
patch_size = 10
patch_update_strategy = iteration
partitioner = centroid
centroid_partitioner_direction = y
[gen]
type = FuelPinMeshGenerator
include_fuel = false
include_clad = true
pellet_outer_radius = 0.0072527
clad_gap_width = 0.0
clad_top_gap_height = 0.0
clad_bot_gap_height = 0.0
clad_thickness = 0.38e-3
pellet_height = 0.5
pellet_quantity = 1
clad_mesh_density = customize
nx_c = 2
ny_c = 50
elem_type = QUAD8
[]
[]
[Variables]
[temperature]
initial_condition = 600.0
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[pressure_function]
type = PiecewiseLinear
x = '0 40'
y = '1 1'
[]
[temp_function]
type = PiecewiseLinear
y = '600 1600'
[]
[temperature_profile]
type = PiecewiseBilinear
y = '0 40'
x = '0 0.25224 0.50448'
z = '0.995 1.01 0.995 0.995 1.01 0.995'
axis = 1
[]
[inner_temperature]
type = CompositeFunction
functions = 'temp_function temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = clad
add_variables = true
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz
creep_strain_xx creep_strain_yy creep_strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_i = 2
index_j = 2
execute_on = timestep_end
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[BCs]
[Pressure]
[outer_surface]
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
factor = 0.0
function = pressure_function
[]
[inner_surface]
boundary = 'clad_inside_right clad_inside_bottom clad_inside_top'
function = pressure_function
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 1001
value = 0.0
[]
[x_fix]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[temp_bc]
type = FunctionDirichletBC
function = inner_temperature
variable = temperature
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[Materials]
[clad_thermal]
type = ZryThermal
block = clad
zry_thermal_properties_model = MATPRO
temperature = temperature
[]
[clad_elasticity_tensor]
type = ZryElasticityTensor
block = clad
matpro_youngs_modulus = true
matpro_poissons_ratio = true
temperature = temperature
[]
[clad_stress]
type = ComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
tangent_operator = nonlinear
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = true
model_thermal_creep = true
temperature_loca_creep_begin = 840 # values from the report
temperature_standard_thermal_creep_end = 975
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 600.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_overstrain
hoop_stress = hoop_stress
hoop_creep_strain = creep_strain_zz
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-5
nl_abs_tol = 1.0e-8
start_time = 0
n_startup_steps = 1
end_time = 40
dtmax = 1
dtmin = 0.0000001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 1.0
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = all_clad_interior
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = total_hoop_strain
[]
[max_disp_x]
type = NodalExtremeValue
block = clad
value_type = max
variable = disp_x
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[csv]
type = CSV
[]
[chkfile]
type = CSV
show = 'max_disp_x max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = false
[]
[]
(assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL5_8/OCL5_8_aniso.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.270
pellet_outer_radius = 4.78e-3
clad_bot_gap_height = 0.001
clad_top_gap_height = 0.013
clad_thickness = 0.71e-3
clad_gap_width = 0.1e-3
pellet_mesh_density = coarse
clad_mesh_density = coarse
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
initial_condition = 300.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0 496.02 520.74 528.12 545.94 551.28 671.52 885.3 1195.74 1410.36 1657.86 1680 1690 1700 1710 1720 1730 1740 1750 1760 1770 1780 1790 1800 1810 1820 1830 1840 1848'
y = '300 300 405.465 482.048 583.351 632.287 634.297 632.825 630.378 631.059 632.59 633 683 733 783 833 883 933 983 1033 1083 1133 1183 1233 1283 1333 1383 1433 1477'
[]
[temperature_profile]
type = PiecewiseBilinear
data_file = 'temp_profile.csv'
axis = 1
[]
[cladding_temperature]
type = CompositeFunction
functions = 'temperature_func temperature_profile'
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuelcladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.57 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.45 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.48 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
use_automatic_differentiation = true
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'fuel_thermal_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
use_automatic_differentiation = true
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
primary = 5
secondary = 10
variable = temperature
gap_conductivity = 0.15 # k of He per Netzsch
[]
[]
[BCs]
[clad_surface_temperature]
type = ADFunctionDirichletBC
variable = temperature
boundary = '2'
function = cladding_temperature
[]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = ADDirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = ADDirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[outer_pressure]
boundary = '1 2 3'
factor = 101325
[]
[inner_pressure]
boundary = '4 5 6'
factor = 8.28e6
[]
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Materials]
[fuel_thermal]
type = ADHeatConductionMaterial
block = pellet
thermal_conductivity = 3.5
specific_heat = 330.0
[]
[fuel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ADComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ADComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_density]
type = ADStrainAdjustedDensity
block = pellet
strain_free_density = 10980.0 #perfectly dense UO2
[]
[clad_thermal]
type = ADZryThermal
block = clad
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = clad
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
[]
[hill_constants]
type = ADHillConstants
#hill_constants = "0.5 0.5 0.5 1.0 1.0 1.0"
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = ADStrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[phase_converter]
type = MaterialADConverter
block = clad
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-04
nl_abs_tol = 1.0e-08
start_time = 0
n_startup_steps = 1
end_time = 1800.0
dtmax = 100
dtmin = 0.0001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10.0
time_dt = '100 10'
time_t = '10 400'
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
show = 'max_clad_temp max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-23/puzry-23_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-23.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2500. '
y = '1.e+05 1.e+05 1.0855e+07' # Linear increase at 0.0717 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2500. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-07
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-23_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_2/IFA_650_2.i)
initial_fuel_density = 10412
[GlobalParams]
density = ${initial_fuel_density} # 0.95TD UO2, TD=10960
temperature = temp
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
[]
[Mesh]
coord_type = RZ
patch_size = 10 # For contact algorithm
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[mesh]
type = FileMeshGenerator
file = mesh_ife6502_medium2.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temp]
initial_condition = 300.
[]
[]
[AuxVariables]
[fast_neutron_flux]
[]
[fast_neutron_fluence]
[]
[grain_radius]
initial_condition = 5.e-06 # !! assumption
[]
[max_fission_rate]
[]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness] # ZrO2 scale thickness (m)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total] # Current oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total] # Gained oxigen weight fraction (oxide+metal) (/)
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[bbl_bdr_2]
order = CONSTANT
family = MONOMIAL
[]
[rad_bbl_bdr]
order = CONSTANT
family = MONOMIAL
[]
[sat_coverage]
order = CONSTANT
family = MONOMIAL
[]
[GBCoverage]
order = CONSTANT
family = MONOMIAL
[]
[deltav_v0_bd]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[average_linear_heat_rate]
type = PiecewiseLinear
data_file = linear_heat_rate_av.csv
format = columns
scale_factor = 1
[]
[axial_power_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors_lhr.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[average_clad_outer_temperature]
type = PiecewiseLinear
data_file = temperature_clad_outer_av.csv
format = columns
scale_factor = 1
[]
[axial_temperature_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors_ctemp.csv
scale_factor = 1
axis = 1 # (0,1,2) => (x,y,z)
[]
[clad_outer_temperature]
type = CompositeFunction
functions = 'average_clad_outer_temperature axial_temperature_peaking_factors'
[]
[coolant_pressure]
type = PiecewiseLinear
data_file = pressure_rig.csv
format = columns
scale_factor = 1
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[uo2nat]
block = 'pellet_type_1 pellet_type_3'
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'uo2nat_thermal_strain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
decomposition_method = EigenSolution
[]
[fuel]
block = pellet_type_2
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'fuel_thermal_strain fuel_relocation_eigenstrain
fuel_volumetric_swelling_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
[]
[clad]
block = clad
strain = FINITE
incremental = true
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_strain clad_irradiation_growth'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz hoop_stress
hoop_strain'
decomposition_method = EigenSolution
[]
[]
[Kernels]
[gravity] # body force term in stress equilibrium equation
type = Gravity
variable = disp_y
value = -9.81
[]
[heat]
type = HeatConduction
variable = temp
#extra_vector_tags = 'ref'
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
#extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temp
#extra_vector_tags = 'ref'
block = pellet_type_2
fission_rate = fission_rate
decay_heat_function = decay_heat_function # Couple to postprocessor which defines the decay heat function
max_fission_rate = max_fission_rate # Couple to auxvariable which defines maximum fission rate over irradiation
[]
[]
[Burnup]
[burnup]
block = pellet_type_2
rod_ave_lin_pow = average_linear_heat_rate
axial_power_profile = axial_power_peaking_factors
num_radial = 80
num_axial = 11
a_lower = 28.5e-03 # mesh dependent
a_upper = 528.5e-03 # mesh dependent
fuel_inner_radius = 0.
fuel_outer_radius = 4.145e-03
fuel_volume_ratio = 1. # for use with dished pellets (ratio of actual volume to cylinder volume)
RPF = RPF
[]
[]
[AuxKernels]
[fast_neutron_flux]
type = FastNeutronFluxAux
variable = fast_neutron_flux
block = clad
rod_ave_lin_pow = average_linear_heat_rate
axial_power_profile = axial_power_peaking_factors
factor = 3.e+13
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = FastNeutronFluenceAux
variable = fast_neutron_fluence
block = clad
fast_neutron_flux = fast_neutron_flux
execute_on = timestep_begin
[]
[grain_radius]
type = GrainRadiusAux
block = pellet_type_2
variable = grain_radius
temperature = temp
execute_on = linear
[]
[max_fission_rate]
type = MaxFissionRateAux
variable = max_fission_rate
block = pellet_type_2
fission_rate = fission_rate
execute_on = timestep_begin
[]
[creep_rate]
type = MaterialRealAux
block = clad
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
block = clad
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
block = clad
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
boundary = 2
variable = scale_thickness
property = oxide_scale_thickness
[]
[ofract_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
boundary = 2
variable = burst_stress
property = burst_stress
[]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_cond
[]
[nbbl2]
type = MaterialRealAux
block = pellet_type_2
variable = bbl_bdr_2
property = bubble_GB_surface_density
[]
[radbbl]
type = MaterialRealAux
block = pellet_type_2
variable = rad_bbl_bdr
property = bubble_radius_GB
[]
[stcvrg]
type = MaterialRealAux
block = pellet_type_2
variable = sat_coverage
property = sat_coverage
[]
[frcvrg]
type = MaterialRealAux
block = pellet_type_2
variable = GBCoverage
property = GBCoverage
[]
[dvv0bd]
type = MaterialRealAux
block = pellet_type_2
variable = deltav_v0_bd
property = deltav_v0_bubble_GB
[]
[]
[Contact]
# Define mechanical contact between the fuel (sideset=10) and the clad (sideset=5)
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1.e+07
[]
[]
#TODO: Add option in StandardLWRFuelRodOutputs to compute plenum temperature this way.
# We are using 'plenum_temp' rather than 'plenum_temperature', which is generated
# automatically by StandardLWRFuelRodOutputs, but computed in a different way.
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temp
[]
[]
[ThermalContact]
# Define thermal contact between the fuel (sideset=10) and the clad (sideset=5)
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fission_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
quadrature = true
normal_smoothing_distance = 0.1
[]
[]
[BCs]
[no_x_all] # pin pellets and clad along axis of symmetry (y)
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.
[]
[no_y_clad_bottom] # pin clad bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = 1
value = 0.
[]
[no_y_fuel_bottom] # pin fuel bottom in the axial direction (y)
type = DirichletBC
variable = disp_y
boundary = '1020'
value = 0.
[]
[clad_outer_temperature]
type = FunctionDirichletBC
boundary = '1 2 3'
variable = temp
function = clad_outer_temperature
[]
[Pressure] # apply coolant pressure on clad outer walls
[coolantPressure]
boundary = '1 2 3'
function = coolant_pressure # use the pressure_ramp function defined above
[]
[]
[PlenumPressure] # apply plenum pressure on clad inner walls and pellet surfaces
[plenumPressure]
boundary = 9
initial_pressure = 4.e+06
startup_time = -200
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = plenum_volume
material_input = fission_gas_released
output = plenum_pressure
[]
[]
[]
[Materials]
[fuel_density]
type = StrainAdjustedDensity
block = pellet_type_2
strain_free_density = ${initial_fuel_density}
[]
[fuel_thermal]
type = UO2Thermal
block = pellet_type_2
thermal_conductivity_model = FINK_LUCUTA
temperature = temp
burnup_function = burnup
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = pellet_type_2
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_elasticity_tensor]
type = UO2ElasticityTensor
block = pellet_type_2
[]
[fuel_stress]
type = ComputeFiniteStrainElasticStress
block = pellet_type_2
[]
[fuel_swelling]
type = UO2VolumetricSwellingEigenstrain
gas_swelling_model_type = SIFGRS
block = pellet_type_2
temperature = temp
burnup_function = burnup
initial_porosity = 0.0468
initial_fuel_density = 10447.
eigenstrain_name = fuel_volumetric_swelling_eigenstrain
[]
[fuel_relocation]
type = UO2RelocationEigenstrain
block = pellet_type_2
burnup_function = burnup
diameter = 0.00829
rod_ave_lin_pow = average_linear_heat_rate
axial_power_profile = axial_power_peaking_factors
diametral_gap =70.e-06
burnup_relocation_stop = 1.e+20
eigenstrain_name = fuel_relocation_eigenstrain
relocation_activation1 = 19685.039
[]
[fission_gas]
type = UO2Sifgrs
block = pellet_type_2
temperature = temp
fission_rate = fission_rate
grain_radius = grain_radius
gbs_model = true
transient_option = MICROCRACKING_BURNUP
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 6550.
[]
[clad_thermal]
block = clad
type = ZryThermal
temperature = temp
[]
[clad_thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temp
stress_free_temperature = 300.0 #TODO: It is odd to have different values for fuel and clad, but keeping this way to match SM
eigenstrain_name = clad_thermal_strain
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = clad
youngs_modulus = 1.e+11
poissons_ratio = 0.3
[]
[zry_thermal_creep]
type = ZryCreepLOCAUpdate
block = clad
temperature = temp
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 3.e-03
#TODO: The parameters below really should be provided, but they weren't specified in the SM model.
# They may have not been included because irradiation creep wasn't modeled. However, they are used in the thermal
# creep model as well.
# fast_neutron_flux = fast_neutron_flux
# fast_neutron_fluence = fast_neutron_fluence
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'zry_thermal_creep'
block = clad
[]
[clad_irradiation_growth]
type = ZryIrradiationGrowthEigenstrain
block = clad
fast_neutron_fluence = fast_neutron_fluence
zircaloy_material_type = ESCORE_IrradiationGrowthZr4
eigenstrain_name = clad_irradiation_growth
[]
[clad_phase]
type = ZrPhase
block = clad
temperature = temp
numerical_method = 2
[]
[clad_oxidation]
type = ZryOxidation
boundary = 2
temperature = temp
clad_inner_radius = 4.18e-03
clad_outer_radius = 4.75e-03
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
#eff_strain_rate_plast =
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfract_total
temperature = temp
[]
[uo2nat_thermal]
type = HeatConductionMaterial
block = 'pellet_type_1 pellet_type_3'
thermal_conductivity = 3. # !! assumption
specific_heat = 300. # !! assumption
[]
[uo2nat_density]
type = StrainAdjustedDensity
block = 'pellet_type_1 pellet_type_3'
strain_free_density = ${initial_fuel_density}
[]
[uo2nat_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = 'pellet_type_1 pellet_type_3'
thermal_expansion_coeff = 10.0e-6
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = uo2nat_thermal_strain
[]
[uo2nat_elasticity_tensor]
type = UO2ElasticityTensor
block = 'pellet_type_1 pellet_type_3'
[]
[uo2nat_stress]
type = ComputeFiniteStrainElasticStress
block = 'pellet_type_1 pellet_type_3'
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 100.
variable = temp
[]
[limitX]
type = MaxIncrement
max_increment = 1.e-05
variable = disp_x
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1.e-02
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-10
start_time = -200
n_startup_steps = 1
end_time = 229440
dtmax = 2700. #1000.
dtmin = 0.00000001
[TimeStepper]
type = IterationAdaptiveDT
dt = 200.
#optimal_iterations = 4
#iteration_window = 2
#linear_iteration_ratio = 100
timestep_limiting_function = average_clad_outer_temperature
max_function_change = 10
timestep_limiting_postprocessor = material_timestep
time_t = '-200. 0. 3.5e+04 216000. 218700. 219180. 219240. 219799. 219819. 219821. 219999.'
time_dt = ' 200. 900. 2700. 2700. 60. 60. 20. 20.
10. 10. 2.'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '5'
include_fuel = true
[]
[]
[Postprocessors]
[decay_heat_function]
type = DecayHeatFunction
time_at_shutdown = 100000001.
[]
[clad_inner_vol] # volume inside of cladding
type = InternalVolume
boundary = 7
execute_on = 'initial linear'
[]
[avg_clad_temp] # average temperature of cladding interior
type = SideAverageValue
boundary = 7
variable = temp
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = clad
execute_on = 'initial timestep_end'
[]
[max_fuel_temp]
type = NodalExtremeValue
value_type = max
variable = temp
block = pellet_type_2
execute_on = 'initial timestep_end'
[]
[central_fuel_temp]
type = NodalVariableValue
variable = temp
nodeid = 54 # Global node ID = 55 !! Mesh dependent
execute_on = 'initial timestep_end'
[]
[flux_from_clad] # area integrated heat flux from the cladding
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 5
diffusivity = thermal_conductivity
execute_on = 'initial linear'
[]
[flux_from_fuel] # area integrated heat flux from the fuel
type = SideDiffusiveFluxIntegral
variable = temp
boundary = 10
diffusivity = thermal_conductivity
execute_on = 'initial linear'
[]
[alhr_input]
type = FunctionValuePostprocessor
function = average_linear_heat_rate
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_oxygen_fgain]
type = ElementExtremeValue
block = clad
value_type = max
variable = oxywtfgain_total
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
block = clad
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
block = clad
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
block = clad
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = hoop_strain
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
fuel_pellet_blocks = pellet_type_2
temperature = temp
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
print_linear_residuals = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[out_vector_pp]
execute_vector_postprocessors_on = 'timestep_end'
type = CSV
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-03/puzry-03_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-03.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 2000. '
y = '1.e+05 1.e+05 7.3e+05' # Linear increase at 0.063 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 2000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-07
relative_tolerance = 1e-07
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-03_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-22/puzry-22.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-22.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 6000. '
y = '1.e+05 1.e+05 7.5e+06' # Linear increase at 0.0148 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 6000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 6000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-22_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_2/ornl_zr2_2_ad.i)
# Simulation ORNL burst tests Zr2_2
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr2_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr2_2.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr2_2.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
use_automatic_differentiation = true
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 2 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.5 0.5 0.5 1.0 1.0 1.0"
#hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
#function_names = "F G H L M N"
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[phase_converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004875
clad_outer_radius = 0.005580
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 2.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 2.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr2_2_ad_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_ANL_cladding_burst_tests/analysis/OCL5_8/OCL5_8_ad.i)
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Mesh]
coord_type = RZ
[smeared_pellet_mesh]
type = FuelPinMeshGenerator
pellet_quantity = 1
pellet_height = 0.270
pellet_outer_radius = 4.78e-3
clad_bot_gap_height = 0.001
clad_top_gap_height = 0.013
clad_thickness = 0.71e-3
clad_gap_width = 0.1e-3
pellet_mesh_density = coarse
clad_mesh_density = coarse
elem_type = QUAD8
[]
patch_size = 10
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Variables]
[temperature]
initial_condition = 300.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0 496.02 520.74 528.12 545.94 551.28 671.52 885.3 1195.74 1410.36 1657.86 1680 1690 1700 1710 1720 1730 1740 1750 1760 1770 1780 1790 1800 1810 1820 1830 1840 1848'
y = '300 300 405.465 482.048 583.351 632.287 634.297 632.825 630.378 631.059 632.59 633 683 733 783 833 883 933 983 1033 1083 1133 1183 1233 1283 1333 1383 1433 1477'
[]
[temperature_profile]
type = PiecewiseBilinear
data_file = 'temp_profile.csv'
axis = 1
[]
[cladding_temperature]
type = CompositeFunction
functions = 'temperature_func temperature_profile'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[pellets]
block = pellet
use_automatic_differentiation = true
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'fuel_thermal_strain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress hydrostatic_stress stress_xx stress_yy
stress_zz strain_xx strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[clad]
block = clad
use_automatic_differentiation = true
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
extra_vector_tags = 'ref'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[burst]
order = CONSTANT
family = MONOMIAL
block = clad
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
block = clad
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = clad_outside_right
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = clad_outside_right
execute_on = timestep_end
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
primary = 5
secondary = 10
variable = temperature
gap_conductivity = 0.15 # k of He per Netzsch
[]
[]
[BCs]
[clad_surface_temperature]
type = ADFunctionDirichletBC
variable = temperature
boundary = '2'
function = cladding_temperature
[]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[no_y_clad_bottom]
type = ADDirichletBC
variable = disp_y
boundary = '1'
value = 0.0
[]
[no_y_fuel_bottom]
type = ADDirichletBC
variable = disp_y
boundary = '1020'
value = 0.0
[]
[Pressure]
[outer_pressure]
boundary = '1 2 3'
factor = 101325
[]
[inner_pressure]
boundary = '4 5 6'
factor = 8.28e6
[]
[]
[]
[PlenumTemperature]
[plenum_temp]
boundary = 5
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Materials]
[fuel_thermal]
type = ADHeatConductionMaterial
block = pellet
thermal_conductivity = 3.5
specific_heat = 330.0
[]
[fuel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = pellet
youngs_modulus = 2.0e11
poissons_ratio = 0.345
[]
[fuel_elastic_stress]
type = ADComputeFiniteStrainElasticStress
block = pellet
[]
[fuel_thermal_expansion]
type = ADComputeThermalExpansionEigenstrain
block = pellet
thermal_expansion_coeff = 10.0e-6
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = fuel_thermal_strain
[]
[fuel_density]
type = ADStrainAdjustedDensity
block = pellet
strain_free_density = 10980.0 #perfectly dense UO2
[]
[clad_thermal]
type = ADZryThermal
block = clad
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = clad
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = clad
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.5 0.5 0.5 1.0 1.0 1.0"
#hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
#function_names = "F G H L M N"
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = clad
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = clad
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[clad_density]
type = ADStrainAdjustedDensity
block = clad
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = clad
temperature = temperature
numerical_method = 2
[]
[phase_converter]
type = MaterialADConverter
block = clad
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = clad_outside_right
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
verbose = true
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.0e-04
nl_abs_tol = 1.0e-08
start_time = 0
n_startup_steps = 1
end_time = 1800.0
dtmax = 100
dtmin = 0.0001
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = material_timestep
dt = 10.0
time_dt = '100 10'
time_t = '10 400'
[]
[]
[Postprocessors]
[ave_clad_temp]
type = SideAverageValue
boundary = clad_outside_right
variable = temperature
[]
[gas_volume]
type = InternalVolume
boundary = 9
execute_on = 'initial linear'
[]
[max_clad_temp]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = clad
[]
[max_hoop_stress]
type = ElementExtremeValue
block = clad
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = clad
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = clad
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = clad
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
csv = true
color = false
perf_graph = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
show = 'max_clad_temp max_hoop_stress vonmises_stress_clad'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator1]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-12/puzry-12.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-12.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1200. '
y = '1.e+05 1.e+05 1.546e+06' # Linear increase at 0.0723 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1200. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 1200.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-12_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-21/puzry-21_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-21.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 4000. '
y = '1.e+05 1.e+05 5.14e+06' # Linear increase at 0.0168 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 4000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-07
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-21_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-17/puzry-17_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-17.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 1500. '
y = '1.e+05 1.e+05 5.91e+06' # Linear increase at 0.1162 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 1500. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-07
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-17_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-13/puzry-13_aniso.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-13.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 5000. '
y = '1.e+05 1.e+05 1.266e+07' # Linear increase at 0.0314 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 5000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
# Circumferential steady-state creep test and analysis of Zircaloy-4 fuel cladding
# Nuclear Engineering and Design, 53, 2312-2322 (2021)
[F]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.738 0.738 0.57'
[]
[G]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.174 0.174 0.45'
[]
[H]
type = PiecewiseLinear
x = '293 1073 1400'
y = '0.588 0.588 0.48'
[]
[L]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[M]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[N]
type = PiecewiseLinear
x = '-1000 10000'
y = '1.0 1.0'
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = TaylorExpansion
use_automatic_differentiation = true
[]
[]
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = ADMaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = ADMaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = ADMaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = ADMaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = ADDirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ADZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
function_names = "F G H L M N"
temperature = temperature
[]
[creep_update]
type = ADZryAnisoCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 5e-05
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
fract_beta_phase_name = 'fract_beta_phase'
max_integration_error = 1000000.0
absolute_tolerance = 1e-13
relative_tolerance = 1e-11
[]
[creep]
type = ADComputeMultipleInelasticStress
block = 1
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ADZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = ADStrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ADZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ADZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-07
start_time = 0.
n_startup_steps = 1
end_time = 2500.
dtmax = 1.
dtmin = 1.0e-9
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-13_aniso_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_IFA_650/analysis/IFA_650_4/IFA_650_4_part1_action.i)
[GlobalParams]
density = 10452.96
initial_porosity = 0.048
initial_grain_radius = 5.0e-6
order = SECOND
family = LAGRANGE
displacements = disp_x
temperature = temperature
energy_per_fission = 3.2e-11 #J/fission
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
acceptable_multiplier = 10
[]
[Mesh]
coord_type = RZ
[layered1D_mesh]
type = Layered1DMeshGenerator
slices_per_block = 30
pellet_outer_radius = 4.565e-3
clad_gap_width = 0.085e-3
clad_thickness = 0.725e-3
fuel_height = 0.480
plenum_height = 0.291185
pellet_mesh_density = customize
clad_mesh_density = customize
nx_p = 11
nx_c = 5
[]
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
[]
[Functions]
[power_history]
type = PiecewiseLinear
data_file = power_history.csv
scale_factor = 1.0
format = columns
[]
[axial_peaking_factors]
type = PiecewiseBilinear
data_file = axial_peaking_factors.csv
axis = 1
scale_factor = 1
[]
[pressure_ramp]
type = PiecewiseLinear
data_file = coolant_pressure.csv
scale_factor = 1
format = columns
[]
[average_htc]
type = PiecewiseLinear
data_file = average_coolant_htc.csv
format = columns
scale_factor = 1
[]
[forced_times]
type = PiecewiseLinear
data_file = timestep_limiting.csv
scale_factor = 1
format = columns
[]
[heat_sink_temperature]
type = PiecewiseBilinear
data_file = heater_temp.csv
scale_factor = 1
axis = 1
[]
[clad_outer_temperature]
type = PiecewiseBilinear
data_file = clad_surface_temp.csv
scale_factor = 1
axis = 1
[]
[heat_transfer_mode]
type = PiecewiseConstant
x = '-200 172489073 172489661'
y = '9 9 8 '
direction = 'right'
[]
[clad_axial_pressure]
type = CladdingAxialPressureFunction
plenum_pressure = plenum_pressure
coolant_pressure = pressure_ramp
coolant_pressure_scaling_factor = 1.0
fuel_pin_geometry = fuel_pin_geometry
[]
[fuel_axial_pressure]
type = ParsedFunction
expression = plenum_pressure
symbol_names = plenum_pressure
symbol_values = plenum_pressure
[]
[]
[AuxVariables]
[disp_y]
[]
[disp_z]
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[gap_thermal_conductivity]
order = CONSTANT
family = MONOMIAL
[]
[layered_maximum_clad_radius]
order = CONSTANT
family = MONOMIAL
[]
[effective_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[hasburst]
type = MaterialRealAux
boundary = 2
variable = burst
property = failed
execute_on = timestep_end
[]
[conductance]
type = MaterialRealAux
boundary = 10
property = gap_conductance
variable = gap_conductance
execute_on = 'initial linear'
[]
[coolant_htc]
type = MaterialRealAux
property = coolant_channel_htc
variable = coolant_htc
boundary = 2
execute_on = 'initial linear'
[]
[gas_th_cond]
type = MaterialRealAux
variable = gap_thermal_conductivity
property = gap_conductivity
boundary = 10
execute_on = 'initial linear'
[]
[effective_creep_strain]
type = MaterialRealAux
block = clad
variable = effective_creep_strain
property = effective_creep_strain
execute_on = 'timestep_end'
[]
[]
[AxialRelocation]
[relocation]
mesh_generator = layered1D_mesh
rod_ave_lin_pow = power_history
axial_direction = y
fuel_blocks = fuel
clad_blocks = clad
contact_pressure_variable = contact_pressure
out_of_plane_strain_variable = strain_yy
penetration_variable = penetration
clad_inner_volume_addition = 0
burnup_function = burnup
axial_relocation_output_options = MASS_FRACTION
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
heat_transfer_mode = heat_transfer_mode
heat_transfer_coefficient = average_htc
inlet_temperature = heat_sink_temperature
effective_emissivity = 0.75
rod_diameter = 0.01075
rod_pitch = 1.26e-2
compute_enthalpy = false
linear_heat_rate = power_history
axial_power_profile = axial_peaking_factors
output_properties = 'coolant_channel_htype coolant_channel_hmode'
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = 5
secondary = 10
penalty = 1e7
formulation = kinematic
model = frictionless
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = 5
secondary = 10
initial_moles = initial_moles
gas_released = fis_gas_released
plenum_pressure = plenum_pressure
contact_pressure = contact_pressure
jump_distance_model = LANNING
roughness_coef = 3.2
refab_gas_types = 'He Ar'
refab_fractions = '0.05 0.95'
refab_time = 172387800
refab_type = 0
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = 12
value = 0.0
[]
[Pressure]
[coolantPressure]
boundary = 2
function = pressure_ramp
factor = 1.0
[]
[]
[clad_outer_temp]
type = FunctionDirichletBC
boundary = 2
variable = temperature
function = clad_outer_temperature
[]
[PlenumPressure]
[plenumPressure]
boundary = 9
initial_pressure = 2.0e6
startup_time = 0
R = 8.3143
output_initial_moles = initial_moles
temperature = plenum_temp
volume = 'clad_volume pellet_volume'
material_input = fis_gas_released
output = plenum_pressure
refab_time = 172387800
refab_pressure = 4.0e6
refab_temperature = 295.0
refab_volume = 2.15e-05
[]
[]
[]
[LayeredPlenumTemperature]
[plenum_temp]
boundary = 5
out_of_plane_strain = strain_yy
fuel_pin_geometry = fuel_pin_geometry
inner_surfaces = '5'
outer_surfaces = '10'
temperature = temperature
[]
[]
[Controls]
[period0]
type = TimePeriod
disable_objects = 'BCs/clad_outer_temp'
start_time = -200.0
end_time = 172387800.0
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
execute_on = timestep_end
[]
[]
[NuclearMaterials]
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hoop_stress'
fission_operation = 'LOCA'
physics = 'Mechanics Thermal'
initial_temperature = 295
stress_free_temperature = 295
extra_vector_tags = 'ref'
strain = FINITE
[UO2]
[fuel]
block = fuel
fuel_pin_geometry = fuel_pin_geometry
uo2_models = 'Burnup Elastic Creep Relocation Swelling ThermalExpansion HighBurnupStructureFormation'
isotopes = 'U235 U238'
isotope_fractions = '0.035 0.965'
burnup_relocation_stop = 0.024
axial_power_profile = axial_peaking_factors
rod_ave_lin_pow = power_history
fragmentation_model = 'BARANI'
[]
[]
[ZirconiumAlloy]
[clad]
block = clad
fuel_pin_geometry = fuel_pin_geometry
cladding_models = 'Elastic Creep IrradiationGrowth ZrPhase ZryOxidation ZryCladdingFailure'
failure_criterion = overstress
additional_generate_output = 'strain_zz hoop_creep_strain'
fast_neutron_flux_factor = 3e13
[]
[]
[]
[Postprocessors]
[ave_temp_interior]
type = LayeredSideAverageValuePostprocessor
boundary = 9
variable = temperature
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[pellet_volume_2]
type = LayeredInternalVolumePostprocessor
boundary = 8
component = 0
fuel_pin_geometry = fuel_pin_geometry
out_of_plane_strain = strain_yy
execute_on = 'initial linear'
[]
[avg_clad_temp]
type = LayeredSideAverageValuePostprocessor
boundary = 7
variable = temperature
fuel_pin_geometry = fuel_pin_geometry
execute_on = 'initial linear'
[]
[fis_gas_produced]
type = LayeredElementIntegralFisGasGeneratedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_released]
type = LayeredElementIntegralFisGasReleasedSifgrsPostprocessor
block = fuel
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_grain]
type = LayeredElementIntegralFisGasGrainSifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fis_gas_boundary]
type = LayeredElementIntegralFisGasBoundarySifgrsPostprocessor
block = fuel
outputs = exodus
fuel_pin_geometry = fuel_pin_geometry
[]
[fission_gas_release]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[average_coolant_htc]
type = LayeredSideAverageValuePostprocessor
boundary = 2
variable = coolant_htc
execute_on = 'initial linear'
fuel_pin_geometry = fuel_pin_geometry
[]
[average_burnup]
type = RodAverageBurnup
burnup_function = burnup
[]
[temp_clad_max]
type = NodalExtremeValue
block = clad
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[betaph_fract_max]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
block = clad
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
block = clad
execute_on = 'initial timestep_end'
[]
[timestep_material]
type = MaterialTimeStepPostprocessor
block = clad
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = clad
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geometry
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[Dampers]
[limitT]
type = BoundingValueNodalDamper
variable = temperature
max_value = 3200.0
min_value = 0.0
[]
[limitX]
type = MaxIncrement
max_increment = 1e-5
variable = disp_x
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 51'
line_search = 'none'
l_max_its = 50
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 1e-8
dtmax = 5e5
dtmin = 1e-5
start_time = -200.0
end_time = 172387800 # End base irradiation
# end_time = 172489043 # Begin Blowdown
# end_time = 172489661 # End
[TimeStepper]
type = IterationAdaptiveDT
dt = 200
timestep_limiting_postprocessor = timestep_material
optimal_iterations = 20
iteration_window = 4
linear_iteration_ratio = 100
timestep_limiting_function = forced_times
force_step_every_function_point = true
max_function_change = 2000
time_t = '172387800 172388043 172488043 172489043 172489073 172489661'
time_dt = '1.0e04 1.0e04 10.0 5.0 0.5 5.0'
[]
[]
[VectorPostprocessors]
[clad_radial_disp]
type = NodalValueSampler
variable = disp_x
boundary = 2
sort_by = y
outputs = 'outfile_1'
[]
[clad_out_temp]
type = NodalValueSampler
variable = temperature
boundary = 2
sort_by = y
outputs = 'outfile_temp_1'
[]
[mass_fraction]
type = LineValueSampler
start_point = '0 0.01124 0'
end_point = '0 0.47524 0'
num_points = 30
sort_by = y
variable = layered_mass_fraction
outputs = 'outfile_mass_1'
[]
[]
[PerformanceMetricOutputs]
[]
[Outputs]
csv = true
color = false
perf_graph = true
[exodus]
type = Exodus
file_base = IFA_650_4_part1_out
execute_on = 'initial timestep_end'
[]
[checkpoint]
type = Checkpoint
time_step_interval = 1
num_files = 1
[]
[outfile_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_temp_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[outfile_mass_1]
type = CSV
execute_on = 'FINAL'
create_final_symlink = true
[]
[]
(assessment/LWR/validation/LOCA_PUZRY_cladding_burst_tests/analysis/puzry-27/puzry-27.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
displacements = 'disp_x disp_y'
order = SECOND
family = LAGRANGE
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = puzry_mesh.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func]
type = PiecewiseBilinear
data_file = temperature_puzry-27.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 1000. 3000. '
y = '1.e+05 1.e+05 5.06e+06' # Linear increase at 0.0248 bar/s
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 3000. '
y = '1.e+05 1.e+05' # Argon at 1 bar
[]
[]
[AuxVariables]
[creep_rate]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase] # Fraction of beta phase in Zry
order = CONSTANT
family = MONOMIAL
[]
[burst_stress] # Hoop stress at cladding burst
order = CONSTANT
family = MONOMIAL
[]
[burst] # Did cladding burst occur?
order = CONSTANT
family = MONOMIAL
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[clad]
strain = FINITE
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
additional_generate_output = 'stress_xx stress_yy stress_zz
vonmises_stress strain_zz hoop_stress'
decomposition_method = EigenSolution
[]
[]
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate]
type = MaterialRealAux
variable = creep_rate
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = '2 5'
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = '2 5'
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = FunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 5'
[]
[no_x_plug]
type = DirichletBC
variable = disp_x
boundary = 6
value = 0.
[]
[no_y_mid_plane]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply Ar pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 126 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
block = 1
type = ZryThermal
temperature = temperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.e+11
poissons_ratio = 0.3
block = 1
[]
[creep_update]
type = ZryCreepLOCAUpdate
block = 1
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
max_inelastic_increment = 1.e-04
temperature = temperature
temperature_standard_thermal_creep_end = 700
temperature_loca_creep_begin = 900.
[]
[creep]
type = ComputeMultipleInelasticStress
block = 1
tangent_operator = elastic
inelastic_models = 'creep_update'
[]
[clad_thermal_eigenstrain]
type = ZryThermalExpansionMATPROEigenstrain
block = 1
stress_free_temperature = 300.
temperature = temperature
eigenstrain_name = 'clad_thermal_eigenstrain'
[]
[density]
type = StrainAdjustedDensity
block = 1
strain_free_density = 6550.0
[]
[phase]
type = ZrPhase
block = 1
temperature = temperature
numerical_method = 2
[]
[failure_criterion]
type = ZryCladdingFailure
boundary = '2 5'
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate
temperature = temperature
fraction_beta_phase = fract_beta_phase
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0.
n_startup_steps = 1
end_time = 3000.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average cladding temperature (outer)
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
[]
[max_clad_temp]
type = NodalExtremeValue
value_type = max
variable = temperature
[]
[max_betaph_fract]
type = ElementExtremeValue
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
value_type = max
variable = creep_rate
[]
[max_creep_strain_mag]
type = ElementExtremeValue
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
value_type = max
variable = hoop_stress
[]
[min_burst_stress]
type = ElementExtremeValue
value_type = min
variable = burst_stress
[]
[pressure_inn]
type = FunctionValuePostprocessor
function = inner_pressure_func
[]
[burst]
type = ElementExtremeValue
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = 1
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = 1
plenum_boundary_name = '4 6'
external_clad_boundary_name = '2 5'
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = puzry-27_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_ORNL_cladding_burst_tests/analysis/Zr2_1/ornl_zr2_1_ad.i)
# Simulation ORNL burst tests Zr2_1
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = zr2_ornl_burst_test_mesh.e
[]
[]
[Variables]
[temperature]
initial_condition = 300.
[]
[]
[Functions]
[temperature_func] # only 10 inches of the rod are within the heated zone (cf. Terrani email)
type = PiecewiseBilinear
data_file = temperature_ornl_zr2_1.csv
axis = 1 # (0,1,2) => (x,y,z)
[]
[inner_pressure_func]
type = PiecewiseLinear
data_file = pressure_inner_ornl_zr2_1.csv
scale_factor = 1.e+06
format = columns
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 400. '
y = '0.1 0.1 ' # atmospheric pressure
scale_factor = 1.e+06
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
use_automatic_differentiation = true
block = cladding
add_variables = true
strain = FINITE
decomposition_method = TaylorExpansion
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
eigenstrain_names = 'clad_thermal_eigenstrain'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = ADHeatConduction
variable = temperature
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = ADMaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = ADMaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = ADMaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = ADMaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = ADMaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[temperature]
type = ADFunctionDirichletBC
variable = temperature
function = temperature_func
boundary = '2 4'
preset = false
[]
[no_y_top]
type = ADDirichletBC
variable = disp_y
boundary = 3
value = 0.
preset = false
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[mid_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 2 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[Materials]
[thermal]
type = ADZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ADZryElasticityTensor
block = cladding
matpro_youngs_modulus = false
matpro_poissons_ratio = false
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[hill_constants]
type = ADHillConstants
hill_constants = "0.5 0.5 0.5 1.0 1.0 1.0"
#hill_constants = "0.738 0.174 0.588 1.0 1.0 1.0"
#function_names = "F G H L M N"
[]
[clad_zrycreep]
type = ADZryAnisoCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 301
temperature_standard_thermal_creep_end = 300
fract_beta_phase_name = 'ad_fract_beta_phase'
[]
[thermal_expansion]
type = ADZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 300.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = ADStrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[phase_converter]
type = MaterialADConverter
reg_props_in = 'fract_beta_phase'
ad_props_out = 'ad_fract_beta_phase'
[]
[oxidation]
type = ADZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.004875
clad_outer_radius = 0.005580
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
#use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 400.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[pressure_inner]
type = FunctionValuePostprocessor
function = inner_pressure_func
execute_on = 'initial timestep_end'
[]
[pressure_outer]
type = FunctionValuePostprocessor
function = outer_pressure_func
execute_on = 'initial timestep_end'
[]
[ave_clad_temp]
type = SideAverageValue
boundary = 2
variable = temperature
execute_on = 'initial timestep_end'
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
execute_on = 'initial timestep_end'
[]
[min_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = min
variable = temperature
execute_on = 'initial timestep_end'
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
execute_on = 'initial timestep_end'
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
execute_on = 'initial timestep_end'
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
execute_on = 'initial timestep_end'
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
execute_on = 'initial timestep_end'
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
execute_on = 'initial timestep_end'
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
execute_on = 'initial timestep_end'
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
execute_on = 'initial timestep_end'
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
execute_on = 'initial timestep_end'
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[mid_disp_r_clad]
type = NodalVariableValue
variable = disp_x
nodeid = 22
[]
[stress_xx_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_xx
elementid = 19
[]
[stress_yy_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_yy
elementid = 19
[]
[stress_zz_midplane] # stress in the mid Element
type = ElementalVariableValue
variable = stress_zz
elementid = 19
[]
[strain_zz_midplane] # strain in the mid Element
type = ElementalVariableValue
variable = strain_zz
elementid = 19
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
plenum_boundary_name = 4
cladding_blocks = cladding
[]
[PerformanceMetricOutputs]
[]
[Outputs]
exodus = true
perf_graph = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 20
[]
[chkfile]
type = CSV
file_base = ornl_zr2_1_ad_chkfile
show = 'pressure_inner max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
(assessment/LWR/validation/LOCA_REBEKA_cladding_burst_tests/analysis/rebeka_2d_02MPa/rebeka_singlerod_2d_02MPa.i)
# Simulation of REBEKA single-rod, cladding-only LOCA tests.
[GlobalParams]
order = SECOND
family = LAGRANGE
displacements = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = rebeka_singlerod.e
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[temperature]
initial_condition = 573.0
[]
[]
[Functions]
[temperature_func]
type = PiecewiseLinear
x = '0. 700. '
y = '573. 1273.' # From 300 to 1000 C at 1 K/s
[]
[inner_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '2.e+06 2.e+06' # 20 bar
[]
[outer_pressure_func]
type = PiecewiseLinear
x = '0. 700. '
y = '1.e+05 1.e+05' # atmospheric pressure
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[clad]
block = cladding
add_variables = false
strain = FINITE
decomposition_method = EigenSolution
eigenstrain_names = 'clad_thermal_eigenstrain'
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 1 0'
generate_output = 'vonmises_stress stress_xx stress_yy stress_zz strain_xx
strain_yy strain_zz hoop_stress'
[]
[]
[AuxVariables]
[creep_rate_aux]
order = CONSTANT
family = MONOMIAL
[]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[fract_beta_phase]
order = CONSTANT
family = MONOMIAL
[]
[scale_thickness]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfract_total]
order = CONSTANT
family = MONOMIAL
[]
[oxywtfgain_total]
order = CONSTANT
family = MONOMIAL
[]
[burst_stress]
order = CONSTANT
family = MONOMIAL
[]
[burst]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
[]
[]
[AuxKernels]
[creep_rate_aux]
type = MaterialRealAux
variable = creep_rate_aux
property = creep_rate
execute_on = timestep_end
[]
[creep_strain_mag]
type = MaterialRealAux
property = effective_creep_strain
variable = creep_strain_mag
execute_on = timestep_end
[]
[fract_bphase]
type = MaterialRealAux
variable = fract_beta_phase
property = fract_beta_phase
[]
[scl_thickness]
type = MaterialRealAux
variable = scale_thickness
property = oxide_scale_thickness
boundary = 2
[]
[ofract_total]
type = MaterialRealAux
variable = oxywtfract_total
property = current_oxygen_weight_frac_total
boundary = 2
[]
[ofgain_total]
type = MaterialRealAux
boundary = 2
variable = oxywtfgain_total
property = oxygen_weight_frac_gained_total
[]
[sigmaburst]
type = MaterialRealAux
variable = burst_stress
property = burst_stress
boundary = 2
[]
[hasburst]
type = MaterialRealAux
variable = burst
property = failed
boundary = 2
execute_on = timestep_end
[]
[]
[BCs]
[inner_temperature]
type = REBEKADirichletBC
variable = temperature
function_tempm = temperature_func
minimum_temperature = 573.
translation = 0.1625
boundary = 4
[]
[no_y_midsection]
type = DirichletBC
variable = disp_y
boundary = 3
value = 0.
[]
[Pressure]
[outer_pressure] # apply steam pressure on clad outer wall
boundary = 2
function = outer_pressure_func
[]
[inner_pressure] # apply He pressure on clad inner wall
boundary = 4
function = inner_pressure_func
[]
[]
[]
[Constraints]
[bottom_section_plane]
type = EqualValueBoundaryConstraint
variable = disp_y
primary = 101 # node on boundary
secondary = 1 # boundary
penalty = 1.e+10
[]
[]
[CoolantChannel]
[convective_clad_surface]
boundary = 2
variable = temperature
inlet_temperature = 473.
inlet_pressure = 1.e+05
inlet_massflux = 1.0 # kg/m^2-sec # almost stagnant steam
rod_diameter = 10.75e-03
rod_pitch = 1.26e-02 # default
number_axial_zone = 15
oxide_thickness = scale_thickness
[]
[]
[Materials]
[thermal]
type = ZryThermal
block = cladding
temperature = temperature
[]
[clad_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = cladding
youngs_modulus = 1.0e11
poissons_ratio = 0.3
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = elastic
inelastic_models = 'clad_zrycreep'
block = cladding
[]
[clad_zrycreep]
type = ZryCreepLOCAUpdate
block = cladding
temperature = temperature
model_irradiation_creep = false
model_primary_creep = false
model_thermal_creep = true
temperature_loca_creep_begin = 501 # see Erbacher et al., 1982
temperature_standard_thermal_creep_end = 500
[]
[thermal_expansion]
type = ZryThermalExpansionMATPROEigenstrain
block = cladding
temperature = temperature
stress_free_temperature = 573.0
eigenstrain_name = clad_thermal_eigenstrain
[]
[density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 6550
[]
[phase]
type = ZrPhase
block = cladding
temperature = temperature
numerical_method = 2
[]
[oxidation]
type = ZryOxidation
boundary = 2
temperature = temperature
clad_inner_radius = 0.00465
clad_outer_radius = 0.005375
normal_operating_temperature_model = epri_kwu_ce
high_temperature_model = leistikow
use_coolant_channel = true
[]
[clad_failure_criterion]
type = ZryCladdingFailure
boundary = 2
failure_criterion = combined_overstress_and_plastic_instability
hoop_stress = hoop_stress
effective_strain_rate_creep = creep_rate_aux
temperature = temperature
fraction_beta_phase = fract_beta_phase
fraction_oxygen_gain = oxywtfgain_total
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
line_search = 'none'
l_max_its = 100
l_tol = 1e-2
nl_max_its = 15
nl_rel_tol = 1.e-04
nl_abs_tol = 1.e-08
start_time = 0
n_startup_steps = 1
end_time = 700.
dtmax = 1.
dtmin = 0.00000001
[TimeStepper]
type = PostprocessorDT
postprocessor = material_timestep
dt = 1.
[]
[]
[Postprocessors]
[ave_clad_exterior_temp] # average temperature of cladding exterior
type = SideAverageValue
boundary = 2
variable = temperature
[]
[material_timestep]
type = MaterialTimeStepPostprocessor
block = cladding
[]
[max_clad_temp]
type = NodalExtremeValue
block = cladding
value_type = max
variable = temperature
[]
[max_oxygen_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = oxywtfract_total
[]
[max_betaph_fract]
type = ElementExtremeValue
block = cladding
value_type = max
variable = fract_beta_phase
[]
[max_creep_rate]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_rate_aux
[]
[max_creep_strain_mag]
type = ElementExtremeValue
block = cladding
value_type = max
variable = creep_strain_mag
[]
[max_hoop_strain]
type = ElementExtremeValue
block = cladding
value_type = max
variable = strain_zz
[]
[max_hoop_stress]
type = ElementExtremeValue
block = cladding
value_type = max
variable = hoop_stress
[]
[vonmises_stress_clad]
type = ElementAverageValue
block = cladding
variable = vonmises_stress
[]
[min_burst_stress]
type = ElementExtremeValue
block = cladding
value_type = min
variable = burst_stress
[]
[burst]
type = ElementExtremeValue
block = cladding
value_type = max
variable = burst
[]
[peak_hoop_strain]
type = ElementExtremeValue
value_type = max
variable = strain_zz
block = cladding
[]
[zry_burst_opening_area]
type = ZryBurstOpening
fuel_pin_geometry = fuel_pin_geo
peak_hoop_strain = peak_hoop_strain
estimate = limiting
opening_shape = rectangle
output = area
[]
[]
[StandardLWRFuelRodOutputs]
rod_component = clad
cladding_blocks = cladding
plenum_boundary_name = 4
external_clad_boundary_name = 2
[]
[PerformanceMetricOutputs]
[]
[Outputs]
perf_graph = true
exodus = true
csv = true
[console]
type = Console
output_linear = true
max_rows = 25
[]
[chkfile]
type = CSV
file_base = rebeka_2d_02MPa_out_chkfile
show = 'average_interior_clad_temperature max_hoop_strain max_hoop_stress'
execute_on = 'FINAL'
[]
[]
[UserObjects]
[terminator]
type = Terminator
expression = 'burst > 0'
[]
[fuel_pin_geo]
type = FuelPinGeometry
clad_outer_wall = '2'
clad_inner_wall = '4'
include_fuel = false
[]
[]