- flux_conversion_factorConvert fast neutron flux E>0.10 to E>0.18 MeV
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Convert fast neutron flux E>0.10 to E>0.18 MeV
- temperatureCoupled temperature (K)
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Coupled temperature (K)
PyCCharacteristicStrength
Computes characteristic strength of pyrocarbons: Pa-m^(3/modulus).
Description
The characteristic strength of pyrolytic carbon (PyC) is given by Miller et al. (2018) and Ho (1993). It is a function of anisotropy and is determined from the following equation for room temperature: (1) where is a fitting parameter with a default value of 1.02. The characteristic strength has units of Pa- when the Weilbull modulus is 9.5.
At other temperatures and non-zero fluence, Eq. (1) is multiplied by a factor as follows: where (10 n/m, >0.18 MeV) is the fast neutron fluence, and (C) is the temperature. The correlation is given for fast fluence with neutron energy threshold >0.18 MeV. The model performs the fast fluence conversion from >0.10 MeV to >0.18 MeV using the flux_conversion_factor parameter.
Automatic differentiation is available using ADPyCCharacteristicStrength.
Example Input Syntax
[Postprocessors<<<{"href": "../../syntax/Postprocessors/index.html"}>>>]
[dt]
type = TimestepSize<<<{"description": "Reports the timestep size", "href": "../postprocessors/TimestepSize.html"}>>>
[]
[burnup]
type = ElementExtremeValue<<<{"description": "Finds either the min or max elemental value of a variable over the domain.", "href": "../postprocessors/ElementExtremeValue.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
variable<<<{"description": "The name of the variable that this postprocessor operates on"}>>> = burnup
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs<<<{"description": "Reports the fission gas that is produced in moles. To be used in combination with the Sifgrs model.", "href": "../postprocessors/ElementIntegralFisGasGeneratedSifgrs.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs<<<{"description": "Reports the fission gas that is released to the plenum in moles. To be used in combination with the Sifgrs model.", "href": "../postprocessors/ElementIntegralFisGasReleasedSifgrs.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
[]
[volumeTotal]
type = InternalVolume<<<{"description": "Computes the volume of an enclosed area by performing an integral over a user-supplied boundary.", "href": "../postprocessors/InternalVolume.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = exterior
[]
[volumeFuel]
type = InternalVolume<<<{"description": "Computes the volume of an enclosed area by performing an integral over a user-supplied boundary.", "href": "../postprocessors/InternalVolume.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume<<<{"description": "Computes the volume of an enclosed area by performing an integral over a user-supplied boundary.", "href": "../postprocessors/InternalVolume.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = 'fuel_outer_boundary IPyC_inner_boundary'
addition<<<{"description": "An additional volume to be included in the internal volume calculation. A time-dependent function is expected."}>>> = -5.53e-11
execute_on<<<{"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."}>>> = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume<<<{"description": "Computes the volume of an enclosed area by performing an integral over a user-supplied boundary.", "href": "../postprocessors/InternalVolume.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue<<<{"description": "Computes the average value of a variable on a sideset. Note that this cannot be used on the centerline of an axisymmetric model.", "href": "../postprocessors/SideAverageValue.html"}>>>
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = buffer_IPyC_boundary
variable<<<{"description": "The name of the variable which this postprocessor integrates"}>>> = temp
execute_on<<<{"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."}>>> = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower<<<{"description": "Computes the power given the fission rate and energy per fission.", "href": "../postprocessors/ElementIntegralPower.html"}>>>
variable<<<{"description": "The name of the variable that this object operates on"}>>> = temp
fission_rate<<<{"description": "Coupled fission rate"}>>> = fission_rate
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = fuel
energy_per_fission<<<{"description": "Energy released per fission (J/fission)"}>>> = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor<<<{"description": "Integrate a Postprocessor value over time using trapezoidal rule.", "href": "../postprocessors/TimeIntegratedPostprocessor.html"}>>>
value<<<{"description": "The name of the postprocessor"}>>> = total_fission_rate
[]
[avg_surface_temp]
type = SideAverageValue<<<{"description": "Computes the average value of a variable on a sideset. Note that this cannot be used on the centerline of an axisymmetric model.", "href": "../postprocessors/SideAverageValue.html"}>>>
variable<<<{"description": "The name of the variable which this postprocessor integrates"}>>> = temp
boundary<<<{"description": "The list of boundary IDs from the mesh where this object applies"}>>> = exterior
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor<<<{"description": "Integrate a Postprocessor value over time using trapezoidal rule.", "href": "../postprocessors/TimeIntegratedPostprocessor.html"}>>>
value<<<{"description": "The name of the postprocessor"}>>> = avg_surface_temp
[]
[co_production]
type = CarbonMonoxideProduction<<<{"description": "Computes CO production in oxide fuel based on the Proksch or GA correlation.", "href": "../postprocessors/CarbonMonoxideProduction.html"}>>>
total_fissions<<<{"description": "The name of the postprocessor containing the total fissions."}>>> = total_fissions
time_integrated_triso_temperature<<<{"description": "The name of the postprocessor containing the time integrated TRISO surface temperature (for Proksch)."}>>> = time_int_surf_temp
initial_enrichment<<<{"description": "initial enrichment fraction of U235 (wt%)"}>>> = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue<<<{"description": "Outputs an elemental variable value at a particular location", "href": "../postprocessors/ElementalVariableValue.html"}>>>
variable<<<{"description": "The variable to be monitored"}>>> = stress_yy
elementid<<<{"description": "The ID of the element where we monitor"}>>> = 18
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength<<<{"description": "Computes Weibull effective mean strength, which is used by the WeibullFailureOutputUsingCorrelation Postprocessor.", "href": "../postprocessors/WeibullEffectiveMeanStrength.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation<<<{"description": "Computes failure indicator of a TRISO layer using a correlation function.", "href": "../postprocessors/WeibullFailureOutputUsingCorrelation.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
stress_name<<<{"description": "Name of the stress property."}>>> = max_principal_stress
effective_mean_strength<<<{"description": "The name of the postprocessor calculating the effective mean strength."}>>> = strength_SiC
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength<<<{"description": "Computes Weibull effective mean strength, which is used by the WeibullFailureOutputUsingCorrelation Postprocessor.", "href": "../postprocessors/WeibullEffectiveMeanStrength.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation<<<{"description": "Computes failure indicator of a TRISO layer using a correlation function.", "href": "../postprocessors/WeibullFailureOutputUsingCorrelation.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
stress_name<<<{"description": "Name of the stress property."}>>> = max_principal_stress
effective_mean_strength<<<{"description": "The name of the postprocessor calculating the effective mean strength."}>>> = strength_IPyC
[]
[strength_OPyC]
type = WeibullEffectiveMeanStrength<<<{"description": "Computes Weibull effective mean strength, which is used by the WeibullFailureOutputUsingCorrelation Postprocessor.", "href": "../postprocessors/WeibullEffectiveMeanStrength.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
[]
[failure_indicator_OPyC]
type = WeibullFailureOutputUsingCorrelation<<<{"description": "Computes failure indicator of a TRISO layer using a correlation function.", "href": "../postprocessors/WeibullFailureOutputUsingCorrelation.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = OPyC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
stress_name<<<{"description": "Name of the stress property."}>>> = max_principal_stress
effective_mean_strength<<<{"description": "The name of the postprocessor calculating the effective mean strength."}>>> = strength_OPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation<<<{"description": "Computes failure indicator of a TRISO layer using a correlation function.", "href": "../postprocessors/WeibullFailureOutputUsingCorrelation.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
stress_name<<<{"description": "Name of the stress property."}>>> = max_principal_stress
high_fidelity_analysis_strength<<<{"description": "The effective mean strength obtained from a high-fidelity analysis."}>>> = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function<<<{"description": "The stress correlation function obtained from a high-fidelity analysis."}>>> = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_SiC_crackedOPyC]
type = WeibullFailureOutputUsingCorrelation<<<{"description": "Computes failure indicator of a TRISO layer using a correlation function.", "href": "../postprocessors/WeibullFailureOutputUsingCorrelation.html"}>>>
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = SiC
weibull_modulus<<<{"description": ",Weibull modulus"}>>> = 6
stress_name<<<{"description": "Name of the stress property."}>>> = max_principal_stress
high_fidelity_analysis_strength<<<{"description": "The effective mean strength obtained from a high-fidelity analysis."}>>> = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function<<<{"description": "The stress correlation function obtained from a high-fidelity analysis."}>>> = 'stress_correlation_crackedOPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation<<<{"description": "Computes particle failure based on Weibull statistical theory. It returns either 1 or 0, indicating fails or not fail.", "href": "../postprocessors/TRISOFailureEvaluation.html"}>>>
IPyC_failure<<<{"description": "The name of the postprocessor calculating the IPyC failure."}>>> = failure_indicator_IPyC
OPyC_failure<<<{"description": "The name of the postprocessor calculating the OPyC failure."}>>> = failure_indicator_OPyC
SiC_failure<<<{"description": "The name of the postprocessor calculating the SiC failure."}>>> = failure_indicator_SiC
SiC_failure_crackedIPyC<<<{"description": "The name of the postprocessor calculating the SiC failure due to cracked IPyC."}>>> = failure_indicator_SiC_crackedIPyC
SiC_failure_crackedOPyC<<<{"description": "The name of the postprocessor calculating the SiC failure due to cracked OPyC."}>>> = failure_indicator_SiC_crackedOPyC
[]
[characteristic_strength]
type = ElementExtremeMaterialProperty<<<{"description": "Determines the minimum or maximum of a material property over a volume.", "href": "../postprocessors/ElementExtremeMaterialProperty.html"}>>>
mat_prop<<<{"description": "Material property for which to find the extreme"}>>> = characteristic_strength
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
value_type<<<{"description": "Type of extreme value to return: 'max' returns the maximum value and 'min' returns the minimum value."}>>> = max
[]
[flence]
type = ElementExtremeMaterialProperty<<<{"description": "Determines the minimum or maximum of a material property over a volume.", "href": "../postprocessors/ElementExtremeMaterialProperty.html"}>>>
mat_prop<<<{"description": "Material property for which to find the extreme"}>>> = fast_neutron_fluence
block<<<{"description": "The list of blocks (ids or names) that this object will be applied"}>>> = IPyC
value_type<<<{"description": "Type of extreme value to return: 'max' returns the maximum value and 'min' returns the minimum value."}>>> = max
[]
[]Input Parameters
- X1.02Fitting parameter.
Default:1.02
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Fitting parameter.
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
- computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
Default:True
C++ Type:bool
Controllable:No
Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
- constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Options:NONE, ELEMENT, SUBDOMAIN
Controllable:No
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
- declare_suffixAn optional suffix parameter that can be appended to any declared 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 declared properties. The suffix will be prepended with a '_' character.
- fast_neutron_fluencefast_neutron_fluenceCoupled fast (E>0.10 MeV) neutron fluence
Default:fast_neutron_fluence
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:Coupled fast (E>0.10 MeV) neutron fluence
Optional 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.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
- 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
- output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector<std::string>
Controllable:No
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
- outputsnone Vector of output names where you would like to restrict the output of variables(s) associated with this object
Default:none
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
Outputs 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
- (examples/TRISO/failure_probability_direct_integration/asphericity.i)
- (examples/TRISO/failure_probability_direct_integration/ipyc_cracking.i)
- (test/tests/triso_failure/triso_ipyc_characteristic_strength.i)
- (test/tests/triso_failure/triso_failure_diffusivity.i)
- (test/tests/triso_failure/triso_1d_kernel_migration.i)
- (examples/TRISO/failure_probability_monte_carlo/triso_1d_constant.i)
- (examples/TRISO/correlation_function/h_asphericity/triso_1d.i)
- (examples/TRISO/correlation_function/h_ipyc_cracking/triso_cracking.i)
- (test/tests/triso_failure/ad_ipyc_characteristic_strength.i)
- (examples/TRISO/correlation_function/h_ipyc_sic_debonding/triso_debonding.i)
- (examples/TRISO/failure_probability_monte_carlo/triso_1d_function.i)
- (test/tests/triso_failure/higher_order_correlation.i)
- (test/tests/triso/kernel_migration/kernel_migration_distance.i)
- (test/tests/triso/mesh/ipyc_crack.i)
- (test/tests/triso_failure/triso_1d_ipyc_weibull_probability.i)
- (examples/TRISO/correlation_function/h_asphericity/triso_asphericity_mortar.i)
- (test/tests/triso_failure/ad_triso_1d_ipyc_weibull_probability.i)
- (examples/TRISO/correlation_function/h_asphericity/triso_asphericity.i)
- (examples/TRISO/failure_probability_direct_integration/triso_1d.i)
References
- F. Ho.
NP-MHTGR: Material Models of Pyrocarbon and Pyrolytic Silicon Carbide.
Report CEGA-002820 Rev. 1, CEGA Corporation, July 1993.[BibTeX]
@techreport{CEGA1993, author = "Ho, F.", title = "{NP-MHTGR: Material Models of Pyrocarbon and Pyrolytic Silicon Carbide}", institution = "CEGA Corporation", year = "1993", month = "July", number = "CEGA-002820 Rev. 1", type = "Report" } - G.K. Miller, D.A. Petti, J.T. Maki, D.L. Knudson, and W.F. Skerjanc.
PARFUME Theory and Model Basis Report.
Report INL/EXT-08-14497 (Rev.1), Idaho National Laboratory, September 2018.[BibTeX]
@techreport{Miller2018, author = "Miller, G.K. and Petti, D.A. and Maki, J.T. and Knudson, D.L. and Skerjanc, W.F.", title = "{PARFUME Theory and Model Basis Report}", institution = "Idaho National Laboratory", year = "2018", month = "September", number = "INL/EXT-08-14497 (Rev.1)", type = "Report" }
(test/tests/triso_failure/triso_ipyc_characteristic_strength.i)
[GlobalParams]
density = 10810.0
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 2.485e-4
buffer_thickness = 9.4e-5
IPyC_thickness = 4.1e-5
SiC_thickness = 3.6e-5
OPyC_thickness = 4.0e-5
kernel_mesh_density = 6
buffer_mesh_density = 6
IPyC_mesh_density = 6
SiC_mesh_density = 8
OPyC_mesh_density = 6
[]
[]
[Variables]
[disp_x]
[]
[temp]
initial_condition = 1346.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19 # units of fissions/m**3
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '100 100'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
[fuel_buffer_sic]
block = 'fuel buffer SiC'
eigenstrain_names = thermal_strain
[]
[ipyc_opyc]
block = 'IPyC OPyC'
incremental = true
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat]
type = HeatConduction
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
# coupling to a postprocessor
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temp]
type = DirichletBC
variable = temp
boundary = exterior
value = 1346.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure
use_displaced_mesh = false
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
# apply gas pressure on buffer and IPyC boundaries
[PlenumPressure]
[plenumPressure]
use_displaced_mesh = false
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
# coupling to post processor
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
[]
[]
[]
[Materials]
[max_principal_stress]
type = RankTwoInvariant
property_name = max_principal_stress
rank_two_tensor = stress
invariant = MaxPrincipal
[]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 1.708707e18
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temp
fission_rate = fission_rate
grain_radius_const = 5.0e-6
[]
[stress]
type = ComputeLinearElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temp
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[PyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_temp]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000
block = buffer
[]
[PyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_temp]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[PyC_den]
type = StrainAdjustedDensity
strain_free_density = 1880.0
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_temp]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temp
X = 1.02
flux_conversion_factor = 0.85
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[dt]
type = TimestepSize
[]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temp
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temp]
type = SideAverageValue
variable = temp
boundary = exterior
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_SiC
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 6
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[strength_OPyC]
type = WeibullEffectiveMeanStrength
block = OPyC
weibull_modulus = 6
[]
[failure_indicator_OPyC]
type = WeibullFailureOutputUsingCorrelation
block = OPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_OPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_SiC_crackedOPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedOPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
OPyC_failure = failure_indicator_OPyC
SiC_failure = failure_indicator_SiC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure_crackedOPyC = failure_indicator_SiC_crackedOPyC
[]
[characteristic_strength]
type = ElementExtremeMaterialProperty
mat_prop = characteristic_strength
block = IPyC
value_type = max
[]
[flence]
type = ElementExtremeMaterialProperty
mat_prop = fast_neutron_fluence
block = IPyC
value_type = max
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
csv = true
[]
(examples/TRISO/failure_probability_direct_integration/asphericity.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
aspect_ratio = 1.04
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RZ
[gen]
type = TRISO2DMeshGenerator
elem_type = quad4
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} '
'${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
num_sectors = 60
aspect_ratio = ${aspect_ratio}
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
mesh_generator = 'gen'
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz '
'max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[Pressure]
[exterior]
boundary = exterior
factor = 0.1e6
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
triso_geometry = particle_geometry
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-8
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
# For testing, we only run 20 time steps
num_steps = 20
dtmin = 1e-4
dt = 6e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = max_principal_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_IPyC]
type = WeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = false
perf_graph = true
exodus = false
[]
(examples/TRISO/failure_probability_direct_integration/ipyc_cracking.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
aspect_ratio = 1.04
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RZ
[gen]
type = TRISO2DMeshGenerator
elem_type = quad4
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} '
'${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
num_sectors = 60
aspect_ratio = ${aspect_ratio}
all_bottom_left = true
[]
[]
[XFEM]
qrule = volfrac
output_cut_plane = true
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[ipyc_crack]
type = LineSegmentCutUserObject
cut_data = '0.0000 0.0 0.001 0.0'
#cut_data = '0 0 0.00174 -0.00257'
time_start_cut = 0.0
time_end_cut = 0.0
block = IPyC
[]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
mesh_generator = 'gen'
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz '
'max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 5e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = '2001 2002 2004 2005'
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[Pressure]
[exterior]
boundary = exterior
factor = 0.1e6
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
triso_geometry = particle_geometry
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-11
nl_abs_tol = 1e-11
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
# For testing, we only run 20 time steps
num_steps = 20
dtmin = 1e-4
dt = 6e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = max_principal_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[weibull_failure_probability_SiC_crackedIPyC]
type = WeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = false
perf_graph = true
exodus = false
[]
(test/tests/triso_failure/triso_ipyc_characteristic_strength.i)
[GlobalParams]
density = 10810.0
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 2.485e-4
buffer_thickness = 9.4e-5
IPyC_thickness = 4.1e-5
SiC_thickness = 3.6e-5
OPyC_thickness = 4.0e-5
kernel_mesh_density = 6
buffer_mesh_density = 6
IPyC_mesh_density = 6
SiC_mesh_density = 8
OPyC_mesh_density = 6
[]
[]
[Variables]
[disp_x]
[]
[temp]
initial_condition = 1346.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19 # units of fissions/m**3
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '100 100'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
[fuel_buffer_sic]
block = 'fuel buffer SiC'
eigenstrain_names = thermal_strain
[]
[ipyc_opyc]
block = 'IPyC OPyC'
incremental = true
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temp
[]
[heat]
type = HeatConduction
variable = temp
[]
[heat_source]
type = NeutronHeatSource
variable = temp
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
# coupling to a postprocessor
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temp]
type = DirichletBC
variable = temp
boundary = exterior
value = 1346.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = Pressure
use_displaced_mesh = false
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
# apply gas pressure on buffer and IPyC boundaries
[PlenumPressure]
[plenumPressure]
use_displaced_mesh = false
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
# coupling to post processor
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
[]
[]
[]
[Materials]
[max_principal_stress]
type = RankTwoInvariant
property_name = max_principal_stress
rank_two_tensor = stress
invariant = MaxPrincipal
[]
[flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 1.708707e18
[]
[fission_gas_release]
type = UO2Sifgrs
block = fuel
temperature = temp
fission_rate = fission_rate
grain_radius_const = 5.0e-6
[]
[stress]
type = ComputeLinearElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = PyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temp
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = PyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[PyC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[SiC_thermal_strain]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[fuel_thermal]
type = UO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_temp]
type = HeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_den]
type = StrainAdjustedDensity
strain_free_density = 1000
block = buffer
[]
[PyC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_temp]
type = HeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[PyC_den]
type = StrainAdjustedDensity
strain_free_density = 1880.0
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_temp]
type = HeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_den]
type = StrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temp
X = 1.02
flux_conversion_factor = 0.85
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[dt]
type = TimestepSize
[]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temp
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temp]
type = SideAverageValue
variable = temp
boundary = exterior
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_SiC
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 6
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[strength_OPyC]
type = WeibullEffectiveMeanStrength
block = OPyC
weibull_modulus = 6
[]
[failure_indicator_OPyC]
type = WeibullFailureOutputUsingCorrelation
block = OPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_OPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_SiC_crackedOPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedOPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
OPyC_failure = failure_indicator_OPyC
SiC_failure = failure_indicator_SiC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure_crackedOPyC = failure_indicator_SiC_crackedOPyC
[]
[characteristic_strength]
type = ElementExtremeMaterialProperty
mat_prop = characteristic_strength
block = IPyC
value_type = max
[]
[flence]
type = ElementExtremeMaterialProperty
mat_prop = fast_neutron_fluence
block = IPyC
value_type = max
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
csv = true
[]
(test/tests/triso_failure/triso_failure_diffusivity.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[mesh]
type = TRISO1DMeshGenerator
elem_type = EDGE2
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '18 14 0 12 16 16'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
IPyC_thickness_mean = ${IPyC_thickness}
SiC_thickness_mean = ${SiC_thickness}
OPyC_thickness_mean = ${OPyC_thickness}
[]
[]
[Variables]
[temperature]
initial_condition = 873.15
[]
[conc_Ag]
initial_condition = 0.0
scaling = 1e12
[]
[]
[AuxVariables]
[bounds_dummy]
order = FIRST
family = LAGRANGE
[]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_produced]
order = CONSTANT
family = MONOMIAL
[]
[fis_gas_released]
order = CONSTANT
family = MONOMIAL
[]
[Ag_diff_coef]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 76e6'
y = '1 1'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 7.78e19
[]
[high_fidelity_strength_crackedIPyC]
type = ConstantFunction
value = '1403604095.5707'
[]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = -4.0
[]
[high_fidelity_strength_asphericity]
type = ConstantFunction
value = '1371700766.8875'
[]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = 1.5191967987843993
[]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = 1.391516859626456
[]
[d_gap]
type = PiecewiseLinear
x = '1500 2100'
y = '1e-14 1e-12'
[]
[ag_d1]
type = ParsedFunction
symbol_values = 'sic_failure_overall'
symbol_names = 'failure'
expression = 'if(failure > 0.5,1e-6,3.6e-9)'
[]
[ag_q1]
type = ParsedFunction
symbol_values = 'sic_failure_overall'
symbol_names = 'failure'
expression = 'if(failure > 0.5,0,215e3)'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[mass_Ag_dt]
type = TimeDerivative
variable = conc_Ag
[]
[mass_Ag]
type = ArrheniusDiffusion
variable = conc_Ag
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
extra_vector_tags = 'ref'
[]
[mass_source_Ag]
type = SpeciesSourceRate
variable = conc_Ag
property_name = Ag_generation
block = fuel
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[Ag_diff_coef]
type = MaterialRealAux
variable = Ag_diff_coef
property = arrhenius_diffusion_coef_Ag
execute_on = timestep_end
[]
[]
[BCs]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = 873.15
boundary = exterior
[]
[freesurf_conc_Ag]
type = DirichletBC
variable = conc_Ag
boundary = exterior
value = 0.0
[]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Controls]
[ag_d1]
type = RealFunctionControl
parameter = 'Materials/SiC_conc_Ag/d1'
function = 'ag_d1'
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[ag_q1]
type = RealFunctionControl
parameter = 'Materials/SiC_conc_Ag/q1'
function = 'ag_q1'
execute_on = 'INITIAL TIMESTEP_BEGIN'
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
#block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 1.16e18
[]
# Arrhenius diffusion coefficients for kernel, PyC, and SiC
# come from IAEA TECDOC-978, French parameters.
[fuel_conc_Ag]
type = ArrheniusDiffusionCoef
block = fuel
d1 = 6.7e-9 # m^2/s
q1 = 165e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[mass_source_Ag_property]
type = SpeciesSourceMaterial
property_name = Ag_generation
kind = Ag
block = fuel
[]
### Buffer Properties
[buffer_conc_Ag]
type = ArrheniusDiffusionCoef
block = buffer
d1 = 1e-8 # m^2/s
q1 = 0.0
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
### IPyC properties
[IPyC_conc_Ag]
type = ArrheniusDiffusionCoef
block = IPyC
d1 = 5.3e-9 # m^2/s
q1 = 154e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
### SiC properties
[SiC_conc_Ag]
type = ArrheniusDiffusionCoef
block = SiC
d1 = 3.6e-9 # m^2/s
q1 = 215e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
### OPyC properties
[OPyC_conc_Ag]
type = ArrheniusDiffusionCoef
block = OPyC
d1 = 5.3e-9 # m^2/s
q1 = 154e3 # J/mol
temperature = temperature
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
initial_gas_types = 'Kr Xe'
initial_fractions = '0.185 0.815'
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
roughness_primary = 0e-6
roughness_secondary = 0e-6
jumpdistance_primary = 0
jumpdistance_secondary = 0
quadrature = true
emissivity_secondary = 0.0
emissivity_primary = 0.0
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[conc_Ag]
type = GapHeatTransfer
variable = conc_Ag
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
tangential_tolerance = 1e-6
gap_conductivity_function = d_gap
gap_conductivity_function_variable = temperature
appended_property_name = _conc_Ag
quadrature = true
gap_geometry_type = sphere
emissivity_primary = 0.0
emissivity_secondary = 0.0
min_gap = 1e-7
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
line_search = 'none'
nl_rel_tol = 1e-7
nl_abs_tol = 1e-7
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
growth_factor = 1.5
optimal_iterations = 8 #6
linear_iteration_ratio = 100
time_t = '0 76e6 76.001e6 84.641e6 84.6482e6'
time_dt = '20 20 20 20 20'
[]
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[release_heat_inc]
type = SideIntegralMassFlux
variable = temperature
boundary = exterior
arrhenius_prpty_name = thermal_conductivity
execute_on = 'initial timestep_end'
[]
[release_Ag_inc]
type = SideIntegralMassFlux
variable = conc_Ag
boundary = exterior
arrhenius_prpty_name = arrhenius_diffusion_coef_Ag
execute_on = 'initial timestep_end'
[]
[released_Ag]
type = TimeIntegratedPostprocessor # computes time integration of value
value = release_Ag_inc
execute_on = 'initial timestep_end'
[]
[total_Ag]
type = ElementIntegralMaterialProperty
mat_prop = Ag_generation_total
block = fuel
execute_on = 'initial timestep_end'
[]
[x_Ag_released]
type = FractionalRelease
released = released_Ag
total = total_Ag
[]
[retained_Ag]
type = ElementIntegralVariablePostprocessor
variable = conc_Ag
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_produced
block = fuel
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
execute_on = 'initial linear timestep_end'
[]
### Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temperature
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
execute_on = 'initial timestep_end'
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
execute_on = 'initial timestep_end'
[]
##### irradiation conditions
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_asphericity'
stress_correlation_function = 'stress_correlation_asphericity'
stress_change_correlation_function = 'stress_change_correlation_asphericity'
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 9.5
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 9.5
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[sic_failure_overall]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
SiC_failure_pd_penetration = failure_indicator_pd_penetration
failure_type = SIC_FAILURE_OVERALL
[]
[ipyc_cracking]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = IPYC_CRACKING
[]
[sic_failure_due_to_pressure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = SIC_FAILURE_DUE_TO_PRESSURE
[]
[sic_failure_due_to_ipyc_cracking]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = SIC_FAILURE_DUE_TO_IPYC_CRACKING
[]
[weibull_failure_probability_IPyC]
type = WeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength
[]
[pd_penetration]
type = PdPenetration
boundary = SiC_inner_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[failure_indicator_pd_penetration]
type = PdPenetrationFailureIndicator
triso_geometry = particle_geometry
pd_penetration = pd_penetration
[]
[]
[Outputs]
csv = true
[]
(test/tests/triso_failure/triso_1d_kernel_migration.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 1573 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[mesh]
type = TRISO1DMeshGenerator
elem_type = EDGE2
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} '
'${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Variables]
[temperature]
initial_condition = 1573
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '100 100'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz '
'max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = DirichletBC
variable = temperature
value = 1573
boundary = exterior
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmin = 1e-4
dt = 1e4
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress_max]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = stress_yy
[]
[SiC_stress_min]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[kernel_migration_distance]
type = KernelMigrationDistance
block = 'fuel buffer IPyC SiC OPyC'
variable = temperature
temperature_gradient = 15000
kernel_type = UO2
[]
[failure_indicator_kernel_migration]
type = KernelMigrationFailureIndicator
kernel_migration_distance = kernel_migration_distance
triso_geometry = particle_geometry
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_SiC
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 6
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[strength_OPyC]
type = WeibullEffectiveMeanStrength
block = OPyC
weibull_modulus = 6
[]
[failure_indicator_OPyC]
type = WeibullFailureOutputUsingCorrelation
block = OPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_OPyC
[]
[pd_penetration]
type = PdPenetration
boundary = SiC_inner_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[failure_indicator_pd_penetration]
type = PdPenetrationFailureIndicator
triso_geometry = particle_geometry
pd_penetration = pd_penetration
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_SiC_crackedOPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedOPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
OPyC_failure = failure_indicator_OPyC
SiC_failure = failure_indicator_SiC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure_crackedOPyC = failure_indicator_SiC_crackedOPyC
SiC_failure_pd_penetration = failure_indicator_pd_penetration
SiC_failure_kernel_migration = failure_indicator_kernel_migration
[]
[]
[Outputs]
show = 'kernel_migration_distance failure_indicator_kernel_migration triso_failure '
print_linear_residuals = false
time_step_interval = 1
csv = true
perf_graph = true
[]
(examples/TRISO/failure_probability_monte_carlo/triso_1d_constant.i)
initial_fuel_density = 5
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
kernel_mesh_density = ${initial_fuel_density}
buffer_mesh_density = 3
IPyC_mesh_density = 5
SiC_mesh_density = 3
OPyC_mesh_density = 4
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
IPyC_thickness_mean = 40.4e-6
SiC_thickness_mean = 35.2e-6
OPyC_thickness_mean = 43.4e-6
execute_on = 'INITIAL TIMESTEP_END'
[]
[sic_failure_terminator]
type = Terminator
expression = 'sic_failure_overall > 0'
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[high_fidelity_strength_crackedIPyC]
type = ConstantFunction
value = '1403604095.5707'
[]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = -1.2447543103484047
[]
[high_fidelity_strength_debonding]
type = ConstantFunction
value = '1705800293.3578'
[]
[stress_correlation_debonding]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = -0.14916368684964607
[]
[high_fidelity_strength_asphericity]
type = ConstantFunction
value = '1371700766.8875'
[]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = 1.5191967987843993
[]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = 1.391516859626456
[]
[sic_crackedipyc_stress_strength]
type = ParsedFunction
expression = 'a-b'
symbol_names = 'a b'
symbol_values = 'stress_SiC_crackedIPyC actual_strength_SiC_crackedIPyC'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[radial_stress]
type = RankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = RadialStress
property_name = radial_stress
outputs = all
[]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 5e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_asphericity'
stress_correlation_function = 'stress_correlation_asphericity'
stress_change_correlation_function = 'stress_change_correlation_asphericity'
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 9.5
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 9.5
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_debonding]
type = TRISODebondingFailureIndicator
boundary = IPyC_outer_boundary
bond_strength = 10e6
stress_name = radial_stress
[]
[failure_indicator_SiC_debonding]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_debonding'
stress_correlation_function = 'stress_correlation_debonding'
[]
[sic_failure_overall]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
SiC_failure_pd_penetration = failure_indicator_pd_penetration
SiC_failure_kernel_migration = failure_indicator_kernel_migration
failure_type = SIC_FAILURE_OVERALL
[]
[ipyc_cracking]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = IPYC_CRACKING
[]
[sic_failure_due_to_pressure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = SIC_FAILURE_DUE_TO_PRESSURE
[]
[sic_failure_due_to_ipyc_cracking]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = SIC_FAILURE_DUE_TO_IPYC_CRACKING
[]
[stress_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
output_type = 'stress'
[]
[actual_strength_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
output_type = 'strength'
[]
[SiC_crackedIPyC_stressminusstrength]
type = FunctionValuePostprocessor
function = 'sic_crackedipyc_stress_strength'
[]
[debonding]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
IPyC_SiC_debonding = failure_indicator_debonding
SiC_failure_debonding = failure_indicator_SiC_debonding
failure_type = IPYC_SIC_DEBONDING
[]
[fluence_at_failure]
type = TRISOFailureOccurrenceStatus
failure_evaluation = ipyc_cracking
failure_information = max_fluence
[]
[weibull_failure_probability_IPyC]
type = WeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength
[]
[pd_penetration]
type = PdPenetration
boundary = SiC_inner_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[failure_indicator_pd_penetration]
type = PdPenetrationFailureIndicator
triso_geometry = particle_geometry
pd_penetration = pd_penetration
[]
[kernel_migration_distance]
type = KernelMigrationDistance
block = 'fuel buffer IPyC SiC OPyC'
variable = temperature
temperature_gradient = 15000
kernel_type = UCO
[]
[failure_indicator_kernel_migration]
type = KernelMigrationFailureIndicator
kernel_migration_distance = kernel_migration_distance
triso_geometry = particle_geometry
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = false
exodus = false
perf_graph = true
print_linear_converged_reason = false
print_nonlinear_converged_reason = false
[]
(examples/TRISO/correlation_function/h_asphericity/triso_1d.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[mesh]
type = TRISO1DMeshGenerator
elem_type = EDGE2
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-8
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 6e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress_max]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = stress_yy
[]
[SiC_stress_min]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = true
perf_graph = true
exodus = true
[]
(examples/TRISO/correlation_function/h_ipyc_cracking/triso_cracking.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RZ
[mesh]
type = TRISO2DMeshGenerator
elem_type = quad4
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
num_sectors = 60
all_bottom_left = True
[]
[]
[XFEM]
qrule = volfrac
output_cut_plane = true
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[ipyc_crack]
type = LineSegmentCutUserObject
cut_data = '0.0000 0 0.001 0'
time_start_cut = 0.0
time_end_cut = 0.0
block = IPyC
[]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
mesh_generator = mesh
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress min_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 5e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = '2001 2002 2004 2005'
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[Pressure]
[exterior]
boundary = exterior
factor = 0.1e6
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
triso_geometry = particle_geometry
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = StrainAdjustedDensity
block = IPyC
strain_free_density = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = StrainAdjustedDensity
block = OPyC
strain_free_density = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 6e5
automatic_scaling = true
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = max_principal_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength
[]
[]
[Outputs]
print_linear_residuals = true
time_step_interval = 1
csv = true
perf_graph = true
exodus = false
[]
(test/tests/triso_failure/ad_ipyc_characteristic_strength.i)
[GlobalParams]
density = 10810.0
flux_conversion_factor = 1.0
order = SECOND
family = LAGRANGE
displacements = 'disp_x'
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 2.485e-4
buffer_thickness = 9.4e-5
IPyC_thickness = 4.1e-5
SiC_thickness = 3.6e-5
OPyC_thickness = 4.0e-5
kernel_mesh_density = 6
buffer_mesh_density = 6
IPyC_mesh_density = 6
SiC_mesh_density = 8
OPyC_mesh_density = 6
[]
[]
[Variables]
[disp_x]
[]
[temp]
initial_condition = 1346.0
[]
[]
[Functions]
[radial_eigenstrain]
type = ParsedFunction
expression = 't*(4.52013e-4/6.0*t*t*t*t*t - 8.36313e-3/5.0*t*t*t*t + 5.67549e-2/4.0*t*t*t - 1.74247e-1/3.0*t*t + 2.62692e-1/2.0*t - 1.43234e-1)'
[]
[tangential_eigenstrain]
type = ParsedFunction
expression = 't*(1.30457e-4/4.0*t*t*t - 2.10029e-3/3.0*t*t + 9.07826e-3/2.0*t - 3.24737e-2)'
[]
[fission_rate]
type = ParsedFunction
expression = 7.75e19 # units of fissions/m**3
[]
[k_function]
type = ParsedFunction
expression = '4.93e-29'
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[high_fidelity_strength_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1000000 1000000'
[]
[stress_correlation_crackedOPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '1 1'
[]
[stress_correlation_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e11'
y = '100 100'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
block = fuel
initial_condition = 0.0
[]
[fission_rate]
block = fuel
[]
[]
[Physics/SolidMechanics/QuasiStatic]
strain = small
[fuel_buffer_sic]
block = 'fuel buffer SiC'
eigenstrain_names = thermal_strain
use_automatic_differentiation = true
[]
[ipyc_opyc]
block = 'IPyC OPyC'
incremental = true
eigenstrain_names = 'thermal_strain pyc_eigenstrain'
use_automatic_differentiation = true
[]
[]
[Kernels]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temp
[]
[heat]
type = ADHeatConduction
variable = temp
[]
[heat_source]
type = ADNeutronHeatSource
variable = temp
block = fuel
energy_per_fission = 3.2e-11
fission_rate = fission_rate
[]
[]
[AuxKernels]
[stress_yy]
type = ADRankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[fission_rate]
type = FunctionAux
variable = fission_rate
block = fuel
function = fission_rate
[]
[burnup]
type = BurnupAux
variable = burnup
block = fuel
fission_rate = fission_rate
molecular_weight = 0.270 # units of kg/mole
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
penalty = 1e5
model = frictionless
formulation = kinematic
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temp
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
# coupling to a postprocessor
initial_moles = initial_moles
gas_released = 'fis_gas_released co_production'
released_gas_types = 'Kr Xe;
CO'
released_fractions = '0.153 0.847;
1'
tangential_tolerance = 1e-6
use_automatic_differentiation = true
[]
[]
[BCs]
# pin particle along symmetry planes
[no_disp_x]
type = ADDirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
# fix temperature on free surface
[freesurf_temp]
type = ADDirichletBC
variable = temp
boundary = exterior
value = 1346.0
[]
# exterior and internal pressures
[exterior_pressure_x]
type = ADPressure
use_displaced_mesh = false
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
# apply gas pressure on buffer and IPyC boundaries
[PlenumPressure]
[plenumPressure]
use_displaced_mesh = false
boundary = buffer_IPyC_boundary
initial_pressure = 0
startup_time = 1.0e4
R = 8.3143
# coupling to post processor
output_initial_moles = initial_moles
temperature = ave_temp_interior
volume = volumeGas
material_input = 'fis_gas_released co_production'
output = plenum_pressure
use_automatic_differentiation = true
[]
[]
[]
[Materials]
[max_principal_stress]
type = ADRankTwoInvariant
property_name = max_principal_stress
rank_two_tensor = stress
invariant = MaxPrincipal
[]
[flux]
type = ADFastNeutronFlux
calculate_fluence = true
factor = 1.708707e18
[]
[fission_gas_release]
type = ADUO2Sifgrs
block = fuel
temperature = temp
fission_rate = fission_rate
grain_radius_const = 5.0e-6
[]
[stress]
type = ADComputeLinearElasticStress
block = 'fuel buffer SiC'
[]
[PyC_stress]
type = ADPyCCreep
block = 'IPyC OPyC'
k = k_function
poissons_ratio = 0.4
temperature = temp
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'IPyC OPyC'
[]
[PyC_eigenstrain]
type = ADPyCIrradiationEigenstrain
block = 'IPyC OPyC'
radial_eigenstrain_function = radial_eigenstrain
tangential_eigenstrain_function = tangential_eigenstrain
eigenstrain_name = pyc_eigenstrain
[]
[fuel_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[PyC_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = 'buffer IPyC OPyC'
thermal_expansion_coeff = 5.5e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[SiC_thermal_strain]
type = ADComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
stress_free_temperature = 1346.0
eigenstrain_name = thermal_strain
temperature = temp
[]
[fuel_thermal]
type = ADUO2Thermal
thermal_conductivity_model = FINK_LUCUTA
block = fuel
temperature = temp
burnup = burnup
[]
[fuel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = fuel
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[fuel_den]
type = ADStrainAdjustedDensity
block = fuel
strain_free_density = 10810.0
[]
[buffer_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = buffer
youngs_modulus = 2e8
poissons_ratio = 0.345
[]
[buffer_temp]
type = ADHeatConductionMaterial
block = buffer
thermal_conductivity = 0.5
specific_heat = 720.0
[]
[buffer_den]
type = ADStrainAdjustedDensity
strain_free_density = 1000
block = buffer
[]
[PyC_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = 'IPyC OPyC'
youngs_modulus = 3.96e10
poissons_ratio = 0.33
[]
[PyC_temp]
type = ADHeatConductionMaterial
block = 'IPyC OPyC'
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[PyC_den]
type = ADStrainAdjustedDensity
strain_free_density = 1880.0
block = 'IPyC OPyC'
[]
[SiC_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
block = SiC
youngs_modulus = 3.7e11
poissons_ratio = 0.13
[]
[SiC_temp]
type = ADHeatConductionMaterial
block = SiC
thermal_conductivity = 13.9
specific_heat = 620.0
[]
[SiC_den]
type = ADStrainAdjustedDensity
strain_free_density = 3200.0
block = SiC
[]
[characteristic_strength_SiC]
type = ADGenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = ADPyCCharacteristicStrength
temperature = temp
X = 1.02
flux_conversion_factor = 0.85
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Debug]
show_var_residual_norms = true
[]
[Executioner]
type = Transient
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter'
petsc_options_value = '201 hypre boomeramg 4'
line_search = 'none'
solve_type = 'PJFNK'
nl_rel_tol = 5e-8
nl_abs_tol = 1e-10
nl_max_its = 15
l_tol = 1e-3
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmax = 2e5
dtmin = 1
[TimeStepper]
type = IterationAdaptiveDT
dt = 20
optimal_iterations = 6
iteration_window = 2
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[dt]
type = TimestepSize
[]
[burnup]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fis_gas_produced]
type = ADElementIntegralFisGasGeneratedSifgrs
block = fuel
[]
[fis_gas_released]
type = ADElementIntegralFisGasReleasedSifgrs
block = fuel
[]
[volumeTotal]
type = InternalVolume
boundary = exterior
[]
[volumeFuel]
type = InternalVolume
boundary = fuel_outer_boundary
[]
[volumeGas]
type = InternalVolume
boundary = 'fuel_outer_boundary IPyC_inner_boundary'
addition = -5.53e-11
execute_on = 'initial timestep_end'
[]
[volumeBufferShell]
type = InternalVolume
boundary = buffer_IPyC_boundary
[]
[ave_temp_interior]
type = SideAverageValue
boundary = buffer_IPyC_boundary
variable = temp
execute_on = 'initial timestep_end'
[]
# Postprocessors for CO production
[total_fission_rate]
type = ElementIntegralPower
variable = temp
fission_rate = fission_rate
block = fuel
energy_per_fission = 1.0
[]
[total_fissions]
type = TimeIntegratedPostprocessor
value = total_fission_rate
[]
[avg_surface_temp]
type = SideAverageValue
variable = temp
boundary = exterior
[]
[time_int_surf_temp]
type = TimeIntegratedPostprocessor
value = avg_surface_temp
[]
[co_production]
type = CarbonMonoxideProduction
total_fissions = total_fissions
time_integrated_triso_temperature = time_int_surf_temp
initial_enrichment = 0.14029
[]
[tang_SiC]
type = ElementalVariableValue
variable = stress_yy
elementid = 18
[]
[strength_SiC]
type = ADWeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = ADWeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_SiC
[]
[strength_IPyC]
type = ADWeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 6
[]
[failure_indicator_IPyC]
type = ADWeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[strength_OPyC]
type = ADWeibullEffectiveMeanStrength
block = OPyC
weibull_modulus = 6
[]
[failure_indicator_OPyC]
type = ADWeibullFailureOutputUsingCorrelation
block = OPyC
weibull_modulus = 6
stress_name = max_principal_stress
effective_mean_strength = strength_OPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = ADWeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_SiC_crackedOPyC]
type = ADWeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = max_principal_stress
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedOPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
OPyC_failure = failure_indicator_OPyC
SiC_failure = failure_indicator_SiC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure_crackedOPyC = failure_indicator_SiC_crackedOPyC
[]
[characteristic_strength]
type = ADElementExtremeMaterialProperty
mat_prop = characteristic_strength
block = IPyC
value_type = max
[]
[flence]
type = ADElementExtremeMaterialProperty
mat_prop = fast_neutron_fluence
block = IPyC
value_type = max
[]
[]
[Outputs]
file_base = triso_ipyc_characteristic_strength_out
print_linear_residuals = true
time_step_interval = 1
csv = true
[]
(examples/TRISO/correlation_function/h_ipyc_sic_debonding/triso_debonding.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
aspect_ratio = 1.0
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
anisotropy = false
[]
[Mesh]
coord_type = RZ
[gen]
type = TRISO2DMeshGenerator
elem_type = quad4
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} '
'${coordinates5}'
mesh_density = '20 8 0 8 8 8'
block_names = 'fuel buffer IPyC SiC OPyC'
num_sectors = 60
aspect_ratio = ${aspect_ratio}
all_bottom_left = true
[]
[breakmesh]
input = gen
type = BreakMeshByBlockGenerator
block_pairs = '3 4'
add_interface_on_two_sides = true
split_interface = true
[]
[opyc_node]
type = ExtraNodesetGenerator
input = breakmesh
new_boundary = 'opyc_node'
nodes = '4133'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[bounds_dummy]
order = FIRST
family = LAGRANGE
[]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz'
add_variables = true
temperature = temperature
strain = FINITE
incremental = true
decomposition_method = TaylorExpansion
volumetric_locking_correction = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Physics/SolidMechanics/CohesiveZone]
[czm]
boundary = 'IPyC_SiC'
displacements = 'disp_x disp_y'
strain = FINITE
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = true
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[thermal_contact_ipyc_sic]
type = GapHeatTransfer
variable = temperature
primary = IPyC_SiC
secondary = SiC_IPyC
quadrature = true
tangential_tolerance = 1e-6
min_gap = 1e-7
max_gap = 50e-6
gap_conductivity = 100
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = '2001 2002 opyc_node'
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[Pressure]
[exterior]
boundary = exterior
factor = 0.1e6
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[tangential_stress]
type = RankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = HoopStress
property_name = tangential_stress
outputs = all
[]
[radial_stress]
type = RankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = RadialStress
property_name = radial_stress
outputs = all
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
triso_geometry = particle_geometry
[]
[normal_strength]
type = GenericFunctionMaterial
prop_names = 'N'
prop_values = 'if(y>345e-6,0.5,1.0)*3e7'
outputs = all
[]
[czm]
type = BiLinearMixedModeTraction
boundary = 'IPyC_SiC'
penalty_stiffness = 4e14
lag_mode_mixity = true
GI_c = 8
GII_c = 4
normal_strength = N
shear_strength = 1e7
displacements = 'disp_x disp_y'
eta = 2
viscosity = 1
alpha = 1e-10
mixed_mode_criterion = POWER_LAW
outputs = all
[]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Bounds]
[temperature_lower_bound]
type = ConstantBounds
variable = bounds_dummy
bounded_variable = temperature
bound_type = lower
bound_value = 1
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_shift_type -pc_factor_shift_amount -snes_type'
petsc_options_value = 'lu nonzero 1e-10 vinewtonrsls'
line_search = 'none'
nl_rel_tol = 1e-8
nl_abs_tol = 1e-8
nl_max_its = 15
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dt = 86400
dtmin = 1
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_IPyC]
type = WeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[max_radial_sic]
type = ElementExtremeValue
variable = radial_stress
block = SiC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeValue
variable = tangential_stress
block = SiC
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = true
perf_graph = true
exodus = true
[]
(examples/TRISO/failure_probability_monte_carlo/triso_1d_function.i)
initial_fuel_density = 5
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
kernel_mesh_density = ${initial_fuel_density}
buffer_mesh_density = 3
IPyC_mesh_density = 5
SiC_mesh_density = 3
OPyC_mesh_density = 4
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
IPyC_thickness_mean = 40.4e-6
SiC_thickness_mean = 35.2e-6
OPyC_thickness_mean = 43.4e-6
execute_on = 'INITIAL TIMESTEP_END'
[]
[sic_failure_terminator]
type = Terminator
expression = 'sic_failure_overall > 0'
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[high_fidelity_strength_crackedIPyC]
type = ConstantFunction
value = '1403604095.0794'
[]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 5.95176524e3 -2.25337303e8'
polynomial_coefficients_SiC = '1 1.43220859e4 -5.17689523e7'
polynomial_coefficients_OPyC = '1 -1.25870267e4 1.81620484e8'
correlation_factor = -1.2447543093270736
[]
[high_fidelity_strength_debonding]
type = ConstantFunction
value = '1705800293.3578'
[]
[stress_correlation_debonding]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 0 0'
polynomial_coefficients_SiC = '1 0 0'
polynomial_coefficients_OPyC = '1 0 0'
correlation_factor = -0.14916368684964607
[]
[high_fidelity_strength_asphericity]
type = ConstantFunction
value = '1371700806.9481'
[]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 1.00595402e3 1.43530004e7'
polynomial_coefficients_SiC = '1 3.27925856e3 -2.02308753e8'
polynomial_coefficients_OPyC = '1 2.07404580e3 -6.12612615e6'
correlation_factor = 1.5191967993808713
[]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -5.81891553e3 -2.81628655e7'
polynomial_coefficients_SiC = '1 1.00990700e4 -5.55290343e8'
polynomial_coefficients_OPyC = '1 -3.59151050e3 -2.65952373e7'
correlation_factor = 1.3915168526633837
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[radial_stress]
type = RankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = RadialStress
property_name = radial_stress
outputs = all
[]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 5e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_asphericity'
stress_correlation_function = 'stress_correlation_asphericity'
stress_change_correlation_function = 'stress_change_correlation_asphericity'
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 9.5
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 9.5
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[failure_indicator_debonding]
type = TRISODebondingFailureIndicator
boundary = IPyC_outer_boundary
bond_strength = 10e6
stress_name = radial_stress
[]
[failure_indicator_SiC_debonding]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_debonding'
stress_correlation_function = 'stress_correlation_debonding'
[]
[sic_failure_overall]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
SiC_failure_pd_penetration = failure_indicator_pd_penetration
SiC_failure_kernel_migration = failure_indicator_kernel_migration
failure_type = SIC_FAILURE_OVERALL
[]
[ipyc_cracking]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = IPYC_CRACKING
[]
[sic_failure_due_to_pressure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = SIC_FAILURE_DUE_TO_PRESSURE
[]
[sic_failure_due_to_ipyc_cracking]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
failure_type = SIC_FAILURE_DUE_TO_IPYC_CRACKING
[]
[debonding]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
IPyC_SiC_debonding = failure_indicator_debonding
SiC_failure_debonding = failure_indicator_SiC_debonding
failure_type = IPYC_SIC_DEBONDING
[]
[fluence_at_failure]
type = TRISOFailureOccurrenceStatus
failure_evaluation = ipyc_cracking
failure_information = max_fluence
[]
[weibull_failure_probability_IPyC]
type = WeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbability
block = SiC
weibull_modulus = 6
characteristic_strength = characteristic_strength
[]
[pd_penetration]
type = PdPenetration
boundary = SiC_inner_boundary
variable = temperature
execute_on = 'initial timestep_end'
[]
[failure_indicator_pd_penetration]
type = PdPenetrationFailureIndicator
triso_geometry = particle_geometry
pd_penetration = pd_penetration
[]
[kernel_migration_distance]
type = KernelMigrationDistance
block = 'fuel buffer IPyC SiC OPyC'
variable = temperature
temperature_gradient = 15000
kernel_type = UCO
[]
[failure_indicator_kernel_migration]
type = KernelMigrationFailureIndicator
kernel_migration_distance = kernel_migration_distance
triso_geometry = particle_geometry
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = false
exodus = false
perf_graph = true
print_linear_converged_reason = false
print_nonlinear_converged_reason = false
[]
(test/tests/triso_failure/higher_order_correlation.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.155 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 973.15 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.5 # Initial Oxygen to Uranium atom ratio
C_U = 0.4 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DFiveLayerMeshGenerator
elem_type = EDGE3
kernel_radius = 212.5e-6
buffer_thickness = 100e-6
IPyC_thickness = 41e-6
SiC_thickness = 34e-6
OPyC_thickness = 44e-6
kernel_mesh_density = 5
buffer_mesh_density = 3
IPyC_mesh_density = 5
SiC_mesh_density = 3
OPyC_mesh_density = 4
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
IPyC_thickness_mean = 40e-6
SiC_thickness_mean = 35e-6
OPyC_thickness_mean = 40e-6
[]
[triso_failure_terminator]
type = Terminator
expression = 'triso_failure > 0'
[]
[]
[Variables]
[temperature]
initial_condition = 973.15
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[power_history]
type = PiecewiseLinear
x = '0 76e6'
y = '1 1'
[]
[fission_rate]
type = LinearCombinationFunction
functions = power_history
w = 7.78e19
[]
[high_fidelity_strength_crackedIPyC]
type = PiecewiseLinear
x = '0 1.0e10'
y = '1.198892e9 1.198892e9'
[]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 6922 -2.359e8'
polynomial_coefficients_SiC = '1 -1.257e4 1.82e8'
polynomial_coefficients_OPyC = '1 -1.257e4 1.82e8'
correlation_factor = -1.1932
[]
[high_fidelity_strength_asphericity]
type = PiecewiseLinear
x = '0 1.0e10'
y = '0.993212e9 0.993212e9'
[]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -1.716e4 2.123e8'
polynomial_coefficients_SiC = '1 2.688e4 -1.414e7'
polynomial_coefficients_OPyC = '1 -1.716e4 2.123e8'
correlation_factor = 0.2923
[]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -1.664e4 1.929e8'
polynomial_coefficients_SiC = '1 2.625e4 -1.112e7'
polynomial_coefficients_OPyC = '1 -1.664e4 1.929e8'
correlation_factor = 0.5241
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = 973.15
boundary = exterior
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[tangential_stress]
type = RankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = HoopStress
property_name = tangential_stress
outputs = all
[]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
flux_function = power_history
factor = 1.16e18
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 11000
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 11000.0
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF]
type = BaconAnisotropyFactor
initial_BAF = 1.05
block = 'buffer IPyC OPyC'
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1900
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 1e+06
dtmax = 2e5
dtmin = 1e-4
[TimeStepper]
type = IterationAdaptiveDT
dt = 1
optimal_iterations = 10
linear_iteration_ratio = 100
[]
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = tangential_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
use_displaced_mesh = true
[]
[failure_indicator_SiC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_asphericity'
stress_correlation_function = 'stress_correlation_asphericity'
stress_change_correlation_function = 'stress_change_correlation_asphericity'
[]
[strength_IPyC]
type = WeibullEffectiveMeanStrength
block = IPyC
weibull_modulus = 9.5
use_displaced_mesh = true
[]
[failure_indicator_IPyC]
type = WeibullFailureOutputUsingCorrelation
block = IPyC
weibull_modulus = 9.5
stress_name = max_principal_stress
effective_mean_strength = strength_IPyC
[]
[failure_indicator_SiC_crackedIPyC]
type = WeibullFailureOutputUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[triso_failure]
type = TRISOFailureEvaluation
IPyC_failure = failure_indicator_IPyC
SiC_failure_crackedIPyC = failure_indicator_SiC_crackedIPyC
SiC_failure = failure_indicator_SiC
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = true
exodus = false
[]
(test/tests/triso/kernel_migration/kernel_migration_distance.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 1573 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[mesh]
type = TRISO1DMeshGenerator
elem_type = EDGE2
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
[]
[]
[Variables]
[temperature]
initial_condition = 1573
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = DirichletBC
variable = temperature
value = 1573
boundary = exterior
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-10
nl_abs_tol = 1e-9
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
num_steps = 10
dtmin = 1e-4
dt = 1e4
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress_max]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = stress_yy
[]
[SiC_stress_min]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[kernel_migration_distance]
type = KernelMigrationDistance
block = 'fuel buffer IPyC SiC OPyC'
variable = temperature
temperature_gradient = 15000
kernel_type = UO2
[]
[]
[Outputs]
show = 'kernel_migration_distance'
print_linear_residuals = false
time_step_interval = 1
csv = true
perf_graph = true
[]
(test/tests/triso/mesh/ipyc_crack.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RZ
[gen]
type = TRISO2DMeshGenerator
elem_type = quad4
coordinates = '0 2.1335e-4 3.1225e-4 3.1225e-4 3.5265e-4 3.8785e-4 4.3415e-4'
mesh_density = '3 3 0 3 4 3'
block_names = 'fuel buffer IPyC SiC OPyC'
num_sectors = 20
aspect_ratio = 1.0
all_bottom_left = true
[]
[]
[XFEM]
qrule = volfrac
output_cut_plane = true
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[ipyc_crack]
type = LineSegmentCutUserObject
cut_data = '0.0000 0.0 0.001 0.0'
time_start_cut = 0.0
time_end_cut = 0.0
block = IPyC
[]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
mesh_generator = 'gen'
[]
[]
[Variables]
[temperature]
initial_condition = 650
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
temperature = temperature
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = '2001 2002 2004 2005'
value = 0.0
[]
[freesurf_temp]
type = DirichletBC
variable = temperature
value = 650
boundary = exterior
[]
[Pressure]
[exterior]
boundary = exterior
factor = 0.1e6
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
triso_geometry = particle_geometry
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 1e-10
nl_abs_tol = 5e-11
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
num_steps = 2
dtmin = 1e-4
dt = 1e4
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = max
mat_prop = max_principal_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = true
perf_graph = true
exodus = true
[]
(test/tests/triso_failure/triso_1d_ipyc_weibull_probability.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '5 3 0 5 3 4'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
IPyC_thickness_mean = 40.4e-6
SiC_thickness_mean = 35.2e-6
OPyC_thickness_mean = 43.4e-6
[]
[]
[Variables]
[temperature]
initial_condition = 900
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[high_fidelity_strength_crackedIPyC]
type = ConstantFunction
value = '1363350801.3058'
[]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 7017 -2.368e8'
polynomial_coefficients_SiC = '1 1.492e4 -3.802e7'
polynomial_coefficients_OPyC = '1 -1.273e4 1.849e8'
correlation_factor = -1.1824630660785265
[]
[high_fidelity_strength_asphericity]
type = ConstantFunction
value = '1086690814.283'
[]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -2070 3.458e7'
polynomial_coefficients_SiC = '1 -868.9 -1.368e7'
polynomial_coefficients_OPyC = '1 1734 -1.988e7'
correlation_factor = 1.0626986695756293
[]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -856 1.593e7'
polynomial_coefficients_SiC = '1 1774 -5.253e7'
polynomial_coefficients_OPyC = '1 456.4 -1.459e7'
correlation_factor = 1.0113764663823708
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = DirichletBC
variable = temperature
value = 900
boundary = exterior
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 5e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[weibull_failure_probability_IPyC]
type = WeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_SiC_crackedIPyC]
type = WeibullFailureProbabilityUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbabilityUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_asphericity'
stress_correlation_function = 'stress_correlation_asphericity'
stress_change_correlation_function = 'stress_change_correlation_asphericity'
[]
[]
[Outputs]
show = 'weibull_failure_probability_IPyC weibull_failure_probability_SiC weibull_failure_probability_SiC_crackedIPyC'
print_linear_residuals = false
time_step_interval = 1
csv = true
exodus = false
perf_graph = false
print_linear_converged_reason = false
print_nonlinear_converged_reason = false
[]
(examples/TRISO/correlation_function/h_asphericity/triso_asphericity_mortar.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
aspect_ratio = 1.04
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RZ
[mesh]
type = TRISO2DMeshGenerator
elem_type = quad4
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
num_sectors = 60
aspect_ratio = ${aspect_ratio}
all_bottom_left = True
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
mesh_generator = mesh
block = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Variables]
[temperature]
initial_condition = 481
block = 'fuel buffer IPyC SiC OPyC'
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
block = 'fuel buffer IPyC SiC OPyC'
[]
[burnup]
order = CONSTANT
family = MONOMIAL
block = 'fuel buffer IPyC SiC OPyC'
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
block = 'fuel buffer IPyC SiC OPyC'
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
block = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
block = 'fuel buffer IPyC SiC OPyC'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
block = 'fuel buffer IPyC SiC OPyC'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
block = 'fuel buffer IPyC SiC OPyC'
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
block = 'fuel buffer IPyC SiC OPyC'
[]
[]
[ThermalContactMortar]
[thermal_contact]
secondary_variable = temperature
primary_boundary = IPyC_inner_boundary
secondary_boundary = buffer_outer_boundary
initial_moles = initial_moles # coupling to a postprocessor which supplies the initial plenum/gap gas mass
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
gap_geometry_type = sphere
sphere_origin = '0 0 0'
min_gap = 1e-7
max_gap = 50e-6
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[Pressure]
[exterior]
boundary = exterior
factor = 0.1e6
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
triso_geometry = particle_geometry
[]
[tangential_stress]
type = RankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = HoopStress
property_name = tangential_stress
outputs = all
block = 'fuel buffer IPyC SiC OPyC'
[]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 6e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
block = 'fuel buffer IPyC SiC OPyC'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementalVariableValue
elementid = 6300
variable = tangential_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = true
perf_graph = true
exodus = true
[]
(test/tests/triso_failure/ad_triso_1d_ipyc_weibull_probability.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '5 3 0 5 3 4'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
IPyC_thickness_mean = 40.4e-6
SiC_thickness_mean = 35.2e-6
OPyC_thickness_mean = 43.4e-6
[]
[]
[Variables]
[temperature]
initial_condition = 900
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[high_fidelity_strength_crackedIPyC]
type = ConstantFunction
value = '1363350801.3058'
[]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 7017 -2.368e8'
polynomial_coefficients_SiC = '1 1.492e4 -3.802e7'
polynomial_coefficients_OPyC = '1 -1.273e4 1.849e8'
correlation_factor = -1.1824630660785265
[]
[high_fidelity_strength_asphericity]
type = ConstantFunction
value = '1086690814.283'
[]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -2070 3.458e7'
polynomial_coefficients_SiC = '1 -868.9 -1.368e7'
polynomial_coefficients_OPyC = '1 1734 -1.988e7'
correlation_factor = 1.0626986695756293
[]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -856 1.593e7'
polynomial_coefficients_SiC = '1 1774 -5.253e7'
polynomial_coefficients_OPyC = '1 456.4 -1.459e7'
correlation_factor = 1.0113764663823708
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
use_automatic_differentiation = true
[]
[]
[Kernels]
[heat_ie]
type = ADHeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = ADHeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = ADNeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = ADMaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = ADMaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = ADMaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = ADMaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
use_automatic_differentiation = true
[]
[]
[BCs]
[no_disp_x]
type = ADDirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = ADDirichletBC
variable = temperature
value = 900
boundary = exterior
[]
[exterior_pressure_x]
type = ADPressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
use_automatic_differentiation = true
[]
[]
[]
[Materials]
[fission_rate]
type = ADGenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = ADFastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = ADTRISOBurnup
initial_density = 10966
block = fuel
[]
[UCO_thermal]
type = ADUCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = ADUCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ADComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = ADUCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ADComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = ADStrainAdjustedDensity
block = fuel
strain_free_density = 10966
[]
[fission_gas_release]
type = ADUCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = ADBaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = ADBaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = ADBufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = ADBufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = ADBufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = ADStrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = ADBufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = ADBufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = ADPyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = ADPyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = ADHeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = ADGenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[IPyC_IIDC]
type = ADPyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = ADPyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = ADMonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ADComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = ADMonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = ADStrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ADComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = ADPyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = ADPyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = ADHeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = ADGenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = ADPyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = ADPyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = ADGenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = ADPyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 5e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ADElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = ADVoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = ADVoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ADElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ADElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[weibull_failure_probability_IPyC]
type = ADWeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_SiC_crackedIPyC]
type = ADWeibullFailureProbabilityUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[weibull_failure_probability_SiC]
type = ADWeibullFailureProbabilityUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_asphericity'
stress_correlation_function = 'stress_correlation_asphericity'
stress_change_correlation_function = 'stress_change_correlation_asphericity'
[]
[]
[Outputs]
show = 'weibull_failure_probability_IPyC weibull_failure_probability_SiC weibull_failure_probability_SiC_crackedIPyC'
print_linear_residuals = false
time_step_interval = 1
csv = true
exodus = false
perf_graph = false
print_linear_converged_reason = false
print_nonlinear_converged_reason = false
[]
(examples/TRISO/correlation_function/h_asphericity/triso_asphericity.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
aspect_ratio = 1.04
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RZ
[mesh]
type = TRISO2DMeshGenerator
elem_type = quad4
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '20 8 0 4 4 4'
block_names = 'fuel buffer IPyC SiC OPyC'
num_sectors = 60
aspect_ratio = ${aspect_ratio}
all_bottom_left = True
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
mesh_generator = mesh
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
sphere_origin = '0 0 0'
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[no_disp_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[Pressure]
[exterior]
boundary = exterior
factor = 0.1e6
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[tangential_stress]
type = RankTwoCylindricalComponent
rank_two_tensor = stress
cylindrical_axis_point1 = '0 0 0'
cylindrical_axis_point2 = '0 0 1'
cylindrical_component = HoopStress
property_name = tangential_stress
outputs = all
[]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
triso_geometry = particle_geometry
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 6e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementalVariableValue
elementid = 6300
variable = tangential_stress
[]
[strength_SiC]
type = WeibullEffectiveMeanStrength
block = SiC
weibull_modulus = 6
[]
[]
[Outputs]
print_linear_residuals = false
time_step_interval = 1
csv = true
perf_graph = true
exodus = true
[]
(examples/TRISO/failure_probability_direct_integration/triso_1d.i)
kernel_radius = 213.35e-6
buffer_thickness = 98.9e-6
IPyC_thickness = 40.4e-6
SiC_thickness = 35.2e-6
OPyC_thickness = 43.4e-6
coordinates1 = '${fparse kernel_radius}'
coordinates2 = '${fparse coordinates1+buffer_thickness}'
coordinates3 = '${fparse coordinates2+IPyC_thickness}'
coordinates4 = '${fparse coordinates3+SiC_thickness}'
coordinates5 = '${fparse coordinates4+OPyC_thickness}'
initial_fuel_density = 10966
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x'
initial_enrichment = 0.14029 # [wt-]
flux_conversion_factor = 1.0 # convert E>0.10 to E>0.18 MeV
stress_free_temperature = 481 # used for thermal expansion
energy_per_fission = 3.204e-11 # [J/fission]
O_U = 1.428 # Initial Oxygen to Uranium atom ratio
C_U = 0.392 # Initial Carbon to Uranium atom ratio
[]
[Mesh]
coord_type = RSPHERICAL
[gen]
type = TRISO1DMeshGenerator
elem_type = EDGE3
coordinates = '0 ${coordinates1} ${coordinates2} ${coordinates2} ${coordinates3} ${coordinates4} ${coordinates5}'
mesh_density = '5 3 0 5 3 4'
block_names = 'fuel buffer IPyC SiC OPyC'
[]
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
[]
[UserObjects]
[particle_geometry]
type = TRISOGeometry
outer_OPyC = OPyC_outer_boundary
outer_SiC = SiC_outer_boundary
outer_IPyC = IPyC_outer_boundary
inner_IPyC = IPyC_inner_boundary
outer_buffer = buffer_outer_boundary
outer_kernel = fuel_outer_boundary
include_particle = true
include_pebble = false
IPyC_thickness_mean = 40.4e-6
SiC_thickness_mean = 35.2e-6
OPyC_thickness_mean = 43.4e-6
[]
[]
[Variables]
[temperature]
initial_condition = 481
[]
[]
[AuxVariables]
[fission_rate]
order = CONSTANT
family = MONOMIAL
[]
[burnup]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_flux]
order = CONSTANT
family = MONOMIAL
[]
[fast_neutron_fluence]
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[temp_bc]
type = PiecewiseLinear
data_file = outer_temp.csv
x_index_in_file = 0
y_index_in_file = 1
format = columns
[]
[fission_rate]
type = ConstantFunction
value = 5.75e19
[]
[high_fidelity_strength_crackedIPyC]
type = ConstantFunction
value = '1363350801.3058'
[]
[stress_correlation_crackedIPyC]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 7017 -2.368e8'
polynomial_coefficients_SiC = '1 1.492e4 -3.802e7'
polynomial_coefficients_OPyC = '1 -1.273e4 1.849e8'
correlation_factor = -1.1824630660785265
[]
[high_fidelity_strength_asphericity]
type = ConstantFunction
value = '1086690814.283'
[]
[stress_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -2070 3.458e7'
polynomial_coefficients_SiC = '1 -868.9 -1.368e7'
polynomial_coefficients_OPyC = '1 1734 -1.988e7'
correlation_factor = 1.0626986695756293
[]
[stress_change_correlation_asphericity]
type = TRISOStressCorrelationFunction
triso_geometry = particle_geometry
polynomial_coefficients_IPyC = '1 -856 1.593e7'
polynomial_coefficients_SiC = '1 1774 -5.253e7'
polynomial_coefficients_OPyC = '1 456.4 -1.459e7'
correlation_factor = 1.0113764663823708
[]
[]
[Physics/SolidMechanics/QuasiStatic]
generate_output = 'stress_xx stress_yy stress_zz strain_xx strain_yy strain_zz max_principal_stress'
add_variables = true
strain = FINITE
incremental = true
[fuel]
block = fuel
eigenstrain_names = 'UCO_swelling_eigenstrain UCO_TE_strain'
extra_vector_tags = 'ref'
[]
[buffer]
block = buffer
eigenstrain_names = 'Buffer_IIDC_strain Buffer_TE_strain'
extra_vector_tags = 'ref'
[]
[IPyC]
block = IPyC
eigenstrain_names = 'IPyC_IIDC_strain IPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[SiC]
block = SiC
eigenstrain_names = 'SiC_thermal_eigenstrain'
extra_vector_tags = 'ref'
[]
[OPyC]
block = OPyC
eigenstrain_names = 'OPyC_IIDC_strain OPyC_TE_strain'
extra_vector_tags = 'ref'
[]
[]
[Kernels]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temperature
extra_vector_tags = 'ref'
[]
[heat_source]
type = NeutronHeatSource
variable = temperature
block = fuel
fission_rate = fission_rate
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[fissionrate]
type = MaterialRealAux
variable = fission_rate
property = fission_rate
block = fuel
execute_on = timestep_begin
[]
[burnup]
type = MaterialRealAux
variable = burnup
property = burnup
block = fuel
execute_on = timestep_begin
[]
[fast_neutron_flux]
type = MaterialRealAux
variable = fast_neutron_flux
property = fast_neutron_flux
execute_on = timestep_begin
[]
[fast_neutron_fluence]
type = MaterialRealAux
variable = fast_neutron_fluence
property = fast_neutron_fluence
execute_on = timestep_begin
[]
[]
[ThermalContact]
[thermal_contact]
type = GasGapHeatTransfer
variable = temperature
primary = IPyC_inner_boundary
secondary = buffer_outer_boundary
initial_moles = initial_moles
gas_released = 'fis_gas_released'
released_gas_types = 'Kr Xe'
released_fractions = '0.185 0.815'
tangential_tolerance = 1e-6
quadrature = false
min_gap = 1e-7
max_gap = 50e-6
gap_geometry_type = sphere
[]
[]
[BCs]
[no_disp_x]
type = DirichletBC
variable = disp_x
boundary = xzero
value = 0.0
[]
[freesurf_temp]
type = FunctionDirichletBC
variable = temperature
function = temp_bc
boundary = exterior
[]
[exterior_pressure_x]
type = Pressure
variable = disp_x
boundary = exterior
factor = 0.1e6
[]
[PlenumPressure]
[plenumPressure]
boundary = buffer_IPyC_boundary
startup_time = 1e4
initial_pressure = 0
R = 8.3145
output_initial_moles = initial_moles
temperature = ave_gas_temp
volume = 'gap_volume buffer_void_volume kernel_void_volume'
material_input = 'fis_gas_released'
output = gas_pressure
[]
[]
[]
[Materials]
[fission_rate]
type = GenericFunctionMaterial
prop_names = fission_rate
prop_values = fission_rate
block = fuel
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
factor = 6.2425e+17
[]
[UCO_burnup]
type = TRISOBurnup
initial_density = ${initial_fuel_density}
block = fuel
[]
[UCO_thermal]
type = UCOThermal
block = fuel
temperature = temperature
[]
[UCO_elasticity_tensor]
type = UCOElasticityTensor
block = fuel
temperature = temperature
[]
[UCO_stress]
type = ComputeFiniteStrainElasticStress
block = fuel
[]
[UCO_VolumetricSwellingEigenstrain]
type = UCOVolumetricSwellingEigenstrain
block = fuel
eigenstrain_name = UCO_swelling_eigenstrain
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 10.0e-6
temperature = temperature
eigenstrain_name = UCO_TE_strain
[]
[UCO_density]
type = StrainAdjustedDensity
block = fuel
strain_free_density = ${initial_fuel_density}
[]
[fission_gas_release]
type = UCOFGR
block = fuel
average_grain_radius = 10e-6
temperature = temperature
triso_geometry = particle_geometry
cutoff_neutron_flux = 0.0
[]
[normal_vectors_triso]
type = NormalVectorsTRISO
block = 'buffer IPyC OPyC'
[]
[BAF_IPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0465
block = IPyC
[]
[BAF_OPyC]
type = BaconAnisotropyFactor
initial_BAF = 1.0429
block = OPyC
[]
[buffer_elasticity_tensor]
type = BufferElasticityTensor
block = buffer
temperature = temperature
[]
[buffer_stress]
type = BufferCEGACreep
block = buffer
temperature = temperature
[]
[buffer_thermal]
type = BufferThermal
block = buffer
initial_density = 1050.0
[]
[buffer_density]
type = StrainAdjustedDensity
block = buffer
strain_free_density = 1050.0
[]
[buffer_TE]
type = BufferThermalExpansionEigenstrain
block = buffer
eigenstrain_name = Buffer_TE_strain
temperature = temperature
[]
[buffer_IIDC]
type = BufferCEGAIrradiationEigenstrain
block = buffer
eigenstrain_name = Buffer_IIDC_strain
temperature = temperature
[]
[IPyC_elasticity_tensor]
type = PyCElasticityTensor
block = IPyC
temperature = temperature
[]
[IPyC_stress]
type = PyCCEGACreep
block = IPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[IPyC_thermal]
type = HeatConductionMaterial
block = IPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[IPyC_density]
type = GenericConstantMaterial
block = IPyC
prop_names = 'density'
prop_values = 1890
[]
[IPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = IPyC
eigenstrain_name = IPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[IPyC_TE]
type = PyCThermalExpansionEigenstrain
block = IPyC
eigenstrain_name = IPyC_TE_strain
temperature = temperature
[]
[SiC_elasticity_tensor]
type = MonolithicSiCElasticityTensor
block = SiC
temperature = temperature
elastic_modulus_model = miller
[]
[SiC_stress]
type = ComputeFiniteStrainElasticStress
block = SiC
[]
[SiC_thermal]
type = MonolithicSiCThermal
block = SiC
temperature = temperature
thermal_conductivity_model = miller
[]
[SiC_density]
type = StrainAdjustedDensity
block = SiC
strain_free_density = 3200.0
[]
[SiC_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = SiC
thermal_expansion_coeff = 4.9e-6
temperature = temperature
eigenstrain_name = SiC_thermal_eigenstrain
[]
[OPyC_elasticity_tensor]
type = PyCElasticityTensor
block = OPyC
temperature = temperature
initial_BAF = 1.0
[]
[OPyC_stress]
type = PyCCEGACreep
block = OPyC
creep_rate_scale_factor = 1
temperature = temperature
[]
[OPyC_thermal_conductivity]
type = HeatConductionMaterial
block = OPyC
thermal_conductivity = 4.0
specific_heat = 720.0
[]
[OPyC_density]
type = GenericConstantMaterial
block = OPyC
prop_names = 'density'
prop_values = 1900
[]
[OPyC_IIDC]
type = PyCCEGAIrradiationEigenstrain
block = OPyC
eigenstrain_name = OPyC_IIDC_strain
temperature = temperature
irradiation_eigenstrain_scale_factor = 1
[]
[OPyC_TE]
type = PyCThermalExpansionEigenstrain
block = OPyC
eigenstrain_name = OPyC_TE_strain
temperature = temperature
[]
[characteristic_strength_SiC]
type = GenericConstantMaterial
prop_values = '9640000'
block = SiC
prop_names = 'characteristic_strength'
[]
[characteristic_strength_PyC]
type = PyCCharacteristicStrength
temperature = temperature
X = 1.02
block = 'IPyC OPyC'
[]
[]
[Dampers]
[temp]
type = MaxIncrement
variable = temperature
max_increment = 100
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = 'none'
nl_rel_tol = 5e-6
nl_abs_tol = 1e-8
nl_max_its = 20
l_tol = 1e-4
l_max_its = 50
#num_steps = 1
start_time = 0.0
end_time = 4.831315e7
dtmin = 1e-4
dt = 5e5
[]
[Postprocessors]
[ave_gas_temp]
type = ElementAverageValue
block = buffer
variable = temperature
execute_on = 'initial timestep_end'
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_released
block = fuel
use_displaced_mesh = false
execute_on = 'initial timestep_end'
[]
[gap_volume]
type = InternalVolume
boundary = buffer_IPyC_boundary
execute_on = 'initial linear'
use_displaced_mesh = true
[]
[buffer_void_volume]
type = VoidVolume
block = buffer
theoretical_density = 2250
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[kernel_th_density]
type = UCOTheoreticalDensity
execute_on = initial
[]
[kernel_void_volume]
type = VoidVolume
block = fuel
theoretical_density = kernel_th_density
execute_on = 'initial timestep_end'
use_displaced_mesh = true
[]
[particle_power]
type = ElementIntegralPower
variable = temperature
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
execute_on = 'initial timestep_end'
[]
[max_fluence]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[max_burnup]
type = ElementExtremeValue
variable = burnup
block = fuel
value_type = 'max'
execute_on = 'initial timestep_end'
[]
[SiC_stress]
type = ElementExtremeMaterialProperty
block = SiC
value_type = min
mat_prop = stress_yy
[]
[weibull_failure_probability_IPyC]
type = WeibullFailureProbability
block = IPyC
weibull_modulus = 9.5
characteristic_strength = characteristic_strength
[]
[weibull_failure_probability_SiC_crackedIPyC]
type = WeibullFailureProbabilityUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_crackedIPyC'
stress_correlation_function = 'stress_correlation_crackedIPyC'
[]
[weibull_failure_probability_SiC]
type = WeibullFailureProbabilityUsingCorrelation
block = SiC
weibull_modulus = 6
stress_name = stress_yy
high_fidelity_analysis_strength = 'high_fidelity_strength_asphericity'
stress_correlation_function = 'stress_correlation_asphericity'
stress_change_correlation_function = 'stress_change_correlation_asphericity'
[]
[]
[Outputs]
show = 'weibull_failure_probability_IPyC weibull_failure_probability_SiC weibull_failure_probability_SiC_crackedIPyC'
print_linear_residuals = false
time_step_interval = 1
csv = false
exodus = false
perf_graph = true
print_linear_converged_reason = false
print_nonlinear_converged_reason = false
[]