- temperatureCoupled temperature
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Coupled temperature
HT9ElasticityTensor
Computes the Young's modulus and Poisson's ratio for HT9 cladding as a function of temperature and formulates the elasticity tensor.
Description
The HT9ElasticityTensor material model computes the elasticity tensor for HT9 using temperature-dependent values for the Young's modulus and Poission's ratio as reported by LANL (2014). The Young's modulus, , is computed in units of GPa as: (1) where is the temperature in K.
The Poisson's ratio, , is given by: (2) where is the shear modulus in GPa, (3)
Example Input Syntax
[Materials<<<{"href": "../../../syntax/Materials/index.html"}>>>]
[mechHT9]
type = HT9ElasticityTensor<<<{"description": "Computes the Young's modulus and Poisson's ratio for HT9 cladding as a function of temperature and formulates the elasticity tensor.", "href": "HT9ElasticityTensor.html"}>>>
temperature<<<{"description": "Coupled temperature"}>>> = temperature
[]
[]Input Parameters
- base_nameOptional parameter that allows the user to define multiple mechanics material systems on the same block, i.e. for multiple phases
C++ Type:std::string
Controllable:No
Description:Optional parameter that allows the user to define multiple mechanics material systems on the same block, i.e. for multiple phases
- 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.
- elasticity_tensor_prefactorOptional function to use as a scalar prefactor on the elasticity tensor.
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:No
Description:Optional function to use as a scalar prefactor on the elasticity tensor.
- id_wastage_degradation_functionThe optional ID wastage degradation function that takes FCCI effect on cladding into consideration.
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:No
Description:The optional ID wastage degradation function that takes FCCI effect on cladding into consideration.
- od_wastage_degradation_functionThe optional OD wastage degradation function that takes CCCI effect on cladding into consideration.
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:No
Description:The optional OD wastage degradation function that takes CCCI effect on cladding into consideration.
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
- (test/tests/solid_mechanics/ht9_elasticity_tensor/exact.i)
- (assessment/metallic_fuel/WPF/analysis/FM-1/FM_base.i)
- (test/tests/solid_mechanics/ht9_elasticity_tensor/ad.i)
- (test/tests/solid_mechanics/ht9_mechanics/temp_only.i)
- (test/tests/metallic_fuel_wastage_damage/coupledHT9.i)
- (test/tests/solid_mechanics/ht9_mechanics/mech_only.i)
- (test/tests/metallic_fuel_wastage_damage/exact.i)
- (assessment/metallic_fuel/EBRII/X430/analysis/template.i)
- (assessment/metallic_fuel/EBRII/X447/analysis/enhancement/x447_enh_base.i)
- (test/tests/solid_mechanics/ht9_mechanics/mech_only_temp_ramp.i)
- (assessment/metallic_fuel/WPF/analysis/X425_T418/X425_base.i)
- (assessment/metallic_fuel/FBTA/analysis/steady_state/common_inputs/ht9_clad_base.i)
- (assessment/metallic_fuel/EBRII/X447/analysis/legacy/x447_base.i)
- (test/tests/solid_mechanics/ht9_elasticity_tensor/nonad.i)
- (test/tests/solid_mechanics/ht9_mechanics/mechanical_ht9_test.i)
References
- LANL.
AFCI materials handbook, materials data for particle accelerator applications, chapter 18 - design properties of HT9 and russian ferritic/martensitic steels, rev 6.
Technical Report LA-CP-14-20070, LANL, September 2014.[BibTeX]
@techreport{LANL:2014wz, author = "LANL", title = "{AFCI} Materials Handbook, Materials Data for Particle Accelerator Applications, Chapter 18 - Design Properties of {HT9} and Russian Ferritic/Martensitic Steels, Rev 6", institution = "LANL", year = "2014", number = "LA-CP-14-20070", month = "September" }
(test/tests/solid_mechanics/ht9_mechanics/mechanical_ht9_test.i)
#--------------------------------------------------------------------------------
#
# This regression test is designed to test the calculation of the elastic
# modulus and thermal expansion of HT9 over a range of temperatures with
# an applied axial stress. The temperature range goes from the reference
# temperature of 282.265K to 582.265K.
#
# - Geometry:
# Ri = 0.005 m
# Ro = 0.0055 m
# H = 0.01 m
#
# - Single element
#
# - Temperature = 282.265K to 582.265K
#
# - Boundary conditions:
# axial stress = -100 MPa at the top
#
# - Result (Hand calc.):
# Temp(K) Strain_xx Strain_yy Disp_x Disp_y
# 312.265 9.410552E-05 -4.771711E-04 2.137766E-06 -1.826509E-06
# 342.265 9.774519E-05 -4.842622E-04 3.834878E-06 1.150068E-06
# 372.265 1.015818E-04 -4.915671E-04 5.587766E-06 4.223820E-06
# 402.265 1.056295E-04 -4.990958E-04 7.394262E-06 7.390560E-06
# 432.265 1.099038E-04 -5.068587E-04 9.252206E-06 1.064610E-05
# 462.265 1.144219E-04 -5.148670E-04 1.115944E-05 1.398622E-05
# 492.265 1.192021E-04 -5.231323E-04 1.311382E-05 1.740672E-05
# 522.265 1.242650E-04 -5.316674E-04 1.511321E-05 2.090337E-05
# 552.265 1.296329E-04 -5.404855E-04 1.715547E-05 2.447194E-05
# 582.265 1.353306E-04 -5.496011E-04 1.923849E-05 2.810815E-05
#
# Computations in ht9_mech_therm_props.xlsx
#
#--------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = clad_rz_short_rev3.e
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[temperature]
initial_condition = 282.265
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = FINITE
add_variables = true
eigenstrain_names = 'thermal_expansion'
generate_output = 'stress_xx stress_yy elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
temperature = temperature
[]
[]
[Functions]
[temperature_function]
type = PiecewiseLinear
x = '0 10'
y = '282.265 582.265'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
density_name = 7874
[]
[]
[BCs]
[Pressure]
[top_surface]
boundary = 2
factor = 100e6
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 4
value = 0.0
[]
[temp_bc_1]
type = FunctionDirichletBC
variable = temperature
boundary = '1 2 3 4'
function = temperature_function
[]
[]
[Materials]
[mechHT9]
type = HT9ElasticityTensor
temperature = temperature
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[thermal_expansion]
type = HT9ThermalExpansionEigenstrain
temperature = temperature
stress_free_temperature = 282.265
eigenstrain_name = thermal_expansion
[]
[thermal]
type = HT9Thermal
temperature = temperature
[]
[]
[Executioner]
type = Transient
line_search = 'none'
nl_rel_tol = 1e-8
end_time = 10
[]
[Postprocessors]
[disp_x3]
type = NodalVariableValue
nodeid = 2
variable = disp_x
[]
[disp_x2]
type = NodalVariableValue
nodeid = 1
variable = disp_x
[]
[disp_y3]
type = NodalVariableValue
nodeid = 2
variable = disp_y
[]
[disp_y4]
type = NodalVariableValue
nodeid = 3
variable = disp_y
[]
[avg_stress_xx]
type = ElementAverageValue
variable = stress_xx
[]
[avg_stress_yy]
type = ElementAverageValue
variable = stress_yy
[]
[avg_strain_xx]
type = ElementAverageValue
variable = elastic_strain_xx
[]
[avg_strain_yy]
type = ElementAverageValue
variable = elastic_strain_yy
[]
[tot_strain_xx]
type = ElementAverageValue
variable = strain_xx
[]
[tot_strain_yy]
type = ElementAverageValue
variable = strain_yy
[]
[tot_strain_zz]
type = ElementAverageValue
variable = strain_zz
[]
[]
[Outputs]
[out]
type = Exodus
[]
[]
(test/tests/solid_mechanics/ht9_elasticity_tensor/exact.i)
# This tests the formation of the HT9ElasticityTensor due to changing temperature.
[Problem]
solve = false
[]
[Mesh]
[mesh]
type = GeneratedMeshGenerator
dim = 1
[]
[]
[AuxVariables]
[temp]
[]
[]
[Functions]
[temp_ramp]
type = PiecewiseLinear
x = '0 10'
y = '300 900'
[]
[]
[AuxKernels]
[temp_aux]
type = FunctionAux
variable = temp
function = temp_ramp
[]
[]
[Materials]
[elasticity_tensor]
type = HT9ElasticityTensor
temperature = temp
output_properties = 'youngs_modulus poissons_ratio'
outputs = all
[]
[]
[Executioner]
type = Transient
num_steps = 10
[]
[Postprocessors]
[temp]
type = ElementAverageValue
variable = temp
[]
[youngs_avg]
type = ElementAverageValue
variable = youngs_modulus
[]
[youngs_exact]
type = ParsedPostprocessor
pp_names = temp
expression = '2.4151e+11 - 1.0229e+08 * temp'
outputs = none
[]
[youngs_diff]
type = ParsedPostprocessor
pp_names = 'youngs_exact youngs_avg'
expression = '(youngs_exact - youngs_avg) / youngs_exact'
outputs = none
[]
[youngs_max_diff]
type = TimeExtremeValue
postprocessor = youngs_diff
value_type = abs_max
[]
[poissons_avg]
type = ElementAverageValue
variable = poissons_ratio
[]
[poissons_exact]
type = ParsedPostprocessor
pp_names = temp
expression = 'youngs:= 2.4151e+11 - 1.0229e+08 * temp;
shear:= 1.0432e+11 - 5.3790e+07 * temp;
youngs / 2.0 / shear - 1.0'
outputs = none
[]
[poissons_diff]
type = ParsedPostprocessor
pp_names = 'poissons_exact poissons_avg'
expression = '(poissons_exact - poissons_avg) / poissons_exact'
outputs = none
[]
[poissons_max_diff]
type = TimeExtremeValue
postprocessor = poissons_diff
value_type = abs_max
[]
[]
[Outputs]
csv = true
[]
(assessment/metallic_fuel/WPF/analysis/FM-1/FM_base.i)
# FM-1 Base Input File
gap_bottom_length = 0.31e-3
top_bot_cladding_height = 2.24e-3
# calculations
cladding_ir = '${fparse fuel_radius + cladding_gap_width}'
gas_plenum_height = '${fparse plenum_volume / pi / cladding_ir^2}'
fuel_y_start = '${fparse gap_bottom_length + top_bot_cladding_height}'
alpha_start = 877
alpha_end = 936
bubble_concentration = 1e15
cladding_block = 'cladding cladding_tri'
y_tc1 = '${fparse 2.55e-3+22.0*0.0254}'
y_tc2 = '${fparse y_tc1-4.5*0.0254}'
y_tc3 = '${fparse y_tc2-3.5*0.0254}'
y_tc4 = '${fparse y_tc3-2.0*0.0254}'
y_tc5 = '${fparse y_tc4-3.0*0.0254}'
y_tc6 = '${fparse y_tc1-4.0*0.0254}'
x_tc = 0.002920
p_tc1 = '${x_tc} ${y_tc1} 0.0'
p_tc2 = '${x_tc} ${y_tc2} 0.0'
p_tc3 = '${x_tc} ${y_tc3} 0.0'
p_tc4 = '${x_tc} ${y_tc4} 0.0'
p_tc5 = '${x_tc} ${y_tc5} 0.0'
p_tc6 = '${x_tc} ${y_tc6} 0.0'
# A relatively coarse radial mesh density can be used
# since localized refining is done by TRI3 elements
clad_n_rad = 10
[GlobalParams]
order = FIRST
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
alpha_transition_end = ${alpha_end}
alpha_transition_start = ${alpha_start}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
# Pin design parameters from FIPD database
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} / ${pin_id} _design.csv'}
gap_bottom_length = 0.31e-3 # arbitrary
cladding_bottom_plug_length = 2.24e-3 # arbitrary
cladding_top_plug_length = 2.24e-3 # arbitrary
cladding_sidewall_radial_elements = ${clad_n_rad}
cladding_sidewall_axial_element_intervals = '0 0.540 0.625 1.0'
cladding_sidewall_axial_element_numbers = '150 1000 150'
use_tri_for_cladding_sidewall = '0 1 0'
cladding_top_plug_radial_elements = 10
cladding_top_plug_axial_elements = 5
cladding_bottom_plug_axial_elements = 5
fuel_radial_elements = 10
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '1000'
tri_element_size_factor = 0.4
elem_type = QUAD4
make_stand = true
make_cap = true
cap_axial_elements = 15
stand_axial_elements = 15
[]
[sodium_height]
type = SideSetsFromBoundingBoxGenerator
input = gen
bottom_left = '0 0 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${fparse fuel_y_start + fuel_height} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1005'
[]
[gas_height]
type = SideSetsFromBoundingBoxGenerator
input = sodium_height
bottom_left = '0 ${fparse fuel_y_start + fuel_height} 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${fparse fuel_y_start + fuel_height + gas_plenum_height + top_bot_cladding_height} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1006'
[]
[sodium_plenum_rename]
type = RenameBoundaryGenerator
input = gas_height
old_boundary = '1005 1006'
new_boundary = 'sodium_height gas_height'
[]
patch_size = 40
patch_update_strategy = always
partitioner = centroid
centroid_partitioner_direction = y
coord_type = RZ
[]
[Variables]
[temp]
initial_condition = 298
block = 'fuel ${cladding_block} cap stand'
[]
[disp_x]
block = 'fuel ${cladding_block} cap stand'
[]
[disp_y]
block = 'fuel ${cladding_block} cap stand'
[]
[]
[Functions]
[fflux_axial_peaking_factors]
type = ConstantFunction
value = 0.0
[]
[fflux_axial_peaking_factors_elongate]
type = ConstantFunction
value = 0.0
[]
[flux_history] # Time-dependent pin average fast flux from FIPD database
type = ConstantFunction
value = 0.0
[]
[clad_od_temp]
type = PiecewiseBilinear
data_file = './data/temp_hist.csv'
xaxis = 1
[]
[ab_sodium_vol]
type = MeshPropertyFunction
mesh_generator = gen
mesh_property_name = sodium_volume
scale_factor = -1.0
[]
[sodium_volume]
# Need to account for the factor that hot pressing is also occupying the open pores
type = ParsedFunction
symbol_names = 'porosity_sodium_logging_avg volume_fuel raw_sodium_vol temp_sodium_avg'
symbol_values = 'porosity_sodium_logging_avg volume_fuel ab_sodium_vol temp_sodium_avg'
# Note the the symbol before volume_fuel should be negative as volume_fuel itself is negative
expression = 'raw_sodium_vol * 954 / (1012 - 0.23 * temp_sodium_avg) - volume_fuel * porosity_sodium_logging_avg'
[]
[power_history]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors]
type = ConstantFunction
value = 0.0
[]
[axial_peaking_factors_extended]
type = ConstantFunction
value = 0.0
[]
[anisotropic_swelling_factor]
type = ParsedFunction
symbol_names = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg fuel_height fuel_radius'
symbol_values = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg ${fuel_height} ${fuel_radius}'
expression = '(disp_x_fuel_radial_surface_avg / ${fuel_radius}) / (disp_y_fuel_top_surface_avg / ${fuel_height})'
[]
[gap_thermal_conductivity]
type = ParsedFunction
expression = '124.67 - 0.11381 * t + 5.5226e-5 * t^2 - 1.1842e-8 * t^3'
[]
[id_vpp_func] # vpp_function used to track FCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = id_pen_total
argument_column = y
wastage_type = ID
value_column = total_id_reduction
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[od_vpp_func] # vpp_function used to track CCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = od_wastage
argument_column = y
wastage_type = OD
value_column = cc_wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[fuel_melt_func]
type = MetallicFuelMeltingFunction
vectorpostprocessor_name = fuel_melting
argument_column = y
value_column = fuel_melting_thickness
use_metadata = true
mesh_generator = 'gen'
transition_width = 2e-4
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = fuel
strain = FINITE
generate_output = 'firstinv_strain stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
eigenstrain_names = 'fuel_thermal_strain solid_swelling_eigenstrain'
use_automatic_differentiation = true
volumetric_locking_correction = true
[]
[cladding]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = '${cladding_block}'
eigenstrain_names = 'cladding_thermal_eigenstrain'
use_automatic_differentiation = true
volumetric_locking_correction = true
[]
[]
[Kernels]
[gravity]
type = ADGravity
block = 'fuel ${cladding_block}'
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = ADHeatConduction
block = 'fuel ${cladding_block} cap stand'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
block = 'fuel ${cladding_block} cap stand'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = ADFissionRateHeatSource
variable = temp
block = 'fuel'
fission_rate = fission_rate
extra_vector_tags = 'ref'
energy_deposited_in_fuel = 0.95
[]
[disp_x_dt]
type = ADTimeDerivative
variable = disp_x
block = ' cap stand'
extra_vector_tags = 'ref'
[]
[disp_y_dt]
type = ADTimeDerivative
variable = disp_y
block = 'cap stand'
extra_vector_tags = 'ref'
[]
[disp_x_diff]
type = ADMatAnisoDiffusion
variable = disp_x
block = 'cap stand'
diffusivity = d_x
extra_vector_tags = 'ref'
[]
[disp_y_diff]
type = ADMatDiffusion
variable = disp_y
block = 'cap stand'
diffusivity = 1e8
extra_vector_tags = 'ref'
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_bottom = cladding_outside_bottom
clad_inner_wall = cladding_inside_right
clad_outer_wall = cladding_outside_right
clad_top = cladding_outside_top
pellet_exteriors = fuel_outside_all
[]
[fuel_thm_exp]
type = LayeredAverage
variable = fuel_thermal_strain_xx
direction = y
num_layers = 1000
block = fuel
[]
[clad_thm_exp]
type = LayeredAverage
variable = clad_thermal_eigenstrain_xx
direction = y
num_layers = 1000
block = ${cladding_block}
[]
[]
[Contact]
[fuel_cladding_mechanical]
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
model = coulomb
friction_coefficient = 0.1
formulation = mortar
c_normal = '${fparse 1e17 * magic_factor}'
c_tangential = '${fparse 1e19 * magic_factor}'
correct_edge_dropping = true
[]
[]
[MortarGapHeatTransfer]
[inside2outside]
temperature = temp
boundary = 'cladding_inside_right'
gap_conductivity_function = gap_thermal_conductivity
gap_conductivity_function_variable = temp
primary_boundary = cladding_inside_right
secondary_boundary = fuel_contact_surfaces
gap_flux_options = 'CONDUCTION'
ghost_point_neighbors = true
[]
[]
[BCs]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = 'centerline cap_top'
value = 0.0
preset = false
[]
[no_y_clad]
type = ADDirichletBC
variable = disp_y
boundary = 'cladding_inside_bottom'
value = 0.0
preset = false
[]
[Pressure]
[coolantPressure]
boundary = 'cladding_outside_right'
factor = 1378.95 # in Pa, 0.2 psia as measured by transducer
use_automatic_differentiation = true
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 'inside_surfaces'
initial_pressure = 84116 # in Pa, 12.2 psi
startup_time = 0
R = 8.3143
temperature = temp_gas_avg
volume = volume_plenum
output = plenum_pressure
material_input = fg_released
use_automatic_differentiation = true
[]
[]
[surf] # Setting temperature BC base on FIPD data
type = ADFunctionDirichletBC
variable = temp
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = clad_od_temp
[]
[]
[AuxVariables]
[dummy_hoop_stress]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[relx]
[]
[clad_thm_exp]
order = CONSTANT
family = MONOMIAL
block = '${cladding_block}'
[]
[clad_thermal_eigenstrain_xx]
order = CONSTANT
family = MONOMIAL
block = '${cladding_block}'
[]
[fuel_thermal_strain_xx]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thermal_strain_yy]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thm_exp]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[func_val1]
[]
[func_val2]
[]
[func_val3]
[]
# OPTD Active during this stage
[pen_thick_aux]
family = MONOMIAL
order = CONSTANT
block = 'fuel ${cladding_block}'
[]
[total_id_reduction]
family = MONOMIAL
order = CONSTANT
block = 'fuel ${cladding_block}'
[]
[fast_neutron_fluence_aux]
order = CONSTANT
family = MONOMIAL
block = '${cladding_block}'
[]
[]
[AuxKernels]
[func_val1]
type = FunctionAux
function = id_vpp_func
variable = func_val1
block = 'cladding cladding_tri'
[]
[func_val2]
type = FunctionAux
function = od_vpp_func
variable = func_val2
block = 'cladding cladding_tri'
[]
[func_val3]
type = FunctionAux
function = fuel_melt_func
variable = func_val3
block = fuel
[]
[cdf_amount]
block = '${cladding_block}'
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[relx_aux]
type = ParsedAux
variable = relx
block = fuel
use_xyzt = true
expression = 'x / ${fuel_radius}'
[]
[clad_thm_exp]
type = SpatialUserObjectAux
variable = clad_thm_exp
execute_on = 'initial timestep_end'
user_object = clad_thm_exp
block = '${cladding_block}'
[]
[clad_thermal_eigenstrain_xx]
type = ADRankTwoAux
rank_two_tensor = cladding_thermal_eigenstrain
variable = clad_thermal_eigenstrain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = '${cladding_block}'
[]
[fuel_thermal_strain_xx]
type = ADRankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thermal_strain_yy]
type = ADRankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_yy
index_j = 1
index_i = 1
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thm_exp]
type = SpatialUserObjectAux
variable = fuel_thm_exp
execute_on = 'initial timestep_end'
user_object = fuel_thm_exp
block = fuel
[]
#OPTD
[assign_pen_thick_aux]
type = ADMaterialRealAux
variable = pen_thick_aux
property = liquid_penetration
block = 'fuel ${cladding_block}'
[]
[assign_total_id_reduction]
type = ParsedAux
variable = total_id_reduction
coupled_variables = 'pen_thick_aux wastage_thickness'
expression = 'pen_thick_aux + wastage_thickness'
block = 'fuel ${cladding_block}'
[]
[]
[Materials]
[fuel_pen]
type = ADMetallicFuelLiquidCladdingPenetration
temperature = temp
mesh_generator = gen
fuel_elongation_pp = max_fuel_elongation
liquid_penetration_model = 'ANL_CONSERVATIVE'
fuel_pu = Pu_0
burnup = burnup
outputs = all
calculate_fuel_melting_thickness = true
block = 'fuel ${cladding_block}'
[]
[longHT9_failure]
type = HT9FailureClad
block = '${cladding_block}'
method = cdf_long
temperature = temp
outputs = all
hoop_stress = stress_zz # Since 2D-RZ
[]
[d_x]
type = ADConstantAnisotropicMobility
tensor = '1e3 0 0
0 1e6 0
0 0 0'
M_name = d_x
[]
[cap_thcond]
type = ADGenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '65 1200 830'
block = 'cap stand'
outputs = all
[]
[interconnected_porosity]
type = ADParsedMaterial
block = 'fuel'
property_name = interconnected_porosity
material_property_names = 'porosity interconnectivity'
expression = 'porosity * interconnectivity'
outputs = all
[]
[fission_rate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${fuel_radius}
X_Zr = ${initial_X_Zr}
X_Pu_function = ${X_Pu}
block = 'fuel'
outputs = all
[]
[fission_rate_elongate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors_extended
pellet_radius = ${fuel_radius}
X_Zr = ${initial_X_Zr}
X_Pu_function = ${X_Pu}
block = '${cladding_block}'
outputs = all
fission_rate_name = fission_rate
[]
[burnup]
type = ADUPuZrBurnup
initial_X_Zr = ${initial_X_Zr}
initial_X_Pu = ${X_Pu}
density = ${fuel_density}
block = 'fuel'
outputs = all
[]
[burnup_elongate]
type = ADUPuZrBurnup
initial_X_Pu = ${X_Pu}
initial_X_Zr = ${initial_X_Zr}
outputs = all
block = '${cladding_block}'
density = ${fuel_density}
burnup_name = burnup
[]
[fuel_elastic_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'hotpress fuel_upuzrcreep gas_swelling'
block = 'fuel'
outputs = all
[]
[hotpress]
type = ADUPuZrHotPressingStressUpdate
block = 'fuel'
outputs = all
surface_energy = 1.6
plenum_pressure = plenum_pressure
porosity_name = porosity
max_inelastic_increment = 1e-1
interconnectivity = interconnectivity
bubble_concentration = ${bubble_concentration}
temperature = temp
creep_model = MFH
fission_rate = fission_rate
atomic_volume = 2.15e-29
porosity_start = 0.01
porosity_end = 0
grain_boundary_D0 = 4e-29
grain_boundary_Q = 0
absolute_tolerance = 1e-9
[]
[porosity]
type = ADPorosityFromStrain
block = 'fuel'
initial_porosity = 1e-10
inelastic_strain = 'combined_inelastic_strain'
outputs = all
[]
[fuel_elasticity_tensor]
type = ADUPuZrElasticityTensor
X_Zr = ${initial_X_Zr}
X_Pu = ${X_Pu}
youngs_model = LANL
block = 'fuel'
temperature = temp
use_old_porosity = true
outputs = all
output_properties = 'youngs_modulus poissons_ratio'
[]
[fuel_upuzrcreep]
type = ADUPuZrCreepUpdate
block = 'fuel'
temperature = temp
porosity = porosity
use_old_porosity = true
max_inelastic_increment = 1e-1
outputs = all
automatic_differentiation_return_mapping = false
[]
[fuel_thermal_expansion]
type = ADUPuZrThermalExpansionEigenstrain
block = 'fuel'
temperature = temp
stress_free_temperature = 298.0
eigenstrain_name = fuel_thermal_strain
outputs = all
thermal_expansion_model = LANL
X_Zr = ${initial_X_Zr}
X_Pu = ${X_Pu}
[]
[gas_swelling]
type = ADSimpleFissionGasViscoplasticityStressUpdate
temperature = temp
outputs = all
block = 'fuel'
bubble_concentration = ${bubble_concentration}
initial_bubble_concentration = ${bubble_concentration}
compute_interconnectivity = true
fission_gas_yield = 0.3017
fission_rate = fission_rate
initial_atoms_per_bubble = 1e-05
initial_bubble_radius = 1e-15
initial_fgm_dissolved = 0
interconnection_cutoff = 0.99
interconnection_initiating_porosity = 0.23
interconnection_terminating_porosity = 0.25
max_inelastic_increment = 1e-2
retained_gas_fraction = 0.25
interconnection_dependent_retained_gas_fraction = 0.5
surface_energy = 1.6
anisotropic_factor = 0.26
initial_porosity = 1e-10
fuel_melting_function = fuel_melt_func
[]
[solid_swelling]
type = ADBurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = 'fuel'
swelling_name = 'solid_swelling'
outputs = all
anisotropic_factor = 0.26
[]
[metal_fuel_thermal]
type = ADUPuZrThermal
block = 'fuel'
X_Zr = ${initial_X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
porosity = porosity
temperature = temp
outputs = all
porosity_model = logged
sodium_logged_porosity = sodium_logged_porosity
[]
[sodium_logging]
type = ADUPuZrSodiumLogging
block = 'fuel'
porosity = porosity
interconnectivity = interconnectivity
sodium_infiltration_fraction = 0.28
outputs = all
[]
[fuel_density]
type = ADStrainAdjustedDensity
block = 'fuel'
strain_free_density = ${fuel_density}
outputs = all
[]
[fast_neutron_flux]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors
rod_ave_lin_pow = flux_history
block = fuel
factor = 1.0
outputs = all
[]
[fast_neutron_flux_elongate]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors_elongate
rod_ave_lin_pow = flux_history
block = '${cladding_block}'
factor = 1.0
outputs = all
[]
[cladding_elasticity_tensor]
type = ADHT9ElasticityTensor
temperature = temp
block = '${cladding_block}'
outputs = all
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
output_properties = 'youngs_modulus poissons_ratio'
[]
[cladding_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'cladding_creep'
block = '${cladding_block}'
outputs = all
[]
[cladding_creep]
type = ADHT9CreepUpdate
block = '${cladding_block}'
temperature = temp
outputs = all
primary_creep_model = MFH
secondary_creep_model = MFH
irradiation_creep_model = MFH
fast_neutron_flux = fast_neutron_flux
[]
[thermal_expansion]
type = ADHT9ThermalExpansionEigenstrain
block = '${cladding_block}'
temperature = temp
stress_free_temperature = 298.0
eigenstrain_name = cladding_thermal_eigenstrain
outputs = all
[]
[cladding_thermal]
type = ADHT9Thermal
block = '${cladding_block}'
temperature = temp
outputs = all
[]
[cladding_density]
type = ADStrainAdjustedDensity
block = '${cladding_block}'
strain_free_density = '${clad_density}'
outputs = all
[]
[wastage_thickness]
type = ADMetallicFuelWastage
method = burnup_ht9_opt
burnup = burnup
temperature = temp
scale_factor = 1
block = '${cladding_block}'
outputs = all
[]
[cc_wastage_thickness]
type = ADMetallicFuelCoolantWastage
clad_material = HT9
use_effective_method = true
temperature = temp
scale_factor = 1
block = '${cladding_block}'
outputs = all
[]
[]
[Dampers]
[disp_x]
type = MaxIncrement
variable = disp_x
max_increment = 1e-3
[]
[disp_y]
type = MaxIncrement
variable = disp_y
max_increment = 1e-3
[]
[temp]
type = MaxIncrement
variable = temp
max_increment = 100
[]
[]
[Preconditioning]
[vcp]
type = VCP
full = true
primary_variable = 'disp_x disp_y temp'
preconditioner = 'LU'
adaptive_condensation = true
lm_variable = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
is_lm_coupling_diagonal = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -snes_force_iteration'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-15 1'
line_search = 'none'
snesmf_reuse_base = false
verbose = true
l_max_its = 60
nl_max_its = 100
nl_rel_tol = 5e-6
nl_abs_tol = 5e-9
end_time = '${fparse run_time + total_transient_time}'
dtmin = 1e-5
dtmax = 5.0
automatic_scaling = true
compute_scaling_once = false
off_diagonals_in_auto_scaling = true
ignore_variables_for_autoscaling = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = actual_cladding_time_step_limit
dt = 0.01
iteration_window = 4
optimal_iterations = 10
cutback_factor_at_failure = 0.9
growth_factor = 2
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
[_transient_t]
type = ParsedPostprocessor
pp_names = ''
expression = 't-t0'
use_t = true
constant_names = 't0'
constant_expressions = '${run_time}'
[]
# elemental temperatures
[temp_fuel_avg]
type = ElementAverageValue
variable = temp
block = 'fuel'
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = ElementExtremeValue
variable = temp
block = 'fuel'
[]
[temp_fuel_min]
type = ElementExtremeValue
variable = temp
block = 'fuel'
value_type = min
[]
[temp_cladding_avg]
type = ElementAverageValue
variable = temp
block = '${cladding_block}'
[]
[temp_cladding_max]
type = ElementExtremeValue
variable = temp
block = '${cladding_block}'
[]
[temp_cladding_min]
type = ElementExtremeValue
variable = temp
block = '${cladding_block}'
value_type = min
[]
# boundary temperatures
[temp_gas_avg]
type = SideAverageValue
boundary = 'gas_height cladding_inside_top'
variable = temp
execute_on = 'initial timestep_end'
[]
# Beyond gap closure, sodium temperarture is almost the same as the cap.
[temp_sodium_avg]
type = ElementAverageValue
block = 'cap'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_inside_surfaces_avg]
type = SideAverageValue
boundary = 'inside_surfaces'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_centerline_avg]
type = AxisymmetricCenterlineAverageValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_max]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_min]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
value_type = min
[]
[temp_fuel_surface_avg]
type = SideAverageValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_max]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_min]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
value_type = min
[]
[temp_cladding_inside_right_avg]
type = SideAverageValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_inside_right_max]
type = NodalExtremeValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_outside_right_avg]
type = SideAverageValue
boundary = 'cladding_outside_right'
variable = temp
[]
# stresses
[stress_vonmises_fuel_avg]
type = ElementAverageValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_max]
type = ElementExtremeValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = 'fuel'
[]
[stress_hydro_fuel_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = 'fuel'
[]
[stress_vonmises_cladding_avg]
type = ElementAverageValue
variable = vonmises_stress
block = '${cladding_block}'
[]
[stress_vonmises_cladding_max]
type = ElementExtremeValue
variable = vonmises_stress
block = '${cladding_block}'
[]
[stress_vonmises_cladding_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = '${cladding_block}'
[]
[stress_hydro_cladding_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = '${cladding_block}'
[]
[stress_hydro_cladding_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = '${cladding_block}'
[]
[stress_hydro_cladding_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = '${cladding_block}'
[]
[contact_pressure_max]
type = NodalExtremeValue
variable = fuel_cladding_mechanical_normal_lm
boundary = 'fuel_outer_radial_surface'
[]
# strain information
[strain_solid_swelling_fuel_avg]
type = ElementAverageValue
variable = solid_swelling
block = 'fuel'
[]
[strain_gas_swelling_fuel_avg]
type = ElementAverageValue
variable = effective_fission_gas_strain
block = 'fuel'
[]
[strain_hot_pressing_fuel_avg]
type = ElementAverageValue
variable = effective_hot_pressing_strain
block = 'fuel'
[]
[strain_volumetric_fuel_avg]
type = ElementAverageValue
variable = firstinv_strain
block = 'fuel'
[]
[strain_axial_fuel_avg]
type = ParsedPostprocessor
pp_names = 'disp_y_fuel_top_surface_avg disp_y_fuel_bottom_surface_avg'
expression = '(disp_y_fuel_top_surface_avg - disp_y_fuel_bottom_surface_avg) / ${fuel_height}'
[]
[disp_y_fuel_top_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_top_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_bottom_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_y_fuel_bottom_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_x_fuel_radial_surface_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_fuel_radial_surface_avg]
type = SideAverageValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_cladding_interior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_interior_min]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
value_type = min
[]
[disp_x_cladding_interior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_exterior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[disp_x_cladding_exterior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[anisotropic_swelling_factor]
type = FunctionValuePostprocessor
function = anisotropic_swelling_factor
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = fuel_outside_all
[]
# geometric information
[volume_cladding_interior]
type = InternalVolume
boundary = 'cladding_inside_all'
[]
[volume_fuel]
type = InternalVolume
boundary = 'fuel_outside_all'
execute_on = 'initial timestep_end'
[]
[volume_plenum]
type = InternalVolume
boundary = 'inside_surfaces'
execute_on = 'initial timestep_end'
addition = sodium_volume
[]
[plenum_ratio]
type = ParsedPostprocessor
pp_names = 'volume_plenum volume_fuel'
expression = 'volume_plenum / volume_fuel'
execute_on = 'initial timestep_end'
[]
[volume_sodium]
type = FunctionValuePostprocessor
function = sodium_volume
execute_on = 'initial timestep_end'
[]
# energy information
[flux_clad]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'cladding_inside_right'
diffusivity = thermal_conductivity
[]
[flux_fuel]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'fuel_contact_surfaces'
diffusivity = thermal_conductivity
[]
[power_integral]
type = ADElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
[]
[linear_heat_generation_rate]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[burnup_avg]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[burnup_max]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fission_rate_avg]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
# fission gas information
[fg_produced]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_produced
block = fuel
[]
[fg_released]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_released
block = fuel
execute_on = 'initial timestep_end'
[]
[fg_percent]
type = FGRPercent
fission_gas_released = fg_released
fission_gas_generated = fg_produced
[]
[interconnected_porosity_fuel_avg]
type = ElementAverageValue
variable = interconnected_porosity
block = fuel
execute_on = 'initial timestep_end'
[]
[porosity_fuel_avg]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[porosity_fuel_max]
type = ElementExtremeValue
variable = porosity
block = fuel
[]
[porosity_fuel_min]
type = ElementExtremeValue
variable = porosity
value_type = min
block = fuel
[]
[porosity_sodium_logging_avg]
type = ElementAverageValue
variable = sodium_logged_porosity
block = fuel
[]
# extras
[actual_time_step_limit]
type = MaterialTimeStepPostprocessor
block = 'fuel ${cladding_block}'
outputs = none
[]
[actual_fuel_time_step_limit]
type = MaterialTimeStepPostprocessor
block = 'fuel'
outputs = 'console'
[]
[actual_cladding_time_step_limit]
type = MaterialTimeStepPostprocessor
block = '${cladding_block}'
outputs = 'console'
[]
[time_step_limit]
type = ParsedPostprocessor
expression = 'if(actual_time_step_limit > 1e6, 1e6, actual_time_step_limit)'
pp_names = 'actual_time_step_limit'
[]
[max_wastagethickness]
type = ElementExtremeValue
value_type = max
variable = wastage_thickness
[]
[max_wst_temp]
type = ElementExtremeValue
value_type = max
variable = temp
proxy_variable = wastage_thickness
block = '${cladding_block}'
[]
[max_wst_burnup]
type = ElementExtremeValue
value_type = max
variable = burnup
proxy_variable = wastage_thickness
block = '${cladding_block}'
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
# OPTD
[temp_tc1]
type = PointValue
point = ${p_tc1}
variable = temp
[]
[temp_tc2]
type = PointValue
point = ${p_tc2}
variable = temp
[]
[temp_tc3]
type = PointValue
point = ${p_tc3}
variable = temp
[]
[temp_tc4]
type = PointValue
point = ${p_tc4}
variable = temp
[]
[temp_tc5]
type = PointValue
point = ${p_tc5}
variable = temp
[]
[temp_tc6]
type = PointValue
point = ${p_tc6}
variable = temp
[]
[max_vm]
type = ElementExtremeValue
value_type = max
block = cladding
variable = vonmises_stress
[]
[max_pen_total]
type = VectorPostprocessorReductionValue
vector_name = total_id_reduction
vectorpostprocessor = id_pen_total
value_type = max
[]
[]
[VectorPostprocessors]
[id_wastage]
type = FuelRodLineValueSampler
variable = wastage_thickness
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[id_pen_total]
type = FuelRodLineValueSampler
variable = total_id_reduction
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[od_wastage]
type = FuelRodLineValueSampler
variable = cc_wastage_thickness
material = 'clad'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[fuel_melting]
type = FuelRodLineValueSampler
variable = fuel_melting_thickness
material = 'fuel'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[]
[PerformanceMetricOutputs]
outputs = 'console'
[]
[Outputs]
print_linear_residuals = true
color = true
perf_graph = true
sync_times = ${time_spots}
[checkpoint]
type = Checkpoint
time_step_interval = 1
enable = false
[]
[exodus]
type = Exodus
time_step_interval = 500
sync_times = ${time_spots}
enable = false
[]
[ext]
type = Exodus
time_step_interval = 5
enable = true
[]
[console]
type = Console
show = 'time_step_size temp_fuel_avg temp_fuel_centerline_max temp_cladding_avg temp_cladding_max stress_vonmises_fuel_max stress_hydro_fuel_max stress_hydro_fuel_min contact_pressure_max strain_axial_fuel_avg power_integral burnup_avg fission_rate_avg fg_percent porosity_fuel_avg time_step_limit anisotropic_swelling_factor plenum_ratio volume_fuel volume_plenum max_wastagethickness temp_tc1 temp_tc2 temp_tc3 temp_tc4 temp_tc5 temp_tc6 _transient_t max_vm max_pen_total actual_fuel_time_step_limit actual_cladding_time_step_limit max_cdf'
[]
[csv_general]
type = CSV
file_base = 'FM-1/FM-1_csv_general'
[]
[csv_gold]
type = CSV
show = 'temp_tc1 temp_tc2 temp_tc3 temp_tc4 temp_tc5 temp_tc6 _transient_t max_vm max_pen_total max_cdf'
sync_only = true
sync_times = '${fparse run_time+10} ${fparse run_time+20} ${fparse run_time+50} ${fparse run_time+100} ${fparse run_time+200}
${fparse run_time+500} ${fparse run_time+1000} ${fparse run_time+2000} ${fparse run_time+3000} ${fparse run_time+4000}
${fparse run_time+5000} ${fparse run_time+6000}'
file_base = 'FM-1/FM-1_gold'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/solid_mechanics/ht9_elasticity_tensor/ad.i)
# This tests the coupling of ADHT9ElasticityTensor to temperature
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
[]
[]
[Variables]
[temp]
initial_condition = 600
[]
[]
[Kernels]
[temp_diff]
type = ADDiffusion
use_displaced_mesh = true
variable = temp
[]
[temp_dt]
type = ADTimeDerivative
variable = temp
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[all]
strain = FINITE
add_variables = true
use_automatic_differentiation = true
[]
[]
[]
[]
[BCs]
[u_top_pull]
type = ADPressure
variable = disp_y
boundary = top
factor = -1e6
[]
[u_bottom_fix]
type = ADDirichletBC
variable = disp_y
boundary = bottom
value = 0
[]
[u_yz_fix]
type = ADDirichletBC
variable = disp_x
boundary = left
value = 0
[]
[temp_front]
type = ADDirichletBC
variable = temp
boundary = top
value = 1100
[]
[temp_back]
type = ADDirichletBC
variable = temp
boundary = bottom
value = 600
[]
[]
[Materials]
[elasticity_tensor]
type = ADHT9ElasticityTensor
temperature = temp
output_properties = 'youngs_modulus poissons_ratio'
outputs = all
[]
[stress]
type = ADComputeFiniteStrainElasticStress
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
num_steps = 1
dt = 2e-3
[]
[Postprocessors]
[temp_avg]
type = ElementAverageValue
variable = temp
[]
[temp_max]
type = ElementExtremeValue
variable = temp
[]
[temp_min]
type = ElementExtremeValue
variable = temp
value_type = min
[]
[youngs_avg]
type = ElementAverageValue
variable = youngs_modulus
[]
[poissons_avg]
type = ElementAverageValue
variable = poissons_ratio
[]
[]
[Outputs]
exodus = true
[]
(test/tests/solid_mechanics/ht9_mechanics/temp_only.i)
#--------------------------------------------------------------------------------
#
# This regression test is designed to test the calculation of the thermal
# expansion of HT9 over a temperature range. The calculation starts at the
# reference temperature of 282.265 to make the computation easier.
#
# - Geometry:
# R = 1.0 m
# H = 1.0 m
#
# - Square domain with patch test mesh
#
# - Temperature = 282.265K to 582.265K
#
# - Boundary conditions:
#
# - Result (Hand calc.):
# Temp(K) Strain_yy Disp_y
# 312.265 2.945036E-04 2.945470E-04
# 342.265 5.992624E-04 5.994420E-04
# 372.265 9.138599E-04 9.142776E-04
# 402.265 1.237879E-03 1.238645E-03
# 432.265 1.570902E-03 1.572137E-03
# 462.265 1.912512E-03 1.914342E-03
# 492.265 2.262291E-03 2.264852E-03
# 522.265 2.619823E-03 2.623258E-03
# 552.265 2.984690E-03 2.989148E-03
# 582.265 3.356474E-03 3.362113E-03
#
# Computations in ht9_mech_therm_props.xlsx
#
#--------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
[patch]
type = ExamplePatchMeshGenerator
dim = 2
x_length = 1
y_length = 1
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[AuxVariables]
[temperature]
initial_condition = 282.265
[]
[]
[Functions]
[temperature_function]
type = PiecewiseLinear
x = '0 10'
y = '282.265 582.265'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = FINITE
eigenstrain_names = thermal_expansion
add_variables = true
generate_output = 'stress_xx stress_yy elastic_strain_xx elastic_strain_yy strain_xx strain_yy'
[]
[]
[AuxKernels]
[temperature]
type = FunctionAux
variable = temperature
function = temperature_function
[]
[]
[BCs]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[u_left_fix]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[]
[]
[Materials]
[mechHT9]
type = HT9ElasticityTensor
temperature = temperature
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[thermal_expansion]
type = HT9ThermalExpansionEigenstrain
stress_free_temperature = 282.265
temperature = temperature
eigenstrain_name = thermal_expansion
[]
[]
[Executioner]
type = Transient
nl_rel_tol = 1e-11
end_time = 10.0
[]
[Postprocessors]
[disp_x8]
type = NodalVariableValue
nodeid = 4
variable = disp_x
[]
[disp_x2]
type = NodalVariableValue
nodeid = 1
variable = disp_x
[]
[disp_y8]
type = NodalVariableValue
nodeid = 6
variable = disp_y
[]
[disp_y7]
type = NodalVariableValue
nodeid = 6
variable = disp_y
[]
[avg_stress_xx]
type = ElementAverageValue
variable = stress_xx
[]
[avg_stress_yy]
type = ElementAverageValue
variable = stress_yy
[]
[avg_strain_xx]
type = ElementAverageValue
variable = elastic_strain_xx
[]
[avg_strain_yy]
type = ElementAverageValue
variable = elastic_strain_yy
[]
[tot_strain_xx]
type = ElementAverageValue
variable = strain_xx
[]
[tot_strain_yy]
type = ElementAverageValue
variable = strain_yy
[]
[]
[Outputs]
exodus = true
csv = true
[]
(test/tests/metallic_fuel_wastage_damage/coupledHT9.i)
# This tests the coupling of HT9 in MetallicFuelWastage to temperature, flux, and fluence.
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
[]
[]
[Variables]
[temp]
initial_condition = 600
[]
[]
[Kernels]
[temp_diff]
type = Diffusion
variable = temp
[]
[temp_dt]
type = TimeDerivative
variable = temp
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[all]
strain = FINITE
add_variables = true
[]
[]
[]
[]
[BCs]
[u_top_pull]
type = Pressure
variable = disp_y
boundary = top
factor = -1e6
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0
[]
[u_yz_fix]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[]
[temp_front]
type = DirichletBC
variable = temp
boundary = top
value = 1000
[]
[temp_back]
type = DirichletBC
variable = temp
boundary = bottom
value = 600
[]
[]
[Materials]
[fluence]
type = FastNeutronFlux
calculate_fluence = true
flux_function = '(1 - y) * 1e23'
outputs = all
[]
[wastage_thickness_cladding]
type = MetallicFuelWastage
method = flux_ht9
burnup = 0.0 #burnup
temperature = temp
fast_neutron_flux = fast_neutron_flux
scale_factor = 1
outputs = all
[]
[wastage_thickness_coolant]
type = MetallicFuelCoolantWastage
clad_material = HT9
use_effective_method = true
temperature = temp
scale_factor = 1.0
outputs = all
[]
[compute_wastage_fraction]
type = MetallicFuelWastageDamage
temperature = temp
pellet_length = 1
pellet_y_start = 0.5
cladding_thickness = 0.000381
wastage_thickness = wastage_thickness
scalar = 1.1
outputs = all
[]
[wastage_damage_fraction]
type = ScalarMaterialDamage
damage_index = thinning_fraction
[]
[clad_elasticity_tensor]
type = HT9ElasticityTensor
temperature = temp
[]
[clad_creep]
type = HT9CreepUpdate
fast_neutron_flux = fast_neutron_flux
temperature = temp
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_creep'
damage_model = 'wastage_damage_fraction'
[]
[]
[Executioner]
type = Transient
snesmf_reuse_base = false
num_steps = 1
dt = 0.1
[]
[Postprocessors]
[temp_top]
type = SideAverageValue
variable = temp
boundary = top
[]
[flux_top]
type = SideAverageValue
variable = fast_neutron_flux
boundary = top
[]
[wastage_thickness]
type = SideAverageValue
boundary = top
variable = wastage_thickness
[]
[thinning_fraction]
type = SideAverageValue
boundary = top
variable = thinning_fraction
[]
[]
[Outputs]
exodus = true
[]
(test/tests/solid_mechanics/ht9_mechanics/mech_only.i)
#--------------------------------------------------------------------------------
#
# This regression test is designed to test the calculation of the elastic
# modulus of HT9 at a constant temperature.
#
# - Geometry:
# R = 1.0 m
# H = 1.0 m
#
# - Square domain with patch test mesh
#
# - Temperature = 0K
#
# - Boundary conditions:
# axial stress = -100 MPa at the top
#
# - Result (Hand calc.):
# Elastic strain E_yy = -4.140615E-04
# Elastic strain E_xx = 6.523295E-05
# Displacement in y-dir = -4.139758E-04
# Displacement in x-dir = 6.523508E-05
#
# Computations in ht9_mech_therm_props.xlsx
#
#--------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
[patch]
type = ExamplePatchMeshGenerator
dim = 2
x_length = 1
y_length = 1
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[AuxVariables]
[temperature]
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = FINITE
decomposition_method = EigenSolution
add_variables = true
generate_output = 'stress_xx stress_yy elastic_strain_xx elastic_strain_yy strain_xx strain_yy'
[]
[]
[BCs]
[Pressure]
[top_surface]
boundary = top
factor = 100e6
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[u_left_fix]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[]
[]
[Materials]
[mechHT9]
type = HT9ElasticityTensor
temperature = temperature
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[]
[Executioner]
type = Transient
nl_rel_tol = 1e-10
end_time = 1.0
[]
[Postprocessors]
[disp_x8]
type = NodalVariableValue
nodeid = 4
variable = disp_x
[]
[disp_x2]
type = NodalVariableValue
nodeid = 1
variable = disp_x
[]
[disp_y8]
type = NodalVariableValue
nodeid = 6
variable = disp_y
[]
[disp_y7]
type = NodalVariableValue
nodeid = 6
variable = disp_y
[]
[avg_stress_xx]
type = ElementAverageValue
variable = stress_xx
[]
[avg_stress_yy]
type = ElementAverageValue
variable = stress_yy
[]
[avg_strain_xx]
type = ElementAverageValue
variable = elastic_strain_xx
[]
[avg_strain_yy]
type = ElementAverageValue
variable = elastic_strain_yy
[]
[tot_strain_xx]
type = ElementAverageValue
variable = strain_xx
[]
[tot_strain_yy]
type = ElementAverageValue
variable = strain_yy
[]
[]
[Outputs]
csv = true
[]
(test/tests/metallic_fuel_wastage_damage/exact.i)
# This tests the formation of the thinning fraction in MetallicFuelWastageDamage due to changing temperature, flux, and fluence.
# The exact solution is calculated as a function and solved simultaneously.
# The primary metric is the maxmium difference in postprocessors between the calculated and
# analytical solutions for cladding thinning fraction.
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
add_variables = true
strain = FINITE
[]
[]
[AuxVariables]
[temp]
initial_condition = 300
[]
[]
[AuxKernels]
[temp_aux]
type = FunctionAux
variable = temp
function = '273 + 440 + x * 150'
[]
[]
[BCs]
[disp_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[]
[]
[Functions]
[fluence_fcn]
type = PiecewiseLinear
x = '0 10'
y = '0 22e26'
[]
[flux_fcn]
type = PiecewiseLinear
x = '0 10'
y = '22e25 22e25'
[]
[exact_fcn]
type = PiecewiseLinear
x = '0 10'
y = '22e25 22e25'
[]
[]
[Materials]
[fluence]
type = GenericFunctionMaterial
prop_names = 'fluence'
prop_values = 'fluence_fcn'
outputs = all
[]
[flux]
type = GenericFunctionMaterial
prop_names = 'flux'
prop_values = 'flux_fcn'
outputs = all
[]
[wastage_thickness_cladding]
type = MetallicFuelWastage
method = flux_ht9
burnup = 0.0 #burnup
temperature = temp
fast_neutron_flux = flux
scale_factor = 1
outputs = all
[]
[wastage_thickness_coolant]
type = MetallicFuelCoolantWastage
clad_material = HT9
use_effective_method = true
temperature = temp
scale_factor = 1.0
outputs = all
[]
[compute_wastage_fraction]
type = MetallicFuelWastageDamage
temperature = temp
pellet_length = 2
pellet_y_start = -1
cladding_thickness = 0.000381
wastage_thickness = wastage_thickness
scalar = 1.0
outputs = all
[]
[wastage_damage_fraction]
type = ScalarMaterialDamage
damage_index = thinning_fraction
[]
[clad_elasticity_tensor]
type = HT9ElasticityTensor
temperature = temp
[]
[clad_creep]
type = HT9CreepUpdate
fast_neutron_flux = flux
temperature = temp
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_creep'
damage_model = 'wastage_damage_fraction'
[]
[exact]
type = ParsedMaterial
coupled_variables = 'temp'
constant_names = 'cladding_thickness'
constant_expressions = '0.000381'
material_property_names = 'wastage_thickness cc_wastage_thickness'
property_name = exact
expression = 'sqrt((wastage_thickness + cc_wastage_thickness)/ cladding_thickness)'
outputs = all
[]
[]
[Executioner]
type = Transient
dt = 1
end_time = 2
[]
[Postprocessors]
[fluence_avg]
type = ElementAverageValue
variable = fluence
[]
[left_temp]
type = SideAverageValue
variable = temp
boundary = left
[]
[left_fraction]
type = SideAverageValue
variable = thinning_fraction
boundary = left
[]
[left_exact]
type = SideAverageValue
variable = exact
boundary = left
[]
[left_diff]
type = DifferencePostprocessor
value1 = left_exact
value2 = left_fraction
outputs = none
[]
[left_diff_max]
type = TimeExtremeValue
postprocessor = left_diff
outputs = console
[]
[top_temp]
type = SideAverageValue
variable = temp
boundary = top
[]
[top_fraction]
type = SideAverageValue
variable = thinning_fraction
boundary = top
[]
[top_exact]
type = SideAverageValue
variable = exact
boundary = top
[]
[top_diff]
type = DifferencePostprocessor
value1 = top_exact
value2 = top_fraction
outputs = none
[]
[top_diff_max]
type = TimeExtremeValue
postprocessor = top_diff
outputs = console
[]
[]
[Outputs]
csv = true
[]
(assessment/metallic_fuel/EBRII/X430/analysis/template.i)
# TEMPLATE FILE
# This is not an input file. It is a template used to populate the input files.
# Changes made to this file will be applied to all 25 X430 input files.
# Values used for individual pins are stored in pin_inputs.csv. Input files are
# generated using the Python script generate_input_files.py.
# X430 ASSESSMENT CASE
# BISON recreation of the 52-pin X430 experiment series, which was irradiated in
# EBR-II from 1987-88 to a peak burnup of about 10 at%. The subassembly
# contained 37 pins and was irradiated in three experiments: X430, X430A, and
# X430B. After each experiment, pins were removed, examined, replaced as
# necessary, and the subassembly was reconstructed. BISON simulations were
# developed for 25 of the pins, of which 2 are
# assessments. Legacy calculations and PIE measurements are available for all 25
# pins. Units are in standard SI: J, K, kg, m, Pa, s.
# For a more complete description of the experiments, see [Hayes et al., 1994].
# For a more complete description of the development and results of this
# assessment, see [Greenquist and Powers, 2021].
# This file simulates pin %{pin} with a composition of %{composition}.
[GlobalParams]
dim = 2
order = SECOND
family = LAGRANGE
elem_type = QUAD8
energy_per_fission = 3.2e-11 # [Shultis and Faw, 2008]
volumetric_locking_correction = false
displacements = 'disp_x disp_y'
temperature = T
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = ref
extra_tag_vectors = ref
[]
[Mesh]
coord_type = RZ
# Mesh includes a fuel slug and cladding. All dimensions are in meters. See
# [Hayes et al., 1994] and [Greenquist and Powers, 2021] for more complete
# descriptions.
type = MeshGeneratorMesh
patch_size = 30
patch_update_strategy = auto
partitioner = centroid
centroid_partitioner_direction = y
# build cladding
[bottom_plug]
type = GeneratedMeshGenerator
xmin = 0.0
xmax = 0.0032786
nx = 5
ymin = 0.0
ymax = 0.015
ny = 4
[]
[bottom_corner]
type = GeneratedMeshGenerator
xmin = 0.0032786
xmax = 0.003685
nx = 8
ymin = 0.0
ymax = 0.015
ny = 4
[]
[bottom_corner_rename_side]
type = SideSetsFromNormalsGenerator
input = bottom_corner
normals = '0 1 0'
new_boundary = new_side
[]
[combine_bottom_and_bottom_corner]
type = StitchedMeshGenerator
inputs = 'bottom_plug bottom_corner_rename_side'
stitch_boundaries_pairs = 'right left'
clear_stitched_boundary_ids = true
prevent_boundary_ids_overlap = false
[]
[cladding_wall]
type = GeneratedMeshGenerator
xmin = 0.0032786
xmax = 0.003685
nx = 8
ymin = 0.015
ymax = 0.72565
ny = 120
[]
[cladding_wall_rename_side]
type = SideSetsFromNormalsGenerator
input = cladding_wall
normals = '0 1 0'
new_boundary = new_side
[]
[combine_bottom_and_wall]
type = StitchedMeshGenerator
inputs = 'combine_bottom_and_bottom_corner cladding_wall_rename_side'
stitch_boundaries_pairs = '4 bottom'
clear_stitched_boundary_ids = true
prevent_boundary_ids_overlap = false
[]
[top_corner]
type = GeneratedMeshGenerator
xmin = 0.0032786
xmax = 0.003685
nx = 8
ymin = 0.72565
ymax = 0.74065
ny = 4
[]
[top_corner_rename_side]
type = SideSetsFromNormalsGenerator
input = top_corner
normals = '-1 0 0'
new_boundary = new_side
[]
[combine_wall_and_top_corner]
type = StitchedMeshGenerator
inputs = 'combine_bottom_and_wall top_corner_rename_side'
stitch_boundaries_pairs = '4 bottom'
clear_stitched_boundary_ids = true
prevent_boundary_ids_overlap = false
[]
[top_plug]
type = GeneratedMeshGenerator
xmin = 0.0
xmax = 0.0032786
nx = 5
ymin = 0.72565
ymax = 0.74065
ny = 4
[]
[cladding_all]
type = StitchedMeshGenerator
inputs = 'combine_wall_and_top_corner top_plug'
stitch_boundaries_pairs = '4 right'
clear_stitched_boundary_ids = true
prevent_boundary_ids_overlap = false
[]
# build fuel
[fuel_slug]
type = GeneratedMeshGenerator
xmin = 0.0
xmax = %{fuel_r}
nx = 5
ymin = 0.019
ymax = %{fuel_top}
ny = 250
[]
# combine and name subdomains
[combine_fuel_cladding]
type = CombinerGenerator
inputs = 'cladding_all fuel_slug'
[]
[name_cladding]
type = SubdomainBoundingBoxGenerator
input = combine_fuel_cladding
bottom_left = '0.0 0.0 0.0'
top_right = '0.003685 0.74065 0.0'
location = INSIDE
block_id = 0
block_name = clad
[]
[name_fuel]
type = SubdomainBoundingBoxGenerator
input = name_cladding
bottom_left = '0.0 0.019 0.0'
top_right = '%{fuel_r} %{fuel_top} 0.0'
location = INSIDE
block_id = 1
block_name = pellet
[]
# name boundaries
[name_centerline]
type = SideSetsFromNormalsGenerator
input = name_fuel
normals = '-1 0 0'
new_boundary = centerline
replace = true
[]
[name_slug_outer_surface]
type = SideSetsFromNormalsGenerator
input = name_centerline
normals = '1 0 0'
new_boundary = pellet_outer_radial_surface
replace = true
[]
[name_slug_ends]
type = SideSetsFromPointsGenerator
input = name_slug_outer_surface
points = '0.50e-3 0.019 0.0
0.50e-3 %{fuel_top} 0.0'
new_boundary = 'bottom_of_bottom_pellet top_of_top_pellet'
replace = true
[]
[name_cladding_inside]
type = SideSetsFromPointsGenerator
input = name_slug_ends
points = '0.50e-3 0.015 0.0
0.0032786 0.36 0.0
0.50e-3 0.72565 0.0'
new_boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
replace = true
[]
[name_cladding_outer_surface]
type = SideSetsFromPointsGenerator
input = name_cladding_inside
points = '0.003685 0.36 0.0
0.50e-3 0.0 0.0
0.50e-3 0.74065 0.0'
new_boundary = 'clad_outside_right clad_outside_bottom clad_outside_top'
replace = true
[]
[]
[Variables]
[T]
initial_condition = 298
[]
[]
[AuxVariables]
[gap_conductance]
order = CONSTANT
family = MONOMIAL
[]
[fuel_clad_gap_width]
order = FIRST
family = LAGRANGE
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[fuel_volumetric_strain]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[clad_hoop_stress]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[clad_hoop_creep_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[clad_hoop_elastic_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[clad_hoop_total_strain]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[local_power]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[T_coolant]
order = CONSTANT
family = MONOMIAL
[]
[pin_lhr]
block = pellet
order = CONSTANT
family = MONOMIAL
[]
[eutectic_thickness]
block = clad
order = CONSTANT
family = MONOMIAL
[]
[]
[Functions]
[assembly_lhr_avg_function]
# Subassembly average LHR as a function of time. x: time (s), y: average
# LHGR (W/m). See [Greenquist and Powers, 2021].
type = PiecewiseLinear
x = ' 0 3600 8203212 8206812 13814423 13818023 14428975 14432575
21312419 21316019 25596874 25600474 26261755 26265355 32714598 32718198
32721798 32725398 32728998 32896765 32900365 39574695 39578295 42194062
42197662 43820808 43824408 43895709 43899309 44401212 44404812 47385472
47389072 48198548 48202148 48205748 48209348 48212948 52079977 52083577
53874489 53878089 62125235 62128835 62256058 62259658 62620357 62623957
64516928 64520528 64766586 64770186 67535546 67539146 72155534 72159134
72185697 72189297 76833647 76837247 77340548 77344148 77738400 77742000
80444447 80448047 80451647 80455247'
y = ' 0.0 44225.3 44225.3 43106.1 43106.1 41403.6 41403.6 41119.9
41119.9 38881.4 38881.4 38353.3 38353.3 39472.5 39472.5 0.0
0.0 0.0 33490.2 33490.2 36863.6 36863.6 37123.7 37123.7
32717.8 32717.8 38534.6 38534.6 38432.1 38432.1 36784.8 36784.8
36036.0 36036.0 0.0 0.0 0.0 35153.3 35153.3 35153.3
35153.3 35271.5 35271.5 33663.6 33663.6 34459.7 34459.7 34640.9
34640.9 34428.1 34428.1 34026.2 34026.2 33624.2 33624.2 33624.2
33624.2 33718.8 33718.8 34057.7 34057.7 34057.7 34057.7 34215.3
34215.3 0.0 0.0 0.0'
[]
[radial_peaking_factor_function]
# Adjusts the pin's average LHR based on its location in the subassembly.
# x: time [s], y: relative LHR change. See [Greenquist and Powers, 2021].
type = PiecewiseLinear
x = ' 0 32718198
32725398 48202148
48209348 80455247'
y = '%{rad_LHR_X430} %{rad_LHR_X430}
%{rad_LHR_X430a} %{rad_LHR_X430a}
%{rad_LHR_X430b} %{rad_LHR_X430b}'
[]
[lhr_peaking_factor_function]
# Axial variation from the average LHR. x: axial position (m), y: time (s),
# z: peaking factor. See [Hayes et al., 1994] and
# [Greenquist and Powers, 2021].
#
type = PiecewiseBilinear
xaxis = 1
yaxis = 0
y = '0 32725398 48209348 80455247'
x = '0.018 0.019 %{z01} %{z02} %{z03} %{z04}
%{z05} %{z06} %{z07} %{z08} %{z09}
%{fuel_top} %{z11}'
z = '0.0000 %{pX430_00} %{pX430_01} %{pX430_02} %{pX430_03} %{pX430_04}
%{pX430_05} %{pX430_06} %{pX430_07} %{pX430_08} %{pX430_09}
%{pX430_10} 0.0000
0.0000 %{pX430a_00} %{pX430a_01} %{pX430a_02} %{pX430a_03} %{pX430a_04}
%{pX430a_05} %{pX430a_06} %{pX430a_07} %{pX430a_08} %{pX430a_09}
%{pX430a_10} 0.0000
0.0000 %{pX430b_00} %{pX430b_01} %{pX430b_02} %{pX430b_03} %{pX430b_04}
%{pX430b_05} %{pX430b_06} %{pX430b_07} %{pX430b_08} %{pX430b_09}
%{pX430b_10} 0.0000
0.0000 %{pEOL_00} %{pEOL_01} %{pEOL_02} %{pEOL_03} %{pEOL_04}
%{pEOL_05} %{pEOL_06} %{pEOL_07} %{pEOL_08} %{pEOL_09}
%{pEOL_10} 0.0000'
[]
[coolant_flux_function]
# Subassembly coolant mass flux. x: time (s), y: flux (kg m^-2 s^-1). See
# [Hayes et al., 1994] and [Greenquist and Powers, 2021].
type = PiecewiseLinear
x = ' 0 3600 8203212 8206812 13814423 13818023 14428975 14432575
21312419 21316019 25596874 25600474 26261755 26265355 32714598 32718198
32721798 32725398 32728998 32896765 32900365 39574695 39578295 42194062
42197662 43820808 43824408 43895709 43899309 44401212 44404812 47385472
47389072 48198548 48202148 48205748 48209348 48212948 52079977 52083577
53874489 53878089 62125235 62128835 62256058 62259658 62620357 62623957
64516928 64520528 64766586 64770186 67535546 67539146 72155534 72159134
72185697 72189297 76833647 76837247 77340548 77344148 77738400 77742000
80444447 80448047 80451647 80455247'
y = ' 2699.1 2699.1 2699.1 2724.0 2724.0 2697.2 2697.2 2781.0
2781.0 2721.1 2721.1 2696.9 2696.9 2785.4 2785.4 2785.4
2785.4 2785.4 2793.7 2793.7 2803.5 2803.5 2814.2 2814.2
2799.6 2799.6 2840.1 2840.1 2839.6 2839.6 2873.7 2873.7
2855.7 2855.7 2855.7 2855.7 2855.7 2826.4 2826.4 2826.4
2826.4 2788.4 2788.4 2780.6 2780.6 2771.8 2771.8 2781.5
2781.5 2817.1 2817.1 2807.4 2807.4 2777.1 2777.1 2777.1
2777.1 2746.4 2746.4 2765.9 2765.9 2765.9 2765.9 2777.1
2777.1 2777.1 2777.1 2777.1'
[]
[pin_lhr_avg_function]
type = CompositeFunction
functions = 'assembly_lhr_avg_function radial_peaking_factor_function'
[]
[pin_lhr_function]
type = CompositeFunction
functions = 'pin_lhr_avg_function lhr_peaking_factor_function'
[]
[coolant_pressure_function]
type = ConstantFunction
value = 347702.6 # [Snyder, 1988]
[]
[T_coolant_in_function]
# Sodium coolant inlet temperature. x: time (s), y: temperature (K). See
# [Hayes et al., 1994].
type = PiecewiseLinear
x = ' 0 3600 32718198 32721798 32725398 32728998 48202148 48205748
48209348 48212948 80448047 80451647 80455247'
y = ' 298.00 644.15 644.15 305.00 305.00 644.15 644.15 305.00
305.00 644.15 644.15 305.00 305.00'
[]
[sodium_volume_function]
# the initial sodium height is assumed to be equal to the initial fuel
# height and sodium infiltration is ignored.
type = ParsedFunction
symbol_names = 'pellet_outer_radius cladding_gap_width pellet_height'
symbol_values = '%{fuel_r} %{gap_width} %{fuel_h}'
expression = 'pi * ((pellet_outer_radius + cladding_gap_width)^2 -
pellet_outer_radius^2) * pellet_height'
[]
[gas_volume_function]
type = ParsedFunction
symbol_names = 'clad_internal_volume fuel_volume sodium_volume'
symbol_values = 'clad_internal_volume fuel_volume sodium_volume'
expression = 'abs(clad_internal_volume) - abs(fuel_volume) - abs(sodium_volume)'
[]
[sodium_conductivity_function]
# Thermal conductivity (W m^-1 K^-1) of the pin gap sodium according to
# [Fink and Leibowitz, 1995]. t: temperature (K).
type = ParsedFunction
symbol_names = 'A B C D'
symbol_values = '124.67 -0.11381 5.5226e-5 -1.1842e-8'
expression = 'A + B * t + C * t^2 + D * t^3'
[]
[creep_timestep_min_function]
type = ParsedFunction
symbol_names = 'creep_timestep_fuel creep_timestep_clad'
symbol_values = 'creep_timestep_fuel creep_timestep_clad'
expression = 'min(creep_timestep_fuel, creep_timestep_clad)'
[]
[fuel_axial_elongation_max_pct_function]
type = ParsedFunction
symbol_names = 'fuel_axial_elongation_min fuel_axial_elongation_max pellet_height'
symbol_values = 'fuel_axial_elongation_min fuel_axial_elongation_max %{fuel_h}'
expression = '(fuel_axial_elongation_max - fuel_axial_elongation_min) /
pellet_height * 100'
[]
[fuel_radial_dilation_max_pct_function]
type = ParsedFunction
symbol_names = 'fuel_radial_dilation_max pellet_outer_radius'
symbol_values = 'fuel_radial_dilation_max %{fuel_r}'
expression = 'fuel_radial_dilation_max / pellet_outer_radius * 100'
[]
[clad_axial_elongation_max_pct_function]
type = ParsedFunction
symbol_names = 'clad_axial_elongation_max plug_height cladding_total_height'
symbol_values = 'clad_axial_elongation_max 0.015 0.74065'
expression = 'clad_axial_elongation_max /
(plug_height + cladding_total_height) * 100'
[]
[clad_radial_dilation_max_pct_function]
type = ParsedFunction
symbol_names = 'clad_radial_dilation_max cladding_outer_radius'
symbol_values = 'clad_radial_dilation_max 0.003685'
expression = 'clad_radial_dilation_max / cladding_outer_radius * 100'
[]
[plenum_compressibility_function]
# Accounts for nonideality in fission gas [Hobbs and Charboneau, 2020]
type = ParsedFunction
symbol_names = 'plenum_pressure A B C'
symbol_values = 'plenum_pressure 1.002 -3.4e-8 -1.9e-15'
expression = 'A + B * plenum_pressure + C * plenum_pressure^2'
[]
[compressibility_times_temperature_function]
type = ParsedFunction
symbol_names = 'plenum_temperature plenum_compressibility'
symbol_values = 'plenum_temperature plenum_compressibility'
expression = 'plenum_temperature * plenum_compressibility'
[]
[]
[Physics/SolidMechanics/QuasiStatic]
add_variables = true
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress
hydrostatic_stress creep_strain_xx creep_strain_yy
creep_strain_zz elastic_strain_xx elastic_strain_yy
elastic_strain_zz strain_xx strain_yy strain_zz'
[fuel_mechanics]
block = pellet
eigenstrain_names = 'fuel_thermal_strain fuel_gaseous_strain
fuel_solid_strain'
extra_vector_tags = ref
[]
[clad_mechanics]
block = clad
eigenstrain_names = 'clad_thermal_strain clad_gaseous_strain'
extra_vector_tags = ref
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = ref
[]
[heat_conduction_time_derivative]
type = HeatConductionTimeDerivative
variable = T
extra_vector_tags = ref
[]
[heat_conduction]
type = HeatConduction
variable = T
extra_vector_tags = ref
[]
[heat_source]
type = FissionRateHeatSource
block = pellet
variable = T
fission_rate = fission_rate
extra_vector_tags = ref
[]
[]
[AuxKernels]
[gap_conductance]
type = MaterialRealAux
variable = gap_conductance
property = gap_conductance
boundary = pellet_outer_radial_surface
[]
[fuel_clad_gap_width]
type = ParsedAux
variable = fuel_clad_gap_width
coupled_variables = penetration
expression = '-penetration'
[]
[failed_element]
type = MaterialRealAux
variable = element_failed
property = failed
boundary = clad_outside_right
[]
[fuel_volumetric_strain]
type = RankTwoScalarAux
block = pellet
variable = fuel_volumetric_strain
rank_two_tensor = total_strain
scalar_type = VolumetricStrain
[]
[clad_hoop_stress]
type = RankTwoAux
block = clad
variable = clad_hoop_stress
rank_two_tensor = stress
index_i = 2
index_j = 2
[]
[clad_hoop_creep_strain]
type = RankTwoAux
block = clad
variable = clad_hoop_creep_strain
rank_two_tensor = creep_strain
index_i = 2
index_j = 2
[]
[clad_hoop_elastic_strain]
type = RankTwoAux
block = clad
variable = clad_hoop_elastic_strain
rank_two_tensor = elastic_strain
index_i = 2
index_j = 2
[]
[clad_hoop_total_strain]
type = RankTwoAux
block = clad
variable = clad_hoop_total_strain
rank_two_tensor = total_strain
index_i = 2
index_j = 2
[]
[local_power]
type = FunctionAux
block = pellet
variable = local_power
function = lhr_peaking_factor_function
[]
[T_coolant]
type = MaterialRealAux
variable = T_coolant
property = coolant_temperature
boundary = clad_outside_right
[]
[pin_lhr]
type = FunctionAux
block = pellet
variable = pin_lhr
function = pin_lhr_function
[]
[eutectic_thickness]
type = DiffusionalEutecticThicknessFCCI
block = clad
variable = eutectic_thickness
temperature = T
boundary = clad_inside_right
execute_on = TIMESTEP_END
[]
[]
[Contact]
[frictionless_fuel_clad_mechanical]
primary = clad_inside_right
secondary = pellet_outer_radial_surface
model = frictionless
formulation = kinematic
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = T
primary = clad_inside_right
secondary = pellet_outer_radial_surface
gap_geometry_type = CYLINDER
gap_conductivity_function = sodium_conductivity_function
gap_conductivity_function_variable = T
quadrature = true
min_gap = %{gap_width} # Initial gap thickness according to dimensions.
tangential_tolerance = 1e-4
[]
[]
[BCs]
[fix_disp_x_all]
type = DirichletBC
variable = disp_x
value = 0.0
boundary = centerline
[]
[fix_disp_y_all]
type = DirichletBC
variable = disp_y
value = 0.0
boundary = 'clad_outside_bottom bottom_of_bottom_pellet'
[]
[Pressure]
[coolant_pressure]
function = coolant_pressure_function
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
[]
[]
[PlenumPressure]
[plenum_pressure]
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
startup_time = 0
initial_pressure = 84000 # [Hayes et al., 1994]
volume = gas_volume
material_input = fission_gas_released
R = 8.3143
temperature = plenum_temperature
output = plenum_pressure
[]
[]
[]
[PlenumTemperature]
[plenum_temperature]
temperature = T
boundary = 'bottom_of_bottom_pellet pellet_outer_radial_surface
top_of_top_pellet clad_inside_bottom clad_inside_right
clad_inside_top'
inner_surfaces = 'bottom_of_bottom_pellet pellet_outer_radial_surface
top_of_top_pellet'
outer_surfaces = 'clad_inside_bottom clad_inside_right clad_inside_top'
[]
[]
[CoolantChannel]
[convective_clad_surface]
variable = T
inlet_temperature = T_coolant_in_function
inlet_pressure = coolant_pressure_function
inlet_massflux = coolant_flux_function
coolant_material = sodium
rod_diameter = 0.00737 # [Hayes et al., 1994]
rod_pitch = %{pin_pitch}
linear_heat_rate = pin_lhr_avg_function
axial_power_profile = lhr_peaking_factor_function
subchannel_geometry = triangular
boundary = 'clad_outside_bottom clad_outside_right clad_outside_top'
[]
[]
[Materials]
###### FUEL ######
[fuel_fission_rate]
type = UPuZrFissionRate
block = pellet
rod_linear_power = pin_lhr_avg_function
axial_power_profile = lhr_peaking_factor_function
pellet_radius = %{fuel_r}
initial_X_Zr = %{x_Zr}
X_Zr = %{x_Zr}
outputs = exodus
output_properties = fission_rate
[]
[fuel_burnup]
type = UPuZrBurnup
block = pellet
density = %{fuel_density}
initial_X_Pu = %{x_Pu}
initial_X_Zr = %{x_Zr}
outputs = exodus
output_properties = burnup
[]
[fuel_density]
type = StrainAdjustedDensity
block = pellet
strain_free_density = %{fuel_density}
[]
[fuel_sodium_logging]
type = UPuZrSodiumLogging
block = pellet
porosity = porosity
sodium_infiltration_fraction = %{na_infiltration}
outputs = exodus
output_properties = sodium_logged_porosity
[]
[fuel_thermal_properties]
type = UPuZrThermal
block = pellet
X_Pu = %{x_Pu}
X_Zr = %{x_Zr}
spheat_model = savage
thcond_model = lanl
porosity_model = logged
porosity = porosity
sodium_logged_porosity = sodium_logged_porosity
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
block = pellet
X_Pu = %{x_Pu}
X_Zr = %{x_Zr}
porosity = porosity
[]
[fuel_creep]
type = UPuZrCreepUpdate
block = pellet
porosity = porosity
max_inelastic_increment = 3e-3
effective_inelastic_strain_name = fuel_effective_creep_strain
[]
[fuel_gaseous_swelling]
type = UPuZrGaseousEigenstrain
block = pellet
fission_rate = fission_rate
anisotropic_factor = 0.5
bubble_number_density = 5e17
interconnection_initiating_porosity = %{fgr_initiating_porosity}
interconnection_terminating_porosity = %{fgr_terminating_porosity}
eigenstrain_name = fuel_gaseous_strain
outputs = exodus
output_properties = 'gas_swelling porosity interconnectivity'
[]
[fuel_solid_swelling]
type = BurnupDependentEigenstrain
block = pellet
eigenstrain_name = fuel_solid_strain
swelling_name = solid_swelling
swelling_factor = 0 # Solid swelling is negligible below 10% burnup
outputs = exodus
output_properties = solid_swelling
[]
[fuel_fission_gas_release]
type = UPuZrFissionGasRelease
block = pellet
fission_rate = fission_rate
porosity = porosity
critical_porosity = %{critical_porosity}
fractional_fgr_initial = %{fgr_initial}
fractional_fgr_post = %{fgr_post}
[]
[fuel_thermal_expansion]
type = UPuZrThermalExpansionEigenstrain
block = pellet
stress_free_temperature = 298
eigenstrain_name = fuel_thermal_strain
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
block = pellet
inelastic_models = fuel_creep
[]
###### CLADDING ######
[fast_neutron_flux]
type = UPuZrFastNeutronFlux
pellet_radius = %{fuel_r}
axial_power_profile = lhr_peaking_factor_function
rod_linear_power = pin_lhr_avg_function
initial_density = %{fuel_density}
initial_X_Pu = %{x_Pu}
initial_X_Zr = %{x_Zr}
enrichment_U235 = %{enrichment_U}
enrichment_Pu240 = %{enrichment_Pu}
calculate_fluence = true
outputs = exodus
[]
[clad_density]
type = StrainAdjustedDensity
block = clad
strain_free_density = 7771
[]
[clad_thermal_properties]
type = HT9Thermal
block = clad
[]
[clad_gaseous_swelling]
type = HT9VolumetricSwellingEigenstrain
block = clad
fast_neutron_flux = fast_neutron_flux
fast_neutron_fluence = fast_neutron_fluence
eigenstrain_name = clad_gaseous_strain
[]
[clad_thermal_expansion]
type = HT9ThermalExpansionEigenstrain
block = clad
eigenstrain_name = clad_thermal_strain
stress_free_temperature = 298
[]
[clad_elasticity_tensor]
type = HT9ElasticityTensor
block = clad
[]
[clad_creep]
type = HT9CreepUpdate
block = clad
first_thermal_scalar = 1
second_thermal_scalar = 1
irradiation_scalar = 1
max_inelastic_increment = 3e-3 # 1e-2
effective_inelastic_strain_name = clad_effective_creep_strain
[]
[clad_failure]
type = HT9FailureClad
method = cdf_long
hoop_stress = stress_zz
boundary = clad_outside_right
outputs = exodus
output_properties = cdf_failure
[]
[inner_clad_wastage]
type = MetallicFuelWastage
block = clad
method = flux_ht9
burnup = 0 # not used but must be specified
outputs = exodus
output_properties = wastage_thickness
[]
[outer_clad_wastage]
type = MetallicFuelCoolantWastage
block = clad
clad_material = HT9
use_effective_method = true
outputs = exodus
[]
[clad_wastage_fraction]
type = MetallicFuelWastageDamage
block = clad
wastage_thickness = wastage_thickness
pellet_length = %{fuel_h}
pellet_y_start = 0.019
cladding_thickness = 0.0004064
outputs = exodus
[]
[clad_damage_fraction]
type = ScalarMaterialDamage
block = clad
damage_index = thinning_fraction
outputs = exodus
[]
[clad_elastic_stress]
type = ComputeMultipleInelasticStress
block = clad
inelastic_models = clad_creep
[]
[]
[Dampers]
[T_damper]
type = MaxIncrement
variable = T
max_increment = 25
[]
[disp_x_damper]
type = MaxIncrement
variable = disp_x
max_increment = 3.00E-04
[]
[disp_y_damper]
type = MaxIncrement
variable = disp_y
max_increment = 3.00E-04
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = PJFNK
automatic_scaling = true
compute_scaling_once = false
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package
-ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist
51'
line_search = NONE
l_max_its = 30
l_tol = 1e-3
nl_max_its = 30
nl_rel_tol = 1e-4
nl_abs_tol = 5e-7
start_time = %{t_start}
end_time = %{t_end}
dtmin = 1e-2
dtmax = 1e6
verbose = true
[Quadrature]
order = FIFTH
side_order = SEVENTH
[]
[TimeStepper]
type = IterationAdaptiveDT
dt = 1
optimal_iterations = 10
iteration_window = 4
growth_factor = 1.25
cutback_factor = 0.512
linear_iteration_ratio = 100
force_step_every_function_point = true
timestep_limiting_function = assembly_lhr_avg_function
timestep_limiting_postprocessor = creep_timestep_min
[]
[]
[Postprocessors]
###### POWER ######
[fission_rate_density_avg]
type = ElementAverageValue
block = pellet
variable = fission_rate
outputs = csv
[]
[fast_neutron_fluence_avg]
type = ElementAverageValue
variable = fast_neutron_fluence
outputs = 'csv chkfile'
[]
[fast_neutron_fluence_max]
type = ElementExtremeValue
variable = fast_neutron_fluence
value_type = max
outputs = 'csv chkfile'
[]
[pin_hr_tot]
type = ElementIntegralPower
block = pellet
variable = T # required but not actually used
use_material_fission_rate = true
fission_rate_material = fission_rate
outputs = csv
[]
[pin_lhr_avg]
type = FunctionValuePostprocessor
function = pin_lhr_avg_function
outputs = csv
[]
###### HEAT TRANSFER ######
[radial_heat_flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = T
boundary = pellet_outer_radial_surface
diffusivity = thermal_conductivity
outputs = csv
[]
[radial_heat_flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = T
boundary = clad_outside_right
diffusivity = thermal_conductivity
outputs = csv
[]
###### FISSION GAS ###### (needed for simulation to run)
[fission_gas_produced]
type = ElementIntegralMaterialProperty
block = pellet
mat_prop = fis_gas_prod
outputs = 'csv chkfile'
[]
[fission_gas_released]
type = ElementIntegralMaterialProperty
block = pellet
mat_prop = fis_gas_rel
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[fission_gas_released_pct]
type = FGRPercent
fission_gas_generated = fission_gas_produced
fission_gas_released = fission_gas_released
outputs = 'console csv chkfile'
[]
[clad_internal_volume]
type = InternalVolume
boundary = 'clad_inside_bottom clad_inside_right clad_inside_top'
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[fuel_volume]
type = InternalVolume
boundary = 'bottom_of_bottom_pellet pellet_outer_radial_surface
top_of_top_pellet'
scale_factor = -1 # makes the fuel volume positive
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[sodium_volume]
type = FunctionValuePostprocessor
function = sodium_volume_function
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[gas_volume]
type = FunctionValuePostprocessor
function = gas_volume_function
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[plenum_compressibility]
type = FunctionValuePostprocessor
function = plenum_compressibility_function
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
[compressibility_times_temperature]
type = FunctionValuePostprocessor
function = compressibility_times_temperature_function
execute_on = 'INITIAL LINEAR TIMESTEP_END'
outputs = csv
[]
###### BURNUP ######
[burnup_max]
type = ElementExtremeValue
block = pellet
variable = burnup
value_type = max
outputs = csv
[]
[burnup_max_pct]
type = LinearCombinationPostprocessor
pp_names = burnup_max
pp_coefs = 100
outputs = 'csv chkfile'
[]
[burnup_avg]
type = ElementAverageValue
block = pellet
variable = burnup
outputs = csv
[]
[burnup_avg_pct]
type = LinearCombinationPostprocessor
pp_names = burnup_avg
pp_coefs = 100
outputs = 'console csv chkfile'
[]
###### FUEL TEMPERATURE ######
[fuel_T_max]
type = ElementExtremeValue
block = pellet
variable = T
value_type = max
outputs = csv
[]
[fuel_T_max_peak]
type = TimeExtremeValue
postprocessor = fuel_T_max
value_type = max
outputs = 'csv chkfile'
[]
[fuel_T_surface_max]
type = NodalExtremeValue
boundary = pellet_outer_radial_surface
variable = T
value_type = max
outputs = csv
[]
[fuel_T_surface_max_peak]
type = TimeExtremeValue
postprocessor = fuel_T_surface_max
value_type = max
outputs = 'csv chkfile'
[]
###### CLADDING TEMPERATURE ######
[clad_T_max]
type = ElementExtremeValue
block = clad
variable = T
value_type = max
outputs = csv
[]
[clad_T_max_peak]
type = TimeExtremeValue
postprocessor = clad_T_max
value_type = max
outputs = csv
[]
[clad_T_inner_surface_max]
type = NodalExtremeValue
boundary = clad_inside_right
variable = T
value_type = max
outputs = csv
[]
[clad_T_inner_surface_max_peak]
type = TimeExtremeValue
postprocessor = clad_T_inner_surface_max
value_type = max
outputs = 'csv chkfile'
[]
[clad_T_outer_surface_max]
type = NodalExtremeValue
boundary = clad_outside_right
variable = T
value_type = max
outputs = csv
[]
[clad_T_outer_surface_max_peak]
type = TimeExtremeValue
postprocessor = clad_T_outer_surface_max
value_type = max
outputs = 'csv chkfile'
[]
###### COOLANT PARAMETERS ######
[T_coolant_in]
type = FunctionValuePostprocessor
function = T_coolant_in_function
outputs = csv
[]
[T_coolant_out]
type = ElementExtremeValue
block = clad
variable = T_coolant
value_type = max
outputs = csv
[]
[coolant_flux]
type = FunctionValuePostprocessor
function = coolant_flux_function
outputs = csv
[]
###### FUEL DEFORMATION ######
[fuel_axial_elongation_min]
type = NodalExtremeValue
block = pellet
variable = disp_y
value_type = min
outputs = csv
[]
[fuel_axial_elongation_max]
type = NodalExtremeValue
block = pellet
variable = disp_y
value_type = max
outputs = csv
[]
[fuel_axial_elongation_max_pct]
type = FunctionValuePostprocessor
function = fuel_axial_elongation_max_pct_function
outputs = 'console csv chkfile'
[]
[fuel_radial_dilation_max]
type = NodalExtremeValue
variable = disp_x
boundary = pellet_outer_radial_surface
value_type = max
outputs = csv
[]
[fuel_radial_dilation_max_pct]
type = FunctionValuePostprocessor
function = fuel_radial_dilation_max_pct_function
outputs = csv
[]
###### CLADDING DEFORMATION ######
[clad_axial_elongation_max]
type = NodalExtremeValue
block = clad
variable = disp_y
value_type = max
outputs = csv
[]
[clad_axial_elongation_max_pct]
type = FunctionValuePostprocessor
function = clad_axial_elongation_max_pct_function
outputs = 'csv chkfile'
[]
[clad_radial_dilation_max]
type = NodalExtremeValue
variable = disp_x
boundary = clad_outside_right
value_type = max
outputs = csv
[]
[clad_radial_dilation_max_pct]
type = FunctionValuePostprocessor
function = clad_radial_dilation_max_pct_function
outputs = 'console csv chkfile'
[]
###### GAP DEFORMATION AND MECHANICS ######
[gap_width_min]
type = NodalExtremeValue
variable = fuel_clad_gap_width
boundary = pellet_outer_radial_surface
value_type = min
outputs = csv
[]
[gap_width_max]
type = NodalExtremeValue
variable = fuel_clad_gap_width
boundary = pellet_outer_radial_surface
value_type = max
outputs = csv
[]
[gap_width_avg]
type = SideAverageValue
variable = fuel_clad_gap_width
boundary = pellet_outer_radial_surface
outputs = csv
[]
[contact_pressure_max]
type = NodalExtremeValue
variable = contact_pressure
boundary = pellet_outer_radial_surface
value_type = max
outputs = csv
[]
###### FUEL MECHANICS ######
[fuel_hydrostatic_stress_min]
type = ElementExtremeValue
block = pellet
variable = hydrostatic_stress
value_type = min
outputs = csv
[]
[fuel_hydrostatic_stress_max]
type = ElementExtremeValue
block = pellet
variable = hydrostatic_stress
value_type = max
outputs = csv
[]
[fuel_hydrostatic_stress_avg]
type = ElementAverageValue
block = pellet
variable = hydrostatic_stress
outputs = csv
[]
[fuel_volumetric_strain_avg]
type = ElementAverageValue
block = pellet
variable = fuel_volumetric_strain
outputs = 'csv chkfile'
[]
###### CLADDING MECHANICS ######
[clad_hoop_stress_max]
type = ElementExtremeValue
block = clad
variable = clad_hoop_stress
value_type = max
outputs = csv
[]
[clad_hoop_creep_strain_max]
type = ElementExtremeValue
block = clad
variable = clad_hoop_creep_strain
value_type = max
outputs = 'csv chkfile'
[]
[clad_hoop_elastic_strain_max]
type = ElementExtremeValue
block = clad
variable = clad_hoop_elastic_strain
value_type = max
outputs = 'csv chkfile'
[]
[clad_hoop_total_strain_max]
type = ElementExtremeValue
block = clad
variable = clad_hoop_total_strain
value_type = max
outputs = 'csv chkfile'
[]
[cdf_max]
type = ElementExtremeValue
variable = cdf_failure
value_type = max
outputs = 'console csv'
[]
###### PERFORMANCE ######
[creep_timestep_fuel]
type = MaterialTimeStepPostprocessor
block = pellet
outputs = csv
[]
[creep_timestep_clad]
type = MaterialTimeStepPostprocessor
block = clad
outputs = csv
[]
[creep_timestep_min]
type = FunctionValuePostprocessor
function = creep_timestep_min_function
outputs = csv
[]
###### SWELLING ######
[solid_swelling_avg]
type = ElementAverageValue
block = pellet
variable = solid_swelling
outputs = 'csv chkfile'
[]
[gas_swelling_avg]
type = ElementAverageValue
block = pellet
variable = gas_swelling
outputs = 'csv chkfile'
[]
[porosity_avg]
type = ElementAverageValue
block = pellet
variable = porosity
outputs = 'csv chkfile'
[]
[sodium_logged_porosity_avg]
type = ElementAverageValue
block = pellet
variable = sodium_logged_porosity
outputs = 'csv chkfile'
[]
###### CLADDING WASTAGE ######
[wastage_max]
type = ElementExtremeValue
block = clad
variable = wastage_thickness
value_type = max
outputs = 'csv chkfile'
[]
[wastage_min]
type = ElementExtremeValue
block = clad
variable = wastage_thickness
value_type = min
outputs = csv
[]
[wastage_avg]
type = ElementAverageValue
block = clad
variable = wastage_thickness
outputs = csv
[]
[eutectic_max]
type = ElementExtremeValue
block = clad
variable = eutectic_thickness
value_type = max
outputs = csv
[]
[eutectic_min]
type = ElementExtremeValue
block = clad
variable = eutectic_thickness
value_type = min
outputs = csv
[]
[eutectic_avg]
type = ElementAverageValue
block = clad
variable = eutectic_thickness
outputs = csv
[]
[]
[VectorPostprocessors]
[fuel_centerline]
type = SideValueSampler
variable = 'T disp_x disp_y'
boundary = centerline
sort_by = y
outputs = csv
[]
[fuel_surface]
type = SideValueSampler
variable = 'T disp_x disp_y'
boundary = pellet_outer_radial_surface
sort_by = y
outputs = csv
[]
[clad_inner_surface]
type = SideValueSampler
variable = 'T disp_x disp_y'
boundary = clad_inside_right
sort_by = y
outputs = csv
[]
[clad_outer_surface]
type = SideValueSampler
variable = 'T disp_x disp_y'
boundary = clad_outside_right
sort_by = y
outputs = csv
[]
[]
[PerformanceMetricOutputs]
outputs = 'csv performance'
[]
[Outputs]
color = false
perf_graph = true
[console]
type = Console
output_screen = true
[]
[exodus]
type = Exodus
execute_on = 'INITIAL TIMESTEP_END FINAL'
time_step_interval = 50
[]
[csv]
type = CSV
execute_postprocessors_on = 'INITIAL TIMESTEP_END'
execute_vector_postprocessors_on = FINAL
[]
[chkfile]
type = CSV
execute_postprocessors_on = FINAL
[]
[performance]
type = CSV
hide = 'plenum_pressure plenum_temperature'
execute_postprocessors_on = FINAL
[]
[]
# REFERENCES
# [Fink and Leibowitz, 1995]
# J. K. Fink and L. Leibowitz, "Thermodynamic and transport properties of
# sodium liquid and vapor", Argonne National Laboratory ANL/RE--95/2, 94649,
# Argonne, Illinois (1995)
# [Greenquist and Powers, 2021]
# I. Greenquist, J.J. Powers "25-Pin metallic fuel performance benchmark
# case based on the EBR-II X430 experiment series" Journal of Nuclear
# Materials Vol 556, 153211 (2021)
# [Hayes et al., 1994]
# S.L. Hayes, D.C. Crawford, R.G. Phal "Test Design and Postirradiation
# Examination of the HT9 Advanced Driver Fuel Test (X430)" Argonne National
# Laboratory ANL-IFR-225, Idaho Falls, Idaho (1994)
# [Hobbs and Charboneau, 2020]
# I.M. Hobbs, J.A. Charboneau "Compressibility of gas mixtures pertaining to
# nuclear fuel rods" Journal of Physics Comminications Vol. 4, Iss. 9,
# 095008 (2020)
# [Shultis and Faw, 2008]
# J.K. Shultis, R.E. Faw "Fundamentals of Nuclear Science and Engineering
# Second Edition" CRC Press, Boca Raton, Florida (2008)
# [Snyder, 1988]
# E. Snyder "Report of EBR-II Operations: Run 146 and 147", Argonne National
# Laboratory ANLEBR.R146 ANLEBR.R147, Idaho Falls, Idaho (1988)
(assessment/metallic_fuel/EBRII/X447/analysis/enhancement/x447_enh_base.i)
# Enhanced X447 analysis
# Uses advanced contact and gap conductance modeling from X441 assessment case
# Uses 0.3017 for fission gas yield, which is consistent with X423 assessment case
## Sodium logging was calculated by hand here for confirmation
## The hotpressing, or the accumulation of solid FPs (~15% at ~10% BU)
## Will consume the available porosity
gap_bottom_length = 0.31e-3
top_bot_cladding_height = 2.24e-3
# Calculations
cladding_ir = ${fparse fuel_radius + cladding_gap_width}
gas_plenum_height = ${fparse plenum_volume / pi / cladding_ir^2}
fuel_y_start = ${fparse gap_bottom_length + top_bot_cladding_height}
alpha_start = 877
alpha_end = 936
bubble_concentration = 1e15
[GlobalParams]
order = FIRST
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
alpha_transition_end = ${alpha_end}
alpha_transition_start = ${alpha_start}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
# Pin design parameters from FIPD database
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} / ${pin_id} _design.csv'}
gap_bottom_length = ${gap_bottom_length} # arbitrary
cladding_bottom_plug_length = ${top_bot_cladding_height} # arbitrary
cladding_top_plug_length = ${top_bot_cladding_height} # arbitrary
cladding_sidewall_radial_elements = 10
cladding_sidewall_axial_element_numbers = '2 150 150'
cladding_top_plug_radial_elements = 10
cladding_top_plug_axial_elements = 5
cladding_bottom_plug_axial_elements = 5
fuel_radial_elements = 6
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '150'
use_default_cladding_sidewall_axial_element_intervals = true
elem_type = QUAD4
make_stand = true
make_cap = true
cap_axial_elements = 15
stand_axial_elements = 15
[]
[sodium_height]
type = SideSetsFromBoundingBoxGenerator
input = gen
bottom_left = '0 0 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${fparse fuel_y_start + fuel_height} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1005'
[]
[gas_height]
type = SideSetsFromBoundingBoxGenerator
input = sodium_height
bottom_left = '0 ${fparse fuel_y_start + fuel_height} 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${fparse fuel_y_start + fuel_height + gas_plenum_height + top_bot_cladding_height} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1006'
[]
[sodium_plenum_rename]
type = RenameBoundaryGenerator
input = gas_height
old_boundary = '1005 1006'
new_boundary = 'sodium_height gas_height'
[]
patch_size = 120
patch_update_strategy = always
partitioner = centroid
centroid_partitioner_direction = y
coord_type = RZ
[]
[Variables]
[temp]
initial_condition = 298
block = 'fuel cladding cap stand'
[]
[disp_x]
block = 'fuel cladding cap stand'
[]
[disp_y]
block = 'fuel cladding cap stand'
[]
[]
[Functions]
[fflux_axial_peaking_factors] # Fast flux peaking factor from FIPD database; used for fuel related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
[]
[fflux_axial_peaking_factors_elongate] # Fast flux peaking factor from FIPD database; used for cladding related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
fuel_elongation_pp = max_fuel_elongation # pp used to track fuel elongation
[]
[flux_history] # Time-dependent pin average fast flux from FIPD database
type = PiecewiseLinear
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /flux_history_ ${pin_id} .csv'}
[]
[clad_od_temp] # Time-dependent cladding OD temperature from FIPD database
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /clad_od_temp_history_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
[]
[ab_sodium_vol]
type = MeshPropertyFunction
mesh_generator = gen
mesh_property_name = sodium_volume
scale_factor = -1.0
[]
[sodium_volume]
# Need to account for the factor that hot pressing is also occupying the open pores
type = ParsedFunction
symbol_names = 'porosity_sodium_logging_avg volume_fuel raw_sodium_vol temp_sodium_avg'
symbol_values = 'porosity_sodium_logging_avg volume_fuel ab_sodium_vol temp_sodium_avg'
# Note the the symbol before volume_fuel should be negative as volume_fuel itself is negative
expression = 'raw_sodium_vol * 954 / (1102 - 0.23 * temp_sodium_avg) - volume_fuel * porosity_sodium_logging_avg'
[]
[power_history] # Time-dependent pin average power from FIPD database
type = PiecewiseLinear
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /power_history_ ${pin_id} .csv'}
[]
[axial_peaking_factors]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
[]
[axial_peaking_factors_extended]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
fuel_elongation_pp = max_fuel_elongation # pp used to track fuel elongation
[]
[anisotropic_swelling_factor]
type = ParsedFunction
symbol_names = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg fuel_height fuel_radius'
symbol_values = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg ${fuel_height} '
'${fuel_radius}'
expression = '(disp_x_fuel_radial_surface_avg / ${fuel_radius}) / '
'(disp_y_fuel_top_surface_avg / ${fuel_height})'
[]
[gap_thermal_conductivity]
type = ParsedFunction
expression = '124.67 - 0.11381 * t + 5.5226e-5 * t^2 - 1.1842e-8 * t^3'
[]
[id_vpp_func] # vpp_function used to track FCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = id_wastage
argument_column = y
wastage_type = ID
value_column = wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[od_vpp_func] # vpp_function used to track CCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = od_wastage
argument_column = y
wastage_type = OD
value_column = cc_wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = fuel
strain = FINITE
generate_output = 'firstinv_strain stress_xx stress_yy stress_zz vonmises_stress '
'hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz '
'elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy '
'strain_zz'
extra_vector_tags = 'ref'
eigenstrain_names = 'fuel_thermal_strain solid_swelling_eigenstrain'
use_automatic_differentiation = true
volumetric_locking_correction = true
[]
[cladding]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress '
'creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx '
'elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = 'cladding'
eigenstrain_names = 'cladding_thermal_eigenstrain'
use_automatic_differentiation = true
volumetric_locking_correction = true
[]
[]
[Kernels]
[gravity]
type = ADGravity
block = 'fuel cladding'
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = ADHeatConduction
block = 'fuel cladding cap stand'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
block = 'fuel cladding cap stand'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = ADFissionRateHeatSource
variable = temp
block = 'fuel'
fission_rate = fission_rate
extra_vector_tags = 'ref'
energy_deposited_in_fuel = 0.95
[]
[disp_x_dt]
type = ADTimeDerivative
variable = disp_x
block = ' cap stand'
extra_vector_tags = 'ref'
[]
[disp_y_dt]
type = ADTimeDerivative
variable = disp_y
block = 'cap stand'
extra_vector_tags = 'ref'
[]
[disp_x_diff]
type = ADMatAnisoDiffusion
variable = disp_x
block = 'cap stand'
diffusivity = d_x
extra_vector_tags = 'ref'
[]
[disp_y_diff]
type = ADMatDiffusion
variable = disp_y
block = 'cap stand'
diffusivity = 1e8
extra_vector_tags = 'ref'
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_bottom = cladding_outside_bottom
clad_inner_wall = cladding_inside_right
clad_outer_wall = cladding_outside_right
clad_top = cladding_outside_top
pellet_exteriors = fuel_outside_all
[]
[clad_thm_exp]
type = LayeredAverage
variable = clad_thermal_eigenstrain_xx
direction = y
num_layers = 1000
block = cladding
[]
[]
[Contact]
[fuel_cladding_mechanical]
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
model = coulomb
friction_coefficient = 0.1
formulation = mortar
c_normal = ${fparse 1e17 * magic_factor}
c_tangential = ${fparse 1e19 * magic_factor}
correct_edge_dropping = true
[]
[]
[MortarGapHeatTransfer]
[inside2outside]
temperature = temp
boundary = 'cladding_inside_right'
gap_conductivity_function = gap_thermal_conductivity
gap_conductivity_function_variable = temp
primary_boundary = cladding_inside_right
secondary_boundary = fuel_contact_surfaces
gap_flux_options = 'CONDUCTION'
ghost_point_neighbors = true
[]
[]
[BCs]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = 'centerline cap_top'
value = 0.0
preset = false
[]
[no_y_clad]
type = ADDirichletBC
variable = disp_y
boundary = 'cladding_inside_bottom'
value = 0.0
preset = false
[]
[Pressure]
[coolantPressure]
boundary = 'cladding_outside_right'
factor = 0.151e6
use_automatic_differentiation = true
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 'inside_surfaces'
initial_pressure = 84116 # in Pa, 12.2 psi
startup_time = 0
R = 8.3143
temperature = temp_gas_avg
volume = volume_plenum
output = plenum_pressure
material_input = fg_released
use_automatic_differentiation = true
[]
[]
[surf] # Setting temperature BC base on FIPD data
type = FunctionDirichletBC
variable = temp
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = clad_od_temp
[]
[]
[AuxVariables]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[relx]
[]
[clad_thm_exp]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[clad_thermal_eigenstrain_xx]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[]
[AuxKernels]
[cdf_amount]
block = cladding
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[clad_thm_exp]
type = SpatialUserObjectAux
variable = clad_thm_exp
execute_on = 'initial timestep_end'
user_object = clad_thm_exp
block = cladding
[]
[clad_thermal_eigenstrain_xx]
type = ADRankTwoAux
rank_two_tensor = cladding_thermal_eigenstrain
variable = clad_thermal_eigenstrain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = cladding
[]
[]
[Materials]
[longHT9_failure]
type = HT9FailureClad
block = cladding
method = cdf_long
temperature = temp
outputs = all
hoop_stress = stress_zz # Since 2D-RZ
[]
[d_x]
type = ADConstantAnisotropicMobility
tensor = '1e3 0 0
0 1e6 0
0 0 0'
M_name = d_x
[]
[cap_thcond]
type = ADGenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '65 1200 830'
block = 'cap stand'
outputs = all
[]
[interconnected_porosity]
type = ADParsedMaterial
block = 'fuel'
property_name = interconnected_porosity
material_property_names = 'porosity interconnectivity'
expression = 'porosity * interconnectivity'
outputs = all
[]
[fission_rate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${fuel_radius}
initial_X_Zr=${initial_X_Zr}
X_Zr = ${initial_X_Zr}
X_Pu_function = 0
block = 'fuel'
outputs = all
[]
[fission_rate_elongate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors_extended
pellet_radius = ${fuel_radius}
# initial_X_Zr=${initial_X_Zr}
X_Zr = ${initial_X_Zr}
X_Pu_function = 0
block = 'cladding'
outputs = all
fission_rate_name = fission_rate
[]
[burnup]
type = ADUPuZrBurnup
initial_X_Zr = ${initial_X_Zr}
initial_X_Pu = 0
density = ${fuel_density}
block = 'fuel'
outputs = all
[]
[burnup_elongate]
type = ADUPuZrBurnup
initial_X_Pu = 0
initial_X_Zr = ${initial_X_Zr}
outputs = all
block = cladding
density = ${fuel_density}
burnup_name = burnup
[]
[fuel_elastic_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'hotpress fuel_upuzrcreep gas_swelling'
block = 'fuel'
outputs = all
[]
[hotpress]
type = ADUPuZrHotPressingStressUpdate
block = 'fuel'
outputs = all
surface_energy = 1.6
plenum_pressure = plenum_pressure
porosity_name = porosity
max_inelastic_increment = 1e-1
interconnectivity = interconnectivity
bubble_concentration = ${bubble_concentration}
temperature = temp
creep_model = MFH
fission_rate = fission_rate
atomic_volume = 2.15e-29
porosity_start = 0.01
porosity_end = 0
grain_boundary_D0 = 4e-29
grain_boundary_Q = 0
absolute_tolerance = 1e-9
[]
[porosity]
type = ADPorosityFromStrain
block = 'fuel'
initial_porosity = 1e-10
inelastic_strain = 'combined_inelastic_strain'
outputs = all
[]
[fuel_elasticity_tensor]
type = ADUPuZrElasticityTensor
X_Zr = ${initial_X_Zr}
X_Pu = 0
youngs_model = LANL
block = 'fuel'
temperature = temp
use_old_porosity = true
outputs = all
output_properties = 'youngs_modulus poissons_ratio'
[]
[fuel_upuzrcreep]
type = ADUPuZrCreepUpdate
block = 'fuel'
temperature = temp
porosity = porosity
use_old_porosity = true
max_inelastic_increment = 1e-1
outputs = all
automatic_differentiation_return_mapping = false
[]
[fuel_thermal_expansion]
type = ADUPuZrThermalExpansionEigenstrain
block = 'fuel'
temperature = temp
stress_free_temperature = 298.0
eigenstrain_name = fuel_thermal_strain
outputs = all
thermal_expansion_model = LANL
X_Zr = ${initial_X_Zr}
X_Pu = 0
[]
[gas_swelling]
type = ADSimpleFissionGasViscoplasticityStressUpdate
temperature = temp
outputs = all
block = 'fuel'
bubble_concentration = ${bubble_concentration}
initial_bubble_concentration = ${bubble_concentration}
compute_interconnectivity = true
fission_gas_yield = 0.3017 #0.25
fission_rate = fission_rate
initial_atoms_per_bubble = 1e-05
initial_bubble_radius = 1e-15
initial_fgm_dissolved = 0
interconnection_cutoff = 0.99
interconnection_initiating_porosity = 0.23
interconnection_terminating_porosity = 0.25
max_inelastic_increment = 1e-2
retained_gas_fraction = 0.25
interconnection_dependent_retained_gas_fraction = 0.5
surface_energy = 1.6
anisotropic_factor = 0.26
initial_porosity = 1e-10
[]
[solid_swelling]
type = ADBurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = 'fuel'
swelling_name = 'solid_swelling'
outputs = all
[]
[metal_fuel_thermal]
type = ADUPuZrThermal
block = 'fuel'
X_Zr = ${initial_X_Zr}
X_Pu = 0
spheat_model = savage
porosity = porosity
temperature = temp
outputs = all
porosity_model = logged
sodium_logged_porosity = sodium_logged_porosity
[]
[sodium_logging]
type = ADUPuZrSodiumLogging
block = 'fuel'
porosity = porosity
interconnectivity = interconnectivity
sodium_infiltration_fraction = 0.28
outputs = all
[]
[fuel_density]
type = ADStrainAdjustedDensity
block = 'fuel'
strain_free_density = ${fuel_density}
outputs = all
[]
[fast_neutron_flux]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors
rod_ave_lin_pow = flux_history
block = fuel
factor = 1.0
outputs = all
[]
[fast_neutron_flux_elongate]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors_elongate
rod_ave_lin_pow = flux_history
block = cladding
factor = 1.0
outputs = all
[]
[cladding_elasticity_tensor]
type = ADHT9ElasticityTensor
temperature = temp
block = 'cladding'
outputs = all
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
output_properties = 'youngs_modulus poissons_ratio'
[]
[cladding_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'cladding_creep'
block = 'cladding'
outputs = all
[]
[cladding_creep]
type = ADHT9CreepUpdate
block = 'cladding'
temperature = temp
outputs = all
primary_creep_model = MFH
secondary_creep_model = MFH
tertiary_creep_model = MFH
irradiation_creep_model = MFH
use_effective_time_for_tertiary = true
use_effective_time_for_primary = true
fast_neutron_flux = fast_neutron_flux
[]
[thermal_expansion]
type = ADHT9ThermalExpansionEigenstrain
block = 'cladding'
temperature = temp
stress_free_temperature = 298.0
eigenstrain_name = cladding_thermal_eigenstrain
outputs = all
[]
[cladding_thermal]
type = ADHT9Thermal
block = 'cladding'
temperature = temp
outputs = all
[]
[cladding_density]
type = ADStrainAdjustedDensity
block = 'cladding'
strain_free_density = ${cladding_density}
outputs = all
[]
[wastage_thickness]
type = ADMetallicFuelWastage
method = burnup_ht9_opt
burnup = burnup
temperature = temp
scale_factor = 1
block = 'cladding'
outputs = all
[]
[cc_wastage_thickness]
type = ADMetallicFuelCoolantWastage
clad_material = HT9
use_effective_method = true
temperature = temp
scale_factor = 1
block = 'cladding'
outputs = all
[]
[]
[Dampers]
[disp_x]
type = MaxIncrement
variable = disp_x
max_increment = 1e-4
[]
[disp_y]
type = MaxIncrement
variable = disp_y
max_increment = 1e-3
[]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[vcp]
type = VCP
full = true
primary_variable = 'disp_x disp_y temp'
preconditioner = 'LU'
adaptive_condensation = true
lm_variable = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
is_lm_coupling_diagonal = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -snes_force_iteration'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-15 1'
line_search = 'none'
snesmf_reuse_base = false
verbose = true
l_max_its = 60
nl_max_its = 15 #20
nl_rel_tol = 5e-6
nl_abs_tol = 5e-9
end_time = ${run_time}
dtmin = 1
dtmax = ${max_time_step}
automatic_scaling = true
compute_scaling_once = false
off_diagonals_in_auto_scaling = true
ignore_variables_for_autoscaling = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = time_step_limit
force_step_every_function_point = true
max_function_change = 300
timestep_limiting_function = power_history
dt = 1e2
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
# elemental temperatures
[temp_fuel_avg]
type = ElementAverageValue
variable = temp
block = 'fuel'
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = ElementExtremeValue
variable = temp
block = 'fuel'
[]
[temp_fuel_min]
type = ElementExtremeValue
variable = temp
block = 'fuel'
value_type = min
[]
[temp_cladding_avg]
type = ElementAverageValue
variable = temp
block = 'cladding'
[]
[temp_cladding_max]
type = ElementExtremeValue
variable = temp
block = 'cladding'
[]
[temp_cladding_min]
type = ElementExtremeValue
variable = temp
block = 'cladding'
value_type = min
[]
# boundary temperatures
[temp_gas_avg]
type = ElementAverageValue
block = 'cap'
variable = temp
execute_on = 'initial timestep_end'
[]
# Beyond gap closure, sodium temperarture is almost the same as the cap.
[temp_sodium_avg]
type = ElementAverageValue
block = 'cap'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_inside_surfaces_avg]
type = SideAverageValue
boundary = 'inside_surfaces'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_centerline_avg]
type = AxisymmetricCenterlineAverageValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_max]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_min]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
value_type = min
[]
[temp_fuel_surface_avg]
type = SideAverageValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_max]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_min]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
value_type = min
[]
[temp_cladding_inside_right_avg]
type = SideAverageValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_inside_right_max]
type = NodalExtremeValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_outside_right_avg]
type = SideAverageValue
boundary = 'cladding_outside_right'
variable = temp
[]
# stresses
[stress_vonmises_fuel_avg]
type = ElementAverageValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_max]
type = ElementExtremeValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = 'fuel'
[]
[stress_hydro_fuel_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = 'fuel'
[]
[stress_vonmises_cladding_avg]
type = ElementAverageValue
variable = vonmises_stress
block = 'cladding'
[]
[stress_vonmises_cladding_max]
type = ElementExtremeValue
variable = vonmises_stress
block = 'cladding'
[]
[stress_vonmises_cladding_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = 'cladding'
[]
[stress_hydro_cladding_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = 'cladding'
[]
[stress_hydro_cladding_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = 'cladding'
[]
[stress_hydro_cladding_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = 'cladding'
[]
[contact_pressure_max]
type = NodalExtremeValue
variable = fuel_cladding_mechanical_normal_lm
boundary = 'fuel_outer_radial_surface'
[]
# strain information
[strain_solid_swelling_fuel_avg]
type = ElementAverageValue
variable = solid_swelling
block = 'fuel'
[]
[strain_gas_swelling_fuel_avg]
type = ElementAverageValue
variable = effective_fission_gas_strain
block = 'fuel'
[]
[strain_hot_pressing_fuel_avg]
type = ElementAverageValue
variable = effective_hot_pressing_strain
block = 'fuel'
[]
[strain_volumetric_fuel_avg]
type = ElementAverageValue
variable = firstinv_strain
block = 'fuel'
[]
[strain_axial_fuel_avg]
type = ParsedPostprocessor
pp_names = 'disp_y_fuel_top_surface_avg disp_y_fuel_bottom_surface_avg'
expression = '(disp_y_fuel_top_surface_avg - disp_y_fuel_bottom_surface_avg) / ${fuel_height}'
[]
[disp_y_fuel_top_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_top_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_bottom_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_y_fuel_bottom_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_x_fuel_radial_surface_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_fuel_radial_surface_avg]
type = SideAverageValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_cladding_interior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_interior_min]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
value_type = min
[]
[disp_x_cladding_interior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_exterior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[disp_x_cladding_exterior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[anisotropic_swelling_factor]
type = FunctionValuePostprocessor
function = anisotropic_swelling_factor
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = fuel_outside_all
[]
# geometric information
[volume_cladding_interior]
type = InternalVolume
boundary = 'cladding_inside_all'
[]
[volume_fuel]
type = InternalVolume
boundary = 'fuel_outside_all'
execute_on = 'initial timestep_end'
[]
[volume_plenum]
type = InternalVolume
boundary = 'inside_surfaces'
execute_on = 'initial timestep_end'
addition = sodium_volume
[]
[plenum_ratio]
type = ParsedPostprocessor
pp_names = 'volume_plenum volume_fuel'
expression = 'volume_plenum / volume_fuel'
execute_on = 'initial timestep_end'
[]
[volume_sodium]
type = FunctionValuePostprocessor
function = sodium_volume
execute_on = 'initial timestep_end'
[]
# energy information
[flux_clad]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'cladding_inside_right'
diffusivity = thermal_conductivity
[]
[flux_fuel]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'fuel_contact_surfaces'
diffusivity = thermal_conductivity
[]
[power_integral]
type = ADElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
[]
[linear_heat_generation_rate]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[burnup_avg]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[burnup_max]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fission_rate_avg]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
# fission gas information
[fg_produced]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_produced
block = fuel
[]
[fg_released]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_released
block = fuel
execute_on = 'initial timestep_end'
[]
[fg_percent]
type = FGRPercent
fission_gas_released = fg_released
fission_gas_generated = fg_produced
[]
[interconnected_porosity_fuel_avg]
type = ElementAverageValue
variable = interconnected_porosity
block = fuel
execute_on = 'initial timestep_end'
[]
[porosity_fuel_avg]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[porosity_fuel_max]
type = ElementExtremeValue
variable = porosity
block = fuel
[]
[porosity_fuel_min]
type = ElementExtremeValue
variable = porosity
value_type = min
block = fuel
[]
[porosity_sodium_logging_avg]
type = ElementAverageValue
variable = sodium_logged_porosity
block = fuel
[]
# extras
[actual_time_step_limit]
type = MaterialTimeStepPostprocessor
block = 'fuel cladding'
outputs = none
[]
[time_step_limit]
type = ParsedPostprocessor
expression = 'if(actual_time_step_limit > max_dt, max_dt, actual_time_step_limit)'
pp_names = 'actual_time_step_limit'
constant_names = 'max_dt'
constant_expressions = '${max_time_step}'
[]
[max_wastagethickness]
type = ElementExtremeValue
value_type = max
variable = wastage_thickness
[]
[max_wst_temp]
type=ElementExtremeValue
value_type=max
variable=temp
proxy_variable=wastage_thickness
block='cladding'
[]
[max_wst_burnup]
type=ElementExtremeValue
value_type=max
variable=burnup
proxy_variable=wastage_thickness
block='cladding'
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[]
[VectorPostprocessors]
[id_wastage]
type = FuelRodLineValueSampler
variable = wastage_thickness
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = csv_wst_a
[]
[od_wastage]
type = FuelRodLineValueSampler
variable = cc_wastage_thickness
material = 'clad'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[nrad_comparison_a]
type = FIPDAxialPIEComparison
boundary = cladding_outside_right
sort_by = y
csv_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /X447A_ ${pin_id} _PR.csv'}
variable = disp_x
thermal_strain_variable = clad_thm_exp
involved_component = cladding
mesh_generator = gen
series_type_to_read = 'Cladding O.D. (mils)'
outputs = csv_vpp_a
enable = ${enable_a}
[]
[]
[PerformanceMetricOutputs]
outputs = 'console'
[]
[Outputs]
print_linear_residuals = true
color = true
perf_graph = true
sync_times=${time_spots}
[checkpoint]
type = Checkpoint
sync_times = '19339200'
file_base = 'midpoint_cp'
[]
[exodus]
type = Exodus
time_step_interval = 500
sync_times = ${time_spots}
enable = false
file_base = 'x447_${pin_id}_exodus'
[]
[console]
type = Console
show = 'time_step_size max_fuel_elongation burnup_avg max_wastagethickness'
[]
[csv_vpp_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
execute_postprocessors_on = none
create_latest_symlink = true
file_base = 'x447_${pin_id}_csv_vpp_a'
[]
[csv_wst_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
execute_postprocessors_on = none
create_latest_symlink = true
file_base = 'x447_${pin_id}_csv_wst_a'
[]
[csv_general]
type = CSV
sync_only = true
sync_times = ${time_spots}
enable = true
file_base = 'x447_${pin_id}_csv_general'
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(test/tests/solid_mechanics/ht9_mechanics/mech_only_temp_ramp.i)
#--------------------------------------------------------------------------------
#
# This regression test is designed to test the calculation of the elastic
# modulus of HT9 over a range of temperatures without accounting for thermal
# strains.
#
# - Geometry:
# R = 1.0 m
# H = 1.0 m
#
# - Square domain with patch test mesh
#
# - Temperature = 300K to 600K
#
# - Boundary conditions:
# axial stress = -100 MPa at the top
#
# - Result (Hand calc.):
# Temp(K) Strain_xx Strain_yy Disp_x Disp_y
# 330 9.6234E-05 -4.8134E-04 9.6239E-05 -4.8122E-04
# 360 9.9989E-05 -4.8855E-04 9.9994E-05 -4.8843E-04
# 390 1.0395E-04 -4.9599E-04 1.0395E-04 -4.9587E-04
# 420 1.0813E-04 -5.0366E-04 1.0813E-04 -5.0353E-04
# 450 1.1254E-04 -5.1156E-04 1.1255E-04 -5.1143E-04
# 480 1.1721E-04 -5.1972E-04 1.1722E-04 -5.1959E-04
# 510 1.2216E-04 -5.2814E-04 1.2217E-04 -5.2801E-04
# 540 1.2740E-04 -5.3685E-04 1.2741E-04 -5.3670E-04
# 570 1.3296E-04 -5.4584E-04 1.3297E-04 -5.4569E-04
# 600 1.3886E-04 -5.5514E-04 1.3887E-04 -5.5498E-04
#
# Computations in ht9_mech_therm_props.xlsx
#
#--------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
[patch]
type = ExamplePatchMeshGenerator
dim = 2
x_length = 1
y_length = 1
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[AuxVariables]
[temperature]
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = FINITE
decomposition_method = EigenSolution
add_variables = true
generate_output = 'stress_xx stress_yy elastic_strain_xx elastic_strain_yy strain_xx strain_yy'
[]
[]
[AuxKernels]
[temperature]
type = FunctionAux
variable = temperature
function = '300 + 30 * t'
[]
[]
[BCs]
[Pressure]
[top_surface]
boundary = top
factor = 100e6
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[]
[u_left_fix]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[]
[]
[Materials]
[mechHT9]
type = HT9ElasticityTensor
temperature = temperature
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[]
[Executioner]
type = Transient
nl_rel_tol = 1e-10
end_time = 10.0
[]
[Postprocessors]
[disp_x8]
type = NodalVariableValue
nodeid = 4
variable = disp_x
[]
[disp_x2]
type = NodalVariableValue
nodeid = 1
variable = disp_x
[]
[disp_y8]
type = NodalVariableValue
nodeid = 6
variable = disp_y
[]
[disp_y7]
type = NodalVariableValue
nodeid = 6
variable = disp_y
[]
[avg_stress_xx]
type = ElementAverageValue
variable = stress_xx
[]
[avg_stress_yy]
type = ElementAverageValue
variable = stress_yy
[]
[avg_strain_xx]
type = ElementAverageValue
variable = elastic_strain_xx
[]
[avg_strain_yy]
type = ElementAverageValue
variable = elastic_strain_yy
[]
[tot_strain_xx]
type = ElementAverageValue
variable = strain_xx
[]
[tot_strain_yy]
type = ElementAverageValue
variable = strain_yy
[]
[]
[Outputs]
csv = true
[]
(assessment/metallic_fuel/WPF/analysis/X425_T418/X425_base.i)
# X425 Steady State Irradiation Base Input File
gap_bottom_length = 0.31e-3
top_bot_cladding_height = 2.24e-3
# calculations
cladding_ir = '${fparse fuel_radius + cladding_gap_width}'
gas_plenum_height = '${fparse plenum_volume / pi / cladding_ir^2}'
fuel_y_start = '${fparse gap_bottom_length + top_bot_cladding_height}'
alpha_start = 877
alpha_end = 936
bubble_concentration = 1e15
cladding_block = 'cladding cladding_tri'
# A relatively coarse radial mesh density can be used
# since localized refining is done by TRI3 elements
clad_n_rad = 10
[GlobalParams]
order = FIRST
energy_per_fission = 3.2e-11 # J/fission
displacements = 'disp_x disp_y'
alpha_transition_end = ${alpha_end}
alpha_transition_start = ${alpha_start}
[]
[Problem]
type = ReferenceResidualProblem
reference_vector = 'ref'
extra_tag_vectors = 'ref'
group_variables = 'disp_x disp_y'
converge_on = 'disp_x disp_y temp'
[]
[Mesh]
# Pin design parameters from FIPD database
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} / ${pin_id} _design.csv'}
gap_bottom_length = 0.31e-3 # arbitrary
cladding_bottom_plug_length = 2.24e-3 # arbitrary
cladding_top_plug_length = 2.24e-3 # arbitrary
cladding_sidewall_radial_elements = ${clad_n_rad}
cladding_sidewall_axial_element_intervals = '0 0.540 0.625 1.0'
cladding_sidewall_axial_element_numbers = '150 1000 150'
use_tri_for_cladding_sidewall = '0 1 0'
cladding_top_plug_radial_elements = 10
cladding_top_plug_axial_elements = 5
cladding_bottom_plug_axial_elements = 5
fuel_radial_elements = 10
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '1000'
tri_element_size_factor = 0.4
elem_type = QUAD4
make_stand = true
make_cap = true
cap_axial_elements = 15
stand_axial_elements = 15
[]
[sodium_height]
type = SideSetsFromBoundingBoxGenerator
input = gen
bottom_left = '0 0 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${fparse fuel_y_start + fuel_height} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1005'
[]
[gas_height]
type = SideSetsFromBoundingBoxGenerator
input = sodium_height
bottom_left = '0 ${fparse fuel_y_start + fuel_height} 0'
top_right = '${fparse cladding_ir + cladding_thickness} ${fparse fuel_y_start + fuel_height + gas_plenum_height + top_bot_cladding_height} 0'
included_boundaries = 'cladding_inside_right'
boundary_new = '1006'
[]
[sodium_plenum_rename]
type = RenameBoundaryGenerator
input = gas_height
old_boundary = '1005 1006'
new_boundary = 'sodium_height gas_height'
[]
patch_size = 40
patch_update_strategy = always
partitioner = centroid
centroid_partitioner_direction = y
coord_type = RZ
[]
[Variables]
[temp]
initial_condition = 298
block = 'fuel ${cladding_block} cap stand'
[]
[disp_x]
block = 'fuel ${cladding_block} cap stand'
[]
[disp_y]
block = 'fuel ${cladding_block} cap stand'
[]
[]
[Functions]
[fflux_axial_peaking_factors] # Fast flux peaking factor from FIPD database; used for fuel related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
[]
[fflux_axial_peaking_factors_elongate] # Fast flux peaking factor from FIPD database; used for cladding related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
fuel_elongation_pp = max_fuel_elongation # pp used to track fuel elongation
[]
[flux_history] # Time-dependent pin average fast flux from FIPD database
type = PiecewiseLinear
data_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} /flux_history_ ${pin_id} .csv'}
[]
[clad_od_temp] # Time-dependent cladding OD temperature from FIPD database
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} /clad_od_temp_history_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
[]
[ab_sodium_vol]
type = MeshPropertyFunction
mesh_generator = gen
mesh_property_name = sodium_volume
scale_factor = -1.0
[]
[sodium_volume]
# Need to account for the factor that hot pressing is also occupying the open pores
type = ParsedFunction
symbol_names = 'porosity_sodium_logging_avg volume_fuel raw_sodium_vol temp_sodium_avg'
symbol_values = 'porosity_sodium_logging_avg volume_fuel ab_sodium_vol temp_sodium_avg'
# Note the the symbol before volume_fuel should be negative as volume_fuel itself is negative
expression = 'raw_sodium_vol * 954 / (1012 - 0.23 * temp_sodium_avg) - volume_fuel * porosity_sodium_logging_avg'
[]
[power_history] # Time-dependent pin average power from FIPD database
type = PiecewiseLinear
data_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} /power_history_ ${pin_id} .csv'}
[]
[axial_peaking_factors]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
[]
[axial_peaking_factors_extended]
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../fipd-bison-integration-data/ ${exp_id} / ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
fuel_elongation_pp = max_fuel_elongation # pp used to track fuel elongation
[]
[anisotropic_swelling_factor]
type = ParsedFunction
symbol_names = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg fuel_height fuel_radius'
symbol_values = 'disp_x_fuel_radial_surface_avg disp_y_fuel_top_surface_avg ${fuel_height} ${fuel_radius}'
expression = '(disp_x_fuel_radial_surface_avg / ${fuel_radius}) / (disp_y_fuel_top_surface_avg / ${fuel_height})'
[]
[gap_thermal_conductivity]
type = ParsedFunction
expression = '124.67 - 0.11381 * t + 5.5226e-5 * t^2 - 1.1842e-8 * t^3'
[]
[id_vpp_func] # vpp_function used to track FCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = id_wastage
argument_column = y
wastage_type = ID
value_column = wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[od_vpp_func] # vpp_function used to track CCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = od_wastage
argument_column = y
wastage_type = OD
value_column = cc_wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[fuel_melt_func]
type = MetallicFuelMeltingFunction
vectorpostprocessor_name = fuel_melting
argument_column = y
value_column = fuel_melting_thickness
use_metadata = true
mesh_generator = 'gen'
transition_width = 2e-4
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[fuel]
block = fuel
strain = FINITE
generate_output = 'firstinv_strain stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
eigenstrain_names = 'fuel_thermal_strain solid_swelling_eigenstrain'
use_automatic_differentiation = true
volumetric_locking_correction = true
[]
[cladding]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = '${cladding_block}'
eigenstrain_names = 'cladding_thermal_eigenstrain'
use_automatic_differentiation = true
volumetric_locking_correction = true
[]
[]
[Kernels]
[gravity]
type = ADGravity
block = 'fuel ${cladding_block}'
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = ADHeatConduction
block = 'fuel ${cladding_block} cap stand'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie]
type = ADHeatConductionTimeDerivative
block = 'fuel ${cladding_block} cap stand'
variable = temp
extra_vector_tags = 'ref'
[]
[heat_source]
type = ADFissionRateHeatSource
variable = temp
block = 'fuel'
fission_rate = fission_rate
extra_vector_tags = 'ref'
energy_deposited_in_fuel = 0.95
[]
[disp_x_dt]
type = ADTimeDerivative
variable = disp_x
block = ' cap stand'
extra_vector_tags = 'ref'
[]
[disp_y_dt]
type = ADTimeDerivative
variable = disp_y
block = 'cap stand'
extra_vector_tags = 'ref'
[]
[disp_x_diff]
type = ADMatAnisoDiffusion
variable = disp_x
block = 'cap stand'
diffusivity = d_x
extra_vector_tags = 'ref'
[]
[disp_y_diff]
type = ADMatDiffusion
variable = disp_y
block = 'cap stand'
diffusivity = 1e8
extra_vector_tags = 'ref'
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_bottom = cladding_outside_bottom
clad_inner_wall = cladding_inside_right
clad_outer_wall = cladding_outside_right
clad_top = cladding_outside_top
pellet_exteriors = fuel_outside_all
[]
[fuel_thm_exp]
type = LayeredAverage
variable = fuel_thermal_strain_xx
direction = y
num_layers = 1000
block = fuel
[]
[clad_thm_exp]
type = LayeredAverage
variable = clad_thermal_eigenstrain_xx
direction = y
num_layers = 1000
block = ${cladding_block}
[]
[]
[Contact]
[fuel_cladding_mechanical]
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
model = coulomb
friction_coefficient = 0.1
formulation = mortar
c_normal = '${fparse 1e17 * magic_factor}'
c_tangential = '${fparse 1e19 * magic_factor}'
correct_edge_dropping = true
[]
[]
[MortarGapHeatTransfer]
[inside2outside]
temperature = temp
boundary = 'cladding_inside_right'
gap_conductivity_function = gap_thermal_conductivity
gap_conductivity_function_variable = temp
primary_boundary = cladding_inside_right
secondary_boundary = fuel_contact_surfaces
gap_flux_options = 'CONDUCTION'
ghost_point_neighbors = true
[]
[]
[BCs]
[no_x_all]
type = ADDirichletBC
variable = disp_x
boundary = 'centerline cap_top'
value = 0.0
preset = false
[]
[no_y_clad]
type = ADDirichletBC
variable = disp_y
boundary = 'cladding_inside_bottom'
value = 0.0
preset = false
[]
[Pressure]
[coolantPressure]
boundary = 'cladding_outside_right'
factor = 0.151e6
use_automatic_differentiation = true
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 'inside_surfaces'
initial_pressure = 84116 # in Pa, 12.2 psi
startup_time = 0
R = 8.3143
temperature = temp_gas_avg
volume = volume_plenum
output = plenum_pressure
material_input = fg_released
use_automatic_differentiation = true
[]
[]
[surf] # Setting temperature BC base on FIPD data
type = ADFunctionDirichletBC
variable = temp
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = clad_od_temp
[]
[]
[AuxVariables]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[relx]
[]
[clad_thm_exp]
order = CONSTANT
family = MONOMIAL
block = '${cladding_block}'
[]
[clad_thermal_eigenstrain_xx]
order = CONSTANT
family = MONOMIAL
block = '${cladding_block}'
[]
[fuel_thermal_strain_xx]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thermal_strain_yy]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thm_exp]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[func_val1]
[]
[func_val2]
[]
[func_val3]
[]
# OPTD Dummy during this stage
[pen_thick_aux]
family = MONOMIAL
order = CONSTANT
block = 'fuel ${cladding_block}'
[]
[total_id_reduction]
family = MONOMIAL
order = CONSTANT
block = 'fuel ${cladding_block}'
[]
[fast_neutron_fluence_aux]
order = CONSTANT
family = MONOMIAL
block = '${cladding_block}'
[]
[]
[AuxKernels]
[func_val1]
type = FunctionAux
function = id_vpp_func
variable = func_val1
block = 'cladding cladding_tri'
[]
[func_val2]
type = FunctionAux
function = od_vpp_func
variable = func_val2
block = 'cladding cladding_tri'
[]
[func_val3]
type = FunctionAux
function = fuel_melt_func
variable = func_val3
block = fuel
[]
[cdf_amount]
block = '${cladding_block}'
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[relx_aux]
type = ParsedAux
variable = relx
block = fuel
use_xyzt = true
expression = 'x / ${fuel_radius}'
[]
[clad_thm_exp]
type = SpatialUserObjectAux
variable = clad_thm_exp
execute_on = 'initial timestep_end'
user_object = clad_thm_exp
block = '${cladding_block}'
[]
[clad_thermal_eigenstrain_xx]
type = ADRankTwoAux
rank_two_tensor = cladding_thermal_eigenstrain
variable = clad_thermal_eigenstrain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = '${cladding_block}'
[]
[fuel_thermal_strain_xx]
type = ADRankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thermal_strain_yy]
type = ADRankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_yy
index_j = 1
index_i = 1
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thm_exp]
type = SpatialUserObjectAux
variable = fuel_thm_exp
execute_on = 'initial timestep_end'
user_object = fuel_thm_exp
block = fuel
[]
# OPTD
[assign_pen_thick_aux]
type = ADMaterialRealAux
variable = pen_thick_aux
property = liquid_penetration
block = 'fuel ${cladding_block}'
[]
[assign_total_id_reduction]
type = ParsedAux
variable = total_id_reduction
coupled_variables = 'pen_thick_aux wastage_thickness'
expression = 'pen_thick_aux + wastage_thickness'
block = 'fuel ${cladding_block}'
[]
[]
[Materials]
[fuel_pen]
type = ADMetallicFuelLiquidCladdingPenetration
temperature = temp
mesh_generator = gen
fuel_elongation_pp = max_fuel_elongation
liquid_penetration_model = 'ANL_CONSERVATIVE'
fuel_pu = Pu_0
burnup = burnup
outputs = all
calculate_fuel_melting_thickness = true
block = 'fuel ${cladding_block}'
[]
[longHT9_failure]
type = HT9FailureClad
block = '${cladding_block}'
method = cdf_long
temperature = temp
outputs = all
hoop_stress = stress_zz # Since 2D-RZ
[]
[d_x]
type = ADConstantAnisotropicMobility
tensor = '1e3 0 0
0 1e6 0
0 0 0'
M_name = d_x
[]
[cap_thcond]
type = ADGenericConstantMaterial
prop_names = 'thermal_conductivity specific_heat density'
prop_values = '65 1200 830'
block = 'cap stand'
outputs = all
[]
[interconnected_porosity]
type = ADParsedMaterial
block = 'fuel'
property_name = interconnected_porosity
material_property_names = 'porosity interconnectivity'
expression = 'porosity * interconnectivity'
outputs = all
[]
[fission_rate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors
pellet_radius = ${fuel_radius}
X_Zr = ${initial_X_Zr}
X_Pu_function = ${X_Pu}
block = 'fuel'
outputs = all
[]
[fission_rate_elongate]
type = ADUPuZrFissionRate
rod_linear_power = power_history
axial_power_profile = axial_peaking_factors_extended
pellet_radius = ${fuel_radius}
X_Zr = ${initial_X_Zr}
X_Pu_function = ${X_Pu}
block = '${cladding_block}'
outputs = all
fission_rate_name = fission_rate
[]
[burnup]
type = ADUPuZrBurnup
initial_X_Zr = ${initial_X_Zr}
initial_X_Pu = ${X_Pu}
density = ${fuel_density}
block = 'fuel'
outputs = all
[]
[burnup_elongate]
type = ADUPuZrBurnup
initial_X_Pu = ${X_Pu}
initial_X_Zr = ${initial_X_Zr}
outputs = all
block = '${cladding_block}'
density = ${fuel_density}
burnup_name = burnup
[]
[fuel_elastic_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'hotpress fuel_upuzrcreep gas_swelling'
block = 'fuel'
outputs = all
[]
[hotpress]
type = ADUPuZrHotPressingStressUpdate
block = 'fuel'
outputs = all
surface_energy = 1.6
plenum_pressure = plenum_pressure
porosity_name = porosity
max_inelastic_increment = 1e-1
interconnectivity = interconnectivity
bubble_concentration = ${bubble_concentration}
temperature = temp
creep_model = MFH
fission_rate = fission_rate
atomic_volume = 2.15e-29
porosity_start = 0.01
porosity_end = 0
grain_boundary_D0 = 4e-29
grain_boundary_Q = 0
absolute_tolerance = 1e-9
[]
[porosity]
type = ADPorosityFromStrain
block = 'fuel'
initial_porosity = 1e-10
inelastic_strain = 'combined_inelastic_strain'
outputs = all
[]
[fuel_elasticity_tensor]
type = ADUPuZrElasticityTensor
X_Zr = ${initial_X_Zr}
X_Pu = ${X_Pu}
youngs_model = LANL
block = 'fuel'
temperature = temp
use_old_porosity = true
outputs = all
output_properties = 'youngs_modulus poissons_ratio'
[]
[fuel_upuzrcreep]
type = ADUPuZrCreepUpdate
block = 'fuel'
temperature = temp
porosity = porosity
use_old_porosity = true
max_inelastic_increment = 1e-1
outputs = all
automatic_differentiation_return_mapping = false
[]
[fuel_thermal_expansion]
type = ADUPuZrThermalExpansionEigenstrain
block = 'fuel'
temperature = temp
stress_free_temperature = 298.0
eigenstrain_name = fuel_thermal_strain
outputs = all
thermal_expansion_model = LANL
X_Zr = ${initial_X_Zr}
X_Pu = ${X_Pu}
[]
[gas_swelling]
type = ADSimpleFissionGasViscoplasticityStressUpdate
temperature = temp
outputs = all
block = 'fuel'
bubble_concentration = ${bubble_concentration}
initial_bubble_concentration = ${bubble_concentration}
compute_interconnectivity = true
fission_gas_yield = 0.3017
fission_rate = fission_rate
initial_atoms_per_bubble = 1e-05
initial_bubble_radius = 1e-15
initial_fgm_dissolved = 0
interconnection_cutoff = 0.99
interconnection_initiating_porosity = 0.23
interconnection_terminating_porosity = 0.25
max_inelastic_increment = 1e-2
retained_gas_fraction = 0.25
interconnection_dependent_retained_gas_fraction = 0.5
surface_energy = 1.6
anisotropic_factor = 0.26
initial_porosity = 1e-10
fuel_melting_function = fuel_melt_func
[]
[solid_swelling]
type = ADBurnupDependentEigenstrain
eigenstrain_name = solid_swelling_eigenstrain
block = 'fuel'
swelling_name = 'solid_swelling'
outputs = all
anisotropic_factor = 0.26
[]
[metal_fuel_thermal]
type = ADUPuZrThermal
block = 'fuel'
X_Zr = ${initial_X_Zr}
X_Pu = ${X_Pu}
spheat_model = savage
porosity = porosity
temperature = temp
outputs = all
porosity_model = logged
sodium_logged_porosity = sodium_logged_porosity
[]
[sodium_logging]
type = ADUPuZrSodiumLogging
block = 'fuel'
porosity = porosity
interconnectivity = interconnectivity
sodium_infiltration_fraction = 0.28
outputs = all
[]
[fuel_density]
type = ADStrainAdjustedDensity
block = 'fuel'
strain_free_density = ${fuel_density}
outputs = all
[]
[fast_neutron_flux]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors
rod_ave_lin_pow = flux_history
block = fuel
factor = 1.0
outputs = all
[]
[fast_neutron_flux_elongate]
type = ADFastNeutronFlux
calculate_fluence = true
axial_power_profile = fflux_axial_peaking_factors_elongate
rod_ave_lin_pow = flux_history
block = '${cladding_block}'
factor = 1.0
outputs = all
[]
[cladding_elasticity_tensor]
type = ADHT9ElasticityTensor
temperature = temp
block = '${cladding_block}'
outputs = all
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
output_properties = 'youngs_modulus poissons_ratio'
[]
[cladding_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'cladding_creep'
block = '${cladding_block}'
outputs = all
[]
[cladding_creep]
type = ADHT9CreepUpdate
block = '${cladding_block}'
temperature = temp
outputs = all
primary_creep_model = MFH
secondary_creep_model = MFH
irradiation_creep_model = MFH
fast_neutron_flux = fast_neutron_flux
[]
[thermal_expansion]
type = ADHT9ThermalExpansionEigenstrain
block = '${cladding_block}'
temperature = temp
stress_free_temperature = 298.0
eigenstrain_name = cladding_thermal_eigenstrain
outputs = all
[]
[cladding_thermal]
type = ADHT9Thermal
block = '${cladding_block}'
temperature = temp
outputs = all
[]
[cladding_density]
type = ADStrainAdjustedDensity
block = '${cladding_block}'
strain_free_density = '${clad_density}'
outputs = all
[]
[wastage_thickness]
type = ADMetallicFuelWastage
method = burnup_ht9_opt
burnup = burnup
temperature = temp
scale_factor = 1
block = '${cladding_block}'
outputs = all
[]
[cc_wastage_thickness]
type = ADMetallicFuelCoolantWastage
clad_material = HT9
use_effective_method = true
temperature = temp
scale_factor = 1
block = '${cladding_block}'
outputs = all
[]
[]
[Dampers]
[disp_x]
type = MaxIncrement
variable = disp_x
max_increment = 1e-4
[]
[disp_y]
type = MaxIncrement
variable = disp_y
max_increment = 1e-3
[]
[temp]
type = MaxIncrement
variable = temp
max_increment = 50
[]
[]
[Preconditioning]
[vcp]
type = VCP
full = true
primary_variable = 'disp_x disp_y temp'
preconditioner = 'LU'
adaptive_condensation = true
lm_variable = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
is_lm_coupling_diagonal = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_type -mat_mffd_err -pc_factor_shift_type -pc_factor_shift_amount -snes_force_iteration'
petsc_options_value = 'lu superlu_dist 1e-5 NONZERO 1e-15 1'
line_search = 'none'
snesmf_reuse_base = false
verbose = true
l_max_its = 60
nl_max_its = 20
nl_rel_tol = 1e-7
nl_abs_tol = 1e-9
end_time = ${run_time}
dtmin = 1e-100
dtmax = ${max_time_step}
automatic_scaling = true
compute_scaling_once = false
off_diagonals_in_auto_scaling = true
ignore_variables_for_autoscaling = 'fuel_cladding_mechanical_normal_lm fuel_cladding_mechanical_tangential_lm inside2outside_thermal_lm'
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_postprocessor = time_step_limit
force_step_every_function_point = true
timestep_limiting_function = power_history
dt = 1e2
iteration_window = 4
optimal_iterations = 10
[]
[]
[Postprocessors]
[_dt]
type = TimestepSize
[]
# elemental temperatures
[temp_fuel_avg]
type = ElementAverageValue
variable = temp
block = 'fuel'
execute_on = 'initial timestep_end'
[]
[temp_fuel_max]
type = ElementExtremeValue
variable = temp
block = 'fuel'
[]
[temp_fuel_min]
type = ElementExtremeValue
variable = temp
block = 'fuel'
value_type = min
[]
[temp_cladding_avg]
type = ElementAverageValue
variable = temp
block = '${cladding_block}'
[]
[temp_cladding_max]
type = ElementExtremeValue
variable = temp
block = '${cladding_block}'
[]
[temp_cladding_min]
type = ElementExtremeValue
variable = temp
block = '${cladding_block}'
value_type = min
[]
# boundary temperatures
[temp_gas_avg]
type = SideAverageValue
boundary = 'gas_height cladding_inside_top'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_sodium_avg]
type = ElementAverageValue
block = 'cap'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_inside_surfaces_avg]
type = SideAverageValue
boundary = 'inside_surfaces'
variable = temp
execute_on = 'initial timestep_end'
[]
[temp_fuel_centerline_avg]
type = AxisymmetricCenterlineAverageValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_max]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
[]
[temp_fuel_centerline_min]
type = NodalExtremeValue
boundary = 'centerline'
variable = temp
value_type = min
[]
[temp_fuel_surface_avg]
type = SideAverageValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_max]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
[]
[temp_fuel_surface_min]
type = NodalExtremeValue
boundary = 'fuel_outer_radial_surface'
variable = temp
value_type = min
[]
[temp_cladding_inside_right_avg]
type = SideAverageValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_inside_right_max]
type = NodalExtremeValue
boundary = 'cladding_inside_right'
variable = temp
[]
[temp_cladding_outside_right_avg]
type = SideAverageValue
boundary = 'cladding_outside_right'
variable = temp
[]
# stresses
[stress_vonmises_fuel_avg]
type = ElementAverageValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_max]
type = ElementExtremeValue
variable = vonmises_stress
block = 'fuel'
[]
[stress_vonmises_fuel_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = 'fuel'
[]
[stress_hydro_fuel_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = 'fuel'
[]
[stress_hydro_fuel_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = 'fuel'
[]
[stress_vonmises_cladding_avg]
type = ElementAverageValue
variable = vonmises_stress
block = '${cladding_block}'
[]
[stress_vonmises_cladding_max]
type = ElementExtremeValue
variable = vonmises_stress
block = '${cladding_block}'
[]
[stress_vonmises_cladding_min]
type = ElementExtremeValue
variable = vonmises_stress
value_type = min
block = '${cladding_block}'
[]
[stress_hydro_cladding_avg]
type = ElementAverageValue
variable = hydrostatic_stress
block = '${cladding_block}'
[]
[stress_hydro_cladding_max]
type = ElementExtremeValue
variable = hydrostatic_stress
block = '${cladding_block}'
[]
[stress_hydro_cladding_min]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = '${cladding_block}'
[]
[contact_pressure_max]
type = NodalExtremeValue
variable = fuel_cladding_mechanical_normal_lm
boundary = 'fuel_outer_radial_surface'
[]
# strain information
[strain_solid_swelling_fuel_avg]
type = ElementAverageValue
variable = solid_swelling
block = 'fuel'
[]
[strain_gas_swelling_fuel_avg]
type = ElementAverageValue
variable = effective_fission_gas_strain
block = 'fuel'
[]
[strain_hot_pressing_fuel_avg]
type = ElementAverageValue
variable = effective_hot_pressing_strain
block = 'fuel'
[]
[strain_volumetric_fuel_avg]
type = ElementAverageValue
variable = firstinv_strain
block = 'fuel'
[]
[strain_axial_fuel_avg]
type = ParsedPostprocessor
pp_names = 'disp_y_fuel_top_surface_avg disp_y_fuel_bottom_surface_avg'
expression = '(disp_y_fuel_top_surface_avg - disp_y_fuel_bottom_surface_avg) / ${fuel_height}'
[]
[disp_y_fuel_top_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_top_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_top'
[]
[disp_y_fuel_bottom_surface_avg]
type = SideAverageValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_y_fuel_bottom_surface_max]
type = NodalExtremeValue
variable = disp_y
boundary = 'fuel_bottom'
[]
[disp_x_fuel_radial_surface_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_fuel_radial_surface_avg]
type = SideAverageValue
variable = disp_x
boundary = 'fuel_outer_radial_surface'
[]
[disp_x_cladding_interior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_interior_min]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_inside_right'
value_type = min
[]
[disp_x_cladding_interior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_inside_right'
[]
[disp_x_cladding_exterior_max]
type = NodalExtremeValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[disp_x_cladding_exterior_avg]
type = SideAverageValue
variable = disp_x
boundary = 'cladding_outside_right'
[]
[anisotropic_swelling_factor]
type = FunctionValuePostprocessor
function = anisotropic_swelling_factor
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = fuel_outside_all
[]
# geometric information
[volume_cladding_interior]
type = InternalVolume
boundary = 'cladding_inside_all'
[]
[volume_fuel]
type = InternalVolume
boundary = 'fuel_outside_all'
execute_on = 'initial timestep_end'
[]
[volume_plenum]
type = InternalVolume
boundary = 'inside_surfaces'
execute_on = 'initial timestep_end'
addition = sodium_volume
[]
[plenum_ratio]
type = ParsedPostprocessor
pp_names = 'volume_plenum volume_fuel'
expression = 'volume_plenum / volume_fuel'
execute_on = 'initial timestep_end'
[]
[volume_sodium]
type = FunctionValuePostprocessor
function = sodium_volume
execute_on = 'initial timestep_end'
[]
# energy information
[flux_clad]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'cladding_inside_right'
diffusivity = thermal_conductivity
[]
[flux_fuel]
type = ADSideDiffusiveFluxIntegral
variable = temp
boundary = 'fuel_contact_surfaces'
diffusivity = thermal_conductivity
[]
[power_integral]
type = ADElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
[]
[linear_heat_generation_rate]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[burnup_avg]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[burnup_max]
type = ElementExtremeValue
block = fuel
variable = burnup
[]
[fission_rate_avg]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
# fission gas information
[fg_produced]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_produced
block = fuel
[]
[fg_released]
type = ADElementIntegralMaterialProperty
mat_prop = fgm_released
block = fuel
execute_on = 'initial timestep_end'
[]
[fg_percent]
type = FGRPercent
fission_gas_released = fg_released
fission_gas_generated = fg_produced
[]
[interconnected_porosity_fuel_avg]
type = ElementAverageValue
variable = interconnected_porosity
block = fuel
execute_on = 'initial timestep_end'
[]
[porosity_fuel_avg]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[porosity_fuel_max]
type = ElementExtremeValue
variable = porosity
block = fuel
[]
[porosity_fuel_min]
type = ElementExtremeValue
variable = porosity
value_type = min
block = fuel
[]
[porosity_sodium_logging_avg]
type = ElementAverageValue
variable = sodium_logged_porosity
block = fuel
[]
# extras
[actual_time_step_limit]
type = MaterialTimeStepPostprocessor
block = 'fuel ${cladding_block}'
outputs = none
[]
[time_step_limit]
type = ParsedPostprocessor
expression = 'if(actual_time_step_limit > 1e6, 1e6, actual_time_step_limit)'
pp_names = 'actual_time_step_limit'
[]
[max_wastagethickness]
type = ElementExtremeValue
value_type = max
variable = wastage_thickness
# outputs = 'console'
[]
[max_wst_temp]
type = ElementExtremeValue
value_type = max
variable = temp
proxy_variable = wastage_thickness
block = '${cladding_block}'
[]
[max_wst_burnup]
type = ElementExtremeValue
value_type = max
variable = burnup
proxy_variable = wastage_thickness
block = '${cladding_block}'
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[]
[VectorPostprocessors]
[id_wastage]
type = FuelRodLineValueSampler
variable = wastage_thickness
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = csv_wst_a
[]
[id_pen_total]
type = FuelRodLineValueSampler
variable = total_id_reduction
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[od_wastage]
type = FuelRodLineValueSampler
variable = cc_wastage_thickness
material = 'clad'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[fuel_melting]
type = FuelRodLineValueSampler
variable = fuel_melting_thickness
material = 'fuel'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[]
[PerformanceMetricOutputs]
outputs = 'console'
[]
[Outputs]
print_linear_residuals = true
color = true
perf_graph = true
sync_times = ${time_spots}
[checkpoint]
type = Checkpoint
time_step_interval = 1
[]
[exodus]
type = Exodus
time_step_interval = 500
sync_times = ${time_spots}
enable = false
[]
[console]
type = Console
show = 'time_step_size temp_fuel_avg temp_fuel_centerline_max temp_cladding_avg temp_cladding_max stress_vonmises_fuel_max stress_hydro_fuel_max stress_hydro_fuel_min contact_pressure_max strain_axial_fuel_avg power_integral burnup_avg fission_rate_avg fg_percent porosity_fuel_avg time_step_limit anisotropic_swelling_factor plenum_ratio volume_fuel volume_plenum max_wastagethickness max_cdf'
[]
[csv_wst_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
execute_postprocessors_on = none
create_latest_symlink = true
[]
[csv_general]
type = CSV
sync_only = true
sync_times = ${time_spots}
enable = true
[]
[]
[Debug]
show_var_residual = 'disp_x disp_y temp'
show_var_residual_norms = true
[]
(assessment/metallic_fuel/FBTA/analysis/steady_state/common_inputs/ht9_clad_base.i)
# HT9 Cladding
clad_density = 7778.0 # HT9 RT Density MFH
[Physics/SolidMechanics/QuasiStatic]
[cladding]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
extra_vector_tags = 'ref'
block = '${cladding_block}'
eigenstrain_names = 'cladding_thermal_eigenstrain' # No swelling considered for HT9
use_automatic_differentiation = true
volumetric_locking_correction = true
[]
[]
[Materials]
[clad_elasticity_tensor]
type = ADHT9ElasticityTensor
temperature = temp
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
block = ${cladding_block}
[]
[clad_stress]
type = ADComputeMultipleInelasticStress
inelastic_models = 'clad_creep'
block = ${cladding_block}
[]
[clad_creep]
type = ADHT9CreepUpdate
block = ${cladding_block}
temperature = temp
fast_neutron_flux = fast_neutron_flux
primary_creep_model = MFH
secondary_creep_model = MFH
irradiation_creep_model = MFH
use_effective_time_for_primary = true
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
[]
[thermal_expansion]
type = ADHT9ThermalExpansionEigenstrain
block = ${cladding_block}
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = cladding_thermal_eigenstrain
outputs = all
[]
[clad_thermal]
type = ADHT9Thermal
block = ${cladding_block}
temperature = temp
[]
[clad_density]
type = ADStrainAdjustedDensity
block = ${cladding_block}
strain_free_density = ${clad_density}
[]
[clad_failure]
type = HT9FailureClad
block = ${cladding_block}
method = cdf_long
temperature = temp
outputs = all
hoop_stress = stress_zz # Since 2D-RZ
[]
[wastage_thickness]
type = ADMetallicFuelWastage
method = burnup_ht9_opt
burnup = burnup
temperature = temp
scale_factor = 1
boundary = cladding_inside_right
outputs = all
[]
[cc_wastage_thickness]
type = ADMetallicFuelCoolantWastage
clad_material = HT9
use_effective_method = true
temperature = temp
scale_factor = 1
boundary = cladding_outside_right
outputs = all
[]
[]
(assessment/metallic_fuel/EBRII/X447/analysis/legacy/x447_base.i)
[GlobalParams]
density = ${fuel_density}
order = FIRST
family = LAGRANGE
energy_per_fission = 3.2e-11 # J/fission
volumetric_locking_correction = false
displacements = 'disp_x disp_y' # RZ-2D
X_Pu = ${fuel_pu}
X_Zr = ${fuel_zr}
[]
[Problem]
type = ReferenceResidualProblem
extra_tag_vectors = 'ref'
reference_vector = 'ref'
group_variables = 'disp_x disp_y'
[]
[Mesh]
coord_type = RZ
# Pin design parameters from FIPD database
[gen]
type = FIPDRodletMeshGenerator
fipd_geom_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} / ${pin_id} _design.csv'}
gap_bottom_length = 0.31e-3 # arbitrary
cladding_bottom_plug_length = 2.24e-3 # arbitrary
cladding_top_plug_length = 2.24e-3 # arbitrary
cladding_sidewall_radial_elements = 10
cladding_sidewall_axial_element_numbers = '2 150 150'
cladding_top_plug_radial_elements = 10
cladding_top_plug_axial_elements = 5
cladding_bottom_plug_radial_elements = 10
cladding_bottom_plug_axial_elements = 5
fuel_radial_elements = 6
fuel_axial_element_intervals = '0 1'
fuel_axial_element_numbers = '150'
use_default_cladding_sidewall_axial_element_intervals = true
elem_type = QUAD4
[]
[]
[Variables]
[temp]
initial_condition = 298
[]
[]
[AuxVariables]
[creep_strain_mag]
order = CONSTANT
family = MONOMIAL
[]
[gap_cond]
order = CONSTANT
family = MONOMIAL
[]
[coolant_htc]
order = CONSTANT
family = MONOMIAL
[]
[cumulative_damage_index]
order = CONSTANT
family = MONOMIAL
[]
[element_failed]
order = CONSTANT
family = MONOMIAL
[]
[solid_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[gas_swell]
block = fuel
order = CONSTANT
family = MONOMIAL
[]
[total_hoop_strain]
order = CONSTANT
family = MONOMIAL
[]
[func_val1] # Just for visualization
[]
[func_val2] # Just for visualization
[]
# AuxVariables used for thermal expansion correction
[fuel_thermal_strain_xx]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[fuel_thm_exp]
order = CONSTANT
family = MONOMIAL
block = fuel
[]
[clad_thermal_eigenstrain_xx]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[clad_thm_exp]
order = CONSTANT
family = MONOMIAL
block = cladding
[]
[]
[Functions]
[clad_od_temp] # Time-dependent cladding OD temperature from FIPD database
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /clad_od_temp_history_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
[]
[power_history] # Time-dependent pin average power from FIPD database
type = PiecewiseLinear
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /power_history_ ${pin_id} .csv'}
[]
[pwr_axial_peaking_factors] # Power peaking factor from FIPD database; used for fuel related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
[]
[pwr_axial_peaking_factors_elongate] # Power peaking factor from FIPD database; used for cladding related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_power_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
fuel_elongation_pp = max_fuel_elongation # pp used to track fuel elongation
[]
[fflux_axial_peaking_factors] # Fast flux peaking factor from FIPD database; used for fuel related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
[]
[fflux_axial_peaking_factors_elongate] # Fast flux peaking factor from FIPD database; used for cladding related simulations
type = FIPDAxialProfileFunction
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /peakingfactor_flux_relative_ ${pin_id} .csv'}
use_metadata = true
mesh_generator = gen
zero_ends = true
data_shift_type = peaking
extrapolate_to_zero = true
fuel_elongation_pp = max_fuel_elongation # pp used to track fuel elongation
[]
[flux_history] # Time-dependent pin average fast flux from FIPD database
type = PiecewiseLinear
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /flux_history_ ${pin_id} .csv'}
[]
[flow_rate_history] # Time-dependent flow mass flux from FIPD database; no longer needed if FIPD temperature is used as BC.
type = PiecewiseLinear
data_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /flow_history_ ${pin_id} .csv'}
[]
[coolant_press_ramp]
type = PiecewiseLinear
x = '0 ${time_last}'
y = '0.151e6 0.151e6'
[]
[id_vpp_func] # vpp_function used to track FCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = id_wastage
argument_column = y
wastage_type = ID
value_column = wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[od_vpp_func] # vpp_function used to track CCCI-related cladding degradation.
type = MetallicFuelWastageDegradationFunction
vectorpostprocessor_name = od_wastage
argument_column = y
wastage_type = OD
value_column = cc_wastage_thickness
use_metadata = true
degradation_factor = 0.001
mesh_generator = 'gen'
transition_width = 1E-4
[]
[ci_temp] # vpp_function used to track cladding ID temperature.
type = PiecewiseLinearFromVectorPostprocessor
argument_column = y
component = y
value_column = temp
vectorpostprocessor_name = clad_inn_temp
[]
[na_vol] # Get sodium volume from mesh generator
type = MeshPropertyFunction
mesh_generator = gen
mesh_property_name = sodium_volume
scale_factor = -1.0
[]
[]
[Physics/SolidMechanics/QuasiStatic]
temperature = temp
add_variables = true
[fuel]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz volumetric_strain'
extra_vector_tags = 'ref'
block = fuel
eigenstrain_names = 'fuel_thermal_strain fuel_volumetric_strain'
[]
[clad]
strain = FINITE
generate_output = 'stress_xx stress_yy stress_zz vonmises_stress hydrostatic_stress creep_strain_xx creep_strain_yy creep_strain_zz elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz hoop_stress hoop_creep_strain hoop_elastic_strain'
extra_vector_tags = 'ref'
block = cladding
eigenstrain_names = 'clad_thermal_eigenstrain'
[]
[]
[Kernels]
[gravity]
type = Gravity
variable = disp_y
value = -9.81
extra_vector_tags = 'ref'
[]
[heat]
type = HeatConduction
variable = temp
extra_vector_tags = 'ref'
[]
[heat_ie_f]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = fuel
[]
[heat_ie_c]
type = HeatConductionTimeDerivative
variable = temp
extra_vector_tags = 'ref'
block = cladding
[]
[heat_source]
type = FissionRateHeatSource
variable = temp
fission_rate = fission_rate
block = fuel
extra_vector_tags = 'ref'
[]
[]
[AuxKernels]
[conductance]
type = MaterialRealAux
property = gap_conductance
variable = gap_cond
boundary = fuel_outer_radial_surface
[]
[cdf_amount]
block = cladding
type = MaterialRealAux
property = cdf_failure
variable = cumulative_damage_index
[]
[failed_element]
block = cladding
type = MaterialRealAux
property = failed
variable = element_failed
[]
[gas_swell]
type = MaterialRealAux
variable = gas_swell
property = gas_swelling
execute_on = timestep_end
[]
[solid_swell]
type = MaterialRealAux
variable = solid_swell
property = solid_swelling
execute_on = timestep_end
[]
[total_hoop_strain]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_hoop_strain
index_j = 2
index_i = 2
execute_on = timestep_end
block = cladding
[]
[func_val1]
type = FunctionAux
function = id_vpp_func
variable = func_val1
block = cladding
[]
[func_val2]
type = FunctionAux
function = od_vpp_func
variable = func_val2
block = cladding
[]
# AuxKernels used to correct thermal expansion
[fuel_thermal_strain_xx]
type = RankTwoAux
rank_two_tensor = fuel_thermal_strain
variable = fuel_thermal_strain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = fuel
[]
[fuel_thm_exp]
type = SpatialUserObjectAux
variable = fuel_thm_exp
execute_on = 'initial timestep_end'
user_object = fuel_thm_exp
block = fuel
[]
[clad_thermal_eigenstrain_xx]
type = RankTwoAux
rank_two_tensor = clad_thermal_eigenstrain
variable = clad_thermal_eigenstrain_xx
index_j = 0
index_i = 0
execute_on = 'initial timestep_end'
block = cladding
[]
[clad_thm_exp]
type = SpatialUserObjectAux
variable = clad_thm_exp
execute_on = 'initial timestep_end'
user_object = clad_thm_exp
block = cladding
[]
[]
[Contact]
[pellet_clad_mechanical]
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
penalty = 1e12
model = frictionless
normalize_penalty = true
tangential_tolerance = 1e-3
normal_smoothing_distance = 0.1
[]
[]
[ThermalContact]
[thermal_contact]
type = GapHeatTransfer
variable = temp
primary = cladding_inside_right
secondary = fuel_outer_radial_surface
quadrature = true
gap_conductivity = 61.0
min_gap = 0.5e-03 # Adjustable
[]
[]
[BCs]
[no_x_all]
type = DirichletBC
variable = disp_x
boundary = centerline
value = 0.0
[]
[no_y_fuel]
type = DirichletBC
variable = disp_y
boundary = fuel_bottom
value = 0.0
[]
[no_y_clad]
type = DirichletBC
variable = disp_y
boundary = cladding_outside_bottom
value = 0.0
[]
[fuel_top_temp] # Artificially set fuel top temperature; this could also be a Robin BC. Helps to avoid superhigh fuel top temperature in some extreme cases
type = FunctionDirichletBC
boundary = fuel_top
variable = temp
function = ci_temp
[]
[surf] # Setting temperature BC base on FIPD data
type = FunctionDirichletBC
variable = temp
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = clad_od_temp
[]
[Pressure]
[coolantPressure]
boundary = 'cladding_outside_bottom cladding_outside_right cladding_outside_top'
function = coolant_press_ramp
[]
[]
[PlenumPressure]
[plenumPressure]
boundary = 'fuel_outside_all cladding_inside_all'
initial_pressure = 0.084e6 # Pa
startup_time = 0
R = 8.3143
temperature = ave_temp_interior
volume = gas_volume
output = plenum_pressure
material_input = fis_gas_released
[]
[]
[]
[Materials]
[fission_rate]
type = UPuZrFissionRate
block = fuel
rod_linear_power = power_history
axial_power_profile = pwr_axial_peaking_factors
use_metadata = true
mesh_generator = gen
outputs = all
[]
[fission_rate_elongate]
type = UPuZrFissionRate
block = cladding
fission_rate_name = fission_rate
rod_linear_power = power_history
axial_power_profile = pwr_axial_peaking_factors_elongate
use_metadata = true
mesh_generator = gen
outputs = all
[]
[burnup]
type = UPuZrBurnup
initial_X_Pu = ${fuel_pu}
initial_X_Zr = ${fuel_zr}
outputs = all
block = fuel
[]
[burnup_elongate]
type = UPuZrBurnup
initial_X_Pu = ${fuel_pu}
initial_X_Zr = ${fuel_zr}
outputs = all
block = cladding
burnup_name = burnup
[]
[fast_neutron_flux]
type = FastNeutronFlux
calculate_fluence = true
rod_ave_lin_pow = flux_history
axial_power_profile = fflux_axial_peaking_factors
block = fuel
factor = 1.0
outputs = all
[]
[fast_neutron_flux_elongate]
type = FastNeutronFlux
calculate_fluence = true
rod_ave_lin_pow = flux_history
axial_power_profile = fflux_axial_peaking_factors_elongate
block = cladding
factor = 1.0
outputs = all
[]
[fuel_elasticity_tensor]
type = UPuZrElasticityTensor
block = fuel
temperature = temp
[]
[fuel_elastic_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'fuel_upuzrcreep'
block = fuel
[]
[fuel_upuzrcreep]
type = UPuZrCreepUpdate
block = fuel
temperature = temp
porosity = porosity
max_inelastic_increment = 2e-3
[]
[fuel_thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = fuel
thermal_expansion_coeff = 1.18e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = fuel_thermal_strain
outputs = all
[]
[fuel_volumetric_swelling] # Use LIFE-METAL Empirical model
type = UPuZrVolumetricSwellingEigenstrainLM
block = fuel
use_preset_bubble_size = true
anisotropic_factor = 1.26
temperature = temp
fission_rate = fission_rate
burnup = burnup
fis_gas_ret = fis_gas_ret
hydrostatic_stress = hydrostatic_stress
eigenstrain_name = fuel_volumetric_strain
gas_swelling_scale_factor = 1.0
outputs = all
[]
[metal_fuel_thermal]
type = UPuZrThermal
block = fuel
spheat_model = savage
thcond_model = lanl
porosity = porosity
temperature = temp
[]
[fuel_density]
type = StrainAdjustedDensity
displacements = 'disp_x disp_y'
block = fuel
strain_free_density = ${fuel_density}
[]
[fission_gas_behavior]
type = FgrUPuZrLM
block = fuel
temperature = temp
fission_rate = fission_rate
epsilon_c = 0.36
[]
[clad_elasticity_tensor]
type = HT9ElasticityTensor
temperature = temp
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
block = cladding
[]
[clad_stress]
type = ComputeMultipleInelasticStress
tangent_operator = nonlinear
inelastic_models = 'clad_ht9creep'
block = cladding
[]
[clad_ht9creep]
type = HT9CreepUpdate
block = cladding
temperature = temp
fast_neutron_flux = fast_neutron_flux
id_wastage_degradation_function = id_vpp_func
od_wastage_degradation_function = od_vpp_func
[]
[thermal_expansion]
type = ComputeThermalExpansionEigenstrain
block = cladding
thermal_expansion_coeff = 1.2e-5
temperature = temp
stress_free_temperature = 295.0
eigenstrain_name = clad_thermal_eigenstrain
outputs = all
[]
[clad_thermal]
type = HT9Thermal
block = cladding
temperature = temp
[]
[clad_density]
type = StrainAdjustedDensity
block = cladding
strain_free_density = 7874.0
[]
[longHT9_failure]
type = HT9FailureClad
block = cladding
method = cdf_long
temperature = temp
outputs = all
hoop_stress = stress_zz # Since 2D-RZ
[]
[wastage_thickness]
type = MetallicFuelWastage
method = burnup_ht9_opt
burnup = burnup
temperature = temp
scale_factor = 1
boundary = cladding_inside_right
outputs = all
[]
[cc_wastage_thickness]
type = MetallicFuelCoolantWastage
clad_material = HT9
use_effective_method = true
temperature = temp
scale_factor = 1
boundary = cladding_outside_right
outputs = all
[]
[]
[Dampers]
[limitT]
type = MaxIncrement
max_increment = 50
variable = temp
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-snes_ksp_ew'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package -ksp_gmres_restart'
petsc_options_value = 'lu superlu_dist 101' #51
line_search = 'none'
l_max_its = 100
l_tol = 1e-3
nl_max_its = 50
nl_rel_tol = 1e-5
nl_abs_tol = 1e-7
end_time = ${time_last}
dtmin = 1
dtmax = ${max_dt}
[Quadrature]
order = fifth
side_order = seventh
[]
[TimeStepper]
type = IterationAdaptiveDT
timestep_limiting_function = power_history
max_function_change = 300
timestep_limiting_postprocessor = creep_timestep
dt = 100
time_t = '0 9300'
time_dt = '100 100'
iteration_window = 2
optimal_iterations = 10
force_step_every_function_point = true
[]
[]
[Postprocessors]
[ave_temp_interior]
type = SideAverageValue
boundary = cladding_inside_top
variable = temp
execute_on = 'initial linear'
[]
[approx_FCT]
type = AverageNodalVariableValue
boundary = centerline
variable = temp
[]
[max_approx_FCT]
type = TimeExtremeValue
value_type = max
postprocessor = approx_FCT
[]
[ave_FST]
type = SideAverageValue
boundary = fuel_outer_radial_surface
variable = temp
[]
[max_ave_FST]
type = TimeExtremeValue
value_type = max
postprocessor = ave_FST
[]
[ave_CIT]
type = SideAverageValue
boundary = cladding_inside_right
variable = temp
[]
[max_ave_CIT]
type = TimeExtremeValue
value_type = max
postprocessor = ave_CIT
[]
[avg_clad_temp]
type = ElementAverageValue
variable = temp
block = cladding
[]
[peak_clad_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = cladding
[]
[peak_fuel_temp]
type = ElementExtremeValue
variable = temp
value_type = max
block = fuel
[]
[max_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = max
block = fuel
[]
[min_hydro]
type = ElementExtremeValue
variable = hydrostatic_stress
value_type = min
block = fuel
[]
[avg_hydro]
type = ElementAverageValue
variable = hydrostatic_stress
block = fuel
[]
[peak_porosity]
type = ElementExtremeValue
variable = porosity
value_type = max
block = fuel
[]
[clad_inner_vol]
type = InternalVolume
boundary = cladding_inside_all
[]
[pellet_volume]
type = InternalVolume
boundary = fuel_outside_all
[]
[gas_volume]
type = InternalVolume
boundary = 'fuel_outside_all cladding_inside_all'
execute_on = 'initial timestep_end'
addition = na_vol
[]
[clad_fuel_gap]
type = NodalExtremeValue
variable = penetration
boundary = fuel_outer_radial_surface
[]
[max_cont_press]
type = NodalExtremeValue
variable = contact_pressure
boundary = fuel_outer_radial_surface
[]
[flux_from_clad]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = cladding_inside_right
diffusivity = thermal_conductivity
[]
[flux_from_fuel]
type = SideDiffusiveFluxIntegral
variable = temp
boundary = fuel_outer_radial_surface
diffusivity = thermal_conductivity
[]
[rod_total_power]
type = ElementIntegralPower
variable = temp
use_material_fission_rate = true
fission_rate_material = fission_rate
block = fuel
[]
[LHGR_W_per_cm]
type = FunctionValuePostprocessor
function = power_history
scale_factor = 0.01
[]
[average_burnup]
type = ElementAverageValue
block = fuel
variable = burnup
[]
[max_cdf]
type = ElementExtremeValue
value_type = max
variable = cumulative_damage_index
[]
[fis_gas_produced]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_prod
block = fuel
[]
[fis_gas_released]
type = ElementIntegralMaterialProperty
mat_prop = fis_gas_rel
block = fuel
execute_on = 'initial timestep_end'
[]
[creep_timestep]
type = MaterialTimeStepPostprocessor
block = fuel
[]
[hydrostatic_stress]
type = ElementAverageValue
variable = hydrostatic_stress
execute_on = 'initial timestep_end'
block = fuel
[]
[solid_swelling]
type = ElementAverageValue
variable = solid_swell
block = fuel
[]
[gas_swelling]
type = ElementAverageValue
variable = gas_swell
block = fuel
[]
[volumetric_strain]
type = ElementAverageValue
variable = volumetric_strain
block = fuel
[]
[fission_rate]
type = ElementAverageValue
variable = fission_rate
block = fuel
[]
[porosity]
type = ElementAverageValue
variable = porosity
block = fuel
[]
[gaseous_porosity]
type = ElementAverageValue
variable = gaseous_porosity
block = fuel
[]
[fis_gas_percent]
type = FGRPercent
fission_gas_released = fis_gas_released
fission_gas_generated = fis_gas_produced
[]
[max_clad_hoop_creep]
type = ElementExtremeValue
value_type = max
block = cladding
variable = hoop_creep_strain
[]
[max_clad_creep_strain_mag]
type = ElementExtremeValue
value_type = max
block = cladding
variable = creep_strain_mag
[]
[max_total_hoop_strain]
type = ElementExtremeValue
value_type = max
block = cladding
variable = total_hoop_strain
[]
[max_fuel_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = fuel_outside_all
[]
[max_clad_elongation]
type = NodalExtremeValue
variable = disp_y
boundary = 'cladding_outside_top cladding_outside_right'
[]
[max_wastagethickness]
type = ElementExtremeValue
value_type = max
variable = wastage_thickness
outputs = 'console'
[]
[avg_fuel_temp]
type = ElementAverageValue
variable = temp
block = fuel
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
[]
[]
[VectorPostprocessors]
[clad_x_disp]
type = NodalValueSampler
variable = disp_x
boundary = cladding_outside_right
sort_by = y
outputs = none
[]
[fuel_cl_temp]
type = NodalValueSampler
variable = temp
boundary = centerline
sort_by = y
outputs = none
[]
[fuel_surf_temp]
type = NodalValueSampler
variable = temp
boundary = fuel_outer_radial_surface
sort_by = y
outputs = none
[]
[clad_inn_temp]
type = NodalValueSampler
variable = temp
boundary = cladding_inside_right
sort_by = y
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[clad_out_temp]
type = NodalValueSampler
variable = temp
boundary = cladding_outside_right
sort_by = y
outputs = none
[]
[id_wastage]
type = FuelRodLineValueSampler
variable = wastage_thickness
material = 'clad'
fraction = 0.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = csv_wst_a
[]
[od_wastage]
type = FuelRodLineValueSampler
variable = cc_wastage_thickness
material = 'clad'
fraction = 1.0
num_points = 600
orientation = 'vertical'
fuel_pin_geometry = 'pin_geometry'
execute_on = 'initial timestep_end'
allow_duplicate_execution_on_initial = true
outputs = none
[]
[nrad_comparison_a]
type = FIPDAxialPIEComparison
boundary = cladding_outside_right
sort_by = y
csv_file = ${raw '../../../../../../../fipd-bison-integration-data/X447/ ${pin_id} /X447A_ ${pin_id} _PR.csv'}
variable = disp_x
thermal_strain_variable = clad_thm_exp
involved_component = cladding
mesh_generator = gen
series_type_to_read = 'Cladding O.D. (mils)'
outputs = csv_vpp_a
enable = ${enable_a}
[]
[]
[UserObjects]
[pin_geometry]
type = FuelPinGeometry
clad_bottom = cladding_outside_bottom
clad_inner_wall = cladding_inside_right
clad_outer_wall = cladding_outside_right
clad_top = cladding_outside_top
pellet_exteriors = fuel_outside_all
[]
[fuel_thm_exp]
type = LayeredAverage
variable = fuel_thermal_strain_xx
direction = y
num_layers = 1000
block = fuel
[]
[clad_thm_exp]
type = LayeredAverage
variable = clad_thermal_eigenstrain_xx
direction = y
num_layers = 1000
block = cladding
[]
[]
[Outputs]
perf_graph = true
checkpoint = false
color = true
[console]
type = Console
max_rows = 25
time_step_interval = 1
output_linear = true
sync_times = ${time_spots}
[]
[csv_vpp_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
execute_postprocessors_on = none
create_latest_symlink = true
[]
[csv_wst_a]
type = CSV
sync_only = true
sync_times = ${time_spots_a}
enable = ${enable_a}
execute_postprocessors_on = none
create_latest_symlink = true
[]
[csv_general]
type = CSV
sync_only = true
sync_times = ${time_spots}
enable = true
[]
[exodus]
type = Exodus
time_step_interval = 20
sync_times = ${time_spots}
enable = false
[]
[]
(test/tests/solid_mechanics/ht9_elasticity_tensor/nonad.i)
# This tests the coupling of HT9ElasticityTensor to temperature
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
[]
[]
[Variables]
[temp]
initial_condition = 600
[]
[]
[Kernels]
[temp_diff]
type = Diffusion
use_displaced_mesh = true
variable = temp
[]
[temp_dt]
type = TimeDerivative
variable = temp
[]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[all]
strain = FINITE
add_variables = true
[]
[]
[]
[]
[BCs]
[u_top_pull]
type = Pressure
variable = disp_y
boundary = top
factor = -1e6
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0
[]
[u_yz_fix]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[]
[temp_front]
type = DirichletBC
variable = temp
boundary = top
value = 1100
[]
[temp_back]
type = DirichletBC
variable = temp
boundary = bottom
value = 600
[]
[]
[Materials]
[elasticity_tensor]
type = HT9ElasticityTensor
temperature = temp
output_properties = 'youngs_modulus poissons_ratio'
outputs = all
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[]
[Executioner]
type = Transient
num_steps = 1
dt = 2e-3
[]
[Postprocessors]
[temp_avg]
type = ElementAverageValue
variable = temp
[]
[temp_max]
type = ElementExtremeValue
variable = temp
[]
[temp_min]
type = ElementExtremeValue
variable = temp
value_type = min
[]
[youngs_avg]
type = ElementAverageValue
variable = youngs_modulus
[]
[poissons_avg]
type = ElementAverageValue
variable = poissons_ratio
[]
[]
[Outputs]
exodus = true
[]
(test/tests/solid_mechanics/ht9_mechanics/mechanical_ht9_test.i)
#--------------------------------------------------------------------------------
#
# This regression test is designed to test the calculation of the elastic
# modulus and thermal expansion of HT9 over a range of temperatures with
# an applied axial stress. The temperature range goes from the reference
# temperature of 282.265K to 582.265K.
#
# - Geometry:
# Ri = 0.005 m
# Ro = 0.0055 m
# H = 0.01 m
#
# - Single element
#
# - Temperature = 282.265K to 582.265K
#
# - Boundary conditions:
# axial stress = -100 MPa at the top
#
# - Result (Hand calc.):
# Temp(K) Strain_xx Strain_yy Disp_x Disp_y
# 312.265 9.410552E-05 -4.771711E-04 2.137766E-06 -1.826509E-06
# 342.265 9.774519E-05 -4.842622E-04 3.834878E-06 1.150068E-06
# 372.265 1.015818E-04 -4.915671E-04 5.587766E-06 4.223820E-06
# 402.265 1.056295E-04 -4.990958E-04 7.394262E-06 7.390560E-06
# 432.265 1.099038E-04 -5.068587E-04 9.252206E-06 1.064610E-05
# 462.265 1.144219E-04 -5.148670E-04 1.115944E-05 1.398622E-05
# 492.265 1.192021E-04 -5.231323E-04 1.311382E-05 1.740672E-05
# 522.265 1.242650E-04 -5.316674E-04 1.511321E-05 2.090337E-05
# 552.265 1.296329E-04 -5.404855E-04 1.715547E-05 2.447194E-05
# 582.265 1.353306E-04 -5.496011E-04 1.923849E-05 2.810815E-05
#
# Computations in ht9_mech_therm_props.xlsx
#
#--------------------------------------------------------------------------------
[Mesh]
coord_type = RZ
[mesh]
type = FileMeshGenerator
file = clad_rz_short_rev3.e
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Variables]
[temperature]
initial_condition = 282.265
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = FINITE
add_variables = true
eigenstrain_names = 'thermal_expansion'
generate_output = 'stress_xx stress_yy elastic_strain_xx elastic_strain_yy elastic_strain_zz strain_xx strain_yy strain_zz'
temperature = temperature
[]
[]
[Functions]
[temperature_function]
type = PiecewiseLinear
x = '0 10'
y = '282.265 582.265'
[]
[]
[Kernels]
[heat]
type = HeatConduction
variable = temperature
[]
[heat_ie]
type = HeatConductionTimeDerivative
variable = temperature
density_name = 7874
[]
[]
[BCs]
[Pressure]
[top_surface]
boundary = 2
factor = 100e6
[]
[]
[u_bottom_fix]
type = DirichletBC
variable = disp_y
boundary = 4
value = 0.0
[]
[temp_bc_1]
type = FunctionDirichletBC
variable = temperature
boundary = '1 2 3 4'
function = temperature_function
[]
[]
[Materials]
[mechHT9]
type = HT9ElasticityTensor
temperature = temperature
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[thermal_expansion]
type = HT9ThermalExpansionEigenstrain
temperature = temperature
stress_free_temperature = 282.265
eigenstrain_name = thermal_expansion
[]
[thermal]
type = HT9Thermal
temperature = temperature
[]
[]
[Executioner]
type = Transient
line_search = 'none'
nl_rel_tol = 1e-8
end_time = 10
[]
[Postprocessors]
[disp_x3]
type = NodalVariableValue
nodeid = 2
variable = disp_x
[]
[disp_x2]
type = NodalVariableValue
nodeid = 1
variable = disp_x
[]
[disp_y3]
type = NodalVariableValue
nodeid = 2
variable = disp_y
[]
[disp_y4]
type = NodalVariableValue
nodeid = 3
variable = disp_y
[]
[avg_stress_xx]
type = ElementAverageValue
variable = stress_xx
[]
[avg_stress_yy]
type = ElementAverageValue
variable = stress_yy
[]
[avg_strain_xx]
type = ElementAverageValue
variable = elastic_strain_xx
[]
[avg_strain_yy]
type = ElementAverageValue
variable = elastic_strain_yy
[]
[tot_strain_xx]
type = ElementAverageValue
variable = strain_xx
[]
[tot_strain_yy]
type = ElementAverageValue
variable = strain_yy
[]
[tot_strain_zz]
type = ElementAverageValue
variable = strain_zz
[]
[]
[Outputs]
[out]
type = Exodus
[]
[]