- boundaryThe list of boundary IDs from the mesh where this boundary condition applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundary IDs from the mesh where this boundary condition applies
- contact_pressureThe name of the contact pressure variable
C++ Type:std::vector<VariableName>
Controllable:No
Description:The name of the contact pressure variable
- primary_conductivityThe thermal conductivity of the primary surface solid material
C++ Type:MaterialPropertyName
Controllable:No
Description:The thermal conductivity of the primary surface solid material
- primary_hardnessThe hardness value of the primary surface material
C++ Type:MaterialPropertyName
Controllable:No
Description:The hardness value of the primary surface material
- secondary_conductivityThe thermal conductivity of the secondary surface solid material
C++ Type:MaterialPropertyName
Controllable:No
Description:The thermal conductivity of the secondary surface solid material
- secondary_hardnessThe hardness of the secondary surface material
C++ Type:MaterialPropertyName
Controllable:No
Description:The hardness of the secondary surface material
- temperatureThe name of the temperature variable
C++ Type:std::vector<VariableName>
Controllable:No
Description:The name of the temperature variable
GapFluxModelPressureDependentConduction
Heat flux model across a closed gap to calculate the conductance between two solid materials
Description
GapFluxModelPressureDependentConduction
computes a conductive heat flux across a closed gap between two solid bodies as a function of the normal mechanical pressure at the interface. The normal contact pressure is included in this calculation as a Lagrange multiplier associated with a lower-dimensional domain. This class requires the use of ModularGapConductanceConstraint.
The thermal conductance of the interface is calculated as (1) where is a scaling or fitting parameter, k is the harmonic mean of the thermal conductivities, P is the contact pressure, and H is the harmonic mean of the material hardness, following (Cincotti et al., 2007). The harmonic mean of the thermal conductivities is given as (2) where k and k are the thermal conductivities of the two materials on either side of the closed gap interface. The harmonic mean of the hardness values is calculated in a similar fashion.
Analytical Solution
Using this heat flux object alone, the temperature of the hotter material at the interface, T, is given by the analytical expression and the temperature of the cooler material at the interface, T, is where T and T are the prescribed hot and cool temperature boundary conditions, respectively, k and k are the thermal conductivities of the materials associated with the hot and cool temperatures, and C is the thermal conduction at the interface as given by Eq. (1). Note that these expressions were derived assuming no deformation and unit thickness of both materials in the direction of the temperature gradient.
Example Input File Syntax
[closed]
type = GapFluxModelPressureDependentConduction
primary_conductivity = steel_thermal_conductivity
secondary_conductivity = aluminum_thermal_conductivity
temperature = temperature
contact_pressure = interface_normal_lm
primary_hardness = steel_hardness
secondary_hardness = aluminum_hardness
boundary = moving_block_right
[]
(modules/heat_conduction/test/tests/gap_heat_transfer_mortar/closed_gap_prescribed_pressure.i)GapFluxModelPressureDependentConduction
must be used in conjunction with the modular gap conductance constraint as shown below:
[thermal_contact]
type = ModularGapConductanceConstraint
variable = temperature_interface_lm
secondary_variable = temperature
primary_boundary = moving_block_right
primary_subdomain = interface_primary_subdomain
secondary_boundary = fixed_block_left
secondary_subdomain = interface_secondary_subdomain
gap_flux_models = 'closed'
[]
(modules/heat_conduction/test/tests/gap_heat_transfer_mortar/closed_gap_prescribed_pressure.i)Input 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
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.
- scaling_coefficient1The leading coefficient for the closed gap conductance value; used for tuning
Default:1
C++ Type:double
Controllable:No
Description:The leading coefficient for the closed gap conductance value; used for tuning
Optional Parameters
- allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Controllable:No
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
- 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.
- force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in POSTAUX
- force_preauxFalseForces the UserObject to be executed in PREAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREAUX
- force_preicFalseForces the UserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup
- 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
- use_displaced_meshTrueWhether 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:True
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
Input Files
- (modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d/closed_gap_thermomechanical_mortar_contact.i)
- (modules/combined/test/tests/gap_heat_transfer_mortar/small-2d/open_gap_pressure_dependent.i)
- (modules/heat_conduction/test/tests/gap_heat_transfer_mortar/closed_gap_prescribed_pressure.i)
- (modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d/varied_pressure_thermomechanical_mortar.i)
- (modules/combined/test/tests/gap_heat_transfer_mortar/small-2d/multi_component_mortar_thermal_conduction.i)
- (modules/combined/test/tests/gap_heat_transfer_mortar/small-2d/closed_gap_pressure_dependent_thermal_contact.i)
References
- Alberto Cincotti, Antonio Mario Locci, Roberto Orru, and Giacomo Cao.
Modeling of sps apparatus: temperature, current and strain distribution with no powders.
AIChE journal, 53(3):703–719, 2007.[BibTeX]
@article{cincotti2007modeling, author = "Cincotti, Alberto and Locci, Antonio Mario and Orru, Roberto and Cao, Giacomo", title = "Modeling of SPS apparatus: Temperature, current and strain distribution with no powders", journal = "AIChE journal", volume = "53", number = "3", pages = "703--719", year = "2007", publisher = "Wiley Online Library" }
(modules/heat_conduction/test/tests/gap_heat_transfer_mortar/closed_gap_prescribed_pressure.i)
## Units in the input file: m-Pa-s-K
[Mesh]
[left_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 10
xmax = 1
ymin = 0
ymax = 0.5
boundary_name_prefix = moving_block
[]
[left_block]
type = SubdomainIDGenerator
input = left_rectangle
subdomain_id = 1
[]
[right_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 10
xmin = 1
xmax = 2
ymin = 0
ymax = 0.5
boundary_name_prefix = fixed_block
boundary_id_offset = 4
[]
[right_block]
type = SubdomainIDGenerator
input = right_rectangle
subdomain_id = 2
[]
[two_blocks]
type = MeshCollectionGenerator
inputs = 'left_block right_block'
[]
[block_rename]
type = RenameBlockGenerator
input = two_blocks
old_block = '1 2'
new_block = 'left_block right_block'
[]
[interface_secondary_subdomain]
type = LowerDBlockFromSidesetGenerator
sidesets = 'fixed_block_left'
new_block_id = 3
new_block_name = 'interface_secondary_subdomain'
input = block_rename
[]
[interface_primary_subdomain]
type = LowerDBlockFromSidesetGenerator
sidesets = 'moving_block_right'
new_block_id = 4
new_block_name = 'interface_primary_subdomain'
input = interface_secondary_subdomain
[]
[]
[Variables]
[temperature]
initial_condition = 525.0
[]
[temperature_interface_lm]
block = 'interface_secondary_subdomain'
[]
[]
[AuxVariables]
[interface_normal_lm]
order = FIRST
family = LAGRANGE
block = 'interface_secondary_subdomain'
initial_condition = 100.0
[]
[]
[Kernels]
[HeatDiff_steel]
type = ADHeatConduction
variable = temperature
thermal_conductivity = steel_thermal_conductivity
block = 'left_block'
[]
[HeatDiff_aluminum]
type = ADHeatConduction
variable = temperature
thermal_conductivity = aluminum_thermal_conductivity
block = 'right_block'
[]
[]
[BCs]
[temperature_left]
type = ADDirichletBC
variable = temperature
value = 800
boundary = 'moving_block_left'
[]
[temperature_right]
type = ADDirichletBC
variable = temperature
value = 250
boundary = 'fixed_block_right'
[]
[]
[Constraints]
[thermal_contact]
type = ModularGapConductanceConstraint
variable = temperature_interface_lm
secondary_variable = temperature
primary_boundary = moving_block_right
primary_subdomain = interface_primary_subdomain
secondary_boundary = fixed_block_left
secondary_subdomain = interface_secondary_subdomain
gap_flux_models = 'closed'
[]
[]
[Materials]
[steel_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'steel_density steel_thermal_conductivity steel_hardness'
prop_values = '8e3 16.2 129' ## for stainless steel 304
block = 'left_block'
[]
[aluminum_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_hardness'
prop_values = ' 2.7e3 210 15' #for 99% pure Al
block = 'right_block'
[]
[]
[UserObjects]
[closed]
type = GapFluxModelPressureDependentConduction
primary_conductivity = steel_thermal_conductivity
secondary_conductivity = aluminum_thermal_conductivity
temperature = temperature
contact_pressure = interface_normal_lm
primary_hardness = steel_hardness
secondary_hardness = aluminum_hardness
boundary = moving_block_right
[]
[]
[Postprocessors]
[steel_interface_temperature]
type = AverageNodalVariableValue
variable = temperature
block = interface_primary_subdomain
[]
[aluminum_interface_temperature]
type = AverageNodalVariableValue
variable = temperature
block = interface_secondary_subdomain
[]
[interface_heat_flux_steel]
type = ADSideDiffusiveFluxAverage
variable = temperature
boundary = moving_block_right
diffusivity = steel_thermal_conductivity
[]
[interface_heat_flux_aluminum]
type = ADSideDiffusiveFluxAverage
variable = temperature
boundary = fixed_block_left
diffusivity = aluminum_thermal_conductivity
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
automatic_scaling = false
nl_rel_tol = 1e-14
nl_max_its = 20
[]
[Outputs]
csv = true
perf_graph = true
[]
(modules/heat_conduction/test/tests/gap_heat_transfer_mortar/closed_gap_prescribed_pressure.i)
## Units in the input file: m-Pa-s-K
[Mesh]
[left_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 10
xmax = 1
ymin = 0
ymax = 0.5
boundary_name_prefix = moving_block
[]
[left_block]
type = SubdomainIDGenerator
input = left_rectangle
subdomain_id = 1
[]
[right_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 10
xmin = 1
xmax = 2
ymin = 0
ymax = 0.5
boundary_name_prefix = fixed_block
boundary_id_offset = 4
[]
[right_block]
type = SubdomainIDGenerator
input = right_rectangle
subdomain_id = 2
[]
[two_blocks]
type = MeshCollectionGenerator
inputs = 'left_block right_block'
[]
[block_rename]
type = RenameBlockGenerator
input = two_blocks
old_block = '1 2'
new_block = 'left_block right_block'
[]
[interface_secondary_subdomain]
type = LowerDBlockFromSidesetGenerator
sidesets = 'fixed_block_left'
new_block_id = 3
new_block_name = 'interface_secondary_subdomain'
input = block_rename
[]
[interface_primary_subdomain]
type = LowerDBlockFromSidesetGenerator
sidesets = 'moving_block_right'
new_block_id = 4
new_block_name = 'interface_primary_subdomain'
input = interface_secondary_subdomain
[]
[]
[Variables]
[temperature]
initial_condition = 525.0
[]
[temperature_interface_lm]
block = 'interface_secondary_subdomain'
[]
[]
[AuxVariables]
[interface_normal_lm]
order = FIRST
family = LAGRANGE
block = 'interface_secondary_subdomain'
initial_condition = 100.0
[]
[]
[Kernels]
[HeatDiff_steel]
type = ADHeatConduction
variable = temperature
thermal_conductivity = steel_thermal_conductivity
block = 'left_block'
[]
[HeatDiff_aluminum]
type = ADHeatConduction
variable = temperature
thermal_conductivity = aluminum_thermal_conductivity
block = 'right_block'
[]
[]
[BCs]
[temperature_left]
type = ADDirichletBC
variable = temperature
value = 800
boundary = 'moving_block_left'
[]
[temperature_right]
type = ADDirichletBC
variable = temperature
value = 250
boundary = 'fixed_block_right'
[]
[]
[Constraints]
[thermal_contact]
type = ModularGapConductanceConstraint
variable = temperature_interface_lm
secondary_variable = temperature
primary_boundary = moving_block_right
primary_subdomain = interface_primary_subdomain
secondary_boundary = fixed_block_left
secondary_subdomain = interface_secondary_subdomain
gap_flux_models = 'closed'
[]
[]
[Materials]
[steel_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'steel_density steel_thermal_conductivity steel_hardness'
prop_values = '8e3 16.2 129' ## for stainless steel 304
block = 'left_block'
[]
[aluminum_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_hardness'
prop_values = ' 2.7e3 210 15' #for 99% pure Al
block = 'right_block'
[]
[]
[UserObjects]
[closed]
type = GapFluxModelPressureDependentConduction
primary_conductivity = steel_thermal_conductivity
secondary_conductivity = aluminum_thermal_conductivity
temperature = temperature
contact_pressure = interface_normal_lm
primary_hardness = steel_hardness
secondary_hardness = aluminum_hardness
boundary = moving_block_right
[]
[]
[Postprocessors]
[steel_interface_temperature]
type = AverageNodalVariableValue
variable = temperature
block = interface_primary_subdomain
[]
[aluminum_interface_temperature]
type = AverageNodalVariableValue
variable = temperature
block = interface_secondary_subdomain
[]
[interface_heat_flux_steel]
type = ADSideDiffusiveFluxAverage
variable = temperature
boundary = moving_block_right
diffusivity = steel_thermal_conductivity
[]
[interface_heat_flux_aluminum]
type = ADSideDiffusiveFluxAverage
variable = temperature
boundary = fixed_block_left
diffusivity = aluminum_thermal_conductivity
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
automatic_scaling = false
nl_rel_tol = 1e-14
nl_max_its = 20
[]
[Outputs]
csv = true
perf_graph = true
[]
(modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d/closed_gap_thermomechanical_mortar_contact.i)
## Units in the input file: m-Pa-s-K
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[left_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 10
xmax = 1
ymin = 0
ymax = 0.5
boundary_name_prefix = moving_block
[]
[left_block]
type = SubdomainIDGenerator
input = left_rectangle
subdomain_id = 1
[]
[right_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 10
xmin = 1
xmax = 2
ymin = 0
ymax = 0.5
boundary_name_prefix = fixed_block
boundary_id_offset = 4
[]
[right_block]
type = SubdomainIDGenerator
input = right_rectangle
subdomain_id = 2
[]
[two_blocks]
type = MeshCollectionGenerator
inputs = 'left_block right_block'
[]
[block_rename]
type = RenameBlockGenerator
input = two_blocks
old_block = '1 2'
new_block = 'left_block right_block'
[]
patch_update_strategy = iteration
[]
[Variables]
[disp_x]
block = 'left_block right_block'
[]
[disp_y]
block = 'left_block right_block'
[]
[temperature]
initial_condition = 300.0
[]
[temperature_interface_lm]
block = 'interface_secondary_subdomain'
[]
[]
[Modules]
[TensorMechanics/Master]
[steel]
strain = FINITE
add_variables = false
use_automatic_differentiation = true
generate_output = 'strain_xx strain_xy strain_yy stress_xx stress_xy stress_yy'
additional_generate_output = 'vonmises_stress'
additional_material_output_family = 'MONOMIAL'
additional_material_output_order = 'FIRST'
eigenstrain_names = steel_thermal_expansion
block = 'left_block'
[]
[aluminum]
strain = FINITE
add_variables = false
use_automatic_differentiation = true
generate_output = 'strain_xx strain_xy strain_yy stress_xx stress_xy stress_yy'
additional_generate_output = 'vonmises_stress'
additional_material_output_family = 'MONOMIAL'
additional_material_output_order = 'FIRST'
eigenstrain_names = aluminum_thermal_expansion
block = 'right_block'
[]
[]
[]
[Kernels]
[HeatDiff_steel]
type = ADHeatConduction
variable = temperature
thermal_conductivity = steel_thermal_conductivity
block = 'left_block'
[]
[HeatTdot_steel]
type = ADHeatConductionTimeDerivative
variable = temperature
specific_heat = steel_heat_capacity
density_name = steel_density
block = 'left_block'
[]
[HeatDiff_aluminum]
type = ADHeatConduction
variable = temperature
thermal_conductivity = aluminum_thermal_conductivity
block = 'right_block'
[]
[HeatTdot_aluminum]
type = ADHeatConductionTimeDerivative
variable = temperature
specific_heat = aluminum_heat_capacity
density_name = aluminum_density
block = 'right_block'
[]
[]
[BCs]
[fixed_bottom_edge]
type = ADDirichletBC
variable = disp_y
value = 0
boundary = 'moving_block_bottom fixed_block_bottom'
[]
[fixed_outer_edge]
type = ADDirichletBC
variable = disp_x
value = 0
boundary = 'fixed_block_right'
[]
[displacement_left_block]
type = ADFunctionDirichletBC
variable = disp_x
function = '2.0e-7*t'
boundary = 'moving_block_left'
[]
[temperature_left]
type = ADDirichletBC
variable = temperature
value = 300
boundary = 'moving_block_left'
[]
[temperature_right]
type = ADDirichletBC
variable = temperature
value = 800
boundary = 'fixed_block_right'
[]
[]
[Contact]
[interface]
primary = moving_block_right
secondary = fixed_block_left
model = frictionless
formulation = mortar
correct_edge_dropping = true
[]
[]
[Constraints]
[thermal_contact]
type = ModularGapConductanceConstraint
variable = temperature_interface_lm
secondary_variable = temperature
primary_boundary = moving_block_right
primary_subdomain = interface_primary_subdomain
secondary_boundary = fixed_block_left
secondary_subdomain = interface_secondary_subdomain
gap_flux_models = 'closed'
use_displaced_mesh = true
[]
[]
[Materials]
[steel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.93e11 #in Pa, 193 GPa, stainless steel 304
poissons_ratio = 0.29
block = 'left_block'
[]
[steel_stress]
type = ADComputeFiniteStrainElasticStress
block = 'left_block'
[]
[steel_thermal_expansion]
type = ADComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 17.3e-6 # stainless steel 304
stress_free_temperature = 300.0
temperature = temperature
eigenstrain_name = 'steel_thermal_expansion'
block = 'left_block'
[]
[steel_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'steel_density steel_thermal_conductivity steel_heat_capacity steel_hardness'
prop_values = ' 8e3 16.2 0.5 129' ## for stainless steel 304
block = 'left_block'
[]
[aluminum_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 6.8e10 #in Pa, 68 GPa, aluminum
poissons_ratio = 0.36
block = 'right_block'
[]
[aluminum_stress]
type = ADComputeFiniteStrainElasticStress
block = 'right_block'
[]
[aluminum_thermal_expansion]
type = ADComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 24.0e-6 # aluminum
stress_free_temperature = 300.0
temperature = temperature
eigenstrain_name = 'aluminum_thermal_expansion'
block = 'right_block'
[]
[aluminum_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_heat_capacity aluminum_hardness'
prop_values = ' 2.7e3 210 0.9 15' #for 99% pure Al
block = 'right_block'
[]
[]
[UserObjects]
[closed]
type = GapFluxModelPressureDependentConduction
primary_conductivity = steel_thermal_conductivity
secondary_conductivity = aluminum_thermal_conductivity
temperature = temperature
contact_pressure = interface_normal_lm
primary_hardness = steel_hardness
secondary_hardness = aluminum_hardness
boundary = moving_block_right
[]
[]
[Postprocessors]
[steel_pt_interface_temperature]
type = NodalVariableValue
nodeid = 245
variable = temperature
[]
[aluminum_pt_interface_temperature]
type = NodalVariableValue
nodeid = 657
variable = temperature
[]
[steel_element_interface_stress]
type = ElementalVariableValue
variable = vonmises_stress
elementid = 199
[]
[aluminum_element_interface_stress]
type = ElementalVariableValue
variable = vonmises_stress
elementid = 560
[]
[interface_heat_flux_steel]
type = ADSideDiffusiveFluxAverage
variable = temperature
boundary = moving_block_right
diffusivity = steel_thermal_conductivity
[]
[interface_heat_flux_aluminum]
type = ADSideDiffusiveFluxAverage
variable = temperature
boundary = fixed_block_left
diffusivity = aluminum_thermal_conductivity
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
automatic_scaling = false
line_search = 'none'
# mortar contact solver options
petsc_options = '-snes_converged_reason -pc_svd_monitor'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
petsc_options_value = ' lu superlu_dist'
snesmf_reuse_base = false
nl_rel_tol = 1e-8
nl_max_its = 20
l_max_its = 50
dt = 2
end_time = 10
[]
[Outputs]
csv = true
perf_graph = true
[]
(modules/combined/test/tests/gap_heat_transfer_mortar/small-2d/open_gap_pressure_dependent.i)
## Units in the input file: m-Pa-s-K
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[left_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 10
xmax = 1
ymin = 0
ymax = 0.5
boundary_name_prefix = moving_block
[]
[left_block]
type = SubdomainIDGenerator
input = left_rectangle
subdomain_id = 1
[]
[right_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 10
xmin = 1.0001
xmax = 2.0001
ymin = 0
ymax = 0.5
boundary_name_prefix = fixed_block
boundary_id_offset = 4
[]
[right_block]
type = SubdomainIDGenerator
input = right_rectangle
subdomain_id = 2
[]
[two_blocks]
type = MeshCollectionGenerator
inputs = 'left_block right_block'
[]
[block_rename]
type = RenameBlockGenerator
input = two_blocks
old_block = '1 2'
new_block = 'left_block right_block'
[]
[]
[Variables]
[disp_x]
block = 'left_block right_block'
[]
[disp_y]
block = 'left_block right_block'
[]
[temperature]
initial_condition = 525.0
[]
[temperature_interface_lm]
block = 'interface_secondary_subdomain'
[]
[]
[Modules]
[TensorMechanics/Master]
[steel]
strain = SMALL
add_variables = false
use_automatic_differentiation = true
additional_generate_output = 'vonmises_stress'
additional_material_output_family = 'MONOMIAL'
additional_material_output_order = 'FIRST'
block = 'left_block'
[]
[aluminum]
strain = SMALL
add_variables = false
use_automatic_differentiation = true
additional_generate_output = 'vonmises_stress'
additional_material_output_family = 'MONOMIAL'
additional_material_output_order = 'FIRST'
block = 'right_block'
[]
[]
[]
[Kernels]
[HeatDiff_steel]
type = ADHeatConduction
variable = temperature
thermal_conductivity = steel_thermal_conductivity
block = 'left_block'
[]
[HeatDiff_aluminum]
type = ADHeatConduction
variable = temperature
thermal_conductivity = aluminum_thermal_conductivity
block = 'right_block'
[]
[]
[BCs]
[fixed_bottom_edge]
type = ADDirichletBC
variable = disp_y
value = 0
boundary = 'moving_block_bottom fixed_block_bottom'
[]
[fixed_outer_edge]
type = ADDirichletBC
variable = disp_x
value = 0
boundary = 'fixed_block_right'
[]
[pressure_left_block]
type = ADPressure
variable = disp_x
boundary = 'moving_block_left'
component = 0
function = 1*t
[]
[temperature_left]
type = ADDirichletBC
variable = temperature
value = 800
boundary = 'moving_block_left'
[]
[temperature_right]
type = ADDirichletBC
variable = temperature
value = 250
boundary = 'fixed_block_right'
[]
[]
[Contact]
[interface]
primary = moving_block_right
secondary = fixed_block_left
model = frictionless
formulation = mortar
correct_edge_dropping = true
[]
[]
[Constraints]
[thermal_contact]
type = ModularGapConductanceConstraint
variable = temperature_interface_lm
secondary_variable = temperature
primary_boundary = moving_block_right
primary_subdomain = interface_primary_subdomain
secondary_boundary = fixed_block_left
secondary_subdomain = interface_secondary_subdomain
gap_flux_models = 'closed'
use_displaced_mesh = true
[]
[]
[Materials]
[steel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.93e11 #in Pa, 193 GPa, stainless steel 304
poissons_ratio = 0.29
block = 'left_block'
[]
[steel_stress]
type = ADComputeLinearElasticStress
block = 'left_block'
[]
[steel_density]
type = ADGenericConstantMaterial
prop_names = 'steel_density'
prop_values = 8e3 #in kg/m^3, stainless steel 304
block = 'left_block'
[]
[steel_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'steel_thermal_conductivity steel_heat_capacity steel_emissivity'
prop_values = '16.2 0.5 0.6' ## for stainless steel 304
block = 'left_block'
[]
[aluminum_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 6.8e10 #in Pa, 68 GPa, aluminum
poissons_ratio = 0.36
block = 'right_block'
[]
[aluminum_stress]
type = ADComputeLinearElasticStress
block = 'right_block'
[]
[aluminum_density]
type = ADGenericConstantMaterial
prop_names = 'aluminum_density'
prop_values = 2.7e3 #in kg/m^3, stainless steel 304
block = 'right_block'
[]
[aluminum_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'aluminum_thermal_conductivity aluminum_heat_capacity aluminum_emissivity'
prop_values = '210 0.9 0.25'
block = 'right_block'
[]
[]
[UserObjects]
[closed]
type = GapFluxModelPressureDependentConduction
primary_conductivity = steel_thermal_conductivity
secondary_conductivity = aluminum_thermal_conductivity
temperature = temperature
primary_hardness = 1.0
secondary_hardness = 1.0
boundary = moving_block_right
contact_pressure = interface_normal_lm
[]
[]
[Postprocessors]
[steel_pt_interface_temperature]
type = NodalVariableValue
nodeid = 245
variable = temperature
[]
[aluminum_pt_interface_temperature]
type = NodalVariableValue
nodeid = 657
variable = temperature
[]
[interface_heat_flux_steel]
type = ADSideDiffusiveFluxAverage
variable = temperature
boundary = moving_block_right
diffusivity = steel_thermal_conductivity
[]
[interface_heat_flux_aluminum]
type = ADSideDiffusiveFluxAverage
variable = temperature
boundary = fixed_block_left
diffusivity = aluminum_thermal_conductivity
[]
[steel_element_interface_stress]
type = ElementalVariableValue
variable = vonmises_stress
elementid = 199
[]
[aluminum_element_interface_stress]
type = ElementalVariableValue
variable = vonmises_stress
elementid = 560
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
automatic_scaling = false
line_search = 'none'
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
[]
[Outputs]
csv = true
perf_graph = true
[]
(modules/heat_conduction/test/tests/gap_heat_transfer_mortar/closed_gap_prescribed_pressure.i)
## Units in the input file: m-Pa-s-K
[Mesh]
[left_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 10
xmax = 1
ymin = 0
ymax = 0.5
boundary_name_prefix = moving_block
[]
[left_block]
type = SubdomainIDGenerator
input = left_rectangle
subdomain_id = 1
[]
[right_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 10
xmin = 1
xmax = 2
ymin = 0
ymax = 0.5
boundary_name_prefix = fixed_block
boundary_id_offset = 4
[]
[right_block]
type = SubdomainIDGenerator
input = right_rectangle
subdomain_id = 2
[]
[two_blocks]
type = MeshCollectionGenerator
inputs = 'left_block right_block'
[]
[block_rename]
type = RenameBlockGenerator
input = two_blocks
old_block = '1 2'
new_block = 'left_block right_block'
[]
[interface_secondary_subdomain]
type = LowerDBlockFromSidesetGenerator
sidesets = 'fixed_block_left'
new_block_id = 3
new_block_name = 'interface_secondary_subdomain'
input = block_rename
[]
[interface_primary_subdomain]
type = LowerDBlockFromSidesetGenerator
sidesets = 'moving_block_right'
new_block_id = 4
new_block_name = 'interface_primary_subdomain'
input = interface_secondary_subdomain
[]
[]
[Variables]
[temperature]
initial_condition = 525.0
[]
[temperature_interface_lm]
block = 'interface_secondary_subdomain'
[]
[]
[AuxVariables]
[interface_normal_lm]
order = FIRST
family = LAGRANGE
block = 'interface_secondary_subdomain'
initial_condition = 100.0
[]
[]
[Kernels]
[HeatDiff_steel]
type = ADHeatConduction
variable = temperature
thermal_conductivity = steel_thermal_conductivity
block = 'left_block'
[]
[HeatDiff_aluminum]
type = ADHeatConduction
variable = temperature
thermal_conductivity = aluminum_thermal_conductivity
block = 'right_block'
[]
[]
[BCs]
[temperature_left]
type = ADDirichletBC
variable = temperature
value = 800
boundary = 'moving_block_left'
[]
[temperature_right]
type = ADDirichletBC
variable = temperature
value = 250
boundary = 'fixed_block_right'
[]
[]
[Constraints]
[thermal_contact]
type = ModularGapConductanceConstraint
variable = temperature_interface_lm
secondary_variable = temperature
primary_boundary = moving_block_right
primary_subdomain = interface_primary_subdomain
secondary_boundary = fixed_block_left
secondary_subdomain = interface_secondary_subdomain
gap_flux_models = 'closed'
[]
[]
[Materials]
[steel_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'steel_density steel_thermal_conductivity steel_hardness'
prop_values = '8e3 16.2 129' ## for stainless steel 304
block = 'left_block'
[]
[aluminum_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_hardness'
prop_values = ' 2.7e3 210 15' #for 99% pure Al
block = 'right_block'
[]
[]
[UserObjects]
[closed]
type = GapFluxModelPressureDependentConduction
primary_conductivity = steel_thermal_conductivity
secondary_conductivity = aluminum_thermal_conductivity
temperature = temperature
contact_pressure = interface_normal_lm
primary_hardness = steel_hardness
secondary_hardness = aluminum_hardness
boundary = moving_block_right
[]
[]
[Postprocessors]
[steel_interface_temperature]
type = AverageNodalVariableValue
variable = temperature
block = interface_primary_subdomain
[]
[aluminum_interface_temperature]
type = AverageNodalVariableValue
variable = temperature
block = interface_secondary_subdomain
[]
[interface_heat_flux_steel]
type = ADSideDiffusiveFluxAverage
variable = temperature
boundary = moving_block_right
diffusivity = steel_thermal_conductivity
[]
[interface_heat_flux_aluminum]
type = ADSideDiffusiveFluxAverage
variable = temperature
boundary = fixed_block_left
diffusivity = aluminum_thermal_conductivity
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
automatic_scaling = false
nl_rel_tol = 1e-14
nl_max_its = 20
[]
[Outputs]
csv = true
perf_graph = true
[]
(modules/combined/test/tests/gap_heat_transfer_mortar/finite-2d/varied_pressure_thermomechanical_mortar.i)
## Units in the input file: m-Pa-s-K
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[left_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
xmax = 0.25
ymin = 0
ymax = 0.5
boundary_name_prefix = moving_block
[]
[left_block]
type = SubdomainIDGenerator
input = left_rectangle
subdomain_id = 1
[]
[right_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 20
ny = 10
xmin = 0.25
xmax = 0.5
ymin = 0
ymax = 0.5
boundary_name_prefix = fixed_block
boundary_id_offset = 4
[]
[right_block]
type = SubdomainIDGenerator
input = right_rectangle
subdomain_id = 2
[]
[two_blocks]
type = MeshCollectionGenerator
inputs = 'left_block right_block'
[]
[block_rename]
type = RenameBlockGenerator
input = two_blocks
old_block = '1 2'
new_block = 'left_block right_block'
[]
patch_update_strategy = iteration
[]
[Variables]
[disp_x]
block = 'left_block right_block'
[]
[disp_y]
block = 'left_block right_block'
[]
[temperature]
initial_condition = 300.0
[]
[temperature_interface_lm]
block = 'interface_secondary_subdomain'
[]
[]
[Modules]
[TensorMechanics/Master]
[steel]
strain = FINITE
add_variables = false
use_automatic_differentiation = true
generate_output = 'strain_xx strain_xy strain_yy stress_xx stress_xy stress_yy'
additional_generate_output = 'vonmises_stress'
additional_material_output_family = 'MONOMIAL'
additional_material_output_order = 'FIRST'
block = 'left_block'
[]
[aluminum]
strain = FINITE
add_variables = false
use_automatic_differentiation = true
generate_output = 'strain_xx strain_xy strain_yy stress_xx stress_xy stress_yy'
additional_generate_output = 'vonmises_stress'
additional_material_output_family = 'MONOMIAL'
additional_material_output_order = 'FIRST'
block = 'right_block'
[]
[]
[]
[Kernels]
[HeatDiff_steel]
type = ADHeatConduction
variable = temperature
thermal_conductivity = steel_thermal_conductivity
block = 'left_block'
[]
[HeatTdot_steel]
type = ADHeatConductionTimeDerivative
variable = temperature
specific_heat = steel_heat_capacity
density_name = steel_density
block = 'left_block'
[]
[HeatDiff_aluminum]
type = ADHeatConduction
variable = temperature
thermal_conductivity = aluminum_thermal_conductivity
block = 'right_block'
[]
[HeatTdot_aluminum]
type = ADHeatConductionTimeDerivative
variable = temperature
specific_heat = aluminum_heat_capacity
density_name = aluminum_density
block = 'right_block'
[]
[]
[BCs]
[fixed_bottom_edge]
type = ADDirichletBC
variable = disp_y
value = 0
boundary = 'moving_block_bottom fixed_block_bottom'
[]
[fixed_outer_edge]
type = ADDirichletBC
variable = disp_x
value = 0
boundary = 'fixed_block_right'
[]
[pressure_left_block]
type = ADPressure
variable = disp_x
component = 0
boundary = 'moving_block_left'
function = '1e4*t*y'
[]
[temperature_left]
type = ADDirichletBC
variable = temperature
value = 300
boundary = 'moving_block_left'
[]
[temperature_right]
type = ADDirichletBC
variable = temperature
value = 800
boundary = 'fixed_block_right'
[]
[]
[Contact]
[interface]
primary = moving_block_right
secondary = fixed_block_left
model = frictionless
formulation = mortar
correct_edge_dropping = true
[]
[]
[Constraints]
[thermal_contact]
type = ModularGapConductanceConstraint
variable = temperature_interface_lm
secondary_variable = temperature
primary_boundary = moving_block_right
primary_subdomain = interface_primary_subdomain
secondary_boundary = fixed_block_left
secondary_subdomain = interface_secondary_subdomain
gap_flux_models = 'closed'
use_displaced_mesh = true
[]
[]
[Materials]
[steel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.93e11 #in Pa, 193 GPa, stainless steel 304
poissons_ratio = 0.29
block = 'left_block'
[]
[steel_stress]
type = ADComputeFiniteStrainElasticStress
block = 'left_block'
[]
[steel_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'steel_density steel_thermal_conductivity steel_heat_capacity steel_hardness'
prop_values = ' 8e3 16.2 0.5 129' ## for stainless steel 304
block = 'left_block'
[]
[aluminum_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 6.8e10 #in Pa, 68 GPa, aluminum
poissons_ratio = 0.36
block = 'right_block'
[]
[aluminum_stress]
type = ADComputeFiniteStrainElasticStress
block = 'right_block'
[]
[aluminum_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_heat_capacity aluminum_hardness'
prop_values = ' 2.7e3 210 0.9 15' #for 99% pure Al
block = 'right_block'
[]
[]
[UserObjects]
[closed]
type = GapFluxModelPressureDependentConduction
primary_conductivity = steel_thermal_conductivity
secondary_conductivity = aluminum_thermal_conductivity
temperature = temperature
contact_pressure = interface_normal_lm
primary_hardness = steel_hardness
secondary_hardness = aluminum_hardness
boundary = moving_block_right
[]
[]
[Postprocessors]
[contact_pressure_max]
type = NodalExtremeValue
variable = interface_normal_lm
block = interface_secondary_subdomain
value_type = max
[]
[contact_pressure_average]
type = AverageNodalVariableValue
variable = interface_normal_lm
block = interface_secondary_subdomain
[]
[contact_pressure_min]
type = NodalExtremeValue
variable = interface_normal_lm
block = interface_secondary_subdomain
value_type = min
[]
[interface_temperature_max]
type = NodalExtremeValue
variable = temperature
block = interface_secondary_subdomain
value_type = max
[]
[interface_temperature_average]
type = AverageNodalVariableValue
variable = temperature
block = interface_secondary_subdomain
[]
[interface_temperature_min]
type = NodalExtremeValue
variable = temperature
block = interface_secondary_subdomain
value_type = min
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
automatic_scaling = false
line_search = 'none'
# mortar contact solver options
petsc_options = '-snes_converged_reason -pc_svd_monitor'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
petsc_options_value = ' lu superlu_dist'
snesmf_reuse_base = false
nl_rel_tol = 1e-7
nl_max_its = 20
l_max_its = 50
dt = 0.125
end_time = 1
[]
[Outputs]
csv = true
perf_graph = true
[]
(modules/combined/test/tests/gap_heat_transfer_mortar/small-2d/multi_component_mortar_thermal_conduction.i)
## Units in the input file: m-Pa-s-K
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[left_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 10
xmax = 1
ymin = 0
ymax = 0.5
boundary_name_prefix = moving_block
[]
[left_block]
type = SubdomainIDGenerator
input = left_rectangle
subdomain_id = 1
[]
[right_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 10
xmin = 1.
xmax = 2.
ymin = 0
ymax = 0.5
boundary_name_prefix = fixed_block
boundary_id_offset = 4
[]
[right_block]
type = SubdomainIDGenerator
input = right_rectangle
subdomain_id = 2
[]
[two_blocks]
type = MeshCollectionGenerator
inputs = 'left_block right_block'
[]
[block_rename]
type = RenameBlockGenerator
input = two_blocks
old_block = '1 2'
new_block = 'left_block right_block'
[]
patch_update_strategy = iteration
[]
[Variables]
[disp_x]
block = 'left_block right_block'
[]
[disp_y]
block = 'left_block right_block'
[]
[temperature]
initial_condition = 525.0
[]
[temperature_interface_lm]
block = 'interface_secondary_subdomain'
[]
[]
[Modules]
[TensorMechanics/Master]
[steel]
strain = SMALL
add_variables = false
use_automatic_differentiation = true
additional_generate_output = 'vonmises_stress'
additional_material_output_family = 'MONOMIAL'
additional_material_output_order = 'FIRST'
block = 'left_block'
[]
[aluminum]
strain = SMALL
add_variables = false
use_automatic_differentiation = true
additional_generate_output = 'vonmises_stress'
additional_material_output_family = 'MONOMIAL'
additional_material_output_order = 'FIRST'
block = 'right_block'
[]
[]
[]
[Kernels]
[HeatDiff_steel]
type = ADHeatConduction
variable = temperature
thermal_conductivity = steel_thermal_conductivity
block = 'left_block'
[]
[HeatTdot_steel]
type = ADHeatConductionTimeDerivative
variable = temperature
specific_heat = steel_heat_capacity
density_name = steel_density
block = 'left_block'
[]
[HeatDiff_aluminum]
type = ADHeatConduction
variable = temperature
thermal_conductivity = aluminum_thermal_conductivity
block = 'right_block'
[]
[HeatTdot_aluminum]
type = ADHeatConductionTimeDerivative
variable = temperature
specific_heat = aluminum_heat_capacity
density_name = aluminum_density
block = 'right_block'
[]
[]
[BCs]
[fixed_bottom_edge]
type = ADDirichletBC
variable = disp_y
value = 0
boundary = 'moving_block_bottom fixed_block_bottom'
[]
[fixed_outer_edge]
type = ADDirichletBC
variable = disp_x
value = 0
boundary = 'fixed_block_right'
[]
[displacement_left_block]
type = ADFunctionDirichletBC
variable = disp_x
function = 'if(t<61, 2.0e-7, -2.0e-8*(t-60))'
boundary = 'moving_block_left'
[]
[temperature_left]
type = ADDirichletBC
variable = temperature
value = 800
boundary = 'moving_block_left'
[]
[temperature_right]
type = ADDirichletBC
variable = temperature
value = 250
boundary = 'fixed_block_right'
[]
[]
[Contact]
[interface]
primary = moving_block_right
secondary = fixed_block_left
model = frictionless
formulation = mortar
correct_edge_dropping = true
[]
[]
[Constraints]
[thermal_contact]
type = ModularGapConductanceConstraint
variable = temperature_interface_lm
secondary_variable = temperature
primary_boundary = moving_block_right
primary_subdomain = interface_primary_subdomain
secondary_boundary = fixed_block_left
secondary_subdomain = interface_secondary_subdomain
gap_flux_models = 'radiation closed'
use_displaced_mesh = true
[]
[]
[Materials]
[steel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.93e11 #in Pa, 193 GPa, stainless steel 304
poissons_ratio = 0.29
block = 'left_block'
[]
[steel_stress]
type = ADComputeLinearElasticStress
block = 'left_block'
[]
[steel_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'steel_density steel_thermal_conductivity steel_heat_capacity'
prop_values = ' 8e3 16.2 0.5' ## for stainless steel 304
block = 'left_block'
[]
[aluminum_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 6.8e10 #in Pa, 68 GPa, aluminum
poissons_ratio = 0.36
block = 'right_block'
[]
[aluminum_stress]
type = ADComputeLinearElasticStress
block = 'right_block'
[]
[aluminum_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_heat_capacity'
prop_values = ' 2.7e3 210 0.9'
block = 'right_block'
[]
[]
[UserObjects]
[radiation]
type = GapFluxModelRadiation
secondary_emissivity = 0.25
primary_emissivity = 0.6
temperature = temperature
boundary = moving_block_right
[]
[closed]
type = GapFluxModelPressureDependentConduction
primary_conductivity = steel_thermal_conductivity
secondary_conductivity = aluminum_thermal_conductivity
temperature = temperature
contact_pressure = interface_normal_lm
primary_hardness = 1.0
secondary_hardness = 1.0
boundary = moving_block_right
[]
[]
[Postprocessors]
[steel_pt_interface_temperature]
type = NodalVariableValue
nodeid = 245
variable = temperature
[]
[aluminum_pt_interface_temperature]
type = NodalVariableValue
nodeid = 657
variable = temperature
[]
[aluminum_element_interface_stress]
type = ElementalVariableValue
variable = vonmises_stress
elementid = 560
[]
[interface_heat_flux_steel]
type = ADSideDiffusiveFluxAverage
variable = temperature
boundary = moving_block_right
diffusivity = steel_thermal_conductivity
[]
[interface_heat_flux_aluminum]
type = ADSideDiffusiveFluxAverage
variable = temperature
boundary = fixed_block_left
diffusivity = aluminum_thermal_conductivity
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
automatic_scaling = false
line_search = 'none'
# mortar contact solver options
petsc_options = '-snes_converged_reason -pc_svd_monitor'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
petsc_options_value = ' lu superlu_dist'
snesmf_reuse_base = false
nl_rel_tol = 1e-10
nl_max_its = 20
l_max_its = 50
dt = 60
end_time = 120
[]
[Outputs]
csv = true
perf_graph = true
[]
(modules/combined/test/tests/gap_heat_transfer_mortar/small-2d/closed_gap_pressure_dependent_thermal_contact.i)
## Units in the input file: m-Pa-s-K
# The analytical solution for a steady state thermal contact and a mechanical
# contact pressure of 1Pa, the temperature of the steel block at the interface
# is calcaluated as
#
# T^s_{int} = \frac{T^a_{BC}C_T k_a + T^s_{BC} k_s \left(k_a +C_T \right)}{k_s (k_a + C_T) + k_a C_T}
# T^s_{int} = 460K
#
# with the boundary conditions and thermal conductivity values specified in the
# input file below. Similarly, the temperature of the aluminum block (cold block)
# is calculated as
#
# T^a_{int} = \frac{T^s_{int} C_T + T^a_{BC} k_a}{k_a + C_T}
# T^a_{int} = 276K
#
# The values predicted by the simulation at the interface converge towards these
# temperature values, and are within a few degrees by 240s. A smaller timestep
# than is practical for the regression test application further reduces the difference
# between the analytical solution and the simulation result.
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[left_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 10
xmax = 1
ymin = 0
ymax = 0.5
boundary_name_prefix = moving_block
[]
[left_block]
type = SubdomainIDGenerator
input = left_rectangle
subdomain_id = 1
[]
[right_rectangle]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 10
xmin = 1
xmax = 2
ymin = 0
ymax = 0.5
boundary_name_prefix = fixed_block
boundary_id_offset = 4
[]
[right_block]
type = SubdomainIDGenerator
input = right_rectangle
subdomain_id = 2
[]
[two_blocks]
type = MeshCollectionGenerator
inputs = 'left_block right_block'
[]
[block_rename]
type = RenameBlockGenerator
input = two_blocks
old_block = '1 2'
new_block = 'left_block right_block'
[]
[]
[Variables]
[disp_x]
block = 'left_block right_block'
[]
[disp_y]
block = 'left_block right_block'
[]
[temperature]
initial_condition = 525.0
[]
[temperature_interface_lm]
block = 'interface_secondary_subdomain'
[]
[]
[Modules]
[TensorMechanics/Master]
[steel]
strain = SMALL
add_variables = false
use_automatic_differentiation = true
additional_generate_output = 'vonmises_stress'
additional_material_output_family = 'MONOMIAL'
additional_material_output_order = 'FIRST'
block = 'left_block'
[]
[aluminum]
strain = SMALL
add_variables = false
use_automatic_differentiation = true
additional_generate_output = 'vonmises_stress'
additional_material_output_family = 'MONOMIAL'
additional_material_output_order = 'FIRST'
block = 'right_block'
[]
[]
[]
[Kernels]
[HeatDiff_steel]
type = ADHeatConduction
variable = temperature
thermal_conductivity = steel_thermal_conductivity
block = 'left_block'
[]
[HeatTdot_steel]
type = ADHeatConductionTimeDerivative
variable = temperature
specific_heat = steel_heat_capacity
density_name = steel_density
block = 'left_block'
[]
[HeatDiff_aluminum]
type = ADHeatConduction
variable = temperature
thermal_conductivity = aluminum_thermal_conductivity
block = 'right_block'
[]
[HeatTdot_aluminum]
type = ADHeatConductionTimeDerivative
variable = temperature
specific_heat = aluminum_heat_capacity
density_name = aluminum_density
block = 'right_block'
[]
[]
[BCs]
[fixed_bottom_edge]
type = ADDirichletBC
variable = disp_y
value = 0
boundary = 'moving_block_bottom fixed_block_bottom'
[]
[fixed_outer_edge]
type = ADDirichletBC
variable = disp_x
value = 0
boundary = 'fixed_block_right'
[]
[displacement_left_block]
type = ADDirichletBC
variable = disp_x
value = 1.8e-11
boundary = 'moving_block_left'
[]
[temperature_left]
type = ADDirichletBC
variable = temperature
value = 800
boundary = 'moving_block_left'
[]
[temperature_right]
type = ADDirichletBC
variable = temperature
value = 250
boundary = 'fixed_block_right'
[]
[]
[Contact]
[interface]
primary = moving_block_right
secondary = fixed_block_left
model = frictionless
formulation = mortar
correct_edge_dropping = true
[]
[]
[Constraints]
[thermal_contact]
type = ModularGapConductanceConstraint
variable = temperature_interface_lm
secondary_variable = temperature
primary_boundary = moving_block_right
primary_subdomain = interface_primary_subdomain
secondary_boundary = fixed_block_left
secondary_subdomain = interface_secondary_subdomain
gap_flux_models = 'closed'
use_displaced_mesh = true
[]
[]
[Materials]
[steel_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 1.93e11 #in Pa, 193 GPa, stainless steel 304
poissons_ratio = 0.29
block = 'left_block'
[]
[steel_stress]
type = ADComputeLinearElasticStress
block = 'left_block'
[]
[steel_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'steel_density steel_thermal_conductivity steel_heat_capacity'
prop_values = '8e3 16.2 0.5' ## for stainless steel 304
block = 'left_block'
[]
[aluminum_elasticity_tensor]
type = ADComputeIsotropicElasticityTensor
youngs_modulus = 6.8e10 #in Pa, 68 GPa, aluminum
poissons_ratio = 0.36
block = 'right_block'
[]
[aluminum_stress]
type = ADComputeLinearElasticStress
block = 'right_block'
[]
[aluminum_thermal_properties]
type = ADGenericConstantMaterial
prop_names = 'aluminum_density aluminum_thermal_conductivity aluminum_heat_capacity'
prop_values = ' 2.7e3 210 0.9'
block = 'right_block'
[]
[]
[UserObjects]
[closed]
type = GapFluxModelPressureDependentConduction
primary_conductivity = steel_thermal_conductivity
secondary_conductivity = aluminum_thermal_conductivity
temperature = temperature
contact_pressure = interface_normal_lm
primary_hardness = 1.0
secondary_hardness = 1.0
boundary = moving_block_right
[]
[]
[Postprocessors]
[steel_pt_interface_temperature]
type = NodalVariableValue
nodeid = 245
variable = temperature
[]
[aluminum_pt_interface_temperature]
type = NodalVariableValue
nodeid = 657
variable = temperature
[]
[interface_heat_flux_steel]
type = ADSideDiffusiveFluxAverage
variable = temperature
boundary = moving_block_right
diffusivity = steel_thermal_conductivity
[]
[interface_heat_flux_aluminum]
type = ADSideDiffusiveFluxAverage
variable = temperature
boundary = fixed_block_left
diffusivity = aluminum_thermal_conductivity
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
automatic_scaling = false
line_search = 'none'
# mortar contact solver options
petsc_options = '-snes_converged_reason -pc_svd_monitor'
petsc_options_iname = '-pc_type -pc_factor_mat_solver_type'
petsc_options_value = ' lu superlu_dist'
snesmf_reuse_base = false
nl_rel_tol = 1e-10
nl_max_its = 20
l_max_its = 50
dt = 60
end_time = 240
[]
[Outputs]
csv = true
perf_graph = true
[]