- boundaryThe list of boundary IDs from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Unit:(no unit assumed)
Controllable:No
Description:The list of boundary IDs from the mesh where this object applies
- variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this residual object operates on
ADRobinBC
Imposes the Robin integrated boundary condition .
Description
ADRobinBC imposes a Robin boundary condition on a boundary. ADRobinBC is an integrated boundary condition similar to a NeumannBC, but the derivative is set to a function of the variable instead of a constant.
Note that ADRobinBC computes its Jacobian using automatic differentiation.
Example Input Syntax
[BCs]
[left]
type = ADFunctionDirichletBC
variable = u
boundary = left
function = '1'
[]
[right]
type = ADRobinBC
variable = u
boundary = right
coefficient = 2.0
[]
[]
Input Parameters
- coefficient1Coefficient multiplier for the Robin boundary condition term.
Default:1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Coefficient multiplier for the Robin boundary condition term.
- displacementsThe displacements
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The displacements
- 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
Unit:(no unit assumed)
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.
Optional Parameters
- absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Unit:(no unit assumed)
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
- extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Unit:(no unit assumed)
Controllable:No
Description:The extra tags for the matrices this Kernel should fill
- extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector<TagName>
Unit:(no unit assumed)
Controllable:No
Description:The extra tags for the vectors this Kernel should fill
- matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Unit:(no unit assumed)
Options:nontime, system
Controllable:No
Description:The tag for the matrices this Kernel should fill
- vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Unit:(no unit assumed)
Options:nontime, time
Controllable:No
Description:The tag for the vectors this Kernel should fill
Tagging Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Unit:(no unit assumed)
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- diag_save_inThe name of auxiliary variables to save this BC's diagonal jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this BC's diagonal jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Unit:(no unit assumed)
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
Unit:(no unit assumed)
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- save_inThe name of auxiliary variables to save this BC's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this BC's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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
- (test/tests/bcs/ad_bcs/ad_bc.i)
- (modules/combined/test/tests/optimization/optimization_density_update/top_opt_2d_pde_filter.i)
- (modules/combined/test/tests/optimization/compliance_sensitivity/3d_mbb.i)
- (modules/combined/test/tests/optimization/optimization_density_update/top_opt_3d_pde_filter.i)
- (modules/combined/test/tests/optimization/compliance_sensitivity/2d_mbb_pde_amr.i)
- (modules/combined/examples/optimization/2d_mbb_pde.i)
- (modules/combined/examples/optimization/helmholtz_multimat_nostrip.i)
- (modules/combined/test/tests/optimization/compliance_sensitivity/2d_mbb_pde.i)
- (modules/combined/examples/optimization/helmholtz_multimat_strip.i)
- (modules/combined/examples/optimization/2d_mbb_pde_amr.i)
- (modules/combined/examples/optimization/3d_mbb.i)
(test/tests/bcs/ad_bcs/ad_bc.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
[]
[Variables]
[u]
[]
[]
[Kernels]
[diff]
type = ADDiffusion
variable = u
[]
[]
[BCs]
[left]
type = ADFunctionDirichletBC
variable = u
boundary = left
function = '1'
[]
[right]
type = ADRobinBC
variable = u
boundary = right
coefficient = 2.0
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
exodus = true
[]
(test/tests/bcs/ad_bcs/ad_bc.i)
[Mesh]
type = GeneratedMesh
dim = 2
nx = 10
ny = 10
[]
[Variables]
[u]
[]
[]
[Kernels]
[diff]
type = ADDiffusion
variable = u
[]
[]
[BCs]
[left]
type = ADFunctionDirichletBC
variable = u
boundary = left
function = '1'
[]
[right]
type = ADRobinBC
variable = u
boundary = right
coefficient = 2.0
[]
[]
[Executioner]
type = Steady
solve_type = 'NEWTON'
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/optimization/optimization_density_update/top_opt_2d_pde_filter.i)
vol_frac = 0.4
E0 = 1e5
Emin = 1e-4
power = 2
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 40
ny = 20
xmin = 0
xmax = 20
ymin = 0
ymax = 10
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = pull
nodes = 0
[]
[]
[Variables]
[Dc]
initial_condition = -1.0
[]
[]
[AuxVariables]
[sensitivity]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[AuxKernel]
type = MaterialRealAux
variable = sensitivity
property = sensitivity
execute_on = LINEAR
[]
[]
[compliance]
family = MONOMIAL
order = CONSTANT
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[Dc_elem]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[AuxKernel]
type = SelfAux
variable = Dc_elem
v = Dc
execute_on = 'TIMESTEP_END'
[]
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[Kernels]
[diffusion]
type = FunctionDiffusion
variable = Dc
function = 0.05
[]
[potential]
type = Reaction
variable = Dc
[]
[source]
type = CoupledForce
variable = Dc
v = sensitivity
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_y
boundary = right
value = 0.0
[]
[boundary_penalty]
type = ADRobinBC
variable = Dc
boundary = 'left top'
coefficient = 10
[]
[]
[NodalKernels]
[pull]
type = NodalGravity
variable = disp_y
boundary = pull
gravity_value = -1
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
incremental = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[update]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type '
petsc_options_value = 'lu'
nl_abs_tol = 1e-10
line_search = none
dt = 1.0
num_steps = 30
[]
[Outputs]
[out]
type = Exodus
time_step_interval = 10
[]
[]
(modules/combined/test/tests/optimization/compliance_sensitivity/3d_mbb.i)
vol_frac = 0.5
E0 = 1
Emin = 1e-8
power = 3
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 3
nx = 30
ny = 10
nz = 10
xmin = 0
xmax = 30
ymin = 0
ymax = 10
zmin = 0
zmax = 10
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold_y
coord = '0 0 0; 0 0 10'
[]
[push]
type = ExtraNodesetGenerator
input = node
new_boundary = push
coord = '30 10 5'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[Dc]
initial_condition = -1.0
[]
[]
[AuxVariables]
[sensitivity]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[AuxKernel]
type = MaterialRealAux
variable = sensitivity
property = sensitivity
execute_on = LINEAR
[]
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[Dc_elem]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[AuxKernel]
type = SelfAux
variable = Dc_elem
v = Dc
execute_on = 'TIMESTEP_END'
[]
[]
[mat_den_nodal]
family = L2_LAGRANGE
order = FIRST
initial_condition = ${vol_frac}
[AuxKernel]
type = SelfAux
execute_on = TIMESTEP_END
variable = mat_den_nodal
v = mat_den
[]
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[Kernels]
[diffusion]
type = FunctionDiffusion
variable = Dc
function = 0.15 # radius coeff
[]
[potential]
type = Reaction
variable = Dc
[]
[source]
type = CoupledForce
variable = Dc
v = sensitivity
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_y
boundary = hold_y
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[boundary_penalty]
type = ADRobinBC
variable = Dc
boundary = 'left top front back'
coefficient = 10
[]
[boundary_penalty_right]
type = ADRobinBC
variable = Dc
boundary = 'right'
coefficient = 10
[]
[]
[NodalKernels]
[push]
type = NodalGravity
variable = disp_y
boundary = push
gravity_value = -1
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
incremental = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[update]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = none
nl_abs_tol = 1e-4
l_max_its = 200
start_time = 0.0
dt = 1.0
num_steps = 2
[]
[Outputs]
[out]
type = CSV
execute_on = 'INITIAL TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[]
[Controls]
[first_period]
type = TimePeriod
start_time = 0.0
end_time = 10
enable_objects = 'BCs::boundary_penalty_right'
execute_on = 'initial timestep_begin'
[]
[]
(modules/combined/test/tests/optimization/optimization_density_update/top_opt_3d_pde_filter.i)
vol_frac = 0.4
E0 = 1e5
Emin = 1e-4
power = 2
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 3
nx = 24
ny = 12
nz = 12
xmin = 0
xmax = 20
ymin = 0
ymax = 10
zmin = 0
zmax = 10
[]
[middle_bottom_left_edge]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = pull
coord = '0 0 5'
[]
[]
[Variables]
[Dc]
initial_condition = -1.0
[]
[]
[AuxVariables]
[sensitivity]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[AuxKernel]
type = MaterialRealAux
variable = sensitivity
property = sensitivity
execute_on = LINEAR
[]
[]
[compliance]
family = MONOMIAL
order = CONSTANT
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[Dc_elem]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[AuxKernel]
type = SelfAux
variable = Dc_elem
v = Dc
execute_on = 'TIMESTEP_END'
[]
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[Kernels]
[diffusion]
type = FunctionDiffusion
variable = Dc
function = 0.05
[]
[potential]
type = Reaction
variable = Dc
[]
[source]
type = CoupledForce
variable = Dc
v = sensitivity
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_y
boundary = right
value = 0.0
[]
[no_z]
type = DirichletBC
variable = disp_z
boundary = right
value = 0.0
[]
[boundary_penalty]
type = ADRobinBC
variable = Dc
boundary = 'left top front back'
coefficient = 10
[]
[]
[NodalKernels]
[pull]
type = NodalGravity
variable = disp_y
boundary = pull
gravity_value = -1
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
incremental = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[update]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type '
petsc_options_value = 'lu'
nl_abs_tol = 1e-10
line_search = none
dt = 1.0
num_steps = 10
[]
[Outputs]
[out]
type = Exodus
time_step_interval = 10
[]
[]
(modules/combined/test/tests/optimization/compliance_sensitivity/2d_mbb_pde_amr.i)
vol_frac = 0.5
E0 = 1
Emin = 1e-8
power = 3
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 30
ny = 10
xmin = 0
xmax = 30
ymin = 0
ymax = 10
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold
nodes = 0
[]
[push]
type = ExtraNodesetGenerator
input = node
new_boundary = push
coord = '30 10 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[Dc]
initial_condition = -1.0
[]
[]
[AuxVariables]
[sensitivity]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[AuxKernel]
type = MaterialRealAux
variable = sensitivity
property = sensitivity
execute_on = LINEAR
[]
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[Dc_elem]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[AuxKernel]
type = SelfAux
variable = Dc_elem
v = Dc
execute_on = 'TIMESTEP_END'
[]
[]
[mat_den_nodal]
family = L2_LAGRANGE
order = FIRST
initial_condition = ${vol_frac}
[AuxKernel]
type = SelfAux
execute_on = TIMESTEP_END
variable = mat_den_nodal
v = mat_den
[]
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[Kernels]
[diffusion]
type = FunctionDiffusion
variable = Dc
function = 0.15 # radius coeff
[]
[potential]
type = Reaction
variable = Dc
[]
[source]
type = CoupledForce
variable = Dc
v = sensitivity
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_y
boundary = hold
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[boundary_penalty]
type = ADRobinBC
variable = Dc
boundary = 'left top'
coefficient = 10
[]
[boundary_penalty_right]
type = ADRobinBC
variable = Dc
boundary = 'right'
coefficient = 10
[]
[]
[NodalKernels]
[push]
type = NodalGravity
variable = disp_y
boundary = push
gravity_value = -1
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
incremental = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[update]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = none
nl_abs_tol = 1e-4
l_max_its = 200
start_time = 0.0
dt = 1.0
num_steps = 70
[]
[Outputs]
[out]
type = CSV
execute_on = 'INITIAL TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[]
[Controls]
[first_period]
type = TimePeriod
start_time = 0.0
end_time = 40
enable_objects = 'BCs::boundary_penalty_right'
execute_on = 'initial timestep_begin'
[]
[]
[Adaptivity]
max_h_level = 2
recompute_markers_during_cycles = true
interval = 1
cycles_per_step = 1
marker = density_marker
[Indicators]
[density_jump]
type = ValueJumpIndicator
variable = mat_den_nodal
[]
[]
[Markers]
[density_marker]
type = ErrorToleranceMarker
indicator = density_jump
coarsen = 0.1
refine = 0.1
[]
[]
[]
(modules/combined/examples/optimization/2d_mbb_pde.i)
vol_frac = 0.5
E0 = 1
Emin = 1e-8
power = 2
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 150
ny = 50
xmin = 0
xmax = 30
ymin = 0
ymax = 10
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold_y
nodes = 0
[]
[push]
type = ExtraNodesetGenerator
input = node
new_boundary = push
coord = '30 10 0'
[]
[]
[Variables]
[Dc]
initial_condition = -1.0
[]
[]
[AuxVariables]
[Emin]
family = MONOMIAL
order = CONSTANT
initial_condition = ${Emin}
[]
[power]
family = MONOMIAL
order = CONSTANT
initial_condition = ${power}
[]
[E0]
family = MONOMIAL
order = CONSTANT
initial_condition = ${E0}
[]
[sensitivity]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[AuxKernel]
type = MaterialRealAux
variable = sensitivity
property = sensitivity
execute_on = LINEAR
[]
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[Dc_elem]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[AuxKernel]
type = SelfAux
variable = Dc_elem
v = Dc
execute_on = 'TIMESTEP_END'
[]
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[Kernels]
[diffusion]
type = FunctionDiffusion
variable = Dc
function = 0.15 # radius coeff
[]
[potential]
type = Reaction
variable = Dc
[]
[source]
type = CoupledForce
variable = Dc
v = sensitivity
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_y
boundary = hold_y
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[boundary_penalty]
type = ADRobinBC
variable = Dc
boundary = 'left top'
coefficient = 10
[]
[boundary_penalty_right]
type = ADRobinBC
variable = Dc
boundary = 'right'
coefficient = 10
[]
[]
[NodalKernels]
[push]
type = NodalGravity
variable = disp_y
boundary = push
gravity_value = -1
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'Emin mat_den power E0'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
incremental = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[update]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = none
nl_abs_tol = 1e-4
l_max_its = 200
start_time = 0.0
dt = 1.0
num_steps = 70
[]
[Outputs]
[out]
type = Exodus
execute_on = 'INITIAL TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Controls]
[first_period]
type = TimePeriod
start_time = 0.0
end_time = 10
enable_objects = 'BCs::boundary_penalty_right'
execute_on = 'initial timestep_begin'
[]
[]
(modules/combined/examples/optimization/helmholtz_multimat_nostrip.i)
vol_frac = 0.35
power = 1.1
Emin = 1.0e-6
Ess = 0.475 # ss
Et = 1.0 # w
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
# final_generator = 'MoveRight'
[Bottom]
type = GeneratedMeshGenerator
dim = 2
nx = 320
ny = 30
xmin = 0
xmax = 150
ymin = 0
ymax = 15
[]
[RenameBottom]
type = RenameBoundaryGenerator
input = Bottom
old_boundary = 'top bottom right left'
new_boundary = 'top_bottom bottom_bottom right_bottom left_bottom'
[]
[Top]
type = GeneratedMeshGenerator
dim = 2
nx = 320
ny = 30
xmin = 0
xmax = 150
ymin = 0
ymax = 15
[]
[MoveTop]
type = TransformGenerator
input = Top
transform = TRANSLATE
vector_value = '0 15 0'
[]
[RenameTop]
type = RenameBoundaryGenerator
input = MoveTop
old_boundary = 'top bottom right left'
new_boundary = 'top_top bottom_top right_top left_top'
[]
[bottom_gen]
type = ParsedSubdomainMeshGenerator
input = RenameBottom
combinatorial_geometry = 'y <= 15'
block_id = 1
[]
[top_gen]
type = ParsedSubdomainMeshGenerator
input = RenameTop
combinatorial_geometry = 'y > 15'
block_id = 3
[]
[stitch]
type = StitchedMeshGenerator
inputs = 'bottom_gen top_gen'
stitch_boundaries_pairs = 'top_bottom bottom_top'
[]
[left_load]
type = ExtraNodesetGenerator
input = stitch
new_boundary = left_load
coord = '37.5 30 0'
[]
[right_load]
type = ExtraNodesetGenerator
input = left_load
new_boundary = right_load
coord = '112.5 30 0'
[]
[left_support]
type = ExtraNodesetGenerator
input = right_load
new_boundary = left_support
coord = '0 0 0'
[]
[right_support]
type = ExtraNodesetGenerator
input = left_support
new_boundary = right_support
coord = '150 0 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[Dc]
initial_condition = -1.0
[]
[]
[AuxVariables]
[Cc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[sensitivity]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[AuxKernel]
type = MaterialRealAux
variable = sensitivity
property = sensitivity
execute_on = LINEAR
[]
[]
[mat_den_nodal]
family = L2_LAGRANGE
order = FIRST
initial_condition = ${vol_frac}
[AuxKernel]
type = SelfAux
execute_on = TIMESTEP_END
variable = mat_den_nodal
v = mat_den
[]
[]
[Dc_elem]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[AuxKernel]
type = SelfAux
variable = Dc_elem
v = Dc
execute_on = 'TIMESTEP_END'
[]
[]
[]
[Kernels]
[diffusion]
type = FunctionDiffusion
variable = Dc
function = 4.0
[]
[potential]
type = Reaction
variable = Dc
[]
[source]
type = CoupledForce
variable = Dc
v = sensitivity
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = left_support
value = 0.0
[]
[no_x]
type = DirichletBC
variable = disp_x
boundary = left_support
value = 0.0
[]
[no_y_right]
type = DirichletBC
variable = disp_y
boundary = right_support
value = 0.0
[]
[boundary_penalty]
type = ADRobinBC
variable = Dc
boundary = 'bottom_bottom right_bottom left_bottom top_top right_top left_top'
coefficient = 10
[]
[]
[NodalKernels]
[left_down]
type = NodalGravity
variable = disp_y
boundary = left_load
gravity_value = -1e-3
mass = 1
[]
[right_down]
type = NodalGravity
variable = disp_y
boundary = right_load
gravity_value = -1e-3
mass = 1
[]
[]
[Materials]
[elasticity_tensor_one]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys_one
poissons_ratio = poissons_ratio
args = 'mat_den'
block = '1'
[]
[elasticity_tensor_three]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys_three
poissons_ratio = poissons_ratio
args = 'mat_den'
block = '3'
[]
# One: Tungsten
[E_phys_one]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${Et}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys_one
block = '1'
outputs = 'exodus'
[]
# Three: SS316
[E_phys_three]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${Ess}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys_three
block = '3'
outputs = 'exodus'
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc_one]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys_one
block = '1'
[]
[dc_three]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys_three
block = '3'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[update_one]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
block = '1'
[]
[update_three]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
block = '3'
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-10
dt = 1.0
num_steps = 90
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
block = '1 3'
[]
[objective_one]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
block = '1'
[]
[objective_three]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
block = '3'
[]
[]
(modules/combined/test/tests/optimization/compliance_sensitivity/2d_mbb_pde.i)
vol_frac = 0.5
E0 = 1
Emin = 1e-8
power = 3
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 150
ny = 50
xmin = 0
xmax = 30
ymin = 0
ymax = 10
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold_y
nodes = 0
[]
[push]
type = ExtraNodesetGenerator
input = node
new_boundary = push
coord = '30 10 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[Dc]
initial_condition = -1.0
[]
[]
[AuxVariables]
[sensitivity]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[AuxKernel]
type = MaterialRealAux
variable = sensitivity
property = sensitivity
execute_on = LINEAR
[]
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[Dc_elem]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[AuxKernel]
type = SelfAux
variable = Dc_elem
v = Dc
execute_on = 'TIMESTEP_END'
[]
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[Kernels]
[diffusion]
type = FunctionDiffusion
variable = Dc
function = 0.15 # radius coeff
[]
[potential]
type = Reaction
variable = Dc
[]
[source]
type = CoupledForce
variable = Dc
v = sensitivity
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_y
boundary = hold_y
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[boundary_penalty]
type = ADRobinBC
variable = Dc
boundary = 'left top'
coefficient = 10
[]
[boundary_penalty_right]
type = ADRobinBC
variable = Dc
boundary = 'right'
coefficient = 10
[]
[]
[NodalKernels]
[push]
type = NodalGravity
variable = disp_y
boundary = push
gravity_value = -1
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'mat_den'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
incremental = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[update]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = none
nl_abs_tol = 1e-4
l_max_its = 200
start_time = 0.0
dt = 1.0
num_steps = 70
[]
[Outputs]
[out]
type = CSV
execute_on = 'INITIAL TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
[]
[]
[Controls]
[first_period]
type = TimePeriod
start_time = 0.0
end_time = 10
enable_objects = 'BCs::boundary_penalty_right'
execute_on = 'initial timestep_begin'
[]
[]
(modules/combined/examples/optimization/helmholtz_multimat_strip.i)
vol_frac = 0.35
power = 1.1
Emin = 1.0e-6
Ess = 0.475 # ss
Et = 1.0 # w
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
# final_generator = 'MoveRight'
[Bottom]
type = GeneratedMeshGenerator
dim = 2
nx = 320
ny = 30
xmin = 0
xmax = 150
ymin = 0
ymax = 15
[]
[RenameBottom]
type = RenameBoundaryGenerator
input = Bottom
old_boundary = 'top bottom right left'
new_boundary = 'top_bottom bottom_bottom right_bottom left_bottom'
[]
[Middle]
type = GeneratedMeshGenerator
dim = 2
nx = 320
ny = 6
xmin = 0
xmax = 150
ymin = 0
ymax = 3
[]
[MoveMiddle]
type = TransformGenerator
input = Middle
transform = TRANSLATE
vector_value = '0 15 0'
[]
[RenameMiddle]
type = RenameBoundaryGenerator
input = MoveMiddle
old_boundary = 'top bottom right left'
new_boundary = 'top_middle bottom_middle right_middle left_middle'
[]
[Top]
type = GeneratedMeshGenerator
dim = 2
nx = 320
ny = 30
xmin = 0
xmax = 150
ymin = 0
ymax = 15
[]
[MoveTop]
type = TransformGenerator
input = Top
transform = TRANSLATE
vector_value = '0 18 0'
[]
[RenameTop]
type = RenameBoundaryGenerator
input = MoveTop
old_boundary = 'top bottom right left'
new_boundary = 'top_top bottom_top right_top left_top'
[]
[bottom_gen]
type = ParsedSubdomainMeshGenerator
input = RenameBottom
combinatorial_geometry = 'y <= 15'
block_id = 1
[]
[middle_gen]
type = ParsedSubdomainMeshGenerator
input = RenameMiddle
combinatorial_geometry = 'y <= 18 & y > 15'
block_id = 2
[]
[top_gen]
type = ParsedSubdomainMeshGenerator
input = RenameTop
combinatorial_geometry = 'y > 18'
block_id = 3
[]
[stitch]
type = StitchedMeshGenerator
inputs = 'bottom_gen middle_gen top_gen'
stitch_boundaries_pairs = 'top_bottom bottom_middle; top_middle bottom_top'
[]
[left_load]
type = ExtraNodesetGenerator
input = stitch
new_boundary = left_load
coord = '37.5 33 0'
[]
[right_load]
type = ExtraNodesetGenerator
input = left_load
new_boundary = right_load
coord = '112.5 33 0'
[]
[left_support]
type = ExtraNodesetGenerator
input = right_load
new_boundary = left_support
coord = '0 0 0'
[]
[right_support]
type = ExtraNodesetGenerator
input = left_support
new_boundary = right_support
coord = '150 0 0'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[Dc]
initial_condition = -1.0
[]
[]
[AuxVariables]
[Cc]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[sensitivity]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[AuxKernel]
type = MaterialRealAux
variable = sensitivity
property = sensitivity
execute_on = LINEAR
[]
block = '1 2 3'
[]
[mat_den_nodal]
family = L2_LAGRANGE
order = FIRST
initial_condition = ${vol_frac}
[AuxKernel]
type = SelfAux
execute_on = TIMESTEP_END
variable = mat_den_nodal
v = mat_den
[]
[]
[Dc_elem]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[AuxKernel]
type = SelfAux
variable = Dc_elem
v = Dc
execute_on = 'TIMESTEP_END'
[]
[]
[]
[Kernels]
[diffusion]
type = FunctionDiffusion
variable = Dc
function = 4.0
[]
[potential]
type = Reaction
variable = Dc
[]
[source]
type = CoupledForce
variable = Dc
v = sensitivity
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[BCs]
[no_y]
type = DirichletBC
variable = disp_y
boundary = left_support
value = 0.0
[]
[no_x]
type = DirichletBC
variable = disp_x
boundary = left_support
value = 0.0
[]
[no_y_right]
type = DirichletBC
variable = disp_y
boundary = right_support
value = 0.0
[]
[boundary_penalty]
type = ADRobinBC
variable = Dc
boundary = 'bottom_bottom right_bottom left_bottom top_top right_top left_top left_middle '
'right_middle'
coefficient = 10
[]
[]
[NodalKernels]
[left_down]
type = NodalGravity
variable = disp_y
boundary = left_load
gravity_value = -1e-3
mass = 1
[]
[right_down]
type = NodalGravity
variable = disp_y
boundary = right_load
gravity_value = -1e-3
mass = 1
[]
[]
[Materials]
[sensitivity]
type = ParsedMaterial
property_name = 'sensitivity'
block = '2'
expression = '0'
[]
[elasticity_tensor_one]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys_one
poissons_ratio = poissons_ratio
args = 'mat_den'
block = '1'
[]
[elasticity_tensor_three]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys_three
poissons_ratio = poissons_ratio
args = 'mat_den'
block = '3'
[]
[elasticity_tensor_two]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1.0
poissons_ratio = 0.3
block = '2'
[]
# One: Tungsten
[E_phys_one]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${Et}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys_one
block = '1'
outputs = 'exodus'
[]
# Three: SS316
[E_phys_three]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${Ess}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys_three
block = '3'
outputs = 'exodus'
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc_one]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys_one
block = '1'
[]
[dc_three]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys_three
block = '3'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[update_one]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
block = '1'
[]
[update_three]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
block = '3'
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
nl_abs_tol = 1e-10
dt = 1.0
num_steps = 90
[]
[Outputs]
exodus = true
[out]
type = CSV
execute_on = 'TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[mesh_volume]
type = VolumePostprocessor
execute_on = 'initial timestep_end'
[]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[vol_frac]
type = ParsedPostprocessor
expression = 'total_vol / mesh_volume'
pp_names = 'total_vol mesh_volume'
[]
[sensitivity]
type = ElementIntegralMaterialProperty
mat_prop = sensitivity
block = '1 3'
[]
[objective_one]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
block = '1'
[]
[objective_three]
type = ElementIntegralMaterialProperty
mat_prop = strain_energy_density
execute_on = 'INITIAL TIMESTEP_END'
block = '3'
[]
[]
(modules/combined/examples/optimization/2d_mbb_pde_amr.i)
vol_frac = 0.5
E0 = 1
Emin = 1e-8
power = 2
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 2
nx = 30
ny = 10
xmin = 0
xmax = 30
ymin = 0
ymax = 10
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = pull
nodes = 0
[]
[push]
type = ExtraNodesetGenerator
input = node
new_boundary = push
coord = '30 10 0'
[]
[]
[Variables]
[Dc]
initial_condition = -1.0
[]
[]
[AuxVariables]
[Emin]
family = MONOMIAL
order = CONSTANT
initial_condition = ${Emin}
[]
[power]
family = MONOMIAL
order = CONSTANT
initial_condition = ${power}
[]
[E0]
family = MONOMIAL
order = CONSTANT
initial_condition = ${E0}
[]
[sensitivity]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[AuxKernel]
type = MaterialRealAux
variable = sensitivity
property = sensitivity
execute_on = LINEAR
[]
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[Dc_elem]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[AuxKernel]
type = SelfAux
variable = Dc_elem
v = Dc
execute_on = 'TIMESTEP_END'
[]
[]
[mat_den_nodal]
family = L2_LAGRANGE
order = FIRST
initial_condition = ${vol_frac}
[AuxKernel]
type = SelfAux
execute_on = TIMESTEP_END
variable = mat_den_nodal
v = mat_den
[]
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[Kernels]
[diffusion]
type = FunctionDiffusion
variable = Dc
function = 0.15 # radius coeff
[]
[potential]
type = Reaction
variable = Dc
[]
[source]
type = CoupledForce
variable = Dc
v = sensitivity
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_y
boundary = pull
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[boundary_penalty]
type = ADRobinBC
variable = Dc
boundary = 'left top'
coefficient = 10
[]
[boundary_penalty_right]
type = ADRobinBC
variable = Dc
boundary = 'right'
coefficient = 10
[]
[]
[NodalKernels]
[pull]
type = NodalGravity
variable = disp_y
boundary = push
gravity_value = -1
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'Emin mat_den power E0'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
incremental = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[update]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = none
nl_abs_tol = 1e-4
l_max_its = 200
start_time = 0.0
dt = 1.0
num_steps = 70
[]
[Outputs]
[out]
type = Exodus
execute_on = 'INITIAL TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Controls]
[first_period]
type = TimePeriod
start_time = 0.0
end_time = 40
enable_objects = 'BCs::boundary_penalty_right'
execute_on = 'initial timestep_begin'
[]
[]
[Adaptivity]
max_h_level = 2
recompute_markers_during_cycles = true
interval = 1
cycles_per_step = 1
marker = density_marker
[Indicators]
[density_jump]
type = ValueJumpIndicator
variable = mat_den_nodal
[]
[]
[Markers]
[density_marker]
type = ErrorToleranceMarker
indicator = density_jump
coarsen = 0.1
refine = 0.1
[]
[]
[]
(modules/combined/examples/optimization/3d_mbb.i)
vol_frac = 0.5
E0 = 1
Emin = 1e-8
power = 2
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Mesh]
[MeshGenerator]
type = GeneratedMeshGenerator
dim = 3
nx = 60
ny = 20
nz = 20
xmin = 0
xmax = 30
ymin = 0
ymax = 10
zmin = 0
zmax = 10
[]
[node]
type = ExtraNodesetGenerator
input = MeshGenerator
new_boundary = hold_y
coord = '0 0 0; 0 0 10'
[]
[push]
type = ExtraNodesetGenerator
input = node
new_boundary = push
coord = '30 10 5'
[]
[]
[Variables]
[disp_z]
[]
[Dc]
initial_condition = -1.0
[]
[]
[AuxVariables]
[Emin]
family = MONOMIAL
order = CONSTANT
initial_condition = ${Emin}
[]
[power]
family = MONOMIAL
order = CONSTANT
initial_condition = ${power}
[]
[E0]
family = MONOMIAL
order = CONSTANT
initial_condition = ${E0}
[]
[sensitivity]
family = MONOMIAL
order = FIRST
initial_condition = -1.0
[AuxKernel]
type = MaterialRealAux
variable = sensitivity
property = sensitivity
execute_on = LINEAR
[]
[]
[mat_den]
family = MONOMIAL
order = CONSTANT
initial_condition = ${vol_frac}
[]
[Dc_elem]
family = MONOMIAL
order = CONSTANT
initial_condition = -1.0
[AuxKernel]
type = SelfAux
variable = Dc_elem
v = Dc
execute_on = 'TIMESTEP_END'
[]
[]
[mat_den_nodal]
family = L2_LAGRANGE
order = FIRST
initial_condition = ${vol_frac}
[AuxKernel]
type = SelfAux
execute_on = TIMESTEP_END
variable = mat_den_nodal
v = mat_den
[]
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
strain = SMALL
add_variables = true
incremental = false
[]
[]
[Kernels]
[diffusion]
type = FunctionDiffusion
variable = Dc
function = 0.15 # radius coeff
[]
[potential]
type = Reaction
variable = Dc
[]
[source]
type = CoupledForce
variable = Dc
v = sensitivity
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_y
boundary = hold_y
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[]
[boundary_penalty]
type = ADRobinBC
variable = Dc
boundary = 'left top front back'
coefficient = 10
[]
[boundary_penalty_right]
type = ADRobinBC
variable = Dc
boundary = 'right'
coefficient = 10
[]
[]
[NodalKernels]
[push]
type = NodalGravity
variable = disp_y
boundary = push
gravity_value = -1
mass = 1
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeVariableIsotropicElasticityTensor
youngs_modulus = E_phys
poissons_ratio = poissons_ratio
args = 'Emin mat_den power E0'
[]
[E_phys]
type = DerivativeParsedMaterial
# Emin + (density^penal) * (E0 - Emin)
expression = '${Emin} + (mat_den ^ ${power}) * (${E0}-${Emin})'
coupled_variables = 'mat_den'
property_name = E_phys
[]
[poissons_ratio]
type = GenericConstantMaterial
prop_names = poissons_ratio
prop_values = 0.3
[]
[stress]
type = ComputeLinearElasticStress
[]
[dc]
type = ComplianceSensitivity
design_density = mat_den
youngs_modulus = E_phys
incremental = false
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[UserObjects]
[update]
type = DensityUpdate
density_sensitivity = Dc_elem
design_density = mat_den
volume_fraction = ${vol_frac}
execute_on = TIMESTEP_BEGIN
force_postaux = true
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = 'lu superlu_dist'
line_search = none
nl_abs_tol = 1e-4
l_max_its = 200
start_time = 0.0
dt = 1.0
num_steps = 70
[]
[Outputs]
[out]
type = Exodus
execute_on = 'INITIAL TIMESTEP_END'
[]
print_linear_residuals = false
[]
[Postprocessors]
[total_vol]
type = ElementIntegralVariablePostprocessor
variable = mat_den
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Controls]
[first_period]
type = TimePeriod
start_time = 0.0
end_time = 10
enable_objects = 'BCs::boundary_penalty_right'
execute_on = 'initial timestep_begin'
[]
[]