- internal_constraint_toleranceThe Newton-Raphson process is only deemed converged if the internal constraint is less than this.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The Newton-Raphson process is only deemed converged if the internal constraint is less than this.
- mc_cohesionA SolidMechanicsHardening UserObject that defines hardening of the Mohr-Coulomb cohesion. Physically this should not be negative.
C++ Type:UserObjectName
Unit:(no unit assumed)
Controllable:No
Description:A SolidMechanicsHardening UserObject that defines hardening of the Mohr-Coulomb cohesion. Physically this should not be negative.
- mc_dilation_angleA SolidMechanicsHardening UserObject that defines hardening of the Mohr-Coulomb dilation angle (in radians). Usually the dilation angle is not greater than the friction angle, and it is between 0 and Pi/2.
C++ Type:UserObjectName
Unit:(no unit assumed)
Controllable:No
Description:A SolidMechanicsHardening UserObject that defines hardening of the Mohr-Coulomb dilation angle (in radians). Usually the dilation angle is not greater than the friction angle, and it is between 0 and Pi/2.
- mc_friction_angleA SolidMechanicsHardening UserObject that defines hardening of the Mohr-Coulomb friction angle (in radians). Physically this should be between 0 and Pi/2.
C++ Type:UserObjectName
Unit:(no unit assumed)
Controllable:No
Description:A SolidMechanicsHardening UserObject that defines hardening of the Mohr-Coulomb friction angle (in radians). Physically this should be between 0 and Pi/2.
- yield_function_toleranceIf the yield function is less than this amount, the (stress, internal parameter) are deemed admissible.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:If the yield function is less than this amount, the (stress, internal parameter) are deemed admissible.
SolidMechanicsPlasticDruckerPrager
buildconstruction:Undocumented Class
The SolidMechanicsPlasticDruckerPrager has not been documented. The content listed below should be used as a starting point for documenting the class, which includes the typical automatic documentation associated with a MooseObject; however, what is contained is ultimately determined by what is necessary to make the documentation clear for users.
Non-associative Drucker Prager plasticity with no smoothing of the cone tip.
Overview
Example Input File Syntax
Input Parameters
- execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Unit:(no unit assumed)
Options:XFEM_MARK, FORWARD, ADJOINT, HOMOGENEOUS_FORWARD, ADJOINT_TIMESTEP_BEGIN, ADJOINT_TIMESTEP_END, NONE, INITIAL, LINEAR, NONLINEAR_CONVERGENCE, NONLINEAR, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, FINAL, CUSTOM
Controllable:No
Description:The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
- mc_interpolation_schemelode_zeroScheme by which the Drucker-Prager cohesion, friction angle and dilation angle are set from the Mohr-Coulomb parameters mc_cohesion, mc_friction_angle and mc_dilation_angle. Consider the DP and MC yield surfaces on the deviatoric (octahedral) plane. Outer_tip: the DP circle touches the outer tips of the MC hex. Inner_tip: the DP circle touches the inner tips of the MC hex. Lode_zero: the DP circle intersects the MC hex at lode angle=0. Inner_edge: the DP circle is the largest circle that wholly fits inside the MC hex. Native: The DP cohesion, friction angle and dilation angle are set equal to the mc_ parameters entered.
Default:lode_zero
C++ Type:MooseEnum
Unit:(no unit assumed)
Options:outer_tip, inner_tip, lode_zero, inner_edge, native
Controllable:No
Description:Scheme by which the Drucker-Prager cohesion, friction angle and dilation angle are set from the Mohr-Coulomb parameters mc_cohesion, mc_friction_angle and mc_dilation_angle. Consider the DP and MC yield surfaces on the deviatoric (octahedral) plane. Outer_tip: the DP circle touches the outer tips of the MC hex. Inner_tip: the DP circle touches the inner tips of the MC hex. Lode_zero: the DP circle intersects the MC hex at lode angle=0. Inner_edge: the DP circle is the largest circle that wholly fits inside the MC hex. Native: The DP cohesion, friction angle and dilation angle are set equal to the mc_ parameters entered.
- 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
- 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
Unit:(no unit assumed)
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>
Unit:(no unit assumed)
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
Unit:(no unit assumed)
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- execution_order_group0Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
Default:0
C++ Type:int
Unit:(no unit assumed)
Controllable:No
Description:Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
- force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Unit:(no unit assumed)
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
Unit:(no unit assumed)
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
Unit:(no unit assumed)
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup
- 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
- (modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_native.i)
- (modules/solid_mechanics/test/tests/multiple_two_parameter_plasticity/cycled_dp_then_wp.i)
- (modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_lode_zero.i)
- (modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform2_inner_tip.i)
- (modules/solid_mechanics/examples/coal_mining/cosserat_elastic.i)
- (modules/solid_mechanics/test/tests/multiple_two_parameter_plasticity/dp_and_wp.i)
- (modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_outer_tip.i)
- (modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform2_inner_edge.i)
- (modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform2_native.i)
- (modules/solid_mechanics/examples/coal_mining/cosserat_wp_only.i)
- (modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform2_lode_zero.i)
- (modules/solid_mechanics/test/tests/multiple_two_parameter_plasticity/dp_then_wp.i)
- (modules/solid_mechanics/test/tests/capped_drucker_prager/random.i)
- (modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_inner_tip.i)
- (modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform2_outer_tip.i)
- (modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_inner_edge.i)
Child Objects
(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_native.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '1E-6*x*t'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '-1.35E-6*y*t'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '1E-6*z*t'
[../]
[]
[AuxVariables]
[./mc_int]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./mc_int_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_internal_parameter
variable = mc_int
[../]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = yield_fcn
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./internal]
type = PointValue
point = '0 0 0'
variable = mc_int
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 1E5
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E5
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./mc_phi]
type = SolidMechanicsHardeningConstant
value = 35
convert_to_radians = true
[../]
[./mc_psi]
type = SolidMechanicsHardeningConstant
value = 5
convert_to_radians = true
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = mc_coh
mc_friction_angle = mc_phi
mc_dilation_angle = mc_psi
mc_interpolation_scheme = native
yield_function_tolerance = 1 # irrelevant here
internal_constraint_tolerance = 1 # irrelevant here
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E7'
[../]
[./admissible]
type = ComputeMultipleInelasticStress
inelastic_models = mc
perform_finite_strain_rotations = false
[../]
[./mc]
type = CappedDruckerPragerStressUpdate
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-8
tip_smoother = 8
smoothing_tol = 1E-7
[../]
[]
[Executioner]
end_time = 10
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform3_native
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/test/tests/multiple_two_parameter_plasticity/cycled_dp_then_wp.i)
# Use ComputeMultipleInelasticStress with two inelastic models: CappedDruckerPrager and CappedWeakPlane.
# The relative_tolerance and absolute_tolerance parameters are set very large so that
# only one iteration is performed. This is the algorithm that FLAC uses to model
# jointed rocks, only Capped-Mohr-Coulomb is used instead of CappedDruckerPrager
#
# In this test "cycle_models=true" so that in the first timestep only
# CappedDruckerPrager is used, while in the second timestep only
# CappedWeakPlane is used.
#
# initial_stress = diag(1E3, 1E3, 1E3)
# The CappedDruckerPrager has tensile strength 3E2 and large cohesion,
# so the stress initially returns to diag(1E2, 1E2, 1E2)
# The CappedWeakPlane has tensile strength zero and large cohesion,
# so the stress returns to diag(1E2 - v/(1-v)*1E2, 1E2 - v/(1-v)*1E2, 0)
# where v=0.2 is the Poisson's ratio
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
eigenstrain_names = ini_stress
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = 0
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = 0
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = 0
[../]
[]
[AuxVariables]
[./yield_fcn_dp]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn_wp]
order = CONSTANT
family = MONOMIAL
[../]
[./tensile_cdp]
order = CONSTANT
family = MONOMIAL
[../]
[./tensile_cwp]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./yield_fcn_dp_auxk]
type = MaterialStdVectorAux
index = 1 # this is the tensile yield function - it should be zero
property = cdp_plastic_yield_function
variable = yield_fcn_dp
[../]
[./yield_fcn_wp_auxk]
type = MaterialStdVectorAux
index = 1 # this is the tensile yield function - it should be zero
property = cwp_plastic_yield_function
variable = yield_fcn_wp
[../]
[./tensile_cdp]
type = MaterialStdVectorAux
index = 1
property = cdp_plastic_internal_parameter
variable = tensile_cdp
[../]
[./tensile_cwp]
type = MaterialStdVectorAux
index = 1
property = cwp_plastic_internal_parameter
variable = tensile_cwp
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./i_cdp]
type = PointValue
point = '0 0 0'
variable = tensile_cdp
[../]
[./i_cwp]
type = PointValue
point = '0 0 0'
variable = tensile_cwp
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 300
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E4
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 1E4
[../]
[./mc_phi]
type = SolidMechanicsHardeningConstant
value = 20
convert_to_radians = true
[../]
[./mc_psi]
type = SolidMechanicsHardeningConstant
value = 0
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = mc_coh
mc_friction_angle = mc_phi
mc_dilation_angle = mc_psi
internal_constraint_tolerance = 1 # irrelevant here
yield_function_tolerance = 1 # irrelevant here
[../]
[./wp_coh]
type = SolidMechanicsHardeningConstant
value = 1E4
[../]
[./wp_tanphi]
type = SolidMechanicsHardeningConstant
value = 0.5
[../]
[./wp_tanpsi]
type = SolidMechanicsHardeningConstant
value = 0.1111077
[../]
[./wp_t_strength]
type = SolidMechanicsHardeningConstant
value = 0
[../]
[./wp_c_strength]
type = SolidMechanicsHardeningConstant
value = 1E4
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
poissons_ratio = 0.2
youngs_modulus = 1.0
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '1E3 0 0 0 1E3 0 0 0 1E3'
eigenstrain_name = ini_stress
[../]
[./admissible]
type = ComputeMultipleInelasticStress
relative_tolerance = 1E4
absolute_tolerance = 2
inelastic_models = 'cdp cwp'
perform_finite_strain_rotations = false
cycle_models = true
[../]
[./cdp]
type = CappedDruckerPragerStressUpdate
base_name = cdp
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-5
tip_smoother = 1E3
smoothing_tol = 1E3
[../]
[./cwp]
type = CappedWeakPlaneStressUpdate
base_name = cwp
cohesion = wp_coh
tan_friction_angle = wp_tanphi
tan_dilation_angle = wp_tanpsi
tensile_strength = wp_t_strength
compressive_strength = wp_c_strength
tip_smoother = 1E3
smoothing_tol = 1E3
yield_function_tol = 1E-5
[../]
[]
[Executioner]
end_time = 2
dt = 1
type = Transient
[]
[Outputs]
file_base = cycled_dp_then_wp
csv = true
[]
(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_lode_zero.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '1E-6*x*t'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '-1.7E-6*y*t'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '1E-6*z*t'
[../]
[]
[AuxVariables]
[./mc_int]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./mc_int_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_internal_parameter
variable = mc_int
[../]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = yield_fcn
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./internal]
type = PointValue
point = '0 0 0'
variable = mc_int
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 1E5
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E5
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./mc_phi]
type = SolidMechanicsHardeningConstant
value = 35
convert_to_radians = true
[../]
[./mc_psi]
type = SolidMechanicsHardeningConstant
value = 5
convert_to_radians = true
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = mc_coh
mc_friction_angle = mc_phi
mc_dilation_angle = mc_psi
mc_interpolation_scheme = lode_zero
yield_function_tolerance = 1 # irrelevant here
internal_constraint_tolerance = 1 # irrelevant here
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E7'
[../]
[./admissible]
type = ComputeMultipleInelasticStress
inelastic_models = mc
perform_finite_strain_rotations = false
[../]
[./mc]
type = CappedDruckerPragerStressUpdate
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-8
tip_smoother = 8
smoothing_tol = 1E-7
[../]
[]
[Executioner]
end_time = 10
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform3_lode_zero
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform2_inner_tip.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '-1.5E-6*x+2E-6*x*sin(t)'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '2E-6*y*sin(2*t)'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '-2E-6*z*(sin(t)+sin(2*t))'
[../]
[]
[AuxVariables]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = yield_fcn
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[./f0]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[./f1]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 1000
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1000
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./mc_phi]
type = SolidMechanicsHardeningConstant
value = 20
convert_to_radians = true
[../]
[./mc_psi]
type = SolidMechanicsHardeningConstant
value = 0
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = mc_coh
mc_friction_angle = mc_phi
mc_dilation_angle = mc_psi
mc_interpolation_scheme = inner_tip
internal_constraint_tolerance = 1 # irrelevant here
yield_function_tolerance = 1 # irrelevant here
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E7'
[../]
[./admissible]
type = ComputeMultipleInelasticStress
inelastic_models = cdp
perform_finite_strain_rotations = false
[../]
[./cdp]
type = CappedDruckerPragerStressUpdate
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-8
tip_smoother = 4
smoothing_tol = 1E-5
[../]
[]
[Executioner]
end_time = 100
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform2_inner_tip
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/examples/coal_mining/cosserat_elastic.i)
# Strata deformation and fracturing around a coal mine
#
# A 2D geometry is used that simulates a transverse section of
# the coal mine. The model is actually 3D, but the "x"
# dimension is only 10m long, meshed with 1 element, and
# there is no "x" displacement. The mine is 400m deep
# and just the roof is studied (0<=z<=400). The model sits
# between 0<=y<=450. The excavation sits in 0<=y<=150. This
# is a "half model": the boundary conditions are such that
# the model simulates an excavation sitting in -150<=y<=150
# inside a model of the region -450<=y<=450. The
# excavation height is 3m (ie, the excavation lies within
# 0<=z<=3).
#
# Time is meaningless in this example
# as quasi-static solutions are sought at each timestep, but
# the number of timesteps controls the resolution of the
# process.
#
# The boundary conditions for this elastic simulation are:
# - disp_x = 0 everywhere
# - disp_y = 0 at y=0 and y=450
# - disp_z = 0 for y>150
# - wc_x = 0 at y=0 and y=450.
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa. The initial stress is consistent with
# the weight force from density 2500 kg/m^3, ie, stress_zz = -0.025*(300-z) MPa
# where gravity = 10 m.s^-2 = 1E-5 MPa m^2/kg. The maximum and minimum
# principal horizontal stresses are assumed to be equal to 0.8*stress_zz.
#
# This is an elastic simulation, but the weak-plane and Drucker-Prager
# parameters and AuxVariables may be found below. They are irrelevant
# in this simulation. The weak-plane and Drucker-Prager cohesions,
# tensile strengths and compressive strengths have been set very high
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
#
[Mesh]
[generated_mesh]
type = GeneratedMeshGenerator
dim = 3
nx = 1
xmin = -5
xmax = 5
nz = 40
zmin = 0
zmax = 403.003
bias_z = 1.1
ny = 30 # make this a multiple of 3, so y=150 is at a node
ymin = 0
ymax = 450
[]
[left]
type = SideSetsAroundSubdomainGenerator
new_boundary = 11
normal = '0 -1 0'
input = generated_mesh
[]
[right]
type = SideSetsAroundSubdomainGenerator
new_boundary = 12
normal = '0 1 0'
input = left
[]
[front]
type = SideSetsAroundSubdomainGenerator
new_boundary = 13
normal = '-1 0 0'
input = right
[]
[back]
type = SideSetsAroundSubdomainGenerator
new_boundary = 14
normal = '1 0 0'
input = front
[]
[top]
type = SideSetsAroundSubdomainGenerator
new_boundary = 15
normal = '0 0 1'
input = back
[]
[bottom]
type = SideSetsAroundSubdomainGenerator
new_boundary = 16
normal = '0 0 -1'
input = top
[]
[excav]
type = SubdomainBoundingBoxGenerator
block_id = 1
bottom_left = '-5 0 0'
top_right = '5 150 3'
input = bottom
[]
[roof]
type = SideSetsBetweenSubdomainsGenerator
new_boundary = 21
primary_block = 0
paired_block = 1
input = excav
[]
[hole]
type = BlockDeletionGenerator
block = 1
input = roof
[]
[]
[GlobalParams]
block = 0
perform_finite_strain_rotations = false
displacements = 'disp_x disp_y disp_z'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[]
[Kernels]
[./cy_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_y
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_z
component = 2
[../]
[./x_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_x
component = 0
[../]
[./gravity]
type = Gravity
use_displaced_mesh = false
variable = disp_z
value = -10E-6 # remember this is in MPa
[../]
[]
[AuxVariables]
[./disp_x]
[../]
[./wc_y]
[../]
[./wc_z]
[../]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_shear_f]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_tensile_f]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_shear_f]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_tensile_f]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[../]
[./stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[../]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_yx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yx
index_i = 1
index_j = 0
[../]
[./stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[../]
[./stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[../]
[./stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
[../]
[./stress_zy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zy
index_i = 2
index_j = 1
[../]
[./stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[./dp_shear]
type = MaterialStdVectorAux
index = 0
property = dp_plastic_internal_parameter
variable = dp_shear
[../]
[./dp_tensile]
type = MaterialStdVectorAux
index = 1
property = dp_plastic_internal_parameter
variable = dp_tensile
[../]
[./wp_shear]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_internal_parameter
variable = wp_shear
[../]
[./wp_tensile]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_internal_parameter
variable = wp_tensile
[../]
[./dp_shear_f]
type = MaterialStdVectorAux
index = 0
property = dp_plastic_yield_function
variable = dp_shear_f
[../]
[./dp_tensile_f]
type = MaterialStdVectorAux
index = 1
property = dp_plastic_yield_function
variable = dp_tensile_f
[../]
[./wp_shear_f]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_yield_function
variable = wp_shear_f
[../]
[./wp_tensile_f]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_yield_function
variable = wp_tensile_f
[../]
[]
[BCs]
[./no_y]
type = DirichletBC
variable = disp_y
boundary = '11 12'
value = 0.0
[../]
[./no_z]
type = DirichletBC
variable = disp_z
boundary = '16'
value = 0.0
[../]
[./no_wc_x]
type = DirichletBC
variable = wc_x
boundary = '11 12'
value = 0.0
[../]
[]
[Functions]
[./ini_xx]
type = ParsedFunction
expression = '-0.8*2500*10E-6*(403.003-z)'
[../]
[./ini_zz]
type = ParsedFunction
expression = '-2500*10E-6*(403.003-z)'
[../]
[]
[UserObjects]
[./dp_coh_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 2.9 # MPa
value_residual = 3.1 # MPa
rate = 1.0
[../]
[./dp_fric]
type = SolidMechanicsHardeningConstant
value = 0.65 # 37deg
[../]
[./dp_dil]
type = SolidMechanicsHardeningConstant
value = 0.65
[../]
[./dp_tensile_str_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.4 # MPa
rate = 1.0
[../]
[./dp_compressive_str]
type = SolidMechanicsHardeningConstant
value = 1.0E3 # Large!
[../]
[./drucker_prager_model]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = dp_coh_strong_harden
mc_friction_angle = dp_fric
mc_dilation_angle = dp_dil
internal_constraint_tolerance = 1 # irrelevant here
yield_function_tolerance = 1 # irrelevant here
[../]
[./wp_coh]
type = SolidMechanicsHardeningConstant
value = 1E12
[../]
[./wp_tan_fric]
type = SolidMechanicsHardeningConstant
value = 0.36 # 20deg
[../]
[./wp_tan_dil]
type = SolidMechanicsHardeningConstant
value = 0.18 # 10deg
[../]
[./wp_tensile_str]
type = SolidMechanicsHardeningConstant
value = 1E12
[../]
[./wp_compressive_str]
type = SolidMechanicsHardeningConstant
value = 1E12
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = 'ini_xx 0 0 0 ini_xx 0 0 0 ini_zz'
eigenstrain_name = ini_stress
[../]
[./stress]
# this is needed so as to correctly apply the initial stress
type = ComputeMultipleInelasticCosseratStress
block = 0
inelastic_models = ''
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[../]
[./dp]
type = CappedDruckerPragerCosseratStressUpdate
block = 0
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = dp
DP_model = drucker_prager_model
tensile_strength = dp_tensile_str_strong_harden
compressive_strength = dp_compressive_str
max_NR_iterations = 100000
tip_smoother = 0.1E1
smoothing_tol = 0.1E1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-11 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0
[../]
[./wp]
type = CappedWeakPlaneCosseratStressUpdate
block = 0
warn_about_precision_loss = false
base_name = wp
cohesion = wp_coh
tan_friction_angle = wp_tan_fric
tan_dilation_angle = wp_tan_dil
tensile_strength = wp_tensile_str
compressive_strength = wp_compressive_str
max_NR_iterations = 10000
tip_smoother = 0.1
smoothing_tol = 0.1 # MPa # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
yield_function_tol = 1E-11 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0E-3
[../]
[./density]
type = GenericConstantMaterial
prop_names = density
prop_values = 2500
[../]
[]
[Postprocessors]
[./subs_max]
type = PointValue
point = '0 0 403.003'
variable = disp_z
use_displaced_mesh = false
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'Linear'
petsc_options = '-snes_converged_reason'
petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
petsc_options_value = ' asm 2 lu gmres 200'
line_search = bt
nl_abs_tol = 1e-3
nl_rel_tol = 1e-5
l_max_its = 30
nl_max_its = 1000
start_time = 0.0
dt = 1.0
end_time = 1.0
[]
[Outputs]
file_base = cosserat_elastic
time_step_interval = 1
print_linear_residuals = false
exodus = true
csv = true
console = true
#[./console]
# type = Console
# output_linear = false
#[../]
[]
(modules/solid_mechanics/test/tests/multiple_two_parameter_plasticity/dp_and_wp.i)
# Use ComputeMultipleInelasticStress with two inelastic models: CappedDruckerPrager and CappedWeakPlane.
# The relative_tolerance and absolute_tolerance parameters are set small so that many
# Picard iterations need to be performed.
#
# The CappedDruckerPrager has tensile strength 3E2 and large cohesion,
# and the return-map sets stress = trial_stress - diag(d, d, d), for
# some d to be determined
# The CappedWeakPlane has tensile strength zero and large cohesion,
# and the return-map sets stress = diag(t - v*w/(1-v), t - v*w/(1-v), t - w)
# where t is trial stress, v is Poisson's ratio, and w is to be determined
#
# d and w are determined by demanding that the final stress shouldn't depend
# on the order of return-mapping (DP first then WP, or WP first then DP).
#
# Let the initial_stress = diag(I, I, I).
# The returned stress is diag(I - d - v*w/(1-v), I - d - v*w/(1-v), I - d - w). This
# must obey Tr(stress) <= dp_tensile_strength, and I-d-w <= wp_tensile_strength.
#
# For I = 1E3, and v = 0.2, the solution is d = 800 and w = 200, with
# stress = diag(150, 150, 0)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
eigenstrain_names = ini_stress
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = 0
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = 0
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = 0
[../]
[]
[AuxVariables]
[./yield_fcn_dp]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn_wp]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./yield_fcn_dp_auxk]
type = MaterialStdVectorAux
index = 1 # this is the tensile yield function - it should be zero
property = cdp_plastic_yield_function
variable = yield_fcn_dp
[../]
[./yield_fcn_wp_auxk]
type = MaterialStdVectorAux
index = 1 # this is the tensile yield function - it should be zero
property = cwp_plastic_yield_function
variable = yield_fcn_wp
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./f_dp]
type = PointValue
point = '0 0 0'
variable = yield_fcn_dp
[../]
[./f_wp]
type = PointValue
point = '0 0 0'
variable = yield_fcn_wp
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 300
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E4
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 1E4
[../]
[./mc_phi]
type = SolidMechanicsHardeningConstant
value = 20
convert_to_radians = true
[../]
[./mc_psi]
type = SolidMechanicsHardeningConstant
value = 0
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = mc_coh
mc_friction_angle = mc_phi
mc_dilation_angle = mc_psi
internal_constraint_tolerance = 1 # irrelevant here
yield_function_tolerance = 1 # irrelevant here
[../]
[./wp_coh]
type = SolidMechanicsHardeningConstant
value = 1E4
[../]
[./wp_tanphi]
type = SolidMechanicsHardeningConstant
value = 0.5
[../]
[./wp_tanpsi]
type = SolidMechanicsHardeningConstant
value = 0.1111077
[../]
[./wp_t_strength]
type = SolidMechanicsHardeningConstant
value = 0
[../]
[./wp_c_strength]
type = SolidMechanicsHardeningConstant
value = 1E4
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
poissons_ratio = 0.2
youngs_modulus = 1E7
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '1E3 0 0 0 1E3 0 0 0 1E3'
eigenstrain_name = ini_stress
[../]
[./admissible]
type = ComputeMultipleInelasticStress
relative_tolerance = 1E-8
inelastic_models = 'cdp cwp'
perform_finite_strain_rotations = false
[../]
[./cdp]
type = CappedDruckerPragerStressUpdate
base_name = cdp
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-5
tip_smoother = 1E3
smoothing_tol = 1E3
[../]
[./cwp]
type = CappedWeakPlaneStressUpdate
base_name = cwp
cohesion = wp_coh
tan_friction_angle = wp_tanphi
tan_dilation_angle = wp_tanpsi
tensile_strength = wp_t_strength
compressive_strength = wp_c_strength
tip_smoother = 1E3
smoothing_tol = 1E3
yield_function_tol = 1E-5
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = dp_and_wp
csv = true
[]
(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_outer_tip.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '1E-6*x*t'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '-1.7E-6*y*t'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '1E-6*z*t'
[../]
[]
[AuxVariables]
[./mc_int]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./mc_int_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_internal_parameter
variable = mc_int
[../]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = yield_fcn
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./internal]
type = PointValue
point = '0 0 0'
variable = mc_int
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 1E5
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E5
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./mc_phi]
type = SolidMechanicsHardeningConstant
value = 35
convert_to_radians = true
[../]
[./mc_psi]
type = SolidMechanicsHardeningConstant
value = 5
convert_to_radians = true
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = mc_coh
mc_friction_angle = mc_phi
mc_dilation_angle = mc_psi
mc_interpolation_scheme = outer_tip
yield_function_tolerance = 1 # irrelevant here
internal_constraint_tolerance = 1 # irrelevant here
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E7'
[../]
[./admissible]
type = ComputeMultipleInelasticStress
inelastic_models = mc
perform_finite_strain_rotations = false
[../]
[./mc]
type = CappedDruckerPragerStressUpdate
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-8
tip_smoother = 8
smoothing_tol = 1E-7
[../]
[]
[Executioner]
end_time = 10
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform3_outer_tip
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform2_inner_edge.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '-1.5E-6*x+2E-6*x*sin(t)'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '2E-6*y*sin(2*t)'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '-2E-6*z*(sin(t)+sin(2*t))'
[../]
[]
[AuxVariables]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = yield_fcn
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[./f0]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[./f1]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 1000
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1000
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./mc_phi]
type = SolidMechanicsHardeningConstant
value = 20
convert_to_radians = true
[../]
[./mc_psi]
type = SolidMechanicsHardeningConstant
value = 0
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = mc_coh
mc_friction_angle = mc_phi
mc_dilation_angle = mc_psi
mc_interpolation_scheme = inner_edge
internal_constraint_tolerance = 1 # irrelevant here
yield_function_tolerance = 1 # irrelevant here
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 0
lambda = 0.0
shear_modulus = 1.0e7
[../]
[./admissible]
type = ComputeMultipleInelasticStress
inelastic_models = cdp
perform_finite_strain_rotations = false
[../]
[./cdp]
type = CappedDruckerPragerStressUpdate
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-8
tip_smoother = 4
smoothing_tol = 1E-5
[../]
[]
[Executioner]
end_time = 100
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform2_inner_edge
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform2_native.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '-1.5E-6*x+2E-6*x*sin(t)'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '2E-6*y*sin(2*t)'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '-2E-6*z*(sin(t)+sin(2*t))'
[../]
[]
[AuxVariables]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = yield_fcn
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[./f0]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[./f1]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 1000
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1000
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./mc_phi]
type = SolidMechanicsHardeningConstant
value = 20
convert_to_radians = true
[../]
[./mc_psi]
type = SolidMechanicsHardeningConstant
value = 0
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = mc_coh
mc_friction_angle = mc_phi
mc_dilation_angle = mc_psi
mc_interpolation_scheme = native
internal_constraint_tolerance = 1 # irrelevant here
yield_function_tolerance = 1 # irrelevant here
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E7'
[../]
[./admissible]
type = ComputeMultipleInelasticStress
inelastic_models = cdp
perform_finite_strain_rotations = false
[../]
[./cdp]
type = CappedDruckerPragerStressUpdate
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-8
tip_smoother = 4
smoothing_tol = 1E-5
[../]
[]
[Executioner]
end_time = 100
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform2_native
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/examples/coal_mining/cosserat_wp_only.i)
# Strata deformation and fracturing around a coal mine
#
# A 2D geometry is used that simulates a transverse section of
# the coal mine. The model is actually 3D, but the "x"
# dimension is only 10m long, meshed with 1 element, and
# there is no "x" displacement. The mine is 300m deep
# and just the roof is studied (0<=z<=300). The model sits
# between 0<=y<=450. The excavation sits in 0<=y<=150. This
# is a "half model": the boundary conditions are such that
# the model simulates an excavation sitting in -150<=y<=150
# inside a model of the region -450<=y<=450. The
# excavation height is 3m (ie, the excavation lies within
# 0<=z<=3). Mining is simulated by moving the excavation's
# roof down, until disp_z=-3 at t=1.
# Time is meaningless in this example
# as quasi-static solutions are sought at each timestep, but
# the number of timesteps controls the resolution of the
# process.
#
# The boundary conditions are:
# - disp_x = 0 everywhere
# - disp_y = 0 at y=0 and y=450
# - disp_z = 0 for y>150
# - disp_z = -3 at maximum, for 0<=y<=150. See excav function.
# That is, rollers on the sides, free at top, and prescribed at bottom.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa. The initial stress is consistent with
# the weight force from density 2500 kg/m^3, ie, stress_zz = -0.025*(300-z) MPa
# where gravity = 10 m.s^-2 = 1E-5 MPa m^2/kg. The maximum and minimum
# principal horizontal stresses are assumed to be equal to 0.8*stress_zz.
#
# Below you will see Drucker-Prager parameters and AuxVariables, etc.
# These are not actally used in this example.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# Weak-plane cohesion = 0.1 MPa
# Weak-plane friction angle = 20 deg
# Weak-plane dilation angle = 10 deg
# Weak-plane tensile strength = 0.1 MPa
# Weak-plane compressive strength = 100 MPa, varying down to 1 MPa when tensile strain = 1
#
[Mesh]
[generated_mesh]
type = GeneratedMeshGenerator
dim = 3
nx = 1
xmin = -5
xmax = 5
nz = 40
zmin = 0
zmax = 400
bias_z = 1.1
ny = 30 # make this a multiple of 3, so y=150 is at a node
ymin = 0
ymax = 450
[]
[left]
type = SideSetsAroundSubdomainGenerator
new_boundary = 11
normal = '0 -1 0'
input = generated_mesh
[]
[right]
type = SideSetsAroundSubdomainGenerator
new_boundary = 12
normal = '0 1 0'
input = left
[]
[front]
type = SideSetsAroundSubdomainGenerator
new_boundary = 13
normal = '-1 0 0'
input = right
[]
[back]
type = SideSetsAroundSubdomainGenerator
new_boundary = 14
normal = '1 0 0'
input = front
[]
[top]
type = SideSetsAroundSubdomainGenerator
new_boundary = 15
normal = '0 0 1'
input = back
[]
[bottom]
type = SideSetsAroundSubdomainGenerator
new_boundary = 16
normal = '0 0 -1'
input = top
[]
[excav]
type = SubdomainBoundingBoxGenerator
block_id = 1
bottom_left = '-5 0 0'
top_right = '5 150 3'
input = bottom
[]
[roof]
type = SideSetsBetweenSubdomainsGenerator
new_boundary = 21
primary_block = 0
paired_block = 1
input = excav
[]
[hole]
type = BlockDeletionGenerator
block = 1
input = roof
[]
[]
[GlobalParams]
block = 0
perform_finite_strain_rotations = false
displacements = 'disp_x disp_y disp_z'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[]
[Kernels]
[./cy_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_y
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_z
component = 2
[../]
[./x_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_x
component = 0
[../]
[./gravity]
type = Gravity
use_displaced_mesh = false
variable = disp_z
value = -10E-6
[../]
[]
[AuxVariables]
[./disp_x]
[../]
[./wc_y]
[../]
[./wc_z]
[../]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_shear_f]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_tensile_f]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_shear_f]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_tensile_f]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[../]
[./stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[../]
[./stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[./dp_shear]
type = MaterialStdVectorAux
index = 0
property = dp_plastic_internal_parameter
variable = dp_shear
[../]
[./dp_tensile]
type = MaterialStdVectorAux
index = 1
property = dp_plastic_internal_parameter
variable = dp_tensile
[../]
[./wp_shear]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_internal_parameter
variable = wp_shear
[../]
[./wp_tensile]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_internal_parameter
variable = wp_tensile
[../]
[./dp_shear_f]
type = MaterialStdVectorAux
index = 0
property = dp_plastic_yield_function
variable = dp_shear_f
[../]
[./dp_tensile_f]
type = MaterialStdVectorAux
index = 1
property = dp_plastic_yield_function
variable = dp_tensile_f
[../]
[./wp_shear_f]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_yield_function
variable = wp_shear_f
[../]
[./wp_tensile_f]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_yield_function
variable = wp_tensile_f
[../]
[]
[BCs]
[./no_y]
type = DirichletBC
variable = disp_y
boundary = '11 12 16 21' # note addition of 16 and 21
value = 0.0
[../]
[./no_z]
type = DirichletBC
variable = disp_z
boundary = '16'
value = 0.0
[../]
[./no_wc_x]
type = DirichletBC
variable = wc_x
boundary = '11 12'
value = 0.0
[../]
[./roof]
type = FunctionDirichletBC
variable = disp_z
boundary = 21
function = excav_sideways
[../]
[]
[Functions]
[./ini_xx]
type = ParsedFunction
expression = '-0.8*2500*10E-6*(400-z)'
[../]
[./ini_zz]
type = ParsedFunction
expression = '-2500*10E-6*(400-z)'
[../]
[./excav_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax e_h closure_dist'
symbol_values = '1.0 0 150.0 -3.0 15.0'
expression = 'e_h*max(min((t/end_t*(ymax-ymin)+ymin-y)/closure_dist,1),0)'
[../]
[./excav_downwards]
type = ParsedFunction
symbol_names = 'end_t ymin ymax e_h closure_dist'
symbol_values = '1.0 0 150.0 -3.0 15.0'
expression = 'e_h*t/end_t*max(min(((ymax-ymin)+ymin-y)/closure_dist,1),0)'
[../]
[]
[UserObjects]
[./dp_coh_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 2.9 # MPa
value_residual = 3.1 # MPa
rate = 1.0
[../]
[./dp_fric]
type = SolidMechanicsHardeningConstant
value = 0.65 # 37deg
[../]
[./dp_dil]
type = SolidMechanicsHardeningConstant
value = 0.65
[../]
[./dp_tensile_str_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.4 # MPa
rate = 1.0
[../]
[./dp_compressive_str]
type = SolidMechanicsHardeningConstant
value = 1.0E3 # Large!
[../]
[./drucker_prager_model]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = dp_coh_strong_harden
mc_friction_angle = dp_fric
mc_dilation_angle = dp_dil
internal_constraint_tolerance = 1 # irrelevant here
yield_function_tolerance = 1 # irrelevant here
[../]
[./wp_coh_harden]
type = SolidMechanicsHardeningCubic
value_0 = 0.1
value_residual = 0.1
internal_limit = 10
[../]
[./wp_tan_fric]
type = SolidMechanicsHardeningConstant
value = 0.36 # 20deg
[../]
[./wp_tan_dil]
type = SolidMechanicsHardeningConstant
value = 0.18 # 10deg
[../]
[./wp_tensile_str_harden]
type = SolidMechanicsHardeningCubic
value_0 = 0.1
value_residual = 0.1
internal_limit = 10
[../]
[./wp_compressive_str_soften]
type = SolidMechanicsHardeningCubic
value_0 = 100
value_residual = 1.0
internal_limit = 1.0
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = 'ini_xx 0 0 0 ini_xx 0 0 0 ini_zz'
eigenstrain_name = ini_stress
[../]
[./stress]
type = ComputeMultipleInelasticCosseratStress
block = 0
inelastic_models = 'wp'
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[../]
[./dp]
type = CappedDruckerPragerCosseratStressUpdate
block = 0
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = dp
DP_model = drucker_prager_model
tensile_strength = dp_tensile_str_strong_harden
compressive_strength = dp_compressive_str
max_NR_iterations = 100000
tip_smoother = 0.1E1
smoothing_tol = 0.1E1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-11 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0
[../]
[./wp]
type = CappedWeakPlaneCosseratStressUpdate
block = 0
warn_about_precision_loss = false
base_name = wp
cohesion = wp_coh_harden
tan_friction_angle = wp_tan_fric
tan_dilation_angle = wp_tan_dil
tensile_strength = wp_tensile_str_harden
compressive_strength = wp_compressive_str_soften
max_NR_iterations = 10000
tip_smoother = 0.1
smoothing_tol = 0.1 # MPa # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
yield_function_tol = 1E-11 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0E-3
[../]
[./density]
type = GenericConstantMaterial
prop_names = density
prop_values = 2500
[../]
[]
[Postprocessors]
[./subsidence]
type = PointValue
point = '0 0 400'
variable = disp_z
use_displaced_mesh = false
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason'
petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
petsc_options_value = ' asm 2 lu gmres 200'
line_search = bt
nl_abs_tol = 1e-3
nl_rel_tol = 1e-5
l_max_its = 30
nl_max_its = 1000
start_time = 0.0
dt = 0.2
end_time = 0.2
[]
[Outputs]
file_base = cosserat_wp_only
time_step_interval = 1
print_linear_residuals = false
csv = true
exodus = true
[./console]
type = Console
output_linear = false
[../]
[]
(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform2_lode_zero.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '-1.5E-6*x+2E-6*x*sin(t)'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '2E-6*y*sin(2*t)'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '-2E-6*z*(sin(t)+sin(2*t))'
[../]
[]
[AuxVariables]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = yield_fcn
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[./f0]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[./f1]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 1000
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1000
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./mc_phi]
type = SolidMechanicsHardeningConstant
value = 20
convert_to_radians = true
[../]
[./mc_psi]
type = SolidMechanicsHardeningConstant
value = 0
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = mc_coh
mc_friction_angle = mc_phi
mc_dilation_angle = mc_psi
mc_interpolation_scheme = lode_zero
internal_constraint_tolerance = 1 # irrelevant here
yield_function_tolerance = 1 # irrelevant here
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 0
lambda = 0.0
shear_modulus = 1.0e7
[../]
[./admissible]
type = ComputeMultipleInelasticStress
inelastic_models = cdp
perform_finite_strain_rotations = false
[../]
[./cdp]
type = CappedDruckerPragerStressUpdate
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-8
tip_smoother = 4
smoothing_tol = 1E-5
[../]
[]
[Executioner]
end_time = 100
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform2_lode_zero
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/test/tests/multiple_two_parameter_plasticity/dp_then_wp.i)
# Use ComputeMultipleInelasticStress with two inelastic models: CappedDruckerPrager and CappedWeakPlane.
# The relative_tolerance and absolute_tolerance parameters are set very large so that
# only one iteration is performed. This is the algorithm that FLAC uses to model
# jointed rocks, only Capped-Mohr-Coulomb is used instead of CappedDruckerPrager
#
# initial_stress = diag(1E3, 1E3, 1E3)
# The CappedDruckerPrager has tensile strength 3E2 and large cohesion,
# so the stress initially returns to diag(1E2, 1E2, 1E2)
# The CappedWeakPlane has tensile strength zero and large cohesion,
# so the stress returns to diag(1E2 - v/(1-v)*1E2, 1E2 - v/(1-v)*1E2, 0)
# where v=0.2 is the Poisson's ratio
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
eigenstrain_names = ini_stress
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = 0
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = 0
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = 0
[../]
[]
[AuxVariables]
[./yield_fcn_dp]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn_wp]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./yield_fcn_dp_auxk]
type = MaterialStdVectorAux
index = 1 # this is the tensile yield function - it should be zero
property = cdp_plastic_yield_function
variable = yield_fcn_dp
[../]
[./yield_fcn_wp_auxk]
type = MaterialStdVectorAux
index = 1 # this is the tensile yield function - it should be zero
property = cwp_plastic_yield_function
variable = yield_fcn_wp
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./f_dp]
type = PointValue
point = '0 0 0'
variable = yield_fcn_dp
[../]
[./f_wp]
type = PointValue
point = '0 0 0'
variable = yield_fcn_wp
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 300
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E4
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 1E4
[../]
[./mc_phi]
type = SolidMechanicsHardeningConstant
value = 20
convert_to_radians = true
[../]
[./mc_psi]
type = SolidMechanicsHardeningConstant
value = 0
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = mc_coh
mc_friction_angle = mc_phi
mc_dilation_angle = mc_psi
internal_constraint_tolerance = 1 # irrelevant here
yield_function_tolerance = 1 # irrelevant here
[../]
[./wp_coh]
type = SolidMechanicsHardeningConstant
value = 1E4
[../]
[./wp_tanphi]
type = SolidMechanicsHardeningConstant
value = 0.5
[../]
[./wp_tanpsi]
type = SolidMechanicsHardeningConstant
value = 0.1111077
[../]
[./wp_t_strength]
type = SolidMechanicsHardeningConstant
value = 0
[../]
[./wp_c_strength]
type = SolidMechanicsHardeningConstant
value = 1E4
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
poissons_ratio = 0.2
youngs_modulus = 1E7
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '1E3 0 0 0 1E3 0 0 0 1E3'
eigenstrain_name = ini_stress
[../]
[./admissible]
type = ComputeMultipleInelasticStress
relative_tolerance = 1E4
absolute_tolerance = 2
inelastic_models = 'cdp cwp'
perform_finite_strain_rotations = false
[../]
[./cdp]
type = CappedDruckerPragerStressUpdate
base_name = cdp
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-5
tip_smoother = 1E3
smoothing_tol = 1E3
[../]
[./cwp]
type = CappedWeakPlaneStressUpdate
base_name = cwp
cohesion = wp_coh
tan_friction_angle = wp_tanphi
tan_dilation_angle = wp_tanpsi
tensile_strength = wp_t_strength
compressive_strength = wp_c_strength
tip_smoother = 1E3
smoothing_tol = 1E3
yield_function_tol = 1E-5
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = dp_then_wp
csv = true
[]
(modules/solid_mechanics/test/tests/capped_drucker_prager/random.i)
# capped drucker-prager
# apply many random large deformations, checking that the algorithm returns correctly to
# the yield surface each time.
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1000
ny = 125
nz = 1
xmin = 0
xmax = 1000
ymin = 0
ymax = 125
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
strain = finite
[../]
[]
[ICs]
[./x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[../]
[./y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[../]
[./z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '0'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '0'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '0'
[../]
[]
[AuxVariables]
[./shear_yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[./tensile_yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[./compressive_yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./shear_yield_fcn_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = shear_yield_fcn
[../]
[./tensile_fcn_auxk]
type = MaterialStdVectorAux
index = 1
property = plastic_yield_function
variable = tensile_yield_fcn
[../]
[./compressive_yield_fcn_auxk]
type = MaterialStdVectorAux
index = 2
property = plastic_yield_function
variable = compressive_yield_fcn
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./shear_max]
type = ElementExtremeValue
variable = shear_yield_fcn
outputs = 'console'
[../]
[./tensile_max]
type = ElementExtremeValue
variable = tensile_yield_fcn
outputs = 'console'
[../]
[./compressive_max]
type = ElementExtremeValue
variable = compressive_yield_fcn
outputs = 'console'
[../]
[./should_be_zero_shear]
type = FunctionValuePostprocessor
function = shear_should_be_zero_fcn
[../]
[./should_be_zero_compressive]
type = FunctionValuePostprocessor
function = compressive_should_be_zero_fcn
[../]
[./should_be_zero_tensile]
type = FunctionValuePostprocessor
function = tensile_should_be_zero_fcn
[../]
[./av_iter]
type = ElementAverageValue
variable = iter
outputs = 'console'
[../]
[]
[Functions]
[./shear_should_be_zero_fcn]
type = ParsedFunction
expression = 'if(a<1E-3,0,a)'
symbol_names = 'a'
symbol_values = 'shear_max'
[../]
[./tensile_should_be_zero_fcn]
type = ParsedFunction
expression = 'if(a<1E-3,0,a)'
symbol_names = 'a'
symbol_values = 'tensile_max'
[../]
[./compressive_should_be_zero_fcn]
type = ParsedFunction
expression = 'if(a<1E-3,0,a)'
symbol_names = 'a'
symbol_values = 'compressive_max'
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 1000
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1000
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 1E3
[../]
[./mc_phi]
type = SolidMechanicsHardeningConstant
value = 30
convert_to_radians = true
[../]
[./mc_psi]
type = SolidMechanicsHardeningConstant
value = 5
convert_to_radians = true
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = mc_coh
mc_friction_angle = mc_phi
mc_dilation_angle = mc_psi
yield_function_tolerance = 1 # irrelevant here
internal_constraint_tolerance = 1 # irrelevant here
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0.7E7 1E7'
[../]
[./admissible]
type = ComputeMultipleInelasticStress
inelastic_models = dp
perform_finite_strain_rotations = false
[../]
[./dp]
type = CappedDruckerPragerStressUpdate
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-3
tip_smoother = 0.1E3
smoothing_tol = 0.1E3
max_NR_iterations = 1000
small_dilation = false
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = random
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_inner_tip.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '1E-6*x*t'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '-1.7E-6*y*t'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '1E-6*z*t'
[../]
[]
[AuxVariables]
[./mc_int]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./mc_int_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_internal_parameter
variable = mc_int
[../]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = yield_fcn
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./internal]
type = PointValue
point = '0 0 0'
variable = mc_int
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 1E5
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E5
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./mc_phi]
type = SolidMechanicsHardeningConstant
value = 35
convert_to_radians = true
[../]
[./mc_psi]
type = SolidMechanicsHardeningConstant
value = 5
convert_to_radians = true
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = mc_coh
mc_friction_angle = mc_phi
mc_dilation_angle = mc_psi
mc_interpolation_scheme = inner_tip
yield_function_tolerance = 1 # irrelevant here
internal_constraint_tolerance = 1 # irrelevant here
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E7'
[../]
[./admissible]
type = ComputeMultipleInelasticStress
inelastic_models = mc
perform_finite_strain_rotations = false
[../]
[./mc]
type = CappedDruckerPragerStressUpdate
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-8
tip_smoother = 8
smoothing_tol = 1E-7
[../]
[]
[Executioner]
end_time = 10
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform3_inner_tip
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform2_outer_tip.i)
# apply repeated stretches in x, y and z directions, so that mean_stress = 0
# This maps out the yield surface in the octahedral plane for zero mean stress
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '-1.5E-6*x+2E-6*x*sin(t)'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '2E-6*y*sin(2*t)'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '-2E-6*z*(sin(t)+sin(2*t))'
[../]
[]
[AuxVariables]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = yield_fcn
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[./f0]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[./f1]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 1000
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1000
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./mc_phi]
type = SolidMechanicsHardeningConstant
value = 20
convert_to_radians = true
[../]
[./mc_psi]
type = SolidMechanicsHardeningConstant
value = 0
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = mc_coh
mc_friction_angle = mc_phi
mc_dilation_angle = mc_psi
mc_interpolation_scheme = outer_tip
internal_constraint_tolerance = 1 # irrelevant here
yield_function_tolerance = 1 # irrelevant here
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E7'
[../]
[./admissible]
type = ComputeMultipleInelasticStress
inelastic_models = cdp
perform_finite_strain_rotations = false
[../]
[./cdp]
type = CappedDruckerPragerStressUpdate
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-8
tip_smoother = 4
smoothing_tol = 1E-5
[../]
[]
[Executioner]
end_time = 100
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform2_outer_tip
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/test/tests/capped_drucker_prager/small_deform3_inner_edge.i)
# apply repeated stretches in x z directions, and smaller stretches along the y direction,
# so that sigma_I = sigma_II,
# which means that lode angle = 30deg.
# The allows yield surface in meridional plane to be mapped out
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Physics/SolidMechanics/QuasiStatic]
[./all]
add_variables = true
incremental = true
generate_output = 'stress_xx stress_xy stress_xz stress_yy stress_yz stress_zz'
[../]
[]
[BCs]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '1E-6*x*t'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '-1.7E-6*y*t'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '1E-6*z*t'
[../]
[]
[AuxVariables]
[./mc_int]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./mc_int_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_internal_parameter
variable = mc_int
[../]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = yield_fcn
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./internal]
type = PointValue
point = '0 0 0'
variable = mc_int
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 1E5
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E5
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./mc_phi]
type = SolidMechanicsHardeningConstant
value = 35
convert_to_radians = true
[../]
[./mc_psi]
type = SolidMechanicsHardeningConstant
value = 5
convert_to_radians = true
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = mc_coh
mc_friction_angle = mc_phi
mc_dilation_angle = mc_psi
mc_interpolation_scheme = inner_edge
yield_function_tolerance = 1 # irrelevant here
internal_constraint_tolerance = 1 # irrelevant here
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E7'
[../]
[./admissible]
type = ComputeMultipleInelasticStress
inelastic_models = mc
perform_finite_strain_rotations = false
[../]
[./mc]
type = CappedDruckerPragerStressUpdate
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-8
tip_smoother = 8
smoothing_tol = 1E-7
[../]
[]
[Executioner]
end_time = 10
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform3_inner_edge
exodus = false
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/include/userobjects/SolidMechanicsPlasticDruckerPragerHyperbolic.h)
// This file is part of the MOOSE framework
// https://www.mooseframework.org
//
// All rights reserved, see COPYRIGHT for full restrictions
// https://github.com/idaholab/moose/blob/master/COPYRIGHT
//
// Licensed under LGPL 2.1, please see LICENSE for details
// https://www.gnu.org/licenses/lgpl-2.1.html
#pragma once
#include "SolidMechanicsPlasticDruckerPrager.h"
#include "SolidMechanicsHardeningModel.h"
/**
* Rate-independent non-associative Drucker Prager
* with hardening/softening. The cone's tip is smoothed in a hyperbolic fashion
* Most functions (eg flowPotential, etc) are simply inherited from
* SolidMechanicsPlasticDruckerPrager. Note df_dsig is over-ridden
*/
class SolidMechanicsPlasticDruckerPragerHyperbolic : public SolidMechanicsPlasticDruckerPrager
{
public:
static InputParameters validParams();
SolidMechanicsPlasticDruckerPragerHyperbolic(const InputParameters & parameters);
virtual std::string modelName() const override;
virtual bool useCustomReturnMap() const override;
virtual bool useCustomCTO() const override;
protected:
Real yieldFunction(const RankTwoTensor & stress, Real intnl) const override;
RankFourTensor dflowPotential_dstress(const RankTwoTensor & stress, Real intnl) const override;
/// Function that's used in dyieldFunction_dstress and flowPotential
virtual RankTwoTensor df_dsig(const RankTwoTensor & stress, Real bbb) const override;
virtual bool returnMap(const RankTwoTensor & trial_stress,
Real intnl_old,
const RankFourTensor & E_ijkl,
Real ep_plastic_tolerance,
RankTwoTensor & returned_stress,
Real & returned_intnl,
std::vector<Real> & dpm,
RankTwoTensor & delta_dp,
std::vector<Real> & yf,
bool & trial_stress_inadmissible) const override;
virtual RankFourTensor
consistentTangentOperator(const RankTwoTensor & trial_stress,
Real intnl_old,
const RankTwoTensor & stress,
Real intnl,
const RankFourTensor & E_ijkl,
const std::vector<Real> & cumulative_pm) const override;
private:
/// smoothing parameter for the cone's tip
const Real _smoother2;
/// whether to use the custom returnMap function
const bool _use_custom_returnMap;
/// Whether to use the custom consistent tangent operator calculation
const bool _use_custom_cto;
/// max iters for custom return map loop
const unsigned _max_iters;
};