- cohesionA SolidMechanicsHardening UserObject that defines hardening of the cohesion. Physically the cohesion should not be negative.
C++ Type:UserObjectName
Controllable:No
Description:A SolidMechanicsHardening UserObject that defines hardening of the cohesion. Physically the cohesion should not be negative.
- compressive_strengthA SolidMechanicsHardening UserObject that defines hardening of the weak-plane compressive strength. In physical situations this is positive.
C++ Type:UserObjectName
Controllable:No
Description:A SolidMechanicsHardening UserObject that defines hardening of the weak-plane compressive strength. In physical situations this is positive.
- smoothing_tolIntersections of the yield surfaces will be smoothed by this amount (this is measured in units of stress). Often this is related to other physical parameters (eg, 0.1*cohesion) but it is important to set this small enough so that the individual yield surfaces do not mix together in the smoothing process to produce a result where no stress is admissible (for example, mixing together tensile and compressive failure envelopes).
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Intersections of the yield surfaces will be smoothed by this amount (this is measured in units of stress). Often this is related to other physical parameters (eg, 0.1*cohesion) but it is important to set this small enough so that the individual yield surfaces do not mix together in the smoothing process to produce a result where no stress is admissible (for example, mixing together tensile and compressive failure envelopes).
- tan_dilation_angleA SolidMechanicsHardening UserObject that defines hardening of the tan(dilation angle). Usually the dilation angle is not greater than the friction angle, and it is between 0 and 90deg.
C++ Type:UserObjectName
Controllable:No
Description:A SolidMechanicsHardening UserObject that defines hardening of the tan(dilation angle). Usually the dilation angle is not greater than the friction angle, and it is between 0 and 90deg.
- tan_friction_angleA SolidMechanicsHardening UserObject that defines hardening of tan(friction angle). Physically the friction angle should be between 0 and 90deg.
C++ Type:UserObjectName
Controllable:No
Description:A SolidMechanicsHardening UserObject that defines hardening of tan(friction angle). Physically the friction angle should be between 0 and 90deg.
- tensile_strengthA SolidMechanicsHardening UserObject that defines hardening of the weak-plane tensile strength. In physical situations this is positive (and always must be greater than negative compressive-strength.
C++ Type:UserObjectName
Controllable:No
Description:A SolidMechanicsHardening UserObject that defines hardening of the weak-plane tensile strength. In physical situations this is positive (and always must be greater than negative compressive-strength.
- tip_smootherThe cone vertex at shear-stress = 0 will be smoothed by the given amount. Typical value is 0.1*cohesion
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The cone vertex at shear-stress = 0 will be smoothed by the given amount. Typical value is 0.1*cohesion
- yield_function_tolThe return-map process will be deemed to have converged if all yield functions are within yield_function_tol of zero. If this is set very low then precision-loss might be encountered: if the code detects precision loss then it also deems the return-map process has converged.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:The return-map process will be deemed to have converged if all yield functions are within yield_function_tol of zero. If this is set very low then precision-loss might be encountered: if the code detects precision loss then it also deems the return-map process has converged.
CappedWeakPlaneCosseratStressUpdate
Capped weak-plane plasticity Cosserat stress calculator
See CappedWeakPlaneStressUpdate for details on the non-Cosserat capped weak plane stress model.
The difference between the Cosserat and non-Cosserat case is that the stress tensor is potentially non-symmetric, and that only and enter into the definition of . That is the equations in Theory for the stress variables hold as it is written. This means that the return-map process often results in a non-symmetric stress tensor, even if the trial stress was symmetric. The equations of moment equilibrium then typically generate a spatially-varying moment stress, the precise nature of which depends on the problem at hand, such as the boundary conditions.
The differences between the presentation in CappedWeakPlaneStressUpdate for the non-Cosserat case, and the Cosserat case are only:
The equations for the ZX and ZY components of the stress (in Return-map problem) do not hold. These components of stress take their trial values after the return-map problem has been solved: and .
The elasticity tensor need not have the symmetries given in the equations in section Constraints and assumptions concerning parameters: it only needs to satisfy .
See the theory manual (at solid_mechanics/doc/theory/capped_weak_plane.pdf) for more explanation.
Input Parameters
- admissible_stressA single admissible value of the value of the stress parameters for internal parameters = 0. This is used to initialize the return-mapping algorithm during the first nonlinear iteration. If not given then it is assumed that stress parameters = 0 is admissible.
C++ Type:std::vector<double>
Unit:(no unit assumed)
Controllable:No
Description:A single admissible value of the value of the stress parameters for internal parameters = 0. This is used to initialize the return-mapping algorithm during the first nonlinear iteration. If not given then it is assumed that stress parameters = 0 is admissible.
- base_nameOptional parameter that defines a prefix for all material properties related to this stress update model. This allows for multiple models of the same type to be used without naming conflicts.
C++ Type:std::string
Controllable:No
Description:Optional parameter that defines a prefix for all material properties related to this stress update model. This allows for multiple models of the same type to be used without naming conflicts.
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
- constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Options:NONE, ELEMENT, SUBDOMAIN
Controllable:No
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
- declare_suffixAn optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
- max_NR_iterations20Maximum number of Newton-Raphson iterations allowed during the return-map algorithm
Default:20
C++ Type:unsigned int
Controllable:No
Description:Maximum number of Newton-Raphson iterations allowed during the return-map algorithm
- min_step_size1In order to help the Newton-Raphson procedure, the applied strain increment may be applied in sub-increments of size greater than this value. Usually it is better for Moose's nonlinear convergence to increase max_NR_iterations rather than decrease this parameter.
Default:1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:In order to help the Newton-Raphson procedure, the applied strain increment may be applied in sub-increments of size greater than this value. Usually it is better for Moose's nonlinear convergence to increase max_NR_iterations rather than decrease this parameter.
- perfect_guessTrueProvide a guess to the Newton-Raphson procedure that is the result from perfect plasticity. With severe hardening/softening this may be suboptimal.
Default:True
C++ Type:bool
Controllable:No
Description:Provide a guess to the Newton-Raphson procedure that is the result from perfect plasticity. With severe hardening/softening this may be suboptimal.
- perform_finite_strain_rotationsFalseTensors are correctly rotated in finite-strain simulations. For optimal performance you can set this to 'false' if you are only ever using small strains
Default:False
C++ Type:bool
Controllable:No
Description:Tensors are correctly rotated in finite-strain simulations. For optimal performance you can set this to 'false' if you are only ever using small strains
- warn_about_precision_lossFalseOutput a message to the console every time precision-loss is encountered during the Newton-Raphson process
Default:False
C++ Type:bool
Controllable:No
Description:Output a message to the console every time precision-loss is encountered during the Newton-Raphson process
Optional Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- search_methodnearest_node_connected_sidesChoice of search algorithm. All options begin by finding the nearest node in the primary boundary to a query point in the secondary boundary. In the default nearest_node_connected_sides algorithm, primary boundary elements are searched iff that nearest node is one of their nodes. This is fast to determine via a pregenerated node-to-elem map and is robust on conforming meshes. In the optional all_proximate_sides algorithm, primary boundary elements are searched iff they touch that nearest node, even if they are not topologically connected to it. This is more CPU-intensive but is necessary for robustness on any boundary surfaces which has disconnections (such as Flex IGA meshes) or non-conformity (such as hanging nodes in adaptively h-refined meshes).
Default:nearest_node_connected_sides
C++ Type:MooseEnum
Options:nearest_node_connected_sides, all_proximate_sides
Controllable:No
Description:Choice of search algorithm. All options begin by finding the nearest node in the primary boundary to a query point in the secondary boundary. In the default nearest_node_connected_sides algorithm, primary boundary elements are searched iff that nearest node is one of their nodes. This is fast to determine via a pregenerated node-to-elem map and is robust on conforming meshes. In the optional all_proximate_sides algorithm, primary boundary elements are searched iff they touch that nearest node, even if they are not topologically connected to it. This is more CPU-intensive but is necessary for robustness on any boundary surfaces which has disconnections (such as Flex IGA meshes) or non-conformity (such as hanging nodes in adaptively h-refined meshes).
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
- smoother_function_typecosType of smoother function to use. 'cos' means (-a/pi)cos(pi x/2/a), 'polyN' means a polynomial of degree 2N+2
Default:cos
C++ Type:MooseEnum
Options:cos, poly1, poly2, poly3
Controllable:No
Description:Type of smoother function to use. 'cos' means (-a/pi)cos(pi x/2/a), 'polyN' means a polynomial of degree 2N+2
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
- output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector<std::string>
Controllable:No
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
- outputsnone Vector of output names where you would like to restrict the output of variables(s) associated with this object
Default:none
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
Outputs Parameters
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Material Property Retrieval Parameters
Input Files
- (modules/solid_mechanics/examples/coal_mining/cosserat_wp_only.i)
- (modules/solid_mechanics/test/tests/jacobian/cwpc02.i)
- (modules/solid_mechanics/examples/coal_mining/cosserat_elastic.i)
- (modules/solid_mechanics/examples/coal_mining/cosserat_mc_only.i)
- (modules/solid_mechanics/examples/coal_mining/cosserat_mc_wp_sticky_longitudinal.i)
- (modules/solid_mechanics/examples/coal_mining/coarse.i)
- (modules/solid_mechanics/examples/coal_mining/cosserat_mc_wp.i)
- (modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat3.i)
- (modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat4.i)
- (modules/solid_mechanics/examples/coal_mining/cosserat_mc_wp_sticky.i)
- (modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat2.i)
- (modules/solid_mechanics/examples/coal_mining/fine.i)
- (modules/porous_flow/examples/coal_mining/fine_with_fluid.i)
- (modules/solid_mechanics/test/tests/jacobian/cwpc01.i)
- (modules/porous_flow/examples/coal_mining/coarse_with_fluid.i)
- (modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat1.i)
- (modules/solid_mechanics/test/tests/jacobian/cdp_cwp_coss02.i)
- (modules/solid_mechanics/test/tests/jacobian/cdp_cwp_coss01.i)
(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/jacobian/cwpc02.i)
[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'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[./wc_y]
[../]
[]
[Kernels]
[./cx_elastic]
type = CosseratStressDivergenceTensors
variable = disp_x
component = 0
[../]
[./cy_elastic]
type = CosseratStressDivergenceTensors
variable = disp_y
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
variable = disp_z
component = 2
[../]
[./x_couple]
type = StressDivergenceTensors
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[../]
[./y_couple]
type = StressDivergenceTensors
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[]
[AuxVariables]
[./wc_z]
[../]
[]
[UserObjects]
[./coh]
type = SolidMechanicsHardeningConstant
value = 1
[../]
[./tanphi]
type = SolidMechanicsHardeningConstant
value = 0.5
[../]
[./tanpsi]
type = SolidMechanicsHardeningConstant
value = 2.055555555556E-01
[../]
[./t_strength]
type = SolidMechanicsHardeningConstant
value = 1
[../]
[./c_strength]
type = SolidMechanicsHardeningConstant
value = 100
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 10.0
poisson = 0.25
layer_thickness = 10.0
joint_normal_stiffness = 2.5
joint_shear_stiffness = 2.0
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '1 0.1 0.2 0.1 1 0.3 0 0 2' # not symmetric
eigenstrain_name = ini_stress
[../]
[./admissible]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = stress
[../]
[./stress]
type = CappedWeakPlaneCosseratStressUpdate
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
tensile_strength = t_strength
compressive_strength = c_strength
tip_smoother = 0.1
smoothing_tol = 0.1
yield_function_tol = 1E-5
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[../]
[]
[Executioner]
solve_type = 'NEWTON'
end_time = 1
dt = 1
type = Transient
[]
(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/examples/coal_mining/cosserat_mc_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 weak-plane 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
# MC cohesion = 3 MPa
# MC friction angle = 37 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC 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 = 400.0
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
[../]
[./mc_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./mc_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
[../]
[./mc_shear_f]
order = CONSTANT
family = MONOMIAL
[../]
[./mc_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
[../]
[./mc_shear]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_internal_parameter
variable = mc_shear
[../]
[./mc_tensile]
type = MaterialStdVectorAux
index = 1
property = mc_plastic_internal_parameter
variable = mc_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
[../]
[./mc_shear_f]
type = MaterialStdVectorAux
index = 6
property = mc_plastic_yield_function
variable = mc_shear_f
[../]
[./mc_tensile_f]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_yield_function
variable = mc_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]
[./mc_coh_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 2.99 # MPa
value_residual = 3.01 # MPa
rate = 1.0
[../]
[./mc_fric]
type = SolidMechanicsHardeningConstant
value = 0.65 # 37deg
[../]
[./mc_dil]
type = SolidMechanicsHardeningConstant
value = 0.15 # 8deg
[../]
[./mc_tensile_str_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.0 # MPa
rate = 1.0
[../]
[./mc_compressive_str]
type = SolidMechanicsHardeningCubic
value_0 = 100 # Large!
value_residual = 100
internal_limit = 0.1
[../]
[./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 = mc
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[../]
[./mc]
type = CappedMohrCoulombCosseratStressUpdate
block = 0
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = mc
tensile_strength = mc_tensile_str_strong_harden
compressive_strength = mc_compressive_str
cohesion = mc_coh_strong_harden
friction_angle = mc_fric
dilation_angle = mc_dil
max_NR_iterations = 100000
smoothing_tol = 0.1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-9 # 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_mc_only
time_step_interval = 1
print_linear_residuals = false
csv = true
exodus = true
[./console]
type = Console
output_linear = false
[../]
[]
(modules/solid_mechanics/examples/coal_mining/cosserat_mc_wp_sticky_longitudinal.i)
# Strata deformation and fracturing around a coal mine
#
# A 2D geometry is used that simulates a longitudinal 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 -300<=y<=1800. The excavation sits in 0<=y<=1500. 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=-300 and y=1800
# - disp_z = 0 at z=0, but there is a time-dependent
# Young's modulus that simulates excavation
# - wc_x = 0 at y=300 and y=1800.
# 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.
#
# 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
# MC cohesion = 3 MPa
# MC friction angle = 37 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
#
[Mesh]
[generated_mesh]
type = GeneratedMeshGenerator
dim = 3
nx = 1
xmin = -5
xmax = 5
nz = 40
zmin = 0
zmax = 400
bias_z = 1.1
ny = 140 # 15m elements
ymin = -300
ymax = 1800
[]
[left]
type = SideSetsAroundSubdomainGenerator
block = 0
new_boundary = 11
normal = '0 -1 0'
input = generated_mesh
[]
[right]
type = SideSetsAroundSubdomainGenerator
block = 0
new_boundary = 12
normal = '0 1 0'
input = left
[]
[front]
type = SideSetsAroundSubdomainGenerator
block = 0
new_boundary = 13
normal = '-1 0 0'
input = right
[]
[back]
type = SideSetsAroundSubdomainGenerator
block = 0
new_boundary = 14
normal = '1 0 0'
input = front
[]
[top]
type = SideSetsAroundSubdomainGenerator
block = 0
new_boundary = 15
normal = '0 0 1'
input = back
[]
[bottom]
type = SideSetsAroundSubdomainGenerator
block = 0
new_boundary = 16
normal = '0 0 -1'
input = top
[]
[excav]
type = SubdomainBoundingBoxGenerator
block_id = 1
bottom_left = '-5 0 0'
top_right = '5 1500 3'
input = bottom
[]
[roof]
type = SideSetsAroundSubdomainGenerator
block = 1
new_boundary = 18
normal = '0 0 1'
input = excav
[]
[]
[GlobalParams]
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
[../]
[./mc_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./mc_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
[../]
[./mc_shear_f]
order = CONSTANT
family = MONOMIAL
[../]
[./mc_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
[../]
[./mc_shear]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_internal_parameter
variable = mc_shear
[../]
[./mc_tensile]
type = MaterialStdVectorAux
index = 1
property = mc_plastic_internal_parameter
variable = mc_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
[../]
[./mc_shear_f]
type = MaterialStdVectorAux
index = 6
property = mc_plastic_yield_function
variable = mc_shear_f
[../]
[./mc_tensile_f]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_yield_function
variable = mc_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
[../]
[./roof]
type = StickyBC
variable = disp_z
min_value = -3.0
boundary = '18'
[../]
[]
[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 minval maxval slope'
symbol_values = '1.0 0 1500.0 1E-9 1 15'
# excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
# slope is the distance over which the modulus reduces from maxval to minval
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
[../]
[./density_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval'
symbol_values = '1.0 0 1500.0 0 2500'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
[../]
[]
[UserObjects]
[./mc_coh_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 2.99 # MPa
value_residual = 3.01 # MPa
rate = 1.0
[../]
[./mc_fric]
type = SolidMechanicsHardeningConstant
value = 0.65 # 37deg
[../]
[./mc_dil]
type = SolidMechanicsHardeningConstant
value = 0.15 # 8deg
[../]
[./mc_tensile_str_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.0 # MPa
rate = 1.0
[../]
[./mc_compressive_str]
type = SolidMechanicsHardeningCubic
value_0 = 100 # Large!
value_residual = 100
internal_limit = 0.1
[../]
[./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_0]
type = ComputeLayeredCosseratElasticityTensor
block = 0
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
[../]
[./elasticity_tensor_1]
type = ComputeLayeredCosseratElasticityTensor
block = 1
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
elasticity_tensor_prefactor = excav_sideways
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
eigenstrain_name = ini_stress
initial_stress = 'ini_xx 0 0 0 ini_xx 0 0 0 ini_zz'
[../]
[./stress_0]
type = ComputeMultipleInelasticCosseratStress
block = 0
inelastic_models = 'mc wp'
cycle_models = true
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[../]
[./stress_1]
# this is needed so as to correctly apply the initial stress
type = ComputeMultipleInelasticCosseratStress
block = 1
inelastic_models = ''
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[../]
[./mc]
type = CappedMohrCoulombCosseratStressUpdate
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = mc
tensile_strength = mc_tensile_str_strong_harden
compressive_strength = mc_compressive_str
cohesion = mc_coh_strong_harden
friction_angle = mc_fric
dilation_angle = mc_dil
max_NR_iterations = 100000
smoothing_tol = 0.1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-9 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0
[../]
[./wp]
type = CappedWeakPlaneCosseratStressUpdate
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_0]
type = GenericConstantMaterial
block = 0
prop_names = density
prop_values = 2500
[../]
[./density_1]
type = GenericFunctionMaterial
block = 1
prop_names = density
prop_values = density_sideways
[../]
[]
[Postprocessors]
[./subs]
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 = 100
start_time = 0.0
dt = 0.01 # 1 element per step
end_time = 1.0
[]
[Outputs]
file_base = cosserat_mc_wp_sticky_longitudinal
time_step_interval = 1
print_linear_residuals = false
exodus = true
csv = true
console = true
#[./console]
# type = Console
# output_linear = false
#[../]
[]
(modules/solid_mechanics/examples/coal_mining/coarse.i)
# Strata deformation and fracturing around a coal mine - 3D model
#
# A "half model" is used. The mine is 400m deep and
# just the roof is studied (-400<=z<=0). The mining panel
# sits between 0<=x<=150, and 0<=y<=1000, so this simulates
# a coal panel that is 300m wide and 1000m long. The outer boundaries
# are 1km from the excavation boundaries.
#
# 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 simulation are:
# - disp_x = 0 at x=0 and x=1150
# - disp_y = 0 at y=-1000 and y=1000
# - disp_z = 0 at z=-400, but there is a time-dependent
# Young's modulus that simulates excavation
# - wc_x = 0 at y=-1000 and y=1000
# - wc_y = 0 at x=0 and x=1150
# 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*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.
#
# 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
# MC cohesion = 3 MPa
# MC friction angle = 37 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
#
[Mesh]
[file]
type = FileMeshGenerator
file = mesh/coarse.e
[]
[./xmin]
input = file
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = xmin
normal = '-1 0 0'
[../]
[./xmax]
input = xmin
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = xmax
normal = '1 0 0'
[../]
[./ymin]
input = xmax
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = ymin
normal = '0 -1 0'
[../]
[./ymax]
input = ymin
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = ymax
normal = '0 1 0'
[../]
[./zmax]
input = ymax
type = SideSetsAroundSubdomainGenerator
block = 16
new_boundary = zmax
normal = '0 0 1'
[../]
[./zmin]
input = zmax
type = SideSetsAroundSubdomainGenerator
block = 2
new_boundary = zmin
normal = '0 0 -1'
[../]
[./excav]
type = SubdomainBoundingBoxGenerator
input = zmin
block_id = 1
bottom_left = '0 0 -400'
top_right = '150 1000 -397'
[../]
[./roof]
type = SideSetsAroundSubdomainGenerator
block = 1
input = excav
new_boundary = roof
normal = '0 0 1'
[../]
[]
[GlobalParams]
perform_finite_strain_rotations = false
displacements = 'disp_x disp_y disp_z'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[./wc_y]
[../]
[]
[Kernels]
[./cx_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_x
component = 0
[../]
[./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
[../]
[./y_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_y
component = 1
[../]
[./gravity]
type = Gravity
use_displaced_mesh = false
variable = disp_z
value = -10E-6 # remember this is in MPa
[../]
[]
[AuxVariables]
[./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
[../]
[./mc_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./mc_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
[../]
[./mc_shear_f]
order = CONSTANT
family = MONOMIAL
[../]
[./mc_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
[../]
[./mc_shear]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_internal_parameter
variable = mc_shear
[../]
[./mc_tensile]
type = MaterialStdVectorAux
index = 1
property = mc_plastic_internal_parameter
variable = mc_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
[../]
[./mc_shear_f]
type = MaterialStdVectorAux
index = 6
property = mc_plastic_yield_function
variable = mc_shear_f
[../]
[./mc_tensile_f]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_yield_function
variable = mc_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_x]
type = DirichletBC
variable = disp_x
boundary = 'xmin xmax'
value = 0.0
[../]
[./no_y]
type = DirichletBC
variable = disp_y
boundary = 'ymin ymax'
value = 0.0
[../]
[./no_z]
type = DirichletBC
variable = disp_z
boundary = zmin
value = 0.0
[../]
[./no_wc_x]
type = DirichletBC
variable = wc_x
boundary = 'ymin ymax'
value = 0.0
[../]
[./no_wc_y]
type = DirichletBC
variable = wc_y
boundary = 'xmin xmax'
value = 0.0
[../]
[./roof]
type = StickyBC
variable = disp_z
min_value = -3.0
boundary = roof
[../]
[]
[Functions]
[./ini_xx]
type = ParsedFunction
expression = '0.8*2500*10E-6*z'
[../]
[./ini_zz]
type = ParsedFunction
expression = '2500*10E-6*z'
[../]
[./excav_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval slope'
symbol_values = '17.0 0 1000.0 1E-9 1 60'
# excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
# slope is the distance over which the modulus reduces from maxval to minval
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
[../]
[./density_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval'
symbol_values = '17.0 0 1000.0 0 2500'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
[../]
[]
[UserObjects]
[./mc_coh_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 2.99 # MPa
value_residual = 3.01 # MPa
rate = 1.0
[../]
[./mc_fric]
type = SolidMechanicsHardeningConstant
value = 0.65 # 37deg
[../]
[./mc_dil]
type = SolidMechanicsHardeningConstant
value = 0.15 # 8deg
[../]
[./mc_tensile_str_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.0 # MPa
rate = 1.0
[../]
[./mc_compressive_str]
type = SolidMechanicsHardeningCubic
value_0 = 100 # Large!
value_residual = 100
internal_limit = 0.1
[../]
[./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
internal_limit = 1.0
[../]
[]
[Materials]
[./elasticity_tensor_0]
type = ComputeLayeredCosseratElasticityTensor
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
[../]
[./elasticity_tensor_1]
type = ComputeLayeredCosseratElasticityTensor
block = 1
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
elasticity_tensor_prefactor = excav_sideways
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
eigenstrain_name = ini_stress
initial_stress = 'ini_xx 0 0 0 ini_xx 0 0 0 ini_zz'
[../]
[./stress_0]
type = ComputeMultipleInelasticCosseratStress
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
inelastic_models = 'mc wp'
cycle_models = true
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[../]
[./stress_1]
type = ComputeMultipleInelasticCosseratStress
block = 1
inelastic_models = ''
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[../]
[./mc]
type = CappedMohrCoulombCosseratStressUpdate
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = mc
tensile_strength = mc_tensile_str_strong_harden
compressive_strength = mc_compressive_str
cohesion = mc_coh_strong_harden
friction_angle = mc_fric
dilation_angle = mc_dil
max_NR_iterations = 100000
smoothing_tol = 0.1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-9 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0
[../]
[./wp]
type = CappedWeakPlaneCosseratStressUpdate
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_0]
type = GenericConstantMaterial
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
prop_names = density
prop_values = 2500
[../]
[./density_1]
type = GenericFunctionMaterial
block = 1
prop_names = density
prop_values = density_sideways
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[]
[]
[Postprocessors]
[./min_roof_disp]
type = NodalExtremeValue
boundary = roof
value_type = min
variable = disp_z
[../]
[./min_surface_disp]
type = NodalExtremeValue
boundary = zmax
value_type = min
variable = disp_z
[../]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason'
petsc_options_iname = '-pc_type -ksp_type -ksp_gmres_restart'
petsc_options_value = ' bjacobi 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 = 0.5 # this gives min(disp_z)=-4.3, use dt=0.0625 if you want to restrict disp_z>=-3.2
end_time = 17.0
[]
[Outputs]
time_step_interval = 1
print_linear_residuals = false
exodus = true
csv = true
console = true
[]
(modules/solid_mechanics/examples/coal_mining/cosserat_mc_wp.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.
#
# 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
# MC cohesion = 3 MPa
# MC friction angle = 37 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa, varying down to 1 MPa when tensile strain = 1
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
#
[Mesh]
[generated_mesh]
type = GeneratedMeshGenerator
dim = 3
nx = 1
xmin = -5
xmax = 5
nz = 40
zmin = 0
zmax = 400.0
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
[../]
[./mc_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./mc_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
[../]
[./mc_shear_f]
order = CONSTANT
family = MONOMIAL
[../]
[./mc_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
[../]
[./mc_shear]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_internal_parameter
variable = mc_shear
[../]
[./mc_tensile]
type = MaterialStdVectorAux
index = 1
property = mc_plastic_internal_parameter
variable = mc_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
[../]
[./mc_shear_f]
type = MaterialStdVectorAux
index = 6
property = mc_plastic_yield_function
variable = mc_shear_f
[../]
[./mc_tensile_f]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_yield_function
variable = mc_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((min(t/end_t,1)*(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*min(t/end_t,1)*max(min(((ymax-ymin)+ymin-y)/closure_dist,1),0)'
[../]
[]
[UserObjects]
[./mc_coh_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 2.99 # MPa
value_residual = 3.01 # MPa
rate = 1.0
[../]
[./mc_fric]
type = SolidMechanicsHardeningConstant
value = 0.65 # 37deg
[../]
[./mc_dil]
type = SolidMechanicsHardeningConstant
value = 0.15 # 8deg
[../]
[./mc_tensile_str_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.0 # MPa
rate = 1.0
[../]
[./mc_compressive_str]
type = SolidMechanicsHardeningCubic
value_0 = 100 # Large!
value_residual = 100
internal_limit = 0.1
[../]
[./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
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 = 'mc wp'
cycle_models = true
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[../]
[./mc]
type = CappedMohrCoulombCosseratStressUpdate
block = 0
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = mc
tensile_strength = mc_tensile_str_strong_harden
compressive_strength = mc_compressive_str
cohesion = mc_coh_strong_harden
friction_angle = mc_fric
dilation_angle = mc_dil
max_NR_iterations = 10000
smoothing_tol = 0.1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-9 # 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 = 1.0
[../]
[./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_mc_wp
time_step_interval = 1
print_linear_residuals = false
csv = true
exodus = true
[./console]
type = Console
output_linear = false
[../]
[]
(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat3.i)
# Plastic deformation. Layered Cosserat with parameters:
# Young = 10.0
# Poisson = 0.25
# layer_thickness = 10
# joint_normal_stiffness = 2.5
# joint_shear_stiffness = 2.0
# These give the following nonzero components of the elasticity tensor:
# E_0000 = E_1111 = 1.156756756757E+01
# E_0011 = E_1100 = 3.855855855856E+00
# E_2222 = E_pp = 8.108108108108E+00
# E_0022 = E_1122 = E_2200 = E_2211 = 2.702702702703E+00
# G = E_0101 = E_0110 = E_1001 = E_1010 = 4
# Gt = E_qq = E_0202 = E_0220 = E_2002 = E_1212 = E_1221 = E_2112 = 3.333333333333E+00
# E_2020 = E_2121 = 3.666666666667E+00
# They give the following nonzero components of the bending rigidity tensor:
# D = 8.888888888889E+02
# B_0101 = B_1010 = 8.080808080808E+00
# B_0110 = B_1001 = -2.020202020202E+00
#
# Applying the following deformation to the zmax surface of a unit cube:
# disp_x = 32*t/Gt
# disp_y = 24*t/Gt
# disp_z = 10*t/E_2222
# omega_x = omega_y = omega_z = 0
# yields the following strains:
# strain_xz = 32*t/Gt = 9.6*t
# strain_yz = 24*t/Gt = 7.2*t
# strain_zz = 10*t/E_2222 = 1.23333333*t
# and all other components, and the curvature, are zero.
# The nonzero components of stress are therefore:
# stress_xx = stress_yy = 3.33333*t
# stress_xz = stress_zx = 32*t
# stress_yz = stress_zy = 24*t
# stress_zz = 10*t
# The moment stress is zero.
# So q = 40*t and p = 10*t
#
# Use tan(friction_angle) = 0.5 and tan(dilation_angle) = E_qq/Epp/2, and cohesion=20,
# the system should return to p=0, q=20, ie stress_zz=0, stress_xz=16,
# stress_yz=12 on the first time step (t=1)
# and
# stress_xx = stress_yy = 0
# and
# stress_zx = 32, and stress_zy = 24.
# Although this has resulted in a non-symmetric stress tensor, the
# moments generated are cancelled by the boundary conditions on
# omega_x and omega_y. (Removing these boundary conditions results
# in a symmetric stress tensor, and some omega!=0 being generated.)
# No moment stresses are generated because omega=0=curvature.
#
# The total strains are given above (strain_xz = 9.6,
# strain_yz = 7.2 and strain_zz = 1.23333).
# Since q returned from 40 to 20, plastic_strain_xz = strain_xz/2 = 4.8
# and plastic_strain_yz = strain_yz/2 = 3.6.
# Since p returned to zero, all of the total strain_zz is
# plastic, ie plastic_strain_zz = 1.23333
[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'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[./wc_y]
[../]
[]
[Kernels]
[./cx_elastic]
type = CosseratStressDivergenceTensors
variable = disp_x
component = 0
[../]
[./cy_elastic]
type = CosseratStressDivergenceTensors
variable = disp_y
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
variable = disp_z
component = 2
[../]
[./x_couple]
type = StressDivergenceTensors
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[../]
[./y_couple]
type = StressDivergenceTensors
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[]
[BCs]
[./bottomx]
type = DirichletBC
variable = disp_x
boundary = back
value = 0.0
[../]
[./bottomy]
type = DirichletBC
variable = disp_y
boundary = back
value = 0.0
[../]
[./bottomz]
type = DirichletBC
variable = disp_z
boundary = back
value = 0.0
[../]
[./bottom_wc_x]
type = DirichletBC
variable = wc_x
boundary = back
value = 0.0
[../]
[./bottom_wc_y]
type = DirichletBC
variable = wc_y
boundary = back
value = 0.0
[../]
[./topx]
type = FunctionDirichletBC
variable = disp_x
boundary = front
function = 32*t/3.333333333333E+00
[../]
[./topy]
type = FunctionDirichletBC
variable = disp_y
boundary = front
function = 24*t/3.333333333333E+00
[../]
[./topz]
type = FunctionDirichletBC
variable = disp_z
boundary = front
function = 10*t/8.108108108108E+00
[../]
[./top_wc_x]
type = DirichletBC
variable = wc_x
boundary = front
value = 0.0
[../]
[./top_wc_y]
type = DirichletBC
variable = wc_y
boundary = front
value = 0.0
[../]
[]
[AuxVariables]
[./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
[../]
[./couple_stress_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_xz]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_yx]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_yz]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_zx]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_zy]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_zz]
family = MONOMIAL
order = CONSTANT
[../]
[./strainp_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_yx]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_zy]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_yx]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_zy]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./f_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./f_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./f_compressive]
order = CONSTANT
family = MONOMIAL
[../]
[./intnl_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./intnl_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[./ls]
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
[../]
[./couple_stress_xx]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_xx
index_i = 0
index_j = 0
[../]
[./couple_stress_xy]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_xy
index_i = 0
index_j = 1
[../]
[./couple_stress_xz]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_xz
index_i = 0
index_j = 2
[../]
[./couple_stress_yx]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_yx
index_i = 1
index_j = 0
[../]
[./couple_stress_yy]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_yy
index_i = 1
index_j = 1
[../]
[./couple_stress_yz]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_yz
index_i = 1
index_j = 2
[../]
[./couple_stress_zx]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_zx
index_i = 2
index_j = 0
[../]
[./couple_stress_zy]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_zy
index_i = 2
index_j = 1
[../]
[./couple_stress_zz]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_zz
index_i = 2
index_j = 2
[../]
[./strainp_xx]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_xx
index_i = 0
index_j = 0
[../]
[./strainp_xy]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_xy
index_i = 0
index_j = 1
[../]
[./strainp_xz]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_xz
index_i = 0
index_j = 2
[../]
[./strainp_yx]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_yx
index_i = 1
index_j = 0
[../]
[./strainp_yy]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_yy
index_i = 1
index_j = 1
[../]
[./strainp_yz]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_yz
index_i = 1
index_j = 2
[../]
[./strainp_zx]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_zx
index_i = 2
index_j = 0
[../]
[./strainp_zy]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_zy
index_i = 2
index_j = 1
[../]
[./strainp_zz]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_zz
index_i = 2
index_j = 2
[../]
[./straint_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_xx
index_i = 0
index_j = 0
[../]
[./straint_xy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_xy
index_i = 0
index_j = 1
[../]
[./straint_xz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_xz
index_i = 0
index_j = 2
[../]
[./straint_yx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_yx
index_i = 1
index_j = 0
[../]
[./straint_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_yy
index_i = 1
index_j = 1
[../]
[./straint_yz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_yz
index_i = 1
index_j = 2
[../]
[./straint_zx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_zx
index_i = 2
index_j = 0
[../]
[./straint_zy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_zy
index_i = 2
index_j = 1
[../]
[./straint_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_zz
index_i = 2
index_j = 2
[../]
[./f_shear]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = f_shear
[../]
[./f_tensile]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 1
variable = f_tensile
[../]
[./f_compressive]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 2
variable = f_compressive
[../]
[./intnl_shear]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 0
variable = intnl_shear
[../]
[./intnl_tensile]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 1
variable = intnl_tensile
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[./ls]
type = MaterialRealAux
property = plastic_linesearch_needed
variable = ls
[../]
[]
[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_yx]
type = PointValue
point = '0 0 0'
variable = stress_yx
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zx]
type = PointValue
point = '0 0 0'
variable = stress_zx
[../]
[./s_zy]
type = PointValue
point = '0 0 0'
variable = stress_zy
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./c_s_xx]
type = PointValue
point = '0 0 0'
variable = couple_stress_xx
[../]
[./c_s_xy]
type = PointValue
point = '0 0 0'
variable = couple_stress_xy
[../]
[./c_s_xz]
type = PointValue
point = '0 0 0'
variable = couple_stress_xz
[../]
[./c_s_yx]
type = PointValue
point = '0 0 0'
variable = couple_stress_yx
[../]
[./c_s_yy]
type = PointValue
point = '0 0 0'
variable = couple_stress_yy
[../]
[./c_s_yz]
type = PointValue
point = '0 0 0'
variable = couple_stress_yz
[../]
[./c_s_zx]
type = PointValue
point = '0 0 0'
variable = couple_stress_zx
[../]
[./c_s_zy]
type = PointValue
point = '0 0 0'
variable = couple_stress_zy
[../]
[./c_s_zz]
type = PointValue
point = '0 0 0'
variable = couple_stress_zz
[../]
[./strainp_xx]
type = PointValue
point = '0 0 0'
variable = strainp_xx
[../]
[./strainp_xy]
type = PointValue
point = '0 0 0'
variable = strainp_xy
[../]
[./strainp_xz]
type = PointValue
point = '0 0 0'
variable = strainp_xz
[../]
[./strainp_yx]
type = PointValue
point = '0 0 0'
variable = strainp_yx
[../]
[./strainp_yy]
type = PointValue
point = '0 0 0'
variable = strainp_yy
[../]
[./strainp_yz]
type = PointValue
point = '0 0 0'
variable = strainp_yz
[../]
[./strainp_zx]
type = PointValue
point = '0 0 0'
variable = strainp_zx
[../]
[./strainp_zy]
type = PointValue
point = '0 0 0'
variable = strainp_zy
[../]
[./strainp_zz]
type = PointValue
point = '0 0 0'
variable = strainp_zz
[../]
[./straint_xx]
type = PointValue
point = '0 0 0'
variable = straint_xx
[../]
[./straint_xy]
type = PointValue
point = '0 0 0'
variable = straint_xy
[../]
[./straint_xz]
type = PointValue
point = '0 0 0'
variable = straint_xz
[../]
[./straint_yx]
type = PointValue
point = '0 0 0'
variable = straint_yx
[../]
[./straint_yy]
type = PointValue
point = '0 0 0'
variable = straint_yy
[../]
[./straint_yz]
type = PointValue
point = '0 0 0'
variable = straint_yz
[../]
[./straint_zx]
type = PointValue
point = '0 0 0'
variable = straint_zx
[../]
[./straint_zy]
type = PointValue
point = '0 0 0'
variable = straint_zy
[../]
[./straint_zz]
type = PointValue
point = '0 0 0'
variable = straint_zz
[../]
[./f_shear]
type = PointValue
point = '0 0 0'
variable = f_shear
[../]
[./f_tensile]
type = PointValue
point = '0 0 0'
variable = f_tensile
[../]
[./f_compressive]
type = PointValue
point = '0 0 0'
variable = f_compressive
[../]
[./intnl_shear]
type = PointValue
point = '0 0 0'
variable = intnl_shear
[../]
[./intnl_tensile]
type = PointValue
point = '0 0 0'
variable = intnl_tensile
[../]
[./iter]
type = PointValue
point = '0 0 0'
variable = iter
[../]
[./ls]
type = PointValue
point = '0 0 0'
variable = ls
[../]
[]
[UserObjects]
[./coh]
type = SolidMechanicsHardeningConstant
value = 20
[../]
[./tanphi]
type = SolidMechanicsHardeningConstant
value = 0.5
[../]
[./tanpsi]
type = SolidMechanicsHardeningConstant
value = 2.055555555556E-01
[../]
[./t_strength]
type = SolidMechanicsHardeningConstant
value = 100
[../]
[./c_strength]
type = SolidMechanicsHardeningConstant
value = 100
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 10.0
poisson = 0.25
layer_thickness = 10.0
joint_normal_stiffness = 2.5
joint_shear_stiffness = 2.0
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
[../]
[./admissible]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = stress
perform_finite_strain_rotations = false
[../]
[./stress]
type = CappedWeakPlaneCosseratStressUpdate
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
tensile_strength = t_strength
compressive_strength = c_strength
tip_smoother = 0
smoothing_tol = 0
yield_function_tol = 1E-5
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform_cosserat3
csv = true
[]
(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat4.i)
# Plastic deformation. Layered Cosserat with parameters:
# Young = 10.0
# Poisson = 0.25
# layer_thickness = 10
# joint_normal_stiffness = 2.5
# joint_shear_stiffness = 2.0
# These give the following nonzero components of the elasticity tensor:
# E_0000 = E_1111 = 1.156756756757E+01
# E_0011 = E_1100 = 3.855855855856E+00
# E_2222 = E_pp = 8.108108108108E+00
# E_0022 = E_1122 = E_2200 = E_2211 = 2.702702702703E+00
# G = E_0101 = E_0110 = E_1001 = E_1010 = 4
# Gt = E_qq = E_0202 = E_0220 = E_2002 = E_1212 = E_1221 = E_2112 = 3.333333333333E+00
# E_2020 = E_2121 = 3.666666666667E+00
# They give the following nonzero components of the bending rigidity tensor:
# D = 8.888888888889E+02
# B_0101 = B_1010 = 8.080808080808E+00
# B_0110 = B_1001 = -2.020202020202E+00
#
# Applying the following deformation to the zmax surface of a unit cube:
# disp_x = 32*t/Gt
# disp_y = 24*t/Gt
# disp_z = 10*t/E_2222
# but leaving wc_x and wc_y unfixed
# yields the following strains:
# strain_xz = 32*t/Gt - wc_y = 9.6*t - wc_y
# strain_zx = wc_y
# strain_yz = 24*t/Gt + wc_x = 7.2*t + wc_x
# strain_zy = - wc_x
# strain_zz = 10*t/E_2222 = 1.23333333*t
# and all other components, and the curvature, are zero (assuming
# wc is uniform over the cube).
#
# When wc=0, the nonzero components of stress are therefore:
# stress_xx = stress_yy = 3.33333*t
# stress_xz = stress_zx = 32*t
# stress_yz = stress_zy = 24*t
# stress_zz = 10*t
# The moment stress is zero.
# So q = 40*t and p = 10*t
#
# Use tan(friction_angle) = 0.5 and tan(dilation_angle) = E_qq/Epp/2, and cohesion=20,
# the system should return to p=0, q=20, ie stress_zz=0, stress_xz=16,
# stress_yz=12 on the first time step (t=1)
# and
# stress_xx = stress_yy = 0
# and
# stress_zx = 32, and stress_zy = 24.
# This has resulted in a non-symmetric stress tensor, and there is
# zero moment stress, so the system is not in equilibrium. A
# nonzero wc must therefore be generated.
#
# The obvious choice of wc is such that stress_zx = 16 and
# stress_zy = 12, because then the final returned stress will
# be symmetric. This gives
# wc_y = - 48
# wc_x = 36
# At t=1, the nonzero components of stress are
# stress_xx = stress_yy = 3.33333
# stress_xz = 32, stress_zx = 16
# stress_yz = 24, stress_zy = 12
# stress_zz = 10*t
# The moment stress is zero.
#
# The returned stress is
# stress_xx = stress_yy = 0
# stress_xz = stress_zx = 16
# stress_yz = stress_zy = 12
# stress_zz = 0
# The total strains are given above.
# Since q returned from 40 to 20, plastic_strain_xz = 9.6/2 = 4.8
# and plastic_strain_yz = 7.2/2 = 3.6.
# Since p returned to zero, all of the total strain_zz is
# plastic, ie plastic_strain_zz = 1.23333
[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'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[./wc_y]
[../]
[]
[Kernels]
[./cx_elastic]
type = CosseratStressDivergenceTensors
variable = disp_x
component = 0
[../]
[./cy_elastic]
type = CosseratStressDivergenceTensors
variable = disp_y
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
variable = disp_z
component = 2
[../]
[./x_couple]
type = StressDivergenceTensors
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[../]
[./y_couple]
type = StressDivergenceTensors
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[]
[BCs]
[./bottomx]
type = DirichletBC
variable = disp_x
boundary = back
value = 0.0
[../]
[./bottomy]
type = DirichletBC
variable = disp_y
boundary = back
value = 0.0
[../]
[./bottomz]
type = DirichletBC
variable = disp_z
boundary = back
value = 0.0
[../]
[./topx]
type = FunctionDirichletBC
variable = disp_x
boundary = front
function = 32*t/3.333333333333E+00
[../]
[./topy]
type = FunctionDirichletBC
variable = disp_y
boundary = front
function = 24*t/3.333333333333E+00
[../]
[./topz]
type = FunctionDirichletBC
variable = disp_z
boundary = front
function = 10*t/8.108108108108E+00
[../]
[]
[AuxVariables]
[./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
[../]
[./couple_stress_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_xz]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_yx]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_yz]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_zx]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_zy]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_zz]
family = MONOMIAL
order = CONSTANT
[../]
[./strainp_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_yx]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_zy]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_yx]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_zy]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./f_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./f_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./f_compressive]
order = CONSTANT
family = MONOMIAL
[../]
[./intnl_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./intnl_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[./ls]
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
[../]
[./couple_stress_xx]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_xx
index_i = 0
index_j = 0
[../]
[./couple_stress_xy]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_xy
index_i = 0
index_j = 1
[../]
[./couple_stress_xz]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_xz
index_i = 0
index_j = 2
[../]
[./couple_stress_yx]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_yx
index_i = 1
index_j = 0
[../]
[./couple_stress_yy]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_yy
index_i = 1
index_j = 1
[../]
[./couple_stress_yz]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_yz
index_i = 1
index_j = 2
[../]
[./couple_stress_zx]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_zx
index_i = 2
index_j = 0
[../]
[./couple_stress_zy]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_zy
index_i = 2
index_j = 1
[../]
[./couple_stress_zz]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_zz
index_i = 2
index_j = 2
[../]
[./strainp_xx]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_xx
index_i = 0
index_j = 0
[../]
[./strainp_xy]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_xy
index_i = 0
index_j = 1
[../]
[./strainp_xz]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_xz
index_i = 0
index_j = 2
[../]
[./strainp_yx]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_yx
index_i = 1
index_j = 0
[../]
[./strainp_yy]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_yy
index_i = 1
index_j = 1
[../]
[./strainp_yz]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_yz
index_i = 1
index_j = 2
[../]
[./strainp_zx]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_zx
index_i = 2
index_j = 0
[../]
[./strainp_zy]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_zy
index_i = 2
index_j = 1
[../]
[./strainp_zz]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_zz
index_i = 2
index_j = 2
[../]
[./straint_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_xx
index_i = 0
index_j = 0
[../]
[./straint_xy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_xy
index_i = 0
index_j = 1
[../]
[./straint_xz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_xz
index_i = 0
index_j = 2
[../]
[./straint_yx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_yx
index_i = 1
index_j = 0
[../]
[./straint_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_yy
index_i = 1
index_j = 1
[../]
[./straint_yz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_yz
index_i = 1
index_j = 2
[../]
[./straint_zx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_zx
index_i = 2
index_j = 0
[../]
[./straint_zy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_zy
index_i = 2
index_j = 1
[../]
[./straint_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_zz
index_i = 2
index_j = 2
[../]
[./f_shear]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = f_shear
[../]
[./f_tensile]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 1
variable = f_tensile
[../]
[./f_compressive]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 2
variable = f_compressive
[../]
[./intnl_shear]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 0
variable = intnl_shear
[../]
[./intnl_tensile]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 1
variable = intnl_tensile
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[./ls]
type = MaterialRealAux
property = plastic_linesearch_needed
variable = ls
[../]
[]
[Postprocessors]
[./wc_x]
type = PointValue
point = '0 0 0'
variable = wc_x
[../]
[./wc_y]
type = PointValue
point = '0 0 0'
variable = wc_y
[../]
[./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_yx]
type = PointValue
point = '0 0 0'
variable = stress_yx
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zx]
type = PointValue
point = '0 0 0'
variable = stress_zx
[../]
[./s_zy]
type = PointValue
point = '0 0 0'
variable = stress_zy
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./c_s_xx]
type = PointValue
point = '0 0 0'
variable = couple_stress_xx
[../]
[./c_s_xy]
type = PointValue
point = '0 0 0'
variable = couple_stress_xy
[../]
[./c_s_xz]
type = PointValue
point = '0 0 0'
variable = couple_stress_xz
[../]
[./c_s_yx]
type = PointValue
point = '0 0 0'
variable = couple_stress_yx
[../]
[./c_s_yy]
type = PointValue
point = '0 0 0'
variable = couple_stress_yy
[../]
[./c_s_yz]
type = PointValue
point = '0 0 0'
variable = couple_stress_yz
[../]
[./c_s_zx]
type = PointValue
point = '0 0 0'
variable = couple_stress_zx
[../]
[./c_s_zy]
type = PointValue
point = '0 0 0'
variable = couple_stress_zy
[../]
[./c_s_zz]
type = PointValue
point = '0 0 0'
variable = couple_stress_zz
[../]
[./strainp_xx]
type = PointValue
point = '0 0 0'
variable = strainp_xx
[../]
[./strainp_xy]
type = PointValue
point = '0 0 0'
variable = strainp_xy
[../]
[./strainp_xz]
type = PointValue
point = '0 0 0'
variable = strainp_xz
[../]
[./strainp_yx]
type = PointValue
point = '0 0 0'
variable = strainp_yx
[../]
[./strainp_yy]
type = PointValue
point = '0 0 0'
variable = strainp_yy
[../]
[./strainp_yz]
type = PointValue
point = '0 0 0'
variable = strainp_yz
[../]
[./strainp_zx]
type = PointValue
point = '0 0 0'
variable = strainp_zx
[../]
[./strainp_zy]
type = PointValue
point = '0 0 0'
variable = strainp_zy
[../]
[./strainp_zz]
type = PointValue
point = '0 0 0'
variable = strainp_zz
[../]
[./straint_xx]
type = PointValue
point = '0 0 0'
variable = straint_xx
[../]
[./straint_xy]
type = PointValue
point = '0 0 0'
variable = straint_xy
[../]
[./straint_xz]
type = PointValue
point = '0 0 0'
variable = straint_xz
[../]
[./straint_yx]
type = PointValue
point = '0 0 0'
variable = straint_yx
[../]
[./straint_yy]
type = PointValue
point = '0 0 0'
variable = straint_yy
[../]
[./straint_yz]
type = PointValue
point = '0 0 0'
variable = straint_yz
[../]
[./straint_zx]
type = PointValue
point = '0 0 0'
variable = straint_zx
[../]
[./straint_zy]
type = PointValue
point = '0 0 0'
variable = straint_zy
[../]
[./straint_zz]
type = PointValue
point = '0 0 0'
variable = straint_zz
[../]
[./f_shear]
type = PointValue
point = '0 0 0'
variable = f_shear
[../]
[./f_tensile]
type = PointValue
point = '0 0 0'
variable = f_tensile
[../]
[./f_compressive]
type = PointValue
point = '0 0 0'
variable = f_compressive
[../]
[./intnl_shear]
type = PointValue
point = '0 0 0'
variable = intnl_shear
[../]
[./intnl_tensile]
type = PointValue
point = '0 0 0'
variable = intnl_tensile
[../]
[./iter]
type = PointValue
point = '0 0 0'
variable = iter
[../]
[./ls]
type = PointValue
point = '0 0 0'
variable = ls
[../]
[]
[UserObjects]
[./coh]
type = SolidMechanicsHardeningConstant
value = 20
[../]
[./tanphi]
type = SolidMechanicsHardeningConstant
value = 0.5
[../]
[./tanpsi]
type = SolidMechanicsHardeningConstant
value = 2.055555555556E-01
[../]
[./t_strength]
type = SolidMechanicsHardeningConstant
value = 100
[../]
[./c_strength]
type = SolidMechanicsHardeningConstant
value = 100
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 10.0
poisson = 0.25
layer_thickness = 10.0
joint_normal_stiffness = 2.5
joint_shear_stiffness = 2.0
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
[../]
[./admissible]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = stress
perform_finite_strain_rotations = false
[../]
[./stress]
type = CappedWeakPlaneCosseratStressUpdate
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
tensile_strength = t_strength
compressive_strength = c_strength
tip_smoother = 0
smoothing_tol = 0
yield_function_tol = 1E-5
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
[../]
[]
[Executioner]
solve_type = 'NEWTON'
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform_cosserat4
csv = true
[]
(modules/solid_mechanics/examples/coal_mining/cosserat_mc_wp_sticky.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 at z=0, but there is a time-dependent
# Young's modulus that simulates excavation
# - 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.
#
# 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
# MC cohesion = 3 MPa
# MC friction angle = 37 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa, varying down to 1 MPa when tensile strain = 1
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
#
[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
block = 0
new_boundary = 11
normal = '0 -1 0'
input = generated_mesh
[]
[right]
type = SideSetsAroundSubdomainGenerator
block = 0
new_boundary = 12
normal = '0 1 0'
input = left
[]
[front]
type = SideSetsAroundSubdomainGenerator
block = 0
new_boundary = 13
normal = '-1 0 0'
input = right
[]
[back]
type = SideSetsAroundSubdomainGenerator
block = 0
new_boundary = 14
normal = '1 0 0'
input = front
[]
[top]
type = SideSetsAroundSubdomainGenerator
block = 0
new_boundary = 15
normal = '0 0 1'
input = back
[]
[bottom]
type = SideSetsAroundSubdomainGenerator
block = 0
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 = SideSetsAroundSubdomainGenerator
block = 1
new_boundary = 18
normal = '0 0 1'
input = excav
[]
[]
[GlobalParams]
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
[../]
[./mc_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./mc_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
[../]
[./mc_shear_f]
order = CONSTANT
family = MONOMIAL
[../]
[./mc_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
[../]
[./mc_shear]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_internal_parameter
variable = mc_shear
[../]
[./mc_tensile]
type = MaterialStdVectorAux
index = 1
property = mc_plastic_internal_parameter
variable = mc_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
[../]
[./mc_shear_f]
type = MaterialStdVectorAux
index = 6
property = mc_plastic_yield_function
variable = mc_shear_f
[../]
[./mc_tensile_f]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_yield_function
variable = mc_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
[../]
[./roof]
type = StickyBC
variable = disp_z
min_value = -3.0
boundary = '18'
[../]
[]
[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)'
[../]
[./excav_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval slope'
symbol_values = '1.0 0 150.0 1E-9 1 15'
# excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
# slope is the distance over which the modulus reduces from maxval to minval
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
[../]
[./density_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval'
symbol_values = '1.0 0 150.0 0 2500'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
[../]
[]
[UserObjects]
[./mc_coh_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 2.99 # MPa
value_residual = 3.01 # MPa
rate = 1.0
[../]
[./mc_fric]
type = SolidMechanicsHardeningConstant
value = 0.65 # 37deg
[../]
[./mc_dil]
type = SolidMechanicsHardeningConstant
value = 0.15 # 8deg
[../]
[./mc_tensile_str_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.0 # MPa
rate = 1.0
[../]
[./mc_compressive_str]
type = SolidMechanicsHardeningCubic
value_0 = 100 # Large!
value_residual = 100
internal_limit = 0.1
[../]
[./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
internal_limit = 1.0
[../]
[]
[Materials]
[./elasticity_tensor_0]
type = ComputeLayeredCosseratElasticityTensor
block = 0
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
[../]
[./elasticity_tensor_1]
type = ComputeLayeredCosseratElasticityTensor
block = 1
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
elasticity_tensor_prefactor = excav_sideways
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
eigenstrain_name = ini_stress
initial_stress = 'ini_xx 0 0 0 ini_xx 0 0 0 ini_zz'
[../]
[./stress_0]
# this is needed so as to correctly apply the initial stress
type = ComputeMultipleInelasticCosseratStress
block = 0
inelastic_models = 'mc wp'
cycle_models = true
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[../]
[./stress_1]
type = ComputeMultipleInelasticCosseratStress
block = 1
inelastic_models = ''
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[../]
[./mc]
type = CappedMohrCoulombCosseratStressUpdate
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = mc
tensile_strength = mc_tensile_str_strong_harden
compressive_strength = mc_compressive_str
cohesion = mc_coh_strong_harden
friction_angle = mc_fric
dilation_angle = mc_dil
max_NR_iterations = 100000
smoothing_tol = 0.1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-9 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0
[../]
[./wp]
type = CappedWeakPlaneCosseratStressUpdate
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_0]
type = GenericConstantMaterial
block = 0
prop_names = density
prop_values = 2500
[../]
[./density_1]
type = GenericFunctionMaterial
block = 1
prop_names = density
prop_values = density_sideways
[../]
[]
[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 = '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-8
nl_rel_tol = 1e-8
l_max_its = 30
nl_max_its = 1000
start_time = 0.0
dt = 0.01
end_time = 1.0
[]
[Outputs]
file_base = cosserat_mc_wp_sticky
time_step_interval = 1
print_linear_residuals = false
exodus = true
csv = true
console = true
[]
(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat2.i)
# Plastic deformation. Layered Cosserat with parameters:
# Young = 1.0
# Poisson = 0.2
# layer_thickness = 0.1
# joint_normal_stiffness = 0.25
# joint_shear_stiffness = 0.2
# These give the following nonzero components of the elasticity tensor:
# E_0000 = E_1111 = 1.043195
# E_0011 = E_1100 = 0.260799
# E_2222 = 0.02445
# E_0022 = E_1122 = E_2200 = E_2211 = 0.006112
# G = E_0101 = E_0110 = E_1001 = E_1010 = 0.416667
# Gt = E_0202 = E_0220 = E_2002 = E_1212 = E_1221 = E_2112 = 0.019084
# E_2020 = E_2121 = 0.217875
# They give the following nonzero components of the bending rigidity tensor:
# D = 8.68056E-5
# B_0101 = B_1010 = 7.92021E-4
# B_0110 = B_1001 = -1.584E-4
#
# Applying the following deformation to the zmax surface of a unit cube:
# disp_x = 8*t
# disp_y = 6*t
# disp_z = -t
# omega_x = omega_y = omega_z = 0
# yields the following strains:
# strain_xz = 8*t
# strain_yz = 6*t
# strain_zz = -t
# and all other components, and the curvature, are zero.
# The nonzero components of stress are therefore:
# stress_xx = stress_yy = -0.006112*t
# stress_xz = stress_zx = 0.152671*t
# stress_yz = stress_zy = 0.114504*t
# stress_zz = -0.0244499*t
# The moment stress is zero.
# So q = 0.19084*t and p = -0.0244*t.
#
# With large cohesion, but compressive strength = 0.0244499, the
# system is elastic up to t=1. After that time
# stress_zz = -0.0244499 (for t>=1)
# and
# stress_xx = stress_yy = -0.006112 (for t>=1), since the
# elastic trial increment is exactly canelled by the Poisson's
# contribution from the return to the yield surface.
# The plastic strains are zero for t<=1, but for larger times:
# plastic_strain_zz = - (t - 1) (for t>=1)
[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'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[./wc_y]
[../]
[]
[Kernels]
[./cx_elastic]
type = CosseratStressDivergenceTensors
variable = disp_x
component = 0
[../]
[./cy_elastic]
type = CosseratStressDivergenceTensors
variable = disp_y
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
variable = disp_z
component = 2
[../]
[./x_couple]
type = StressDivergenceTensors
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[../]
[./y_couple]
type = StressDivergenceTensors
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[]
[BCs]
[./bottomx]
type = DirichletBC
variable = disp_x
boundary = back
value = 0.0
[../]
[./bottomy]
type = DirichletBC
variable = disp_y
boundary = back
value = 0.0
[../]
[./bottomz]
type = DirichletBC
variable = disp_z
boundary = back
value = 0.0
[../]
[./topx]
type = FunctionDirichletBC
variable = disp_x
boundary = front
function = 8*t
[../]
[./topy]
type = FunctionDirichletBC
variable = disp_y
boundary = front
function = 6*t
[../]
[./topz]
type = FunctionDirichletBC
variable = disp_z
boundary = front
function = -t
[../]
[]
[AuxVariables]
[./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
[../]
[./couple_stress_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_xz]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_yx]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_yz]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_zx]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_zy]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_zz]
family = MONOMIAL
order = CONSTANT
[../]
[./strainp_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_yx]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_zy]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_yx]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_zy]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./f_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./f_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./f_compressive]
order = CONSTANT
family = MONOMIAL
[../]
[./intnl_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./intnl_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[./ls]
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
[../]
[./couple_stress_xx]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_xx
index_i = 0
index_j = 0
[../]
[./couple_stress_xy]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_xy
index_i = 0
index_j = 1
[../]
[./couple_stress_xz]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_xz
index_i = 0
index_j = 2
[../]
[./couple_stress_yx]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_yx
index_i = 1
index_j = 0
[../]
[./couple_stress_yy]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_yy
index_i = 1
index_j = 1
[../]
[./couple_stress_yz]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_yz
index_i = 1
index_j = 2
[../]
[./couple_stress_zx]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_zx
index_i = 2
index_j = 0
[../]
[./couple_stress_zy]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_zy
index_i = 2
index_j = 1
[../]
[./couple_stress_zz]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_zz
index_i = 2
index_j = 2
[../]
[./strainp_xx]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_xx
index_i = 0
index_j = 0
[../]
[./strainp_xy]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_xy
index_i = 0
index_j = 1
[../]
[./strainp_xz]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_xz
index_i = 0
index_j = 2
[../]
[./strainp_yx]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_yx
index_i = 1
index_j = 0
[../]
[./strainp_yy]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_yy
index_i = 1
index_j = 1
[../]
[./strainp_yz]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_yz
index_i = 1
index_j = 2
[../]
[./strainp_zx]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_zx
index_i = 2
index_j = 0
[../]
[./strainp_zy]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_zy
index_i = 2
index_j = 1
[../]
[./strainp_zz]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_zz
index_i = 2
index_j = 2
[../]
[./straint_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_xx
index_i = 0
index_j = 0
[../]
[./straint_xy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_xy
index_i = 0
index_j = 1
[../]
[./straint_xz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_xz
index_i = 0
index_j = 2
[../]
[./straint_yx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_yx
index_i = 1
index_j = 0
[../]
[./straint_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_yy
index_i = 1
index_j = 1
[../]
[./straint_yz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_yz
index_i = 1
index_j = 2
[../]
[./straint_zx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_zx
index_i = 2
index_j = 0
[../]
[./straint_zy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_zy
index_i = 2
index_j = 1
[../]
[./straint_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_zz
index_i = 2
index_j = 2
[../]
[./f_shear]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = f_shear
[../]
[./f_tensile]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 1
variable = f_tensile
[../]
[./f_compressive]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 2
variable = f_compressive
[../]
[./intnl_shear]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 0
variable = intnl_shear
[../]
[./intnl_tensile]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 1
variable = intnl_tensile
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[./ls]
type = MaterialRealAux
property = plastic_linesearch_needed
variable = ls
[../]
[]
[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_yx]
type = PointValue
point = '0 0 0'
variable = stress_yx
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zx]
type = PointValue
point = '0 0 0'
variable = stress_zx
[../]
[./s_zy]
type = PointValue
point = '0 0 0'
variable = stress_zy
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./c_s_xx]
type = PointValue
point = '0 0 0'
variable = couple_stress_xx
[../]
[./c_s_xy]
type = PointValue
point = '0 0 0'
variable = couple_stress_xy
[../]
[./c_s_xz]
type = PointValue
point = '0 0 0'
variable = couple_stress_xz
[../]
[./c_s_yx]
type = PointValue
point = '0 0 0'
variable = couple_stress_yx
[../]
[./c_s_yy]
type = PointValue
point = '0 0 0'
variable = couple_stress_yy
[../]
[./c_s_yz]
type = PointValue
point = '0 0 0'
variable = couple_stress_yz
[../]
[./c_s_zx]
type = PointValue
point = '0 0 0'
variable = couple_stress_zx
[../]
[./c_s_zy]
type = PointValue
point = '0 0 0'
variable = couple_stress_zy
[../]
[./c_s_zz]
type = PointValue
point = '0 0 0'
variable = couple_stress_zz
[../]
[./strainp_xx]
type = PointValue
point = '0 0 0'
variable = strainp_xx
[../]
[./strainp_xy]
type = PointValue
point = '0 0 0'
variable = strainp_xy
[../]
[./strainp_xz]
type = PointValue
point = '0 0 0'
variable = strainp_xz
[../]
[./strainp_yx]
type = PointValue
point = '0 0 0'
variable = strainp_yx
[../]
[./strainp_yy]
type = PointValue
point = '0 0 0'
variable = strainp_yy
[../]
[./strainp_yz]
type = PointValue
point = '0 0 0'
variable = strainp_yz
[../]
[./strainp_zx]
type = PointValue
point = '0 0 0'
variable = strainp_zx
[../]
[./strainp_zy]
type = PointValue
point = '0 0 0'
variable = strainp_zy
[../]
[./strainp_zz]
type = PointValue
point = '0 0 0'
variable = strainp_zz
[../]
[./straint_xx]
type = PointValue
point = '0 0 0'
variable = straint_xx
[../]
[./straint_xy]
type = PointValue
point = '0 0 0'
variable = straint_xy
[../]
[./straint_xz]
type = PointValue
point = '0 0 0'
variable = straint_xz
[../]
[./straint_yx]
type = PointValue
point = '0 0 0'
variable = straint_yx
[../]
[./straint_yy]
type = PointValue
point = '0 0 0'
variable = straint_yy
[../]
[./straint_yz]
type = PointValue
point = '0 0 0'
variable = straint_yz
[../]
[./straint_zx]
type = PointValue
point = '0 0 0'
variable = straint_zx
[../]
[./straint_zy]
type = PointValue
point = '0 0 0'
variable = straint_zy
[../]
[./straint_zz]
type = PointValue
point = '0 0 0'
variable = straint_zz
[../]
[./f_shear]
type = PointValue
point = '0 0 0'
variable = f_shear
[../]
[./f_tensile]
type = PointValue
point = '0 0 0'
variable = f_tensile
[../]
[./f_compressive]
type = PointValue
point = '0 0 0'
variable = f_compressive
[../]
[./intnl_shear]
type = PointValue
point = '0 0 0'
variable = intnl_shear
[../]
[./intnl_tensile]
type = PointValue
point = '0 0 0'
variable = intnl_tensile
[../]
[./iter]
type = PointValue
point = '0 0 0'
variable = iter
[../]
[./ls]
type = PointValue
point = '0 0 0'
variable = ls
[../]
[]
[UserObjects]
[./coh]
type = SolidMechanicsHardeningConstant
value = 30
[../]
[./tanphi]
type = SolidMechanicsHardeningConstant
value = 0.5
[../]
[./tanpsi]
type = SolidMechanicsHardeningConstant
value = 0.1111077
[../]
[./t_strength]
type = SolidMechanicsHardeningConstant
value = 40
[../]
[./c_strength]
type = SolidMechanicsHardeningConstant
value = 0.024449878
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 1.0
poisson = 0.2
layer_thickness = 0.1
joint_normal_stiffness = 0.25
joint_shear_stiffness = 0.2
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
[../]
[./admissible]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = stress
perform_finite_strain_rotations = false
[../]
[./stress]
type = CappedWeakPlaneCosseratStressUpdate
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
tensile_strength = t_strength
compressive_strength = c_strength
tip_smoother = 0
smoothing_tol = 1
yield_function_tol = 1E-5
[../]
[]
[Executioner]
nl_abs_tol = 1E-14
end_time = 3
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform_cosserat2
csv = true
[]
(modules/solid_mechanics/examples/coal_mining/fine.i)
# Strata deformation and fracturing around a coal mine - 3D model
#
# A "half model" is used. The mine is 400m deep and
# just the roof is studied (-400<=z<=0). The mining panel
# sits between 0<=x<=150, and 0<=y<=1000, so this simulates
# a coal panel that is 300m wide and 1000m long. The outer boundaries
# are 1km from the excavation boundaries.
#
# 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 simulation are:
# - disp_x = 0 at x=0 and x=1150
# - disp_y = 0 at y=-1000 and y=1000
# - disp_z = 0 at z=-400, but there is a time-dependent
# Young's modulus that simulates excavation
# - wc_x = 0 at y=-1000 and y=1000
# - wc_y = 0 at x=0 and x=1150
# 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*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.
#
# 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
# MC cohesion = 3 MPa
# MC friction angle = 37 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
#
[Mesh]
[file]
type = FileMeshGenerator
file = mesh/fine.e
[]
[./xmin]
input = file
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = xmin
normal = '-1 0 0'
[../]
[./xmax]
input = xmin
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = xmax
normal = '1 0 0'
[../]
[./ymin]
input = xmax
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = ymin
normal = '0 -1 0'
[../]
[./ymax]
input = ymin
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = ymax
normal = '0 1 0'
[../]
[./zmax]
input = ymax
type = SideSetsAroundSubdomainGenerator
block = 30
new_boundary = zmax
normal = '0 0 1'
[../]
[./zmin]
input = zmax
type = SideSetsAroundSubdomainGenerator
block = 2
new_boundary = zmin
normal = '0 0 -1'
[../]
[./excav]
type = SubdomainBoundingBoxGenerator
input = zmin
block_id = 1
bottom_left = '0 0 -400'
top_right = '150 1000 -397'
[../]
[./roof]
type = SideSetsAroundSubdomainGenerator
block = 1
input = excav
new_boundary = roof
normal = '0 0 1'
[../]
[]
[GlobalParams]
perform_finite_strain_rotations = false
displacements = 'disp_x disp_y disp_z'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[./wc_y]
[../]
[]
[Kernels]
[./cx_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_x
component = 0
[../]
[./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
[../]
[./y_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_y
component = 1
[../]
[./gravity]
type = Gravity
use_displaced_mesh = false
variable = disp_z
value = -10E-6 # remember this is in MPa
[../]
[]
[AuxVariables]
[./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
[../]
[./mc_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./mc_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
[../]
[./mc_shear_f]
order = CONSTANT
family = MONOMIAL
[../]
[./mc_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
[../]
[./mc_shear]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_internal_parameter
variable = mc_shear
[../]
[./mc_tensile]
type = MaterialStdVectorAux
index = 1
property = mc_plastic_internal_parameter
variable = mc_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
[../]
[./mc_shear_f]
type = MaterialStdVectorAux
index = 6
property = mc_plastic_yield_function
variable = mc_shear_f
[../]
[./mc_tensile_f]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_yield_function
variable = mc_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_x]
type = DirichletBC
variable = disp_x
boundary = 'xmin xmax'
value = 0.0
[../]
[./no_y]
type = DirichletBC
variable = disp_y
boundary = 'ymin ymax'
value = 0.0
[../]
[./no_z]
type = DirichletBC
variable = disp_z
boundary = zmin
value = 0.0
[../]
[./no_wc_x]
type = DirichletBC
variable = wc_x
boundary = 'ymin ymax'
value = 0.0
[../]
[./no_wc_y]
type = DirichletBC
variable = wc_y
boundary = 'xmin xmax'
value = 0.0
[../]
[./roof]
type = StickyBC
variable = disp_z
min_value = -3.0
boundary = roof
[../]
[]
[Functions]
[./ini_xx]
type = ParsedFunction
expression = '0.8*2500*10E-6*z'
[../]
[./ini_zz]
type = ParsedFunction
expression = '2500*10E-6*z'
[../]
[./excav_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval slope'
symbol_values = '100.0 0 1000.0 1E-9 1 10'
# excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
# slope is the distance over which the modulus reduces from maxval to minval
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
[../]
[./density_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval'
symbol_values = '100.0 0 1000.0 0 2500'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
[../]
[]
[UserObjects]
[./mc_coh_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 2.99 # MPa
value_residual = 3.01 # MPa
rate = 1.0
[../]
[./mc_fric]
type = SolidMechanicsHardeningConstant
value = 0.65 # 37deg
[../]
[./mc_dil]
type = SolidMechanicsHardeningConstant
value = 0.15 # 8deg
[../]
[./mc_tensile_str_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.0 # MPa
rate = 1.0
[../]
[./mc_compressive_str]
type = SolidMechanicsHardeningCubic
value_0 = 100 # Large!
value_residual = 100
internal_limit = 0.1
[../]
[./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
internal_limit = 1.0
[../]
[]
[Materials]
[./elasticity_tensor_0]
type = ComputeLayeredCosseratElasticityTensor
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
[../]
[./elasticity_tensor_1]
type = ComputeLayeredCosseratElasticityTensor
block = 1
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
elasticity_tensor_prefactor = excav_sideways
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
eigenstrain_name = ini_stress
initial_stress = 'ini_xx 0 0 0 ini_xx 0 0 0 ini_zz'
[../]
[./stress_0]
type = ComputeMultipleInelasticCosseratStress
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
inelastic_models = 'mc wp'
cycle_models = true
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[../]
[./stress_1]
type = ComputeMultipleInelasticCosseratStress
block = 1
inelastic_models = ''
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[../]
[./mc]
type = CappedMohrCoulombCosseratStressUpdate
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = mc
tensile_strength = mc_tensile_str_strong_harden
compressive_strength = mc_compressive_str
cohesion = mc_coh_strong_harden
friction_angle = mc_fric
dilation_angle = mc_dil
max_NR_iterations = 100000
smoothing_tol = 0.1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-9 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0
[../]
[./wp]
type = CappedWeakPlaneCosseratStressUpdate
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_0]
type = GenericConstantMaterial
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
prop_names = density
prop_values = 2500
[../]
[./density_1]
type = GenericFunctionMaterial
block = 1
prop_names = density
prop_values = density_sideways
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[]
[]
[Postprocessors]
[./min_roof_disp]
type = NodalExtremeValue
boundary = roof
value_type = min
variable = disp_z
[../]
[./min_surface_disp]
type = NodalExtremeValue
boundary = zmax
value_type = min
variable = disp_z
[../]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason'
petsc_options_iname = '-pc_type -ksp_type -ksp_gmres_restart'
petsc_options_value = ' bjacobi 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 = 0.5
end_time = 100.0
[]
[Outputs]
time_step_interval = 1
print_linear_residuals = false
exodus = true
csv = true
console = true
[]
(modules/porous_flow/examples/coal_mining/fine_with_fluid.i)
#################################################################
#
# NOTE:
# The mesh for this model is too large for the MOOSE repository
# so is kept in the the large_media submodule
#
#################################################################
#
# Strata deformation and fluid flow aaround a coal mine - 3D model
#
# A "half model" is used. The mine is 400m deep and
# just the roof is studied (-400<=z<=0). The mining panel
# sits between 0<=x<=150, and 0<=y<=1000, so this simulates
# a coal panel that is 300m wide and 1000m long. The outer boundaries
# are 1km from the excavation boundaries.
#
# The excavation takes 0.5 years.
#
# The boundary conditions for this simulation are:
# - disp_x = 0 at x=0 and x=1150
# - disp_y = 0 at y=-1000 and y=1000
# - disp_z = 0 at z=-400, but there is a time-dependent
# Young modulus that simulates excavation
# - wc_x = 0 at y=-1000 and y=1000
# - wc_y = 0 at x=0 and x=1150
# - no flow at x=0, z=-400 and z=0
# - fixed porepressure at y=-1000, y=1000 and x=1150
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# A single-phase unsaturated fluid is used.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa, and time units are measured in years.
#
# The initial porepressure is hydrostatic with P=0 at z=0, so
# Porepressure ~ - 0.01*z MPa, where the fluid has density 1E3 kg/m^3 and
# gravity = = 10 m.s^-2 = 1E-5 MPa m^2/kg.
# To be more accurate, i use
# Porepressure = -bulk * log(1 + g*rho0*z/bulk)
# where bulk=2E3 MPa and rho0=1Ee kg/m^3.
# The initial stress is consistent with the weight force from undrained
# density 2500 kg/m^3, and fluid porepressure, and a Biot coefficient of 0.7, ie,
# stress_zz^effective = 0.025*z + 0.7 * initial_porepressure
# The maximum and minimum principal horizontal effective stresses are
# assumed to be equal to 0.8*stress_zz.
#
# 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
# MC cohesion = 2 MPa
# MC friction angle = 35 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
# Fluid density at zero porepressure = 1E3 kg/m^3
# Fluid bulk modulus = 2E3 MPa
# Fluid viscosity = 1.1E-3 Pa.s = 1.1E-9 MPa.s = 3.5E-17 MPa.year
#
[GlobalParams]
perform_finite_strain_rotations = false
displacements = 'disp_x disp_y disp_z'
Cosserat_rotations = 'wc_x wc_y wc_z'
PorousFlowDictator = dictator
biot_coefficient = 0.7
[]
[Mesh]
[file]
type = FileMeshGenerator
file = fine.e
[]
[xmin]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = xmin
normal = '-1 0 0'
input = file
[]
[xmax]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = xmax
normal = '1 0 0'
input = xmin
[]
[ymin]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = ymin
normal = '0 -1 0'
input = xmax
[]
[ymax]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = ymax
normal = '0 1 0'
input = ymin
[]
[zmax]
type = SideSetsAroundSubdomainGenerator
block = 30
new_boundary = zmax
normal = '0 0 1'
input = ymax
[]
[zmin]
type = SideSetsAroundSubdomainGenerator
block = 2
new_boundary = zmin
normal = '0 0 -1'
input = zmax
[]
[excav]
type = SubdomainBoundingBoxGenerator
input = zmin
block_id = 1
bottom_left = '0 0 -400'
top_right = '150 1000 -397'
[]
[roof]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 3
paired_block = 1
input = excav
new_boundary = roof
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[wc_x]
[]
[wc_y]
[]
[porepressure]
scaling = 1E-5
[]
[]
[ICs]
[porepressure]
type = FunctionIC
variable = porepressure
function = ini_pp
[]
[]
[Kernels]
[cx_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_x
component = 0
[]
[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
[]
[y_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[]
[x_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_x
component = 0
[]
[y_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_y
component = 1
[]
[gravity]
type = Gravity
use_displaced_mesh = false
variable = disp_z
value = -10E-6 # remember this is in MPa
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
use_displaced_mesh = false
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
use_displaced_mesh = false
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
use_displaced_mesh = false
variable = porepressure
gravity = '0 0 -10E-6'
fluid_component = 0
[]
[]
[AuxVariables]
[saturation]
order = CONSTANT
family = MONOMIAL
[]
[darcy_x]
order = CONSTANT
family = MONOMIAL
[]
[darcy_y]
order = CONSTANT
family = MONOMIAL
[]
[darcy_z]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[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
[]
[total_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[perm_xx]
order = CONSTANT
family = MONOMIAL
[]
[perm_yy]
order = CONSTANT
family = MONOMIAL
[]
[perm_zz]
order = CONSTANT
family = MONOMIAL
[]
[mc_shear]
order = CONSTANT
family = MONOMIAL
[]
[mc_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
[]
[mc_shear_f]
order = CONSTANT
family = MONOMIAL
[]
[mc_tensile_f]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[saturation_water]
type = PorousFlowPropertyAux
variable = saturation
property = saturation
phase = 0
execute_on = timestep_end
[]
[darcy_x]
type = PorousFlowDarcyVelocityComponent
variable = darcy_x
gravity = '0 0 -10E-6'
component = x
[]
[darcy_y]
type = PorousFlowDarcyVelocityComponent
variable = darcy_y
gravity = '0 0 -10E-6'
component = y
[]
[darcy_z]
type = PorousFlowDarcyVelocityComponent
variable = darcy_z
gravity = '0 0 -10E-6'
component = z
[]
[porosity]
type = PorousFlowPropertyAux
property = porosity
variable = porosity
execute_on = timestep_end
[]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yx
index_i = 1
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
execute_on = timestep_end
[]
[stress_zy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zy
index_i = 2
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[total_strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[total_strain_xy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[total_strain_xz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[total_strain_yx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yx
index_i = 1
index_j = 0
execute_on = timestep_end
[]
[total_strain_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[total_strain_yz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[total_strain_zx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zx
index_i = 2
index_j = 0
execute_on = timestep_end
[]
[total_strain_zy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zy
index_i = 2
index_j = 1
execute_on = timestep_end
[]
[total_strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[perm_xx]
type = PorousFlowPropertyAux
property = permeability
variable = perm_xx
row = 0
column = 0
execute_on = timestep_end
[]
[perm_yy]
type = PorousFlowPropertyAux
property = permeability
variable = perm_yy
row = 1
column = 1
execute_on = timestep_end
[]
[perm_zz]
type = PorousFlowPropertyAux
property = permeability
variable = perm_zz
row = 2
column = 2
execute_on = timestep_end
[]
[mc_shear]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_internal_parameter
variable = mc_shear
execute_on = timestep_end
[]
[mc_tensile]
type = MaterialStdVectorAux
index = 1
property = mc_plastic_internal_parameter
variable = mc_tensile
execute_on = timestep_end
[]
[wp_shear]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_internal_parameter
variable = wp_shear
execute_on = timestep_end
[]
[wp_tensile]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_internal_parameter
variable = wp_tensile
execute_on = timestep_end
[]
[mc_shear_f]
type = MaterialStdVectorAux
index = 6
property = mc_plastic_yield_function
variable = mc_shear_f
execute_on = timestep_end
[]
[mc_tensile_f]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_yield_function
variable = mc_tensile_f
execute_on = timestep_end
[]
[wp_shear_f]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_yield_function
variable = wp_shear_f
execute_on = timestep_end
[]
[wp_tensile_f]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_yield_function
variable = wp_tensile_f
execute_on = timestep_end
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_x
boundary = 'xmin xmax'
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_y
boundary = 'ymin ymax'
value = 0.0
[]
[no_z]
type = DirichletBC
variable = disp_z
boundary = zmin
value = 0.0
[]
[no_wc_x]
type = DirichletBC
variable = wc_x
boundary = 'ymin ymax'
value = 0.0
[]
[no_wc_y]
type = DirichletBC
variable = wc_y
boundary = 'xmin xmax'
value = 0.0
[]
[fix_porepressure]
type = FunctionDirichletBC
variable = porepressure
boundary = 'ymin ymax xmax'
function = ini_pp
[]
[roof_porepressure]
type = PorousFlowPiecewiseLinearSink
variable = porepressure
pt_vals = '-1E3 1E3'
multipliers = '-1 1'
fluid_phase = 0
flux_function = roof_conductance
boundary = roof
[]
[roof]
type = StickyBC
variable = disp_z
min_value = -3.0
boundary = roof
[]
[]
[Functions]
[ini_pp]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0'
symbol_values = '2E3 0.0 1E-5 1E3'
expression = '-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)'
[]
[ini_xx]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0 biot'
symbol_values = '2E3 0.0 1E-5 1E3 0.7'
expression = '0.8*(2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)))'
[]
[ini_zz]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0 biot'
symbol_values = '2E3 0.0 1E-5 1E3 0.7'
expression = '2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk))'
[]
[excav_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval slope'
symbol_values = '0.5 0 1000.0 1E-9 1 10'
# excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
# slope is the distance over which the modulus reduces from maxval to minval
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
[]
[density_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval'
symbol_values = '0.5 0 1000.0 0 2500'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
[]
[roof_conductance]
type = ParsedFunction
symbol_names = 'end_t ymin ymax maxval minval'
symbol_values = '0.5 0 1000.0 1E7 0'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),maxval,minval)'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1 # MPa^-1
[]
[mc_coh_strong_harden]
type = TensorMechanicsHardeningExponential
value_0 = 1.99 # MPa
value_residual = 2.01 # MPa
rate = 1.0
[]
[mc_fric]
type = TensorMechanicsHardeningConstant
value = 0.61 # 35deg
[]
[mc_dil]
type = TensorMechanicsHardeningConstant
value = 0.15 # 8deg
[]
[mc_tensile_str_strong_harden]
type = TensorMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.0 # MPa
rate = 1.0
[]
[mc_compressive_str]
type = TensorMechanicsHardeningCubic
value_0 = 100 # Large!
value_residual = 100
internal_limit = 0.1
[]
[wp_coh_harden]
type = TensorMechanicsHardeningCubic
value_0 = 0.05
value_residual = 0.05
internal_limit = 10
[]
[wp_tan_fric]
type = TensorMechanicsHardeningConstant
value = 0.26 # 15deg
[]
[wp_tan_dil]
type = TensorMechanicsHardeningConstant
value = 0.18 # 10deg
[]
[wp_tensile_str_harden]
type = TensorMechanicsHardeningCubic
value_0 = 0.05
value_residual = 0.05
internal_limit = 10
[]
[wp_compressive_str_soften]
type = TensorMechanicsHardeningCubic
value_0 = 100
value_residual = 1
internal_limit = 1.0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 2E3
density0 = 1000
thermal_expansion = 0
viscosity = 3.5E-17
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity_for_aux]
type = PorousFlowPorosity
at_nodes = false
fluid = true
mechanical = true
ensure_positive = true
porosity_zero = 0.02
solid_bulk = 5.3333E3
[]
[porosity_bulk]
type = PorousFlowPorosity
fluid = true
mechanical = true
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
ensure_positive = true
porosity_zero = 0.02
solid_bulk = 5.3333E3
[]
[porosity_excav]
type = PorousFlowPorosityConst
block = 1
porosity = 1.0
[]
[permeability_bulk]
type = PorousFlowPermeabilityKozenyCarman
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
poroperm_function = kozeny_carman_phi0
k0 = 1E-15
phi0 = 0.02
n = 2
m = 2
[]
[permeability_excav]
type = PorousFlowPermeabilityConst
block = 1
permeability = '0 0 0 0 0 0 0 0 0'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 4
s_res = 0.4
sum_s_res = 0.4
phase = 0
[]
[elasticity_tensor_0]
type = ComputeLayeredCosseratElasticityTensor
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
[]
[elasticity_tensor_1]
type = ComputeLayeredCosseratElasticityTensor
block = 1
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
elasticity_tensor_prefactor = excav_sideways
[]
[strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[]
[ini_stress]
type = ComputeEigenstrainFromInitialStress
eigenstrain_name = ini_stress
initial_stress = 'ini_xx 0 0 0 ini_xx 0 0 0 ini_zz'
[]
[stress_0]
type = ComputeMultipleInelasticCosseratStress
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
inelastic_models = 'mc wp'
cycle_models = true
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[]
[stress_1]
type = ComputeMultipleInelasticCosseratStress
block = 1
inelastic_models = ''
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[]
[mc]
type = CappedMohrCoulombCosseratStressUpdate
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = mc
tensile_strength = mc_tensile_str_strong_harden
compressive_strength = mc_compressive_str
cohesion = mc_coh_strong_harden
friction_angle = mc_fric
dilation_angle = mc_dil
max_NR_iterations = 100000
smoothing_tol = 0.1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-9 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0
[]
[wp]
type = CappedWeakPlaneCosseratStressUpdate
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 = 0.05
smoothing_tol = 0.05 # 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
[]
[undrained_density_0]
type = GenericConstantMaterial
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
prop_names = density
prop_values = 2500
[]
[undrained_density_1]
type = GenericFunctionMaterial
block = 1
prop_names = density
prop_values = density_sideways
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Postprocessors]
[min_roof_disp]
type = NodalExtremeValue
boundary = roof
value_type = min
variable = disp_z
[]
[min_roof_pp]
type = NodalExtremeValue
boundary = roof
value_type = min
variable = porepressure
[]
[min_surface_disp]
type = NodalExtremeValue
boundary = zmax
value_type = min
variable = disp_z
[]
[min_surface_pp]
type = NodalExtremeValue
boundary = zmax
value_type = min
variable = porepressure
[]
[max_perm_zz]
type = ElementExtremeValue
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
variable = perm_zz
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason'
# best overall
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu mumps'
# best if you don't have mumps:
#petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
#petsc_options_value = ' asm 2 lu gmres 200'
# very basic:
#petsc_options_iname = '-pc_type -ksp_type -ksp_gmres_restart'
#petsc_options_value = ' bjacobi gmres 200'
line_search = bt
nl_abs_tol = 1e-3
nl_rel_tol = 1e-5
l_max_its = 200
nl_max_its = 30
start_time = 0.0
dt = 0.0025
end_time = 0.5
[]
[Outputs]
time_step_interval = 1
print_linear_residuals = true
exodus = true
csv = true
console = true
[]
(modules/solid_mechanics/test/tests/jacobian/cwpc01.i)
[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'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[./wc_y]
[../]
[]
[Kernels]
[./cx_elastic]
type = CosseratStressDivergenceTensors
variable = disp_x
component = 0
[../]
[./cy_elastic]
type = CosseratStressDivergenceTensors
variable = disp_y
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
variable = disp_z
component = 2
[../]
[./x_couple]
type = StressDivergenceTensors
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[../]
[./y_couple]
type = StressDivergenceTensors
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[]
[AuxVariables]
[./wc_z]
[../]
[]
[UserObjects]
[./coh]
type = SolidMechanicsHardeningConstant
value = 20
[../]
[./tanphi]
type = SolidMechanicsHardeningConstant
value = 0.5
[../]
[./tanpsi]
type = SolidMechanicsHardeningConstant
value = 2.055555555556E-01
[../]
[./t_strength]
type = SolidMechanicsHardeningConstant
value = 1
[../]
[./c_strength]
type = SolidMechanicsHardeningConstant
value = 100
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 10.0
poisson = 0.25
layer_thickness = 10.0
joint_normal_stiffness = 2.5
joint_shear_stiffness = 2.0
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '10 0 0 0 10 0 0 0 10'
eigenstrain_name = ini_stress
[../]
[./admissible]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = stress
perform_finite_strain_rotations = false
[../]
[./stress]
type = CappedWeakPlaneCosseratStressUpdate
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
tensile_strength = t_strength
compressive_strength = c_strength
tip_smoother = 1
smoothing_tol = 1
yield_function_tol = 1E-11
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[../]
[]
[Executioner]
solve_type = 'NEWTON'
end_time = 1
dt = 1
type = Transient
[]
(modules/porous_flow/examples/coal_mining/coarse_with_fluid.i)
# Strata deformation and fluid flow aaround a coal mine - 3D model
#
# A "half model" is used. The mine is 400m deep and
# just the roof is studied (-400<=z<=0). The mining panel
# sits between 0<=x<=150, and 0<=y<=1000, so this simulates
# a coal panel that is 300m wide and 1000m long. The outer boundaries
# are 1km from the excavation boundaries.
#
# The excavation takes 0.5 years.
#
# The boundary conditions for this simulation are:
# - disp_x = 0 at x=0 and x=1150
# - disp_y = 0 at y=-1000 and y=1000
# - disp_z = 0 at z=-400, but there is a time-dependent
# Young modulus that simulates excavation
# - wc_x = 0 at y=-1000 and y=1000
# - wc_y = 0 at x=0 and x=1150
# - no flow at x=0, z=-400 and z=0
# - fixed porepressure at y=-1000, y=1000 and x=1150
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# A single-phase unsaturated fluid is used.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa, and time units are measured in years.
#
# The initial porepressure is hydrostatic with P=0 at z=0, so
# Porepressure ~ - 0.01*z MPa, where the fluid has density 1E3 kg/m^3 and
# gravity = = 10 m.s^-2 = 1E-5 MPa m^2/kg.
# To be more accurate, i use
# Porepressure = -bulk * log(1 + g*rho0*z/bulk)
# where bulk=2E3 MPa and rho0=1Ee kg/m^3.
# The initial stress is consistent with the weight force from undrained
# density 2500 kg/m^3, and fluid porepressure, and a Biot coefficient of 0.7, ie,
# stress_zz^effective = 0.025*z + 0.7 * initial_porepressure
# The maximum and minimum principal horizontal effective stresses are
# assumed to be equal to 0.8*stress_zz.
#
# 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
# MC cohesion = 2 MPa
# MC friction angle = 35 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
# Fluid density at zero porepressure = 1E3 kg/m^3
# Fluid bulk modulus = 2E3 MPa
# Fluid viscosity = 1.1E-3 Pa.s = 1.1E-9 MPa.s = 3.5E-17 MPa.year
#
[GlobalParams]
perform_finite_strain_rotations = false
displacements = 'disp_x disp_y disp_z'
Cosserat_rotations = 'wc_x wc_y wc_z'
PorousFlowDictator = dictator
biot_coefficient = 0.7
[]
[Mesh]
[file]
type = FileMeshGenerator
file = mesh/coarse.e
[]
[xmin]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = xmin
normal = '-1 0 0'
input = file
[]
[xmax]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = xmax
normal = '1 0 0'
input = xmin
[]
[ymin]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = ymin
normal = '0 -1 0'
input = xmax
[]
[ymax]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = ymax
normal = '0 1 0'
input = ymin
[]
[zmax]
type = SideSetsAroundSubdomainGenerator
block = 16
new_boundary = zmax
normal = '0 0 1'
input = ymax
[]
[zmin]
type = SideSetsAroundSubdomainGenerator
block = 2
new_boundary = zmin
normal = '0 0 -1'
input = zmax
[]
[excav]
type = SubdomainBoundingBoxGenerator
input = zmin
block_id = 1
bottom_left = '0 0 -400'
top_right = '150 1000 -397'
[]
[roof]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 3
paired_block = 1
input = excav
new_boundary = roof
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[wc_x]
[]
[wc_y]
[]
[porepressure]
scaling = 1E-5
[]
[]
[ICs]
[porepressure]
type = FunctionIC
variable = porepressure
function = ini_pp
[]
[]
[Kernels]
[cx_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_x
component = 0
[]
[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
[]
[y_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[]
[x_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_x
component = 0
[]
[y_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_y
component = 1
[]
[gravity]
type = Gravity
use_displaced_mesh = false
variable = disp_z
value = -10E-6 # remember this is in MPa
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
component = 2
variable = disp_z
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
use_displaced_mesh = false
variable = porepressure
gravity = '0 0 -10E-6'
fluid_component = 0
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
variable = porepressure
fluid_component = 0
[]
[]
[AuxVariables]
[saturation]
order = CONSTANT
family = MONOMIAL
[]
[darcy_x]
order = CONSTANT
family = MONOMIAL
[]
[darcy_y]
order = CONSTANT
family = MONOMIAL
[]
[darcy_z]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[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
[]
[total_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[perm_xx]
order = CONSTANT
family = MONOMIAL
[]
[perm_yy]
order = CONSTANT
family = MONOMIAL
[]
[perm_zz]
order = CONSTANT
family = MONOMIAL
[]
[mc_shear]
order = CONSTANT
family = MONOMIAL
[]
[mc_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
[]
[mc_shear_f]
order = CONSTANT
family = MONOMIAL
[]
[mc_tensile_f]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[saturation_water]
type = PorousFlowPropertyAux
variable = saturation
property = saturation
phase = 0
execute_on = timestep_end
[]
[darcy_x]
type = PorousFlowDarcyVelocityComponent
variable = darcy_x
gravity = '0 0 -10E-6'
component = x
[]
[darcy_y]
type = PorousFlowDarcyVelocityComponent
variable = darcy_y
gravity = '0 0 -10E-6'
component = y
[]
[darcy_z]
type = PorousFlowDarcyVelocityComponent
variable = darcy_z
gravity = '0 0 -10E-6'
component = z
[]
[porosity]
type = PorousFlowPropertyAux
property = porosity
variable = porosity
execute_on = timestep_end
[]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yx
index_i = 1
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
execute_on = timestep_end
[]
[stress_zy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zy
index_i = 2
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[total_strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[total_strain_xy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[total_strain_xz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[total_strain_yx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yx
index_i = 1
index_j = 0
execute_on = timestep_end
[]
[total_strain_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[total_strain_yz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[total_strain_zx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zx
index_i = 2
index_j = 0
execute_on = timestep_end
[]
[total_strain_zy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zy
index_i = 2
index_j = 1
execute_on = timestep_end
[]
[total_strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[perm_xx]
type = PorousFlowPropertyAux
property = permeability
variable = perm_xx
row = 0
column = 0
execute_on = timestep_end
[]
[perm_yy]
type = PorousFlowPropertyAux
property = permeability
variable = perm_yy
row = 1
column = 1
execute_on = timestep_end
[]
[perm_zz]
type = PorousFlowPropertyAux
property = permeability
variable = perm_zz
row = 2
column = 2
execute_on = timestep_end
[]
[mc_shear]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_internal_parameter
variable = mc_shear
execute_on = timestep_end
[]
[mc_tensile]
type = MaterialStdVectorAux
index = 1
property = mc_plastic_internal_parameter
variable = mc_tensile
execute_on = timestep_end
[]
[wp_shear]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_internal_parameter
variable = wp_shear
execute_on = timestep_end
[]
[wp_tensile]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_internal_parameter
variable = wp_tensile
execute_on = timestep_end
[]
[mc_shear_f]
type = MaterialStdVectorAux
index = 6
property = mc_plastic_yield_function
variable = mc_shear_f
execute_on = timestep_end
[]
[mc_tensile_f]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_yield_function
variable = mc_tensile_f
execute_on = timestep_end
[]
[wp_shear_f]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_yield_function
variable = wp_shear_f
execute_on = timestep_end
[]
[wp_tensile_f]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_yield_function
variable = wp_tensile_f
execute_on = timestep_end
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_x
boundary = 'xmin xmax'
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_y
boundary = 'ymin ymax'
value = 0.0
[]
[no_z]
type = DirichletBC
variable = disp_z
boundary = zmin
value = 0.0
[]
[no_wc_x]
type = DirichletBC
variable = wc_x
boundary = 'ymin ymax'
value = 0.0
[]
[no_wc_y]
type = DirichletBC
variable = wc_y
boundary = 'xmin xmax'
value = 0.0
[]
[fix_porepressure]
type = FunctionDirichletBC
variable = porepressure
boundary = 'ymin ymax xmax'
function = ini_pp
[]
[roof_porepressure]
type = PorousFlowPiecewiseLinearSink
variable = porepressure
pt_vals = '-1E3 1E3'
multipliers = '-1 1'
fluid_phase = 0
flux_function = roof_conductance
boundary = roof
[]
[roof_bcs]
type = StickyBC
variable = disp_z
min_value = -3.0
boundary = roof
[]
[]
[Functions]
[ini_pp]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0'
symbol_values = '2E3 0.0 1E-5 1E3'
expression = '-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)'
[]
[ini_xx]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0 biot'
symbol_values = '2E3 0.0 1E-5 1E3 0.7'
expression = '0.8*(2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)))'
[]
[ini_zz]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0 biot'
symbol_values = '2E3 0.0 1E-5 1E3 0.7'
expression = '2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk))'
[]
[excav_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval slope'
symbol_values = '0.5 0 1000.0 1E-9 1 60'
# excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
# slope is the distance over which the modulus reduces from maxval to minval
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
[]
[density_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval'
symbol_values = '0.5 0 1000.0 0 2500'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
[]
[roof_conductance]
type = ParsedFunction
symbol_names = 'end_t ymin ymax maxval minval'
symbol_values = '0.5 0 1000.0 1E7 0'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),maxval,minval)'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1 # MPa^-1
[]
[mc_coh_strong_harden]
type = TensorMechanicsHardeningExponential
value_0 = 1.99 # MPa
value_residual = 2.01 # MPa
rate = 1.0
[]
[mc_fric]
type = TensorMechanicsHardeningConstant
value = 0.61 # 35deg
[]
[mc_dil]
type = TensorMechanicsHardeningConstant
value = 0.15 # 8deg
[]
[mc_tensile_str_strong_harden]
type = TensorMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.0 # MPa
rate = 1.0
[]
[mc_compressive_str]
type = TensorMechanicsHardeningCubic
value_0 = 100 # Large!
value_residual = 100
internal_limit = 0.1
[]
[wp_coh_harden]
type = TensorMechanicsHardeningCubic
value_0 = 0.05
value_residual = 0.05
internal_limit = 10
[]
[wp_tan_fric]
type = TensorMechanicsHardeningConstant
value = 0.26 # 15deg
[]
[wp_tan_dil]
type = TensorMechanicsHardeningConstant
value = 0.18 # 10deg
[]
[wp_tensile_str_harden]
type = TensorMechanicsHardeningCubic
value_0 = 0.05
value_residual = 0.05
internal_limit = 10
[]
[wp_compressive_str_soften]
type = TensorMechanicsHardeningCubic
value_0 = 100
value_residual = 1
internal_limit = 1.0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 2E3
density0 = 1000
thermal_expansion = 0
viscosity = 3.5E-17
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity_bulk]
type = PorousFlowPorosity
fluid = true
mechanical = true
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
ensure_positive = true
porosity_zero = 0.02
solid_bulk = 5.3333E3
[]
[porosity_excav]
type = PorousFlowPorosityConst
block = 1
porosity = 1.0
[]
[permeability_bulk]
type = PorousFlowPermeabilityKozenyCarman
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
poroperm_function = kozeny_carman_phi0
k0 = 1E-15
phi0 = 0.02
n = 2
m = 2
[]
[permeability_excav]
type = PorousFlowPermeabilityConst
block = 1
permeability = '0 0 0 0 0 0 0 0 0'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 4
s_res = 0.4
sum_s_res = 0.4
phase = 0
[]
[elasticity_tensor_0]
type = ComputeLayeredCosseratElasticityTensor
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
[]
[elasticity_tensor_1]
type = ComputeLayeredCosseratElasticityTensor
block = 1
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
elasticity_tensor_prefactor = excav_sideways
[]
[strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[]
[ini_stress]
type = ComputeEigenstrainFromInitialStress
eigenstrain_name = ini_stress
initial_stress = 'ini_xx 0 0 0 ini_xx 0 0 0 ini_zz'
[]
[stress_0]
type = ComputeMultipleInelasticCosseratStress
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
inelastic_models = 'mc wp'
cycle_models = true
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[]
[stress_1]
type = ComputeMultipleInelasticCosseratStress
block = 1
inelastic_models = ''
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[]
[mc]
type = CappedMohrCoulombCosseratStressUpdate
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = mc
tensile_strength = mc_tensile_str_strong_harden
compressive_strength = mc_compressive_str
cohesion = mc_coh_strong_harden
friction_angle = mc_fric
dilation_angle = mc_dil
max_NR_iterations = 100000
smoothing_tol = 0.1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-9 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0
[]
[wp]
type = CappedWeakPlaneCosseratStressUpdate
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 = 0.05
smoothing_tol = 0.05 # 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
[]
[undrained_density_0]
type = GenericConstantMaterial
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
prop_names = density
prop_values = 2500
[]
[undrained_density_1]
type = GenericFunctionMaterial
block = 1
prop_names = density
prop_values = density_sideways
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Postprocessors]
[min_roof_disp]
type = NodalExtremeValue
boundary = roof
value_type = min
variable = disp_z
[]
[min_roof_pp]
type = NodalExtremeValue
boundary = roof
value_type = min
variable = porepressure
[]
[min_surface_disp]
type = NodalExtremeValue
boundary = zmax
value_type = min
variable = disp_z
[]
[min_surface_pp]
type = NodalExtremeValue
boundary = zmax
value_type = min
variable = porepressure
[]
[max_perm_zz]
type = ElementExtremeValue
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
variable = perm_zz
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason'
# best overall
# petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
# petsc_options_value = ' lu mumps'
# best if you do not have mumps:
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
# best if you do not have mumps or superlu_dist:
#petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
#petsc_options_value = ' asm 2 lu gmres 200'
# very basic:
#petsc_options_iname = '-pc_type -ksp_type -ksp_gmres_restart'
#petsc_options_value = ' bjacobi gmres 200'
line_search = bt
nl_abs_tol = 1e-3
nl_rel_tol = 1e-5
l_max_its = 200
nl_max_its = 30
start_time = 0.0
dt = 0.014706
end_time = 0.014706 #0.5
[]
[Outputs]
time_step_interval = 1
print_linear_residuals = true
exodus = true
csv = true
console = true
[]
(modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat1.i)
# Plastic deformation. Layered Cosserat with parameters:
# Young = 1.0
# Poisson = 0.2
# layer_thickness = 0.1
# joint_normal_stiffness = 0.25
# joint_shear_stiffness = 0.2
# These give the following nonzero components of the elasticity tensor:
# E_0000 = E_1111 = 1.043195
# E_0011 = E_1100 = 0.260799
# E_2222 = 0.02445
# E_0022 = E_1122 = E_2200 = E_2211 = 0.006112
# G = E_0101 = E_0110 = E_1001 = E_1010 = 0.416667
# Gt = E_0202 = E_0220 = E_2002 = E_1212 = E_1221 = E_2112 = 0.019084
# E_2020 = E_2121 = 0.217875
# They give the following nonzero components of the bending rigidity tensor:
# D = 8.68056E-5
# B_0101 = B_1010 = 7.92021E-4
# B_0110 = B_1001 = -1.584E-4
#
# Applying the following deformation to the zmax surface of a unit cube:
# disp_x = 8*t
# disp_y = 6*t
# disp_z = t
# omega_x = omega_y = omega_z = 0
# yields the following strains:
# strain_xz = 8*t
# strain_yz = 6*t
# strain_zz = t
# and all other components, and the curvature, are zero.
# The nonzero components of stress are therefore:
# stress_xx = stress_yy = 0.006112*t
# stress_xz = stress_zx = 0.152671*t
# stress_yz = stress_zy = 0.114504*t
# stress_zz = 0.0244499*t
# The moment stress is zero.
# So q = 0.19084*t and p = 0.0244*t.
#
# With large cohesion, but tensile strength = 0.0244499, the
# system is elastic up to t=1. After that time
# stress_zz = 0.0244499 (for t>=1)
# and
# stress_xx = stress_yy = 0.006112 (for t>=1), since the
# elastic trial increment is exactly canelled by the Poisson's
# contribution from the return to the yield surface.
# The plastic strains are zero for t<=1, but for larger times:
# plastic_strain_zz = (t - 1) (for t>=1)
[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'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[./wc_y]
[../]
[]
[Kernels]
[./cx_elastic]
type = CosseratStressDivergenceTensors
variable = disp_x
component = 0
[../]
[./cy_elastic]
type = CosseratStressDivergenceTensors
variable = disp_y
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
variable = disp_z
component = 2
[../]
[./x_couple]
type = StressDivergenceTensors
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[../]
[./y_couple]
type = StressDivergenceTensors
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[]
[BCs]
[./bottomx]
type = DirichletBC
variable = disp_x
boundary = back
value = 0.0
[../]
[./bottomy]
type = DirichletBC
variable = disp_y
boundary = back
value = 0.0
[../]
[./bottomz]
type = DirichletBC
variable = disp_z
boundary = back
value = 0.0
[../]
[./topx]
type = FunctionDirichletBC
variable = disp_x
boundary = front
function = 8*t
[../]
[./topy]
type = FunctionDirichletBC
variable = disp_y
boundary = front
function = 6*t
[../]
[./topz]
type = FunctionDirichletBC
variable = disp_z
boundary = front
function = t
[../]
[]
[AuxVariables]
[./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
[../]
[./couple_stress_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_xz]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_yx]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_yz]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_zx]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_zy]
family = MONOMIAL
order = CONSTANT
[../]
[./couple_stress_zz]
family = MONOMIAL
order = CONSTANT
[../]
[./strainp_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_yx]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_zy]
order = CONSTANT
family = MONOMIAL
[../]
[./strainp_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_yx]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_zy]
order = CONSTANT
family = MONOMIAL
[../]
[./straint_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./f_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./f_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./f_compressive]
order = CONSTANT
family = MONOMIAL
[../]
[./intnl_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./intnl_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[./ls]
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
[../]
[./couple_stress_xx]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_xx
index_i = 0
index_j = 0
[../]
[./couple_stress_xy]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_xy
index_i = 0
index_j = 1
[../]
[./couple_stress_xz]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_xz
index_i = 0
index_j = 2
[../]
[./couple_stress_yx]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_yx
index_i = 1
index_j = 0
[../]
[./couple_stress_yy]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_yy
index_i = 1
index_j = 1
[../]
[./couple_stress_yz]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_yz
index_i = 1
index_j = 2
[../]
[./couple_stress_zx]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_zx
index_i = 2
index_j = 0
[../]
[./couple_stress_zy]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_zy
index_i = 2
index_j = 1
[../]
[./couple_stress_zz]
type = RankTwoAux
rank_two_tensor = couple_stress
variable = couple_stress_zz
index_i = 2
index_j = 2
[../]
[./strainp_xx]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_xx
index_i = 0
index_j = 0
[../]
[./strainp_xy]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_xy
index_i = 0
index_j = 1
[../]
[./strainp_xz]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_xz
index_i = 0
index_j = 2
[../]
[./strainp_yx]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_yx
index_i = 1
index_j = 0
[../]
[./strainp_yy]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_yy
index_i = 1
index_j = 1
[../]
[./strainp_yz]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_yz
index_i = 1
index_j = 2
[../]
[./strainp_zx]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_zx
index_i = 2
index_j = 0
[../]
[./strainp_zy]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_zy
index_i = 2
index_j = 1
[../]
[./strainp_zz]
type = RankTwoAux
rank_two_tensor = plastic_strain
variable = strainp_zz
index_i = 2
index_j = 2
[../]
[./straint_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_xx
index_i = 0
index_j = 0
[../]
[./straint_xy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_xy
index_i = 0
index_j = 1
[../]
[./straint_xz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_xz
index_i = 0
index_j = 2
[../]
[./straint_yx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_yx
index_i = 1
index_j = 0
[../]
[./straint_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_yy
index_i = 1
index_j = 1
[../]
[./straint_yz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_yz
index_i = 1
index_j = 2
[../]
[./straint_zx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_zx
index_i = 2
index_j = 0
[../]
[./straint_zy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_zy
index_i = 2
index_j = 1
[../]
[./straint_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = straint_zz
index_i = 2
index_j = 2
[../]
[./f_shear]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = f_shear
[../]
[./f_tensile]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 1
variable = f_tensile
[../]
[./f_compressive]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 2
variable = f_compressive
[../]
[./intnl_shear]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 0
variable = intnl_shear
[../]
[./intnl_tensile]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 1
variable = intnl_tensile
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[./ls]
type = MaterialRealAux
property = plastic_linesearch_needed
variable = ls
[../]
[]
[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_yx]
type = PointValue
point = '0 0 0'
variable = stress_yx
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zx]
type = PointValue
point = '0 0 0'
variable = stress_zx
[../]
[./s_zy]
type = PointValue
point = '0 0 0'
variable = stress_zy
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./c_s_xx]
type = PointValue
point = '0 0 0'
variable = couple_stress_xx
[../]
[./c_s_xy]
type = PointValue
point = '0 0 0'
variable = couple_stress_xy
[../]
[./c_s_xz]
type = PointValue
point = '0 0 0'
variable = couple_stress_xz
[../]
[./c_s_yx]
type = PointValue
point = '0 0 0'
variable = couple_stress_yx
[../]
[./c_s_yy]
type = PointValue
point = '0 0 0'
variable = couple_stress_yy
[../]
[./c_s_yz]
type = PointValue
point = '0 0 0'
variable = couple_stress_yz
[../]
[./c_s_zx]
type = PointValue
point = '0 0 0'
variable = couple_stress_zx
[../]
[./c_s_zy]
type = PointValue
point = '0 0 0'
variable = couple_stress_zy
[../]
[./c_s_zz]
type = PointValue
point = '0 0 0'
variable = couple_stress_zz
[../]
[./strainp_xx]
type = PointValue
point = '0 0 0'
variable = strainp_xx
[../]
[./strainp_xy]
type = PointValue
point = '0 0 0'
variable = strainp_xy
[../]
[./strainp_xz]
type = PointValue
point = '0 0 0'
variable = strainp_xz
[../]
[./strainp_yx]
type = PointValue
point = '0 0 0'
variable = strainp_yx
[../]
[./strainp_yy]
type = PointValue
point = '0 0 0'
variable = strainp_yy
[../]
[./strainp_yz]
type = PointValue
point = '0 0 0'
variable = strainp_yz
[../]
[./strainp_zx]
type = PointValue
point = '0 0 0'
variable = strainp_zx
[../]
[./strainp_zy]
type = PointValue
point = '0 0 0'
variable = strainp_zy
[../]
[./strainp_zz]
type = PointValue
point = '0 0 0'
variable = strainp_zz
[../]
[./straint_xx]
type = PointValue
point = '0 0 0'
variable = straint_xx
[../]
[./straint_xy]
type = PointValue
point = '0 0 0'
variable = straint_xy
[../]
[./straint_xz]
type = PointValue
point = '0 0 0'
variable = straint_xz
[../]
[./straint_yx]
type = PointValue
point = '0 0 0'
variable = straint_yx
[../]
[./straint_yy]
type = PointValue
point = '0 0 0'
variable = straint_yy
[../]
[./straint_yz]
type = PointValue
point = '0 0 0'
variable = straint_yz
[../]
[./straint_zx]
type = PointValue
point = '0 0 0'
variable = straint_zx
[../]
[./straint_zy]
type = PointValue
point = '0 0 0'
variable = straint_zy
[../]
[./straint_zz]
type = PointValue
point = '0 0 0'
variable = straint_zz
[../]
[./f_shear]
type = PointValue
point = '0 0 0'
variable = f_shear
[../]
[./f_tensile]
type = PointValue
point = '0 0 0'
variable = f_tensile
[../]
[./f_compressive]
type = PointValue
point = '0 0 0'
variable = f_compressive
[../]
[./intnl_shear]
type = PointValue
point = '0 0 0'
variable = intnl_shear
[../]
[./intnl_tensile]
type = PointValue
point = '0 0 0'
variable = intnl_tensile
[../]
[./iter]
type = PointValue
point = '0 0 0'
variable = iter
[../]
[./ls]
type = PointValue
point = '0 0 0'
variable = ls
[../]
[]
[UserObjects]
[./coh]
type = SolidMechanicsHardeningConstant
value = 30
[../]
[./tanphi]
type = SolidMechanicsHardeningConstant
value = 0.5
[../]
[./tanpsi]
type = SolidMechanicsHardeningConstant
value = 0.1111077
[../]
[./t_strength]
type = SolidMechanicsHardeningConstant
value = 0.024449878
[../]
[./c_strength]
type = SolidMechanicsHardeningConstant
value = 40
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 1.0
poisson = 0.2
layer_thickness = 0.1
joint_normal_stiffness = 0.25
joint_shear_stiffness = 0.2
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
[../]
[./admissible]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = stress
perform_finite_strain_rotations = false
[../]
[./stress]
type = CappedWeakPlaneCosseratStressUpdate
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
tensile_strength = t_strength
compressive_strength = c_strength
tip_smoother = 0
smoothing_tol = 1
yield_function_tol = 1E-5
[../]
[]
[Executioner]
nl_abs_tol = 1E-14
end_time = 3
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform_cosserat1
csv = true
[]
(modules/solid_mechanics/test/tests/jacobian/cdp_cwp_coss02.i)
#Cosserat capped weak plane and capped drucker prager, coming back to a mix of shear and tensile failure in both
[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'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[./wc_y]
[../]
[]
[Kernels]
[./cx_elastic]
type = CosseratStressDivergenceTensors
variable = disp_x
component = 0
[../]
[./cy_elastic]
type = CosseratStressDivergenceTensors
variable = disp_y
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
variable = disp_z
component = 2
[../]
[./x_couple]
type = StressDivergenceTensors
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[../]
[./y_couple]
type = StressDivergenceTensors
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[]
[AuxVariables]
[./wc_z]
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./phi]
type = SolidMechanicsHardeningConstant
value = 0.8
[../]
[./psi]
type = SolidMechanicsHardeningConstant
value = 0.4
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPragerHyperbolic
mc_cohesion = mc_coh
mc_friction_angle = phi
mc_dilation_angle = psi
yield_function_tolerance = 1E-11 # irrelevant here
internal_constraint_tolerance = 1E-9 # irrelevant here
[../]
[./coh]
type = SolidMechanicsHardeningConstant
value = 2
[../]
[./tanphi]
type = SolidMechanicsHardeningConstant
value = 0.5
[../]
[./tanpsi]
type = SolidMechanicsHardeningConstant
value = 2.055555555556E-01
[../]
[./t_strength]
type = SolidMechanicsHardeningConstant
value = 1
[../]
[./c_strength]
type = SolidMechanicsHardeningConstant
value = 100
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 10.0
poisson = 0.25
layer_thickness = 10.0
joint_normal_stiffness = 2.5
joint_shear_stiffness = 2.0
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '1 0.1 0 0.1 2 0 11 12 10' # note unsymmetric
eigenstrain_name = ini_stress
[../]
[./admissible]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = 'dp wp'
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
[../]
[./dp]
type = CappedDruckerPragerCosseratStressUpdate
host_youngs_modulus = 10.0
host_poissons_ratio = 0.25
base_name = dp
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-11
tip_smoother = 1
smoothing_tol = 1
[../]
[./wp]
type = CappedWeakPlaneCosseratStressUpdate
base_name = wp
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
tensile_strength = t_strength
compressive_strength = c_strength
tip_smoother = 0.1
smoothing_tol = 0.1
yield_function_tol = 1E-11
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
#petsc_options = '-snes_test_display'
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[../]
[]
[Executioner]
solve_type = 'NEWTON'
end_time = 1
dt = 1
type = Transient
[]
(modules/solid_mechanics/test/tests/jacobian/cdp_cwp_coss01.i)
#Cosserat capped weak plane and capped drucker prager
[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'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[./wc_y]
[../]
[]
[Kernels]
[./cx_elastic]
type = CosseratStressDivergenceTensors
variable = disp_x
component = 0
[../]
[./cy_elastic]
type = CosseratStressDivergenceTensors
variable = disp_y
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
variable = disp_z
component = 2
[../]
[./x_couple]
type = StressDivergenceTensors
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[../]
[./y_couple]
type = StressDivergenceTensors
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[]
[AuxVariables]
[./wc_z]
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./mc_coh]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./phi]
type = SolidMechanicsHardeningConstant
value = 0.8
[../]
[./psi]
type = SolidMechanicsHardeningConstant
value = 0.4
[../]
[./dp]
type = SolidMechanicsPlasticDruckerPragerHyperbolic
mc_cohesion = mc_coh
mc_friction_angle = phi
mc_dilation_angle = psi
yield_function_tolerance = 1E-11 # irrelevant here
internal_constraint_tolerance = 1E-9 # irrelevant here
[../]
[./coh]
type = SolidMechanicsHardeningConstant
value = 2
[../]
[./tanphi]
type = SolidMechanicsHardeningConstant
value = 0.5
[../]
[./tanpsi]
type = SolidMechanicsHardeningConstant
value = 2.055555555556E-01
[../]
[./t_strength]
type = SolidMechanicsHardeningConstant
value = 1
[../]
[./c_strength]
type = SolidMechanicsHardeningConstant
value = 100
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 10.0
poisson = 0.25
layer_thickness = 10.0
joint_normal_stiffness = 2.5
joint_shear_stiffness = 2.0
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '10 0 0 0 10 0 0 0 10'
eigenstrain_name = ini_stress
[../]
[./admissible]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = 'dp wp'
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
[../]
[./dp]
type = CappedDruckerPragerCosseratStressUpdate
host_youngs_modulus = 10.0
host_poissons_ratio = 0.25
base_name = dp
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-11
tip_smoother = 1
smoothing_tol = 1
[../]
[./wp]
type = CappedWeakPlaneCosseratStressUpdate
base_name = wp
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
tensile_strength = t_strength
compressive_strength = c_strength
tip_smoother = 0.1
smoothing_tol = 0.1
yield_function_tol = 1E-11
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
#petsc_options = '-snes_test_display'
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[../]
[]
[Executioner]
solve_type = 'NEWTON'
end_time = 1
dt = 1
type = Transient
[]