- componentAn integer corresponding to the direction the variable this kernel acts in. (0 for x, 1 for y, 2 for z)
C++ Type:unsigned int
Controllable:No
Description:An integer corresponding to the direction the variable this kernel acts in. (0 for x, 1 for y, 2 for z)
- displacementsThe string of displacements suitable for the problem statement
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The string of displacements suitable for the problem statement
- variableThe name of the variable that this residual object operates on
C++ Type:NonlinearVariableName
Unit:(no unit assumed)
Controllable:No
Description:The name of the variable that this residual object operates on
Stress Divergence Tensors
Stress divergence kernel for the Cartesian coordinate system
Description
The StressDivergenceTensors kernel calculates the residual of the stress divergence for 1D, 2D, and 3D problems in the Cartesian coordinate system. This kernel can be automatically created with the Solid Mechanics Physics. Use of the tensor mechanics quasi-static physics is recommended to ensure the consistent setting of the _use_displaced_mesh_ parameter for the strain formulation selected. For a detailed explanation of the settings for _use_displaced_mesh_ in mechanics problems and the Solid Mechanics Physics usage, see the Introduction/StressDivergence page.
Residual Calculation
The stress divergence kernel handles the calculation of the residual, , from the governing equation and the calculation of the Jacobian. From the strong form of the governing equation for mechanics, neglecting body forces, the weak form, using Galerkin's method and the Gauss divergence theorem, becomes in which is the test function. The second term of the weak form equation is the residual contribution calculated by the stress divergence kernel.
The calculation of the Jacobian can be approximated with the elasticity tensor if the simulation solve type is JFNK:
which is nonzero for .
If the solve type for the simulation is set to NEWTON the finite deformation Jacobian will need to be calculated. Set the parameter use_finite_deform_jacobian = true in this case.
commentnote:Use of the Solid Mechanics QuasiStatic Physics Recommended
The use_displaced_mesh parameter must be set correcting to ensure consistency in the equilibrium equation: if the stress is calculated with respect to the deformed mesh, the test function gradients must also be calculated with respect to the deformed mesh. The Solid Mechanics QuasiStatic Physics is designed to automatically determine and set the parameter correctly for the selected strain formulation. We recommend that users employ the Solid Mechanics QuasiStatic Physics whenever possible to ensure consistency between the test function gradients and the strain formulation selected.
Use with Planar Models
When used with 2D planar models (plane stress, plane strain, or generalized plane strain), it is used to compute the residuals for the in-plane response. In all of these cases, it assumed that the out-of-plane thickness is 1, and the computation of the in-plane residuals is identical to that for the 3D case.
The only exception to this is the plane stress case with finite deformation, because the out-of-plane thickness change can be significant, and in general is not spatially uniform, so local thickness changes must be accounted for. In this case, the standard residual is multiplied by the modified thickness, , which is computed from the logarithmic out of plane strain as: This correction is made for 2D planar models when the deformed mesh is used by setting use_displaced_mesh = true and out_of_plane_strain is specified.
Example Input File syntax
The Cartesian StressDivergenceTensors is the default case for the tensor mechanics quasi-static physics
[Physics<<<{"href": "../../syntax/Physics/index.html"}>>>]
[SolidMechanics<<<{"href": "../../syntax/Physics/SolidMechanics/index.html"}>>>]
[QuasiStatic<<<{"href": "../../syntax/Physics/SolidMechanics/QuasiStatic/index.html"}>>>]
[./all]
strain<<<{"description": "Strain formulation"}>>> = FINITE
add_variables<<<{"description": "Add the displacement variables"}>>> = true
[../]
[../]
[../]
[]Either 1, 2, or 3 displacement variables can be used in the stress divergence calculator for the Cartesian system.
Input Parameters
- base_nameMaterial property base name
C++ Type:std::string
Controllable:No
Description:Material property base name
- 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
- coupled_variablesVector of nonlinear variable arguments this object depends on
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Vector of nonlinear variable arguments this object depends on
- eigenstrain_namesList of eigenstrains used in the strain calculation. Used for computing their derivatives for off-diagonal Jacobian terms.
C++ Type:std::vector<MaterialPropertyName>
Unit:(no unit assumed)
Controllable:No
Description:List of eigenstrains used in the strain calculation. Used for computing their derivatives for off-diagonal Jacobian terms.
- matrix_onlyFalseWhether this object is only doing assembly to matrices (no vectors)
Default:False
C++ Type:bool
Controllable:No
Description:Whether this object is only doing assembly to matrices (no vectors)
- out_of_plane_directionzThe direction of the out_of_plane_strain variable used in the WeakPlaneStress kernel.
Default:z
C++ Type:MooseEnum
Options:x, y, z
Controllable:No
Description:The direction of the out_of_plane_strain variable used in the WeakPlaneStress kernel.
- out_of_plane_strainThe name of the out_of_plane_strain variable used in the WeakPlaneStress kernel.
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of the out_of_plane_strain variable used in the WeakPlaneStress kernel.
- temperatureThe name of the temperature variable used in the ComputeThermalExpansionEigenstrain. (Not required for simulations without temperature coupling.)
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of the temperature variable used in the ComputeThermalExpansionEigenstrain. (Not required for simulations without temperature coupling.)
- use_finite_deform_jacobianFalseJacobian for corotational finite strain
Default:False
C++ Type:bool
Controllable:No
Description:Jacobian for corotational finite strain
- volumetric_locking_correctionFalseSet to false to turn off volumetric locking correction
Default:False
C++ Type:bool
Controllable:No
Description:Set to false to turn off volumetric locking correction
Optional Parameters
- absolute_value_vector_tagsThe tags for the vectors this residual object should fill with the absolute value of the residual contribution
C++ Type:std::vector<TagName>
Controllable:No
Description:The tags for the vectors this residual object should fill with the absolute value of the residual contribution
- extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the matrices this Kernel should fill
- extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector<TagName>
Controllable:No
Description:The extra tags for the vectors this Kernel should fill
- matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Options:nontime, system
Controllable:No
Description:The tag for the matrices this Kernel should fill
- vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Options:nontime, time
Controllable:No
Description:The tag for the vectors this Kernel should fill
Contribution To Tagged Field Data 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.
- diag_save_inThe name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
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
- save_inThe name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector<AuxVariableName>
Unit:(no unit assumed)
Controllable:No
Description:The name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
- 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
- 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
- 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
The stress divergence family of automatic differentiation kernels
ADStressDivergenceTensors - Stress divergence kernel for Cartesian coordinates
Problem/coord_type=XYZ(default)ADStressDivergenceRZTensors - Stress divergence kernel for 2D cylindrical coordinates
Problem/coord_type=RZADStressDivergenceRSphericalTensors - Stress divergence kernel for 1D spherical coordinates
Problem/coord_type=RSPHERICAL
Input Files
- (modules/combined/test/tests/poro_mechanics/unconsolidated_undrained.i)
- (modules/solid_mechanics/test/tests/static_deformations/beam_cosserat_01_slippery.i)
- (modules/solid_mechanics/examples/coal_mining/cosserat_mc_wp.i)
- (modules/solid_mechanics/test/tests/jacobian/cwpc01.i)
- (modules/solid_mechanics/test/tests/jacobian/mc_update21_cosserat.i)
- (modules/solid_mechanics/test/tests/ad_elastic/finite_elastic-noad.i)
- (modules/solid_mechanics/test/tests/jacobian/cosserat02.i)
- (modules/solid_mechanics/examples/coal_mining/coarse.i)
- (modules/combined/test/tests/poro_mechanics/selected_qp.i)
- (modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain_esm.i)
- (modules/combined/test/tests/poro_mechanics/pp_generation_unconfined.i)
- (modules/solid_mechanics/test/tests/jacobian/cdpc01.i)
- (modules/solid_mechanics/test/tests/jacobian/cosserat04.i)
- (modules/porous_flow/test/tests/jacobian/desorped_mass01.i)
- (modules/solid_mechanics/test/tests/jacobian/cosserat05.i)
- (modules/solid_mechanics/examples/coal_mining/cosserat_mc_wp_sticky_longitudinal.i)
- (modules/porous_flow/test/tests/jacobian/mass_vol_exp02.i)
- (modules/solid_mechanics/test/tests/stress_recovery/patch/patch.i)
- (modules/combined/test/tests/poro_mechanics/terzaghi.i)
- (modules/solid_mechanics/examples/coal_mining/fine.i)
- (modules/porous_flow/test/tests/jacobian/fflux08.i)
- (modules/porous_flow/test/tests/energy_conservation/heat05.i)
- (modules/porous_flow/test/tests/mass_conservation/mass11.i)
- (modules/porous_flow/examples/coal_mining/fine_with_fluid.i)
- (modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform9_cosserat.i)
- (modules/solid_mechanics/test/tests/jacobian/mc_update34_cosserat.i)
- (modules/solid_mechanics/test/tests/jacobian/cdp_cwp_coss02.i)
- (modules/porous_flow/test/tests/jacobian/mass_vol_exp03.i)
- (modules/porous_flow/test/tests/jacobian/mass_vol_exp01.i)
- (modules/solid_mechanics/test/tests/static_deformations/layered_cosserat_01.i)
- (modules/combined/test/tests/poro_mechanics/borehole_highres.i)
- (modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined.i)
- (modules/solid_mechanics/examples/coal_mining/cosserat_elastic.i)
- (modules/solid_mechanics/test/tests/static_deformations/cosserat_glide.i)
- (modules/solid_mechanics/test/tests/modal_analysis/modal.i)
- (modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat3.i)
- (modules/solid_mechanics/examples/coal_mining/cosserat_mc_wp_sticky.i)
- (modules/porous_flow/test/tests/mass_conservation/mass04.i)
- (modules/solid_mechanics/test/tests/jacobian/thermal_coupling.i)
- (modules/porous_flow/test/tests/energy_conservation/heat04.i)
- (modules/porous_flow/test/tests/poro_elasticity/terzaghi_fully_saturated_volume.i)
- (modules/combined/test/tests/poro_mechanics/undrained_oedometer.i)
- (modules/porous_flow/test/tests/jacobian/denergy03.i)
- (modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined_fully_saturated.i)
- (modules/porous_flow/test/tests/jacobian/heat_vol_exp01.i)
- (modules/porous_flow/test/tests/poro_elasticity/mandel.i)
- (modules/solid_mechanics/test/tests/jacobian/cwpc02.i)
- (modules/porous_flow/test/tests/poro_elasticity/mandel_fully_saturated_volume.i)
- (modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat1.i)
- (modules/solid_mechanics/test/tests/jacobian/mc_update33_cosserat.i)
- (modules/porous_flow/test/tests/jacobian/mass10.i)
- (modules/porous_flow/test/tests/poro_elasticity/terzaghi_constM.i)
- (modules/solid_mechanics/test/tests/static_deformations/beam_cosserat_02_apply_disps.i)
- (modules/porous_flow/examples/coal_mining/coarse_with_fluid.i)
- (modules/solid_mechanics/test/tests/jacobian/mc_update8_cosserat.i)
- (modules/solid_mechanics/test/tests/jacobian/mc_update1_cosserat.i)
- (modules/solid_mechanics/examples/coal_mining/cosserat_mc_only.i)
- (modules/porous_flow/test/tests/poro_elasticity/mandel_fully_saturated.i)
- (modules/solid_mechanics/test/tests/static_deformations/beam_cosserat_02_apply_stress.i)
- (modules/solid_mechanics/test/tests/jacobian/cto29.i)
- (modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain.i)
- (modules/solid_mechanics/test/tests/static_deformations/cosserat_tension.i)
- (modules/solid_mechanics/test/tests/jacobian/coss_elastic.i)
- (modules/solid_mechanics/test/tests/jacobian/mc_update18_cosserat.i)
- (modules/porous_flow/test/tests/jacobian/mass08.i)
- (modules/solid_mechanics/examples/wave_propagation/1D_elastic_wave_propagation.i)
- (modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat4.i)
- (modules/porous_flow/test/tests/poro_elasticity/undrained_oedometer.i)
- (modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform1_cosserat.i)
- (modules/porous_flow/test/tests/jacobian/mass01_fully_saturated.i)
- (modules/porous_flow/test/tests/jacobian/desorped_mass_vol_exp01.i)
- (modules/solid_mechanics/test/tests/jacobian/mc_update23_cosserat.i)
- (modules/solid_mechanics/test/tests/jacobian/cdp_cwp_coss01.i)
- (modules/solid_mechanics/test/tests/static_deformations/cosserat_glide_fake_plastic.i)
- (modules/combined/test/tests/poro_mechanics/borehole_lowres.i)
- (modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined_constM.i)
- (modules/solid_mechanics/test/tests/static_deformations/layered_cosserat_02.i)
- (modules/porous_flow/test/tests/poro_elasticity/mandel_constM.i)
- (modules/solid_mechanics/test/tests/capped_weak_plane/small_deform_cosserat2.i)
- (modules/solid_mechanics/test/tests/static_deformations/beam_cosserat_01.i)
- (modules/solid_mechanics/test/tests/static_deformations/cosserat_shear.i)
- (modules/porous_flow/test/tests/jacobian/denergy05.i)
- (modules/combined/test/tests/poro_mechanics/mandel.i)
- (modules/porous_flow/test/tests/poro_elasticity/pp_generation.i)
- (modules/solid_mechanics/test/tests/static_deformations/layered_cosserat_03.i)
- (modules/porous_flow/test/tests/jacobian/denergy02.i)
- (modules/solid_mechanics/test/tests/jacobian/cdpc02.i)
- (modules/solid_mechanics/test/tests/homogenization/anisoShortFiber.i)
- (modules/solid_mechanics/test/tests/stress_recovery/stress_concentration/stress_concentration.i)
- (modules/porous_flow/test/tests/poro_elasticity/terzaghi.i)
- (modules/solid_mechanics/examples/coal_mining/cosserat_wp_only.i)
- (modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined_fully_saturated_volume.i)
- (modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain_esm_using_cut_mesh.i)
- (modules/solid_mechanics/test/tests/ad_elastic/incremental_small_elastic-noad.i)
- (modules/solid_mechanics/test/tests/stress_recovery/patch/patch_finite_stress.i)
- (modules/solid_mechanics/test/tests/jacobian/poro01.i)
- (modules/solid_mechanics/test/tests/jacobian/cosserat06.i)
- (modules/porous_flow/examples/tutorial/11.i)
- (modules/combined/test/tests/poro_mechanics/jacobian1.i)
- (modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_weak_plane_stress_jacobian.i)
- (modules/porous_flow/test/tests/energy_conservation/heat03.i)
- (modules/solid_mechanics/test/tests/jacobian/cosserat03.i)
- (modules/porous_flow/test/tests/jacobian/denergy04.i)
- (modules/solid_mechanics/test/tests/truss/truss_hex.i)
- (modules/solid_mechanics/test/tests/jacobian/mc_update22_cosserat.i)
- (modules/solid_mechanics/test/tests/jacobian/mc_update24_cosserat.i)
- (modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain_cut_mesh.i)
- (modules/solid_mechanics/test/tests/homogenization/anisoLongFiber.i)
- (modules/porous_flow/test/tests/jacobian/mass10_nodens.i)
- (modules/solid_mechanics/test/tests/jacobian/cto28.i)
- (modules/combined/test/tests/poro_mechanics/pp_generation.i)
Child Objects
(modules/solid_mechanics/test/tests/finite_strain_elastic/finite_strain_elastic_new_test.i)
[Mesh]
type = GeneratedMesh
dim = 3
elem_type = HEX8
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Functions]
[./tdisp]
type = ParsedFunction
expression = '0.01 * t'
[../]
[]
[Physics]
[SolidMechanics]
[QuasiStatic]
[./all]
strain = FINITE
add_variables = true
[../]
[../]
[../]
[]
[BCs]
[./symmy]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0
[../]
[./symmx]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[../]
[./symmz]
type = DirichletBC
variable = disp_z
boundary = back
value = 0
[../]
[./tdisp]
type = FunctionDirichletBC
variable = disp_z
boundary = front
function = tdisp
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1.684e5 0.176e5 0.176e5 1.684e5 0.176e5 1.684e5 0.754e5 0.754e5 0.754e5'
fill_method = symmetric9
[../]
[./stress]
type = ComputeFiniteStrainElasticStress
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
dt = 0.05
#Preconditioned JFNK (default)
solve_type = 'PJFNK'
petsc_options_iname = -pc_hypre_type
petsc_options_value = boomeramg
nl_abs_tol = 1e-10
nl_rel_step_tol = 1e-10
dtmax = 10.0
nl_rel_tol = 1e-10
end_time = 1
dtmin = 0.05
num_steps = 10
nl_abs_step_tol = 1e-10
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/poro_mechanics/unconsolidated_undrained.i)
# An unconsolidated-undrained test is performed.
# A sample's boundaries are impermeable. The sample is
# squeezed by a uniform mechanical pressure, and the
# rise in porepressure is observed.
#
# Expect:
# volumetricstrain = -MechanicalPressure/UndrainedBulk
# porepressure = SkemptonCoefficient*MechanicalPressure
# stress_zz = -MechanicalPresure + BiotCoefficient*porepressure
#
# Parameters:
# Biot coefficient = 0.3
# Porosity = 0.1
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 1/0.3 = 3.333333
# 1/Biot modulus = (1 - 0.3)*(0.3 - 0.1)/2 + 0.1*0.3 = 0.1. BiotModulus = 10
# Undrained Bulk modulus = 2 + 0.3^2*10 = 2.9
# Skempton coefficient = 0.3*10/2.9 = 1.034483
#
# The mechanical pressure is applied using Neumann BCs,
# since the Neumann BCs are setting stressTOTAL.
#
# MechanicalPressure = 0.1*t (ie, totalstress_zz = total_stress_xx = totalstress_yy = -0.1*t)
#
# Expect:
# disp_z = volumetricstrain/3 = -MechanicalPressure/3/2.9 = -0.1149*0.1*t
# prorepressure = 1.034483*0.1*t
# stress_zz = -0.1*t + 0.3*1.034483*0.1*t = -0.68966*0.1*t
[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'
porepressure = porepressure
block = 0
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./porepressure]
[../]
[]
[BCs]
[./pressure_x]
type = FunctionNeumannBC
variable = disp_x
function = -0.1*t
boundary = 'right'
[../]
[./pressure_y]
type = FunctionNeumannBC
variable = disp_y
function = -0.1*t
boundary = 'top'
[../]
[./pressure_z]
type = FunctionNeumannBC
variable = disp_z
function = -0.1*t
boundary = 'front'
[../]
[./confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left'
[../]
[./confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom'
[../]
[./confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back'
[../]
[]
[Kernels]
[./grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[../]
[./grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[../]
[./grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[../]
[./poro_x]
type = PoroMechanicsCoupling
variable = disp_x
component = 0
[../]
[./poro_y]
type = PoroMechanicsCoupling
variable = disp_y
component = 1
[../]
[./poro_z]
type = PoroMechanicsCoupling
variable = disp_z
component = 2
[../]
[./poro_timederiv]
type = PoroFullSatTimeDerivative
variable = porepressure
[../]
[]
[AuxVariables]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
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_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_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[../]
[./strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./poro_material]
type = PoroFullSatMaterial
porosity0 = 0.1
biot_coefficient = 0.3
solid_bulk_compliance = 0.5
fluid_bulk_compliance = 0.3
constant_porosity = true
[../]
[]
[Postprocessors]
[./p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[../]
[./zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[../]
[./stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[../]
[./stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[../]
[./stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = unconsolidated_undrained
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/test/tests/static_deformations/beam_cosserat_01_slippery.i)
# Beam bending. One end is clamped and the other end is subjected to
# a constant surface traction.
# The beam thickness is 1, and the Cosserat layer thickness is 0.5,
# so the beam contains 2 Cosserat layers.
# The joint normal stiffness is set very large and the shear stiffness very small
# so that the situation should be very close to a single beam of thickness
# 0.5.
# The deflection should be described by
# u_z = 2sx/G + 2s(1-nu^2)x^2(3L-x)/(Eh^2)
# wc_y = sx(x-2L)/(2B)
# Here
# s = applied shear stress = -2E-4
# x = coordinate along bar (0<=x<=10)
# G = shear modulus = E/2/(1+nu) = 0.4615
# nu = Poisson = 0.3
# L = length of bar = 10
# E = Young = 1.2
# h = Cosserat layer thickness = 0.5
[Mesh]
type = GeneratedMesh
dim = 3
nx = 80
xmax = 10
ny = 1
nz = 1
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_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
[../]
[./y_couple]
type = StressDivergenceTensors
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[]
[BCs]
# zmin is called back
# zmax is called front
# ymin is called bottom
# ymax is called top
# xmin is called left
# xmax is called right
[./no_dispy]
type = DirichletBC
variable = disp_y
boundary = 'bottom top'
value = 0.0
[../]
[./no_wc_y]
type = DirichletBC
variable = wc_y
boundary = 'left'
value = 0.0
[../]
[./clamp_z]
type = DirichletBC
variable = disp_z
boundary = left
value = 0.0
[../]
[./clamp_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[../]
[./end_traction]
type = VectorNeumannBC
variable = disp_z
vector_value = '-2E-4 0 0'
boundary = right
[../]
[]
[AuxVariables]
[./wc_x]
[../]
[./wc_z]
[../]
[./strain_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_xz]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_yx]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_yz]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_zx]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_zy]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_zz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zz]
family = MONOMIAL
order = CONSTANT
[../]
[./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
[../]
[]
[AuxKernels]
[./strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xx
index_i = 0
index_j = 0
[../]
[./strain_xy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xy
index_i = 0
index_j = 1
[../]
[./strain_xz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xz
index_i = 0
index_j = 2
[../]
[./strain_yx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_yx
index_i = 1
index_j = 0
[../]
[./strain_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_yy
index_i = 1
index_j = 1
[../]
[./strain_yz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_yz
index_i = 1
index_j = 2
[../]
[./strain_zx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_zx
index_i = 2
index_j = 0
[../]
[./strain_zy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_zy
index_i = 2
index_j = 1
[../]
[./strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_zz
index_i = 2
index_j = 2
[../]
[./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
[../]
[]
[VectorPostprocessors]
[./soln]
type = LineValueSampler
warn_discontinuous_face_values = false
sort_by = x
variable = 'disp_x disp_z stress_xx stress_xz stress_zx stress_zz wc_y couple_stress_xx couple_stress_xz couple_stress_zx couple_stress_zz'
start_point = '0 0 0'
end_point = '10 0 0'
num_points = 11
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 1.2
poisson = 0.3
layer_thickness = 0.5
joint_normal_stiffness = 1E16
joint_shear_stiffness = 1E-6
[../]
[./strain]
type = ComputeCosseratSmallStrain
[../]
[./stress]
type = ComputeCosseratLinearElasticStress
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol -sub_pc_factor_shift_type'
petsc_options_value = 'gmres asm lu 1E-10 1E-14 10 1E-15 1E-10 NONZERO'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
num_steps = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = beam_cosserat_01_slippery
csv = true
exodus = 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/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/solid_mechanics/test/tests/jacobian/mc_update21_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Shear failure, starting from a symmetric stress state
[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 = 1E6
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E6
[../]
[./coh]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./phi]
type = SolidMechanicsHardeningConstant
value = 60
convert_to_radians = true
[../]
[./psi]
type = SolidMechanicsHardeningConstant
value = 5
convert_to_radians = true
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 1
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 2.0
joint_shear_stiffness = 1.0
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '3 0 0 0 3 0 0 0 1.5'
eigenstrain_name = ini_stress
[../]
[./cmc]
type = CappedMohrCoulombCosseratStressUpdate
host_youngs_modulus = 1
host_poissons_ratio = 0.25
tensile_strength = ts
compressive_strength = cs
cohesion = coh
friction_angle = phi
dilation_angle = psi
smoothing_tol = 1
yield_function_tol = 1.0E-12
[../]
[./stress]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = cmc
perform_finite_strain_rotations = false
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-snes_type'
petsc_options_value = 'test'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
[]
(modules/solid_mechanics/test/tests/ad_elastic/finite_elastic-noad.i)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 3
ny = 3
nz = 3
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
# scale with one over Young's modulus
[./disp_x]
scaling = 1e-10
[../]
[./disp_y]
scaling = 1e-10
[../]
[./disp_z]
scaling = 1e-10
[../]
[]
[Kernels]
[./stress_x]
type = StressDivergenceTensors
component = 0
variable = disp_x
use_displaced_mesh = true
[../]
[./stress_y]
type = StressDivergenceTensors
component = 1
variable = disp_y
use_displaced_mesh = true
[../]
[./stress_z]
type = StressDivergenceTensors
component = 2
variable = disp_z
use_displaced_mesh = true
[../]
[]
[BCs]
[./symmy]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0
[../]
[./symmx]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[../]
[./symmz]
type = DirichletBC
variable = disp_z
boundary = back
value = 0
[../]
[./tdisp]
type = DirichletBC
variable = disp_z
boundary = front
value = 0.1
[../]
[]
[Materials]
[./elasticity]
type = ComputeIsotropicElasticityTensor
poissons_ratio = 0.3
youngs_modulus = 1e10
[../]
[./strain]
type = ComputeFiniteStrain
[../]
[./stress]
type = ComputeFiniteStrainElasticStress
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
dt = 0.05
solve_type = 'NEWTON'
petsc_options_iname = -pc_hypre_type
petsc_options_value = boomeramg
dtmin = 0.05
num_steps = 1
[]
[Outputs]
exodus = true
file_base = finite_elastic_out
[]
(modules/solid_mechanics/test/tests/jacobian/cosserat02.i)
[Mesh]
type = GeneratedMesh
dim = 3
[]
[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]
[../]
[./wc_z]
[../]
[]
[Kernels]
active = 'cx_elastic cy_elastic cz_elastic x_couple y_couple z_couple x_moment y_moment z_moment'
[./cx_elastic]
type = CosseratStressDivergenceTensors
displacements = 'disp_x disp_y disp_z'
variable = disp_x
component = 0
[../]
[./cy_elastic]
type = CosseratStressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y 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
component = 1
displacements = 'wc_x wc_y wc_z'
base_name = couple
[../]
[./z_couple]
type = StressDivergenceTensors
variable = wc_z
component = 2
displacements = 'wc_x wc_y wc_z'
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[./z_moment]
type = MomentBalancing
variable = wc_z
component = 2
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeCosseratElasticityTensor
B_ijkl = '1.3 0.98 1.4'
fill_method_bending = 'general_isotropic'
E_ijkl = '1 2 1.333'
fill_method = 'general_isotropic'
[../]
[./strain]
type = ComputeCosseratSmallStrain
[../]
[./stress]
type = ComputeCosseratLinearElasticStress
[../]
[]
[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]
type = Transient
solve_type = Newton
[]
(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/combined/test/tests/poro_mechanics/selected_qp.i)
# A sample is unconstrained and its boundaries are
# also impermeable. Fluid is pumped into the sample via specifying
# the porepressure at all points, and the
# mean stress is monitored at quadpoints in the sample
# This is just to check that the selected_qp in RankTwoScalarAux is working
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
porepressure = porepressure
block = 0
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./porepressure]
[../]
[]
[BCs]
[./pbdy]
type = FunctionDirichletBC
variable = porepressure
function = 'x*t'
boundary = 'left right'
[../]
[]
[Kernels]
[./grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[../]
[./grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[../]
[./grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[../]
[./poro_x]
type = PoroMechanicsCoupling
variable = disp_x
component = 0
[../]
[./poro_y]
type = PoroMechanicsCoupling
variable = disp_y
component = 1
[../]
[./poro_z]
type = PoroMechanicsCoupling
variable = disp_z
component = 2
[../]
[./poro_timederiv]
type = PoroFullSatTimeDerivative
variable = porepressure
[../]
[]
[AuxVariables]
[./mean_stress0]
order = CONSTANT
family = MONOMIAL
[../]
[./mean_stress1]
order = CONSTANT
family = MONOMIAL
[../]
[./mean_stress2]
order = CONSTANT
family = MONOMIAL
[../]
[./mean_stress3]
order = CONSTANT
family = MONOMIAL
[../]
[./mean_stress4]
order = CONSTANT
family = MONOMIAL
[../]
[./mean_stress5]
order = CONSTANT
family = MONOMIAL
[../]
[./mean_stress6]
order = CONSTANT
family = MONOMIAL
[../]
[./mean_stress7]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./mean_stress0]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = mean_stress0
scalar_type = Hydrostatic
selected_qp = 0
[../]
[./mean_stress1]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = mean_stress1
scalar_type = Hydrostatic
selected_qp = 1
[../]
[./mean_stress2]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = mean_stress2
scalar_type = Hydrostatic
selected_qp = 2
[../]
[./mean_stress3]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = mean_stress3
scalar_type = Hydrostatic
selected_qp = 3
[../]
[./mean_stress4]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = mean_stress4
scalar_type = Hydrostatic
selected_qp = 4
[../]
[./mean_stress5]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = mean_stress5
scalar_type = Hydrostatic
selected_qp = 5
[../]
[./mean_stress6]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = mean_stress6
scalar_type = Hydrostatic
selected_qp = 6
[../]
[./mean_stress7]
type = RankTwoScalarAux
rank_two_tensor = stress
variable = mean_stress7
scalar_type = Hydrostatic
selected_qp = 7
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.0 1.0'
fill_method = symmetric_isotropic
[../]
[./strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./poro_material]
type = PoroFullSatMaterial
porosity0 = 0.1
biot_coefficient = 1.0
solid_bulk_compliance = 0.5
fluid_bulk_compliance = 0.3
constant_porosity = false
[../]
[]
[Postprocessors]
[./mean0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = mean_stress0
[../]
[./mean1]
type = PointValue
outputs = csv
point = '0 0 0'
variable = mean_stress1
[../]
[./mean2]
type = PointValue
outputs = csv
point = '0 0 0'
variable = mean_stress2
[../]
[./mean3]
type = PointValue
outputs = csv
point = '0 0 0'
variable = mean_stress3
[../]
[./mean4]
type = PointValue
outputs = csv
point = '0 0 0'
variable = mean_stress4
[../]
[./mean5]
type = PointValue
outputs = csv
point = '0 0 0'
variable = mean_stress5
[../]
[./mean6]
type = PointValue
outputs = csv
point = '0 0 0'
variable = mean_stress6
[../]
[./mean7]
type = PointValue
outputs = csv
point = '0 0 0'
variable = mean_stress7
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -sub_pc_factor_shift_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'gmres asm lu NONZERO 1E-14 1E-10 10000'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 1
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
exodus = false
file_base = selected_qp
[./csv]
type = CSV
[../]
[]
(modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain_esm.i)
# This test is for two layer materials with different youngs modulus with AD
# The global stress is determined by switching the stress based on level set values
# The material interface is marked by a level set function
# The two layer materials are glued together
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[XFEM]
output_cut_plane = true
[]
[UserObjects]
[level_set_cut_uo]
type = LevelSetCutUserObject
level_set_var = ls
heal_always = true
[]
[esm]
type = CutElementSubdomainModifier
geometric_cut_userobject = level_set_cut_uo
reinitialize_subdomains = '' #no reinitialization of variables or material properties
skip_restore_subdomain_changes = true
[]
[]
[Mesh]
use_displaced_mesh = true
[generated_mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmin = 0
xmax = 5
ymin = 0
ymax = 5
elem_type = QUAD4
[]
[bottom]
type = SubdomainBoundingBoxGenerator
input = generated_mesh
block_id = 0
bottom_left = '0 0 0'
top_right = '5 2.5 0'
[]
[top]
type = SubdomainBoundingBoxGenerator
input = bottom
block_id = 1
bottom_left = '0 2.5 0'
top_right = '5 5 0'
[]
[]
[Functions]
[ls_func]
type = ParsedFunction
expression = 'y-2.73+t'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[ls]
[]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[ls_function]
type = FunctionAux
variable = ls
function = ls_func
[]
[strain_xx]
type = RankTwoAux
variable = strain_xx
rank_two_tensor = total_strain
index_i = 0
index_j = 0
[]
[strain_yy]
type = RankTwoAux
variable = strain_yy
rank_two_tensor = total_strain
index_i = 1
index_j = 1
[]
[strain_xy]
type = RankTwoAux
variable = strain_xy
rank_two_tensor = total_strain
index_i = 0
index_j = 1
[]
[stress_xx]
type = RankTwoAux
variable = stress_xx
rank_two_tensor = stress
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
variable = stress_xy
rank_two_tensor = stress
index_i = 0
index_j = 1
[]
[stress_yy]
type = RankTwoAux
variable = stress_yy
rank_two_tensor = stress
index_i = 1
index_j = 1
[]
[]
[Kernels]
[solid_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
use_displaced_mesh = true
[]
[solid_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
use_displaced_mesh = true
[]
[]
[Constraints]
[dispx_constraint]
type = XFEMSingleVariableConstraint
use_displaced_mesh = false
variable = disp_x
alpha = 1e8
geometric_cut_userobject = 'level_set_cut_uo'
[]
[dispy_constraint]
type = XFEMSingleVariableConstraint
use_displaced_mesh = false
variable = disp_y
alpha = 1e8
geometric_cut_userobject = 'level_set_cut_uo'
[]
[]
[BCs]
[bottomx]
type = DirichletBC
boundary = bottom
variable = disp_x
value = 0.0
[]
[bottomy]
type = DirichletBC
boundary = bottom
variable = disp_y
value = 0.0
[]
[topx]
type = FunctionDirichletBC
boundary = top
variable = disp_x
function = 0.03*t
[]
[topy]
type = FunctionDirichletBC
boundary = top
variable = disp_y
function = '0.03*t'
[]
[]
[Materials]
[elasticity_tensor_A]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 1e9
poissons_ratio = 0.3
[]
[strain_A]
type = ComputeFiniteStrain
block = 1
[]
[stress_A]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[elasticity_tensor_B]
type = ComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 1e7
poissons_ratio = 0.3
[]
[strain_B]
type = ComputeFiniteStrain
block = 0
[]
[stress_B]
type = ComputeFiniteStrainElasticStress
block = 0
[]
[]
[Postprocessors]
[disp_x_norm]
type = ElementL2Norm
variable = disp_x
[]
[disp_y_norm]
type = ElementL2Norm
variable = disp_y
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
automatic_scaling = true
# controls for nonlinear iterations
nl_max_its = 15
nl_rel_tol = 1e-13
nl_abs_tol = 1e-50
# time control
start_time = 0.0
dt = 0.1
num_steps = 4
max_xfem_update = 1
[]
[Outputs]
print_linear_residuals = false
exodus = true
[]
(modules/combined/test/tests/poro_mechanics/pp_generation_unconfined.i)
# A sample is constrained on all sides, except its top
# and its boundaries are
# also impermeable. Fluid is pumped into the sample via a
# volumetric source (ie m^3/second per cubic meter), and the
# rise in the top surface, porepressure, and stress are observed.
#
# Source = s (units = 1/second)
#
# Expect:
# strain_zz = disp_z = BiotCoefficient*BiotModulus*s*t/((bulk + 4*shear/3) + BiotCoefficient^2*BiotModulus)
# porepressure = BiotModulus*(s*t - BiotCoefficient*strain_zz)
# stress_xx = (bulk - 2*shear/3)*strain_zz (remember this is effective stress)
# stress_xx = (bulk + 4*shear/3)*strain_zz (remember this is effective stress)
#
# Parameters:
# Biot coefficient = 0.3
# Porosity = 0.1
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 1/0.3 = 3.333333
# 1/Biot modulus = (1 - 0.3)*(0.3 - 0.1)/2 + 0.1*0.3 = 0.1. BiotModulus = 10
#
# s = 0.1
#
# Expect
# disp_z = 0.3*10*s*t/((2 + 4*1.5/3) + 0.3^2*10) = 0.612245*s*t
# porepressure = 10*(s*t - 0.3*0.612245*s*t) = 8.163265*s*t
# stress_xx = (2 - 2*1.5/3)*0.612245*s*t = 0.612245*s*t
# stress_zz = (2 + 4*shear/3)*0.612245*s*t = 2.44898*s*t
[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'
porepressure = porepressure
block = 0
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./porepressure]
[../]
[]
[BCs]
[./confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[../]
[./confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[../]
[./confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back'
[../]
[]
[Kernels]
[./grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[../]
[./grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[../]
[./grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[../]
[./poro_x]
type = PoroMechanicsCoupling
variable = disp_x
component = 0
[../]
[./poro_y]
type = PoroMechanicsCoupling
variable = disp_y
component = 1
[../]
[./poro_z]
type = PoroMechanicsCoupling
variable = disp_z
component = 2
[../]
[./poro_timederiv]
type = PoroFullSatTimeDerivative
variable = porepressure
[../]
[./source]
type = BodyForce
function = 0.1
variable = porepressure
[../]
[]
[AuxVariables]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
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_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_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[../]
[./strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./poro_material]
type = PoroFullSatMaterial
porosity0 = 0.1
biot_coefficient = 0.3
solid_bulk_compliance = 0.5
fluid_bulk_compliance = 0.3
constant_porosity = true
[../]
[]
[Postprocessors]
[./p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[../]
[./zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[../]
[./stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[../]
[./stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[../]
[./stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = pp_generation_unconfined
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/test/tests/jacobian/cdpc01.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
[../]
[]
[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'
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
[../]
[]
[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/test/tests/jacobian/cosserat04.i)
[Mesh]
type = GeneratedMesh
dim = 3
[]
[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]
[../]
[./wc_z]
[../]
[]
[Kernels]
active = 'cx_elastic cy_elastic cz_elastic x_couple y_couple z_couple x_moment y_moment z_moment'
[./cx_elastic]
type = CosseratStressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[../]
[./cy_elastic]
type = CosseratStressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y 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
[../]
[./z_couple]
type = StressDivergenceTensors
variable = wc_z
displacements = 'wc_x wc_y wc_z'
component = 2
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[./z_moment]
type = MomentBalancing
variable = wc_z
component = 2
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeCosseratElasticityTensor
B_ijkl = '1 2.2 2.333 1.988 1 2.1 2.2 2.3 2.4 1 2.2 2.333 1.988 1 2.1 2.2 2.3 2.4 2.2 2 1.6'
fill_method_bending = 'symmetric21'
E_ijkl = '1.07 1.2 1.333 0.988 1.123 1.1 1.25 1.3 1.4 1 1.2 1.333 0.9 1.11 1.16 1.28 1.35 1.45 1.03 1 0.6'
fill_method = 'symmetric21'
[../]
[./strain]
type = ComputeCosseratSmallStrain
[../]
[./stress]
type = ComputeCosseratLinearElasticStress
[../]
[]
[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]
type = Transient
solve_type = Newton
[]
(modules/porous_flow/test/tests/jacobian/desorped_mass01.i)
# 1phase
# vanGenuchten, constant-bulk density, HM porosity, 1component, unsaturated
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
[]
[conc]
family = MONOMIAL
order = CONSTANT
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pp]
type = RandomIC
variable = pp
min = -1
max = 1
[]
[conc]
type = RandomIC
variable = conc
min = 0
max = 1
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
[]
[conc]
type = PorousFlowDesorpedMassTimeDerivative
conc_var = conc
variable = conc
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp disp_x disp_y disp_z conc'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = pp
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
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]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/solid_mechanics/test/tests/jacobian/cosserat05.i)
[Mesh]
type = GeneratedMesh
dim = 3
[]
[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]
[../]
[./wc_z]
[../]
[]
[Kernels]
active = 'cx_elastic cy_elastic cz_elastic x_couple y_couple z_couple x_moment y_moment z_moment'
[./cx_elastic]
type = CosseratStressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[../]
[./cy_elastic]
type = CosseratStressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y 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
[../]
[./z_couple]
type = StressDivergenceTensors
variable = wc_z
displacements = 'wc_x wc_y wc_z'
component = 2
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[./z_moment]
type = MomentBalancing
variable = wc_z
component = 2
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeCosseratElasticityTensor
B_ijkl = '1 2.2 2.333 1.9 0.89 2.1'
fill_method_bending = 'antisymmetric'
E_ijkl = '1 2.2 2.333 1.9 0.89 2.1'
fill_method = 'antisymmetric'
[../]
[./strain]
type = ComputeCosseratSmallStrain
[../]
[./stress]
type = ComputeCosseratLinearElasticStress
[../]
[]
[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]
type = Transient
solve_type = Newton
[]
(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/porous_flow/test/tests/jacobian/mass_vol_exp02.i)
# Tests the PorousFlowMassVolumetricExpansion kernel
# Fluid with constant bulk modulus, van-Genuchten capillary, HM porosity
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[p]
type = RandomIC
min = -1
max = 1
variable = porepressure
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[]
[poro]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = porepressure
[]
[]
[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
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[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]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[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]
type = Transient
solve_type = Newton
dt = 1E-5
[]
[Outputs]
execute_on = 'timestep_end'
file_base = jacobian2
exodus = false
[]
(modules/solid_mechanics/test/tests/stress_recovery/patch/patch.i)
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
type = GeneratedMesh
dim = 2
nx = 2
ny = 2
elem_type = QUAD9
uniform_refine = 0
[]
[Variables]
[disp_x]
order = SECOND
family = LAGRANGE
[]
[disp_y]
order = SECOND
family = LAGRANGE
[]
[]
[AuxVariables]
[stress_xx]
order = FIRST
family = MONOMIAL
[]
[stress_yy]
order = FIRST
family = MONOMIAL
[]
[stress_xx_recovered]
order = SECOND
family = LAGRANGE
[]
[stress_yy_recovered]
order = SECOND
family = LAGRANGE
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
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_xx_recovered]
type = NodalPatchRecoveryAux
variable = stress_xx_recovered
nodal_patch_recovery_uo = stress_xx_patch
execute_on = 'TIMESTEP_END'
[]
[stress_yy_recovered]
type = NodalPatchRecoveryAux
variable = stress_yy_recovered
nodal_patch_recovery_uo = stress_yy_patch
execute_on = 'TIMESTEP_END'
[]
[]
[Kernels]
[solid_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[solid_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[]
[Materials]
[strain]
type = ComputeSmallStrain
[]
[Cijkl]
type = ComputeIsotropicElasticityTensor
poissons_ratio = 0.3
youngs_modulus = 2.1e+5
[]
[stress]
type = ComputeLinearElasticStress
[]
[]
[BCs]
[top_xdisp]
type = FunctionDirichletBC
variable = disp_y
boundary = 'top'
function = 0
[]
[top_ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = 'top'
function = t
[]
[bottom_xdisp]
type = FunctionDirichletBC
variable = disp_x
boundary = 'bottom'
function = 0
[]
[bottom_ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = 'bottom'
function = 0
[]
[]
[UserObjects]
[stress_xx_patch]
type = NodalPatchRecoveryMaterialProperty
patch_polynomial_order = SECOND
property = 'stress'
component = '0 0'
execute_on = 'TIMESTEP_END'
[]
[stress_yy_patch]
type = NodalPatchRecoveryMaterialProperty
patch_polynomial_order = SECOND
property = 'stress'
component = '1 1'
execute_on = 'TIMESTEP_END'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
ksp_norm = default
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-ksp_type -pc_type'
petsc_options_value = 'preonly lu'
nl_abs_tol = 1e-8
nl_rel_tol = 1e-8
l_max_its = 100
nl_max_its = 30
dt = 0.01
dtmin = 1e-11
start_time = 0
end_time = 0.05
[]
[Outputs]
time_step_interval = 1
exodus = true
print_linear_residuals = false
[]
(modules/combined/test/tests/poro_mechanics/terzaghi.i)
# Terzaghi's problem of consolodation of a drained medium
#
# A saturated soil sample sits in a bath of water.
# It is constrained on its sides, and bottom.
# Its sides and bottom are also impermeable.
# Initially it is unstressed.
# A normal stress, q, is applied to the soil's top.
# The soil then slowly compresses as water is squeezed
# out from the sample from its top (the top BC for
# the porepressure is porepressure = 0).
#
# See, for example. Section 2.2 of the online manuscript
# Arnold Verruijt "Theory and Problems of Poroelasticity" Delft University of Technology 2013
# but note that the "sigma" in that paper is the negative
# of the stress in TensorMechanics
#
# Here are the problem's parameters, and their values:
# Soil height. h = 10
# Soil's Lame lambda. la = 2
# Soil's Lame mu, which is also the Soil's shear modulus. mu = 3
# Soil bulk modulus. K = la + 2*mu/3 = 4
# Soil confined compressibility. m = 1/(K + 4mu/3) = 0.125
# Soil bulk compliance. 1/K = 0.25
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Soil initial storativity, which is the reciprocal of the initial Biot modulus. S = phi0/Kf + (alpha - phi0)(1 - alpha)/K = 0.0625
# Consolidation coefficient. c = k/(S + alpha^2 m) = 13.95348837
# Normal stress on top. q = 1
# Initial porepressure, resulting from instantaneous application of q, assuming corresponding instantaneous increase of porepressure (Note that this is calculated by MOOSE: we only need it for the analytical solution). p0 = alpha*m*q/(S + alpha^2 m) = 0.69767442
# Initial vertical displacement (down is positive), resulting from instantaneous application of q (Note this is calculated by MOOSE: we only need it for the analytical solution). uz0 = q*m*h*S/(S + alpha^2 m)
# Final vertical displacement (down in positive) (Note this is calculated by MOOSE: we only need it for the analytical solution). uzinf = q*m*h
#
# The solution for porepressure is
# P = 4*p0/\pi \sum_{k=1}^{\infty} \frac{(-1)^{k-1}}{2k-1} \cos ((2k-1)\pi z/(2h)) \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
# This series converges very slowly for ct/h^2 small, so in that domain
# P = p0 erf( (1-(z/h))/(2 \sqrt(ct/h^2)) )
#
# The degree of consolidation is defined as
# U = (uz - uz0)/(uzinf - uz0)
# where uz0 and uzinf are defined above, and
# uz = the vertical displacement of the top (down is positive)
# U = 1 - (8/\pi^2)\sum_{k=1}^{\infty} \frac{1}{(2k-1)^2} \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 10
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = 0
zmax = 10
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
porepressure = porepressure
block = 0
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./porepressure]
[../]
[]
[BCs]
[./confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[../]
[./confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[../]
[./basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[../]
[./topdrained]
type = DirichletBC
variable = porepressure
value = 0
boundary = front
[../]
[./topload]
type = NeumannBC
variable = disp_z
value = -1
boundary = front
[../]
[]
[Kernels]
[./grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[../]
[./grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[../]
[./grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[../]
[./poro_x]
type = PoroMechanicsCoupling
variable = disp_x
component = 0
[../]
[./poro_y]
type = PoroMechanicsCoupling
variable = disp_y
component = 1
[../]
[./poro_z]
type = PoroMechanicsCoupling
variable = disp_z
component = 2
[../]
[./poro_timederiv]
type = PoroFullSatTimeDerivative
variable = porepressure
[../]
[./darcy_flow]
type = CoefDiffusion
variable = porepressure
coef = 1.5
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
# bulk modulus is lambda + 2*mu/3 = 2 + 2*3/3 = 4
fill_method = symmetric_isotropic
[../]
[./strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./poro_material]
type = PoroFullSatMaterial
porosity0 = 0.1
biot_coefficient = 0.6
solid_bulk_compliance = 0.25
fluid_bulk_compliance = 0.125
constant_porosity = true
[../]
[]
[Postprocessors]
[./p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[../]
[./p1]
type = PointValue
outputs = csv
point = '0 0 1'
variable = porepressure
[../]
[./p2]
type = PointValue
outputs = csv
point = '0 0 2'
variable = porepressure
[../]
[./p3]
type = PointValue
outputs = csv
point = '0 0 3'
variable = porepressure
[../]
[./p4]
type = PointValue
outputs = csv
point = '0 0 4'
variable = porepressure
[../]
[./p5]
type = PointValue
outputs = csv
point = '0 0 5'
variable = porepressure
[../]
[./p6]
type = PointValue
outputs = csv
point = '0 0 6'
variable = porepressure
[../]
[./p7]
type = PointValue
outputs = csv
point = '0 0 7'
variable = porepressure
[../]
[./p8]
type = PointValue
outputs = csv
point = '0 0 8'
variable = porepressure
[../]
[./p9]
type = PointValue
outputs = csv
point = '0 0 9'
variable = porepressure
[../]
[./p99]
type = PointValue
outputs = csv
point = '0 0 10'
variable = porepressure
[../]
[./zdisp]
type = PointValue
outputs = csv
point = '0 0 10'
variable = disp_z
[../]
[./dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.5*t<0.1,0.5*t,0.1)
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
[./TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.0001
[../]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = terzaghi
[./csv]
type = CSV
[../]
[]
(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/test/tests/jacobian/fflux08.i)
# 1phase, 1component, constant viscosity, Kozeny-Carman permeability
# density with constant bulk, Corey relative perm, nonzero gravity, unsaturated with vanGenuchten
[Mesh]
type = GeneratedMesh
dim = 3
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pp]
type = RandomIC
variable = pp
min = -1
max = 1
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[flux0]
type = PorousFlowAdvectiveFlux
fluid_component = 0
variable = pp
gravity = '-1 -0.1 0'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = pp
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[permeability]
type = PorousFlowPermeabilityKozenyCarman
poroperm_function = kozeny_carman_phi0
k_anisotropy = '1 0 0 0 2 0 0 0 3'
phi0 = 0.1
n = 1.0
m = 2.0
k0 = 2
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 2
phase = 0
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
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]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/porous_flow/test/tests/energy_conservation/heat05.i)
# Demonstrates that porosity is correctly initialised,
# since the residual should be zero in this example.
# If initQpStatefulProperties of the Porosity calculator
# is incorrect then the residual will be nonzero.
[Mesh]
type = GeneratedMesh
dim = 3
[]
[FluidProperties]
[the_simple_fluid]
type = SimpleFluidProperties
thermal_expansion = 0.5
cv = 2
cp = 2
bulk_modulus = 2.0
density0 = 3.0
[]
[]
[GlobalParams]
biot_coefficient = 0.7
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
initial_condition = 0.5
[]
[temp]
initial_condition = 1.0
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = pp
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
[]
[temp]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[poro_vol_exp_temp]
type = PorousFlowHeatVolumetricExpansion
variable = temp
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'temp pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[porosity]
type = PorousFlowPorosity
thermal = true
fluid = true
mechanical = true
ensure_positive = false
porosity_zero = 0.5
thermal_expansion_coeff = 0.25
solid_bulk = 2
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 0.2
density = 5.0
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
temperature_unit = Kelvin
fp = the_simple_fluid
phase = 0
[]
[]
[Postprocessors]
[should_be_zero]
type = NumNonlinearIterations
[]
[]
[Executioner]
type = Transient
num_steps = 1
nl_abs_tol = 1e-16
[]
[Outputs]
file_base = heat05
csv = true
[]
(modules/porous_flow/test/tests/mass_conservation/mass11.i)
# The sample is a single unit element, with roller BCs on the sides and bottom.
# The top is free to move and fluid is injected at a constant rate of 1kg/s
# There is no fluid flow.
# Fluid mass conservation is checked.
# Under these conditions the fluid mass should increase at 1kg/s
# The porepressure should increase: rho0 * exp(P/bulk) = rho * exp(P0/bulk) + 1*t
# The stress_zz should be exactly biot * P since total stress is zero
[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'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
initial_condition = 0.1
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[]
[DiracKernels]
[inject]
type = PorousFlowPointSourceFromPostprocessor
point = '0 0 0'
mass_flux = 1.0
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
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_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_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '0.5 0 0 0 0.5 0 0 0 0.5'
[]
[]
[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
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
use_displaced_mesh = false
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 2
[]
[Outputs]
execute_on = 'initial timestep_end'
[csv]
type = CSV
[]
[]
(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/capped_mohr_coulomb/small_deform9_cosserat.i)
# Using Cosserat with large layer thickness, so this should reduce to standard
# Using CappedMohrCoulombCosserat with tensile failure only
# A single unit element is stretched in a complicated way that
# the trial stress is
# 1.51515 0.8 0.666667
# 0.8 -3.74545 -1.85037e-17
# 0.7 -1.66533e-17 -1.27273
# with symmetric part
# 1.51515 0.8 0.6833
# 0.8 -3.74545 -1.85037e-17
# 0.6833 -1.66533e-17 -1.27273
#
# This has eigenvalues
# la = {-3.86844, 1.78368, -1.41827}
# and eigenvectors
#
# {0.15183, -0.987598, -0.03997},
# {-0.966321, -0.139815, -0.216044},
# {-0.207777, -0.0714259, 0.975565}}
#
# The tensile strength is 0.5 and Young=1 and Poisson=0.25,
# with E_0000/E_0011 = nu / (1 - nu) = 0.333333
# Using smoothing_tol=0.01, the return-map algorithm should
# return to stress_I = 0.5, which is a reduction of 1.28368, so
# stress_II = -1.41827 - 1.28368 * 0.33333 = -1.846
# stress_III = -3.86844 - 1.28368 * 0.33333 = -4.296
#
# The final stress symmetric stress is
#
# {0.29, 0.69, 0.51},
# {0.69, -4.19, -0.03},
# {0.51, -0.03, -1.74}
#
# and a final unsymmetric stress of
#
# {0.29, 0.69, 0.49},
# {0.69, -4.19, -0.03},
# {0.52, -0.03, -1.74}
[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]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '3*x-y+z'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '3*x-4*y'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = 'x-2*z'
[../]
[./wc_x]
type = DirichletBC
variable = wc_x
boundary = 'front back'
value = 0.0
[../]
[./wc_y]
type = DirichletBC
variable = wc_y
boundary = 'front back'
value = 0.0
[../]
[]
[AuxVariables]
[./wc_z]
[../]
[./stress_I]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_II]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_III]
order = CONSTANT
family = MONOMIAL
[../]
[./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
[../]
[./f0]
order = CONSTANT
family = MONOMIAL
[../]
[./f1]
order = CONSTANT
family = MONOMIAL
[../]
[./f2]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[./intnl]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_I]
type = RankTwoScalarAux
scalar_type = MaxPrincipal
rank_two_tensor = stress
variable = stress_I
selected_qp = 0
[../]
[./stress_II]
type = RankTwoScalarAux
scalar_type = MidPrincipal
rank_two_tensor = stress
variable = stress_II
selected_qp = 0
[../]
[./stress_III]
type = RankTwoScalarAux
scalar_type = MinPrincipal
rank_two_tensor = stress
variable = stress_III
selected_qp = 0
[../]
[./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
[../]
[./f0_auxk]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = f0
[../]
[./f1_auxk]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 1
variable = f1
[../]
[./f2_auxk]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 2
variable = f2
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[./intnl_auxk]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 1
variable = intnl
[../]
[]
[Postprocessors]
[./s_I]
type = PointValue
point = '0 0 0'
variable = stress_I
[../]
[./s_II]
type = PointValue
point = '0 0 0'
variable = stress_II
[../]
[./s_III]
type = PointValue
point = '0 0 0'
variable = stress_III
[../]
[./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
[../]
[./f0]
type = PointValue
point = '0 0 0'
variable = f0
[../]
[./f1]
type = PointValue
point = '0 0 0'
variable = f1
[../]
[./f2]
type = PointValue
point = '0 0 0'
variable = f2
[../]
[./iter]
type = PointValue
point = '0 0 0'
variable = iter
[../]
[./intnl]
type = PointValue
point = '0 0 0'
variable = intnl
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 0.5
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E6
[../]
[./coh]
type = SolidMechanicsHardeningConstant
value = 1E6
[../]
[./ang]
type = SolidMechanicsHardeningConstant
value = 30
convert_to_radians = true
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 1
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1.0
joint_shear_stiffness = 2.0
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
[../]
[./tensile]
type = CappedMohrCoulombCosseratStressUpdate
tensile_strength = ts
compressive_strength = cs
cohesion = coh
friction_angle = ang
dilation_angle = ang
smoothing_tol = 0.001
yield_function_tol = 1.0E-12
host_youngs_modulus = 1.0
host_poissons_ratio = 0.25
[../]
[./stress]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = tensile
perform_finite_strain_rotations = false
[../]
[]
[Executioner]
end_time = 1
dt = 1
nl_abs_tol = 1E-10
type = Transient
[]
[Outputs]
file_base = small_deform9_cosserat
csv = true
[]
(modules/solid_mechanics/test/tests/jacobian/mc_update34_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Compressive + shear failure, starting from a non-symmetric stress state
[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 = 1E6
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E2
[../]
[./coh]
type = SolidMechanicsHardeningConstant
value = 4E1
[../]
[./phi]
type = SolidMechanicsHardeningConstant
value = 35
convert_to_radians = true
[../]
[./psi]
type = SolidMechanicsHardeningConstant
value = 5
convert_to_radians = true
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 1E3
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 2.0
joint_shear_stiffness = 1.0
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '-100.1 -0.1 0.2 -0.1 -0.9 0 0.2 0.1 -1.1'
eigenstrain_name = ini_stress
[../]
[./cmc]
type = CappedMohrCoulombCosseratStressUpdate
host_youngs_modulus = 1E3
host_poissons_ratio = 0.25
tensile_strength = ts
compressive_strength = cs
cohesion = coh
friction_angle = phi
dilation_angle = psi
smoothing_tol = 0.5
yield_function_tol = 1.0E-12
[../]
[./stress]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = cmc
perform_finite_strain_rotations = false
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-snes_type'
petsc_options_value = 'test'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
[]
(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/porous_flow/test/tests/jacobian/mass_vol_exp03.i)
# Tests the PorousFlowMassVolumetricExpansion kernel
# Fluid with constant bulk modulus, van-Genuchten capillary, HM porosity, multiply_by_density = false
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[p]
type = RandomIC
min = -1
max = 1
variable = porepressure
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[]
[poro]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = porepressure
multiply_by_density = false
[]
[]
[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
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[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]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[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]
type = Transient
solve_type = Newton
dt = 1E-5
[]
[Outputs]
execute_on = 'timestep_end'
file_base = jacobian2
exodus = false
[]
(modules/porous_flow/test/tests/jacobian/mass_vol_exp01.i)
# Tests the PorousFlowMassVolumetricExpansion kernel
# Fluid with constant bulk modulus, van-Genuchten capillary, constant porosity
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[p]
type = RandomIC
min = -1
max = 1
variable = porepressure
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[]
[poro]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = porepressure
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[simple1]
type = TensorMechanicsPlasticSimpleTester
a = 0
b = 1
strength = 1E20
yield_function_tolerance = 1.0E-9
internal_constraint_tolerance = 1.0E-9
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[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]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[]
[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]
type = Transient
solve_type = Newton
dt = 1E-5
[]
[Outputs]
execute_on = 'timestep_end'
file_base = jacobian2
exodus = false
[]
(modules/solid_mechanics/test/tests/static_deformations/layered_cosserat_01.i)
# apply uniform stretches and observe the stresses
# with
# young = 0.7
# poisson = 0.2
# layer_thickness = 0.1
# joint_normal_stiffness = 0.25
# joint_shear_stiffness = 0.2
# then
# a0000 = 0.730681
# a0011 = 0.18267
# a2222 = 0.0244221
# a0022 = 0.006055
# a0101 = 0.291667
# a66 = 0.018717
# a77 = 0.310383
# b0110 = 0.000534
# b0101 = 0.000107
# and with
# strain_xx = 1
# strain_yy = 2
# strain_zz = 3
# then
# stress_xx = a0000*1 + a0011*2 + a0022*3 = 1.114187
# stress_yy = a0011*1 + a0000*2 + a0022*3 = 1.662197
# stress_zz = a0022*(1+2) + a2222*3 = 0.09083
# and all others zero
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
ymax = 1
nz = 1
[]
[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]
# zmin is called back
# zmax is called front
# ymin is called bottom
# ymax is called top
# xmin is called left
# xmax is called right
[./strain_xx]
type = FunctionDirichletBC
variable = disp_x
boundary = 'left right'
function = x
[../]
[./strain_yy]
type = FunctionDirichletBC
variable = disp_y
boundary = 'bottom top'
function = 2*y
[../]
[./strain_zz]
type = FunctionDirichletBC
variable = disp_z
boundary = 'back front'
function = 3*z
[../]
[]
[AuxVariables]
[./wc_z]
[../]
[./stress_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zz]
family = MONOMIAL
order = CONSTANT
[../]
[./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
[../]
[]
[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
[../]
[]
[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
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 0.7
poisson = 0.2
layer_thickness = 0.1
joint_normal_stiffness = 0.25
joint_shear_stiffness = 0.2
[../]
[./strain]
type = ComputeCosseratSmallStrain
[../]
[./stress]
type = ComputeCosseratLinearElasticStress
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol'
petsc_options_value = 'gmres asm lu 1E-10 1E-14 10 1E-15 1E-10'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
num_steps = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = layered_cosserat_01
csv = true
[]
(modules/combined/test/tests/poro_mechanics/borehole_highres.i)
# Poroelastic response of a borehole.
#
# HIGHRES VERSION: this version gives good agreement with the analytical solution, but it takes a while so is a "heavy" test
#
# A fully-saturated medium contains a fluid with a homogeneous porepressure,
# but an anisitropic insitu stress. A infinitely-long borehole aligned with
# the $$z$$ axis is instanteously excavated. The borehole boundary is
# stress-free and allowed to freely drain. This problem is analysed using
# plane-strain conditions (no $$z$$ displacement).
#
# The solution in Laplace space is found in E Detournay and AHD Cheng "Poroelastic response of a borehole in a non-hydrostatic stress field". International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts 25 (1988) 171-182. In the small-time limit, the Laplace transforms may be performed. There is one typo in the paper. Equation (A4)'s final term should be -(a/r)\sqrt(4ct/(a^2\pi)), and not +(a/r)\sqrt(4ct/(a^2\pi)).
#
# Because realistic parameters are chosen (below),
# the residual for porepressure is much smaller than
# the residuals for the displacements. Therefore the
# scaling parameter is chosen. Also note that the
# insitu stresses are effective stresses, not total
# stresses, but the solution in the above paper is
# expressed in terms of total stresses.
#
# Here are the problem's parameters, and their values:
# Borehole radius. a = 1
# Rock's Lame lambda. la = 0.5E9
# Rock's Lame mu, which is also the Rock's shear modulus. mu = G = 1.5E9
# Rock bulk modulus. K = la + 2*mu/3 = 1.5E9
# Drained Poisson ratio. nu = (3K - 2G)/(6K + 2G) = 0.125
# Rock bulk compliance. 1/K = 0.66666666E-9
# Fluid bulk modulus. Kf = 0.7171315E9
# Fluid bulk compliance. 1/Kf = 1.39444444E-9
# Rock initial porosity. phi0 = 0.3
# Biot coefficient. alpha = 0.65
# Biot modulus. M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 2E9
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.345E9
# Undrained Poisson ratio. nuu = (3Ku - 2G)/(6Ku + 2G) = 0.2364
# Skempton coefficient. B = alpha*M/Ku = 0.554
# Fluid mobility (rock permeability/fluid viscosity). k = 1E-12
[Mesh]
type = FileMesh
file = borehole_highres_input.e
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
porepressure = porepressure
block = 1
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./porepressure]
scaling = 1E9 # Notice the scaling, to make porepressure's kernels roughly of same magnitude as disp's kernels
[../]
[]
[GlobalParams]
volumetric_locking_correction=true
[]
[ICs]
[./initial_p]
type = ConstantIC
variable = porepressure
value = 1E6
[../]
[]
[BCs]
[./fixed_outer_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = outer
[../]
[./fixed_outer_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = outer
[../]
[./plane_strain]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'zmin zmax'
[../]
[./borehole_wall]
type = DirichletBC
variable = porepressure
value = 0
boundary = bh_wall
[../]
[]
[AuxVariables]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./tot_yy]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[../]
[./tot_yy]
type = ParsedAux
coupled_variables = 'stress_yy porepressure'
execute_on = timestep_end
variable = tot_yy
expression = 'stress_yy-0.65*porepressure'
[../]
[]
[Kernels]
[./grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[../]
[./grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[../]
[./grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[../]
[./poro_x]
type = PoroMechanicsCoupling
variable = disp_x
component = 0
[../]
[./poro_y]
type = PoroMechanicsCoupling
variable = disp_y
component = 1
[../]
[./poro_z]
type = PoroMechanicsCoupling
variable = disp_z
component = 2
[../]
[./poro_timederiv]
type = PoroFullSatTimeDerivative
variable = porepressure
[../]
[./darcy_flow]
type = CoefDiffusion
variable = porepressure
coef = 1E-12
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5E9 1.5E9'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*1.5/3 = 1.5E9
fill_method = symmetric_isotropic
[../]
[./strain]
type = ComputeFiniteStrain
displacements = 'disp_x disp_y disp_z'
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '-1.35E6 0 0 0 -3.35E6 0 0 0 0' # remember this is the effective stress
eigenstrain_name = ini_stress
[../]
[./no_plasticity]
type = ComputeFiniteStrainElasticStress
[../]
[./poro_material]
type = PoroFullSatMaterial
porosity0 = 0.3
biot_coefficient = 0.65
solid_bulk_compliance = 0.6666666666667E-9
fluid_bulk_compliance = 1.3944444444444E-9
constant_porosity = false
[../]
[]
[Postprocessors]
[./p00]
type = PointValue
variable = porepressure
point = '1.00 0 0'
outputs = csv_p
[../]
[./p01]
type = PointValue
variable = porepressure
point = '1.01 0 0'
outputs = csv_p
[../]
[./p02]
type = PointValue
variable = porepressure
point = '1.02 0 0'
outputs = csv_p
[../]
[./p03]
type = PointValue
variable = porepressure
point = '1.03 0 0'
outputs = csv_p
[../]
[./p04]
type = PointValue
variable = porepressure
point = '1.04 0 0'
outputs = csv_p
[../]
[./p05]
type = PointValue
variable = porepressure
point = '1.05 0 0'
outputs = csv_p
[../]
[./p06]
type = PointValue
variable = porepressure
point = '1.06 0 0'
outputs = csv_p
[../]
[./p07]
type = PointValue
variable = porepressure
point = '1.07 0 0'
outputs = csv_p
[../]
[./p08]
type = PointValue
variable = porepressure
point = '1.08 0 0'
outputs = csv_p
[../]
[./p09]
type = PointValue
variable = porepressure
point = '1.09 0 0'
outputs = csv_p
[../]
[./p10]
type = PointValue
variable = porepressure
point = '1.10 0 0'
outputs = csv_p
[../]
[./p11]
type = PointValue
variable = porepressure
point = '1.11 0 0'
outputs = csv_p
[../]
[./p12]
type = PointValue
variable = porepressure
point = '1.12 0 0'
outputs = csv_p
[../]
[./p13]
type = PointValue
variable = porepressure
point = '1.13 0 0'
outputs = csv_p
[../]
[./p14]
type = PointValue
variable = porepressure
point = '1.14 0 0'
outputs = csv_p
[../]
[./p15]
type = PointValue
variable = porepressure
point = '1.15 0 0'
outputs = csv_p
[../]
[./p16]
type = PointValue
variable = porepressure
point = '1.16 0 0'
outputs = csv_p
[../]
[./p17]
type = PointValue
variable = porepressure
point = '1.17 0 0'
outputs = csv_p
[../]
[./p18]
type = PointValue
variable = porepressure
point = '1.18 0 0'
outputs = csv_p
[../]
[./p19]
type = PointValue
variable = porepressure
point = '1.19 0 0'
outputs = csv_p
[../]
[./p20]
type = PointValue
variable = porepressure
point = '1.20 0 0'
outputs = csv_p
[../]
[./p21]
type = PointValue
variable = porepressure
point = '1.21 0 0'
outputs = csv_p
[../]
[./p22]
type = PointValue
variable = porepressure
point = '1.22 0 0'
outputs = csv_p
[../]
[./p23]
type = PointValue
variable = porepressure
point = '1.23 0 0'
outputs = csv_p
[../]
[./p24]
type = PointValue
variable = porepressure
point = '1.24 0 0'
outputs = csv_p
[../]
[./p25]
type = PointValue
variable = porepressure
point = '1.25 0 0'
outputs = csv_p
[../]
[./s00]
type = PointValue
variable = disp_x
point = '1.00 0 0'
outputs = csv_s
[../]
[./s01]
type = PointValue
variable = disp_x
point = '1.01 0 0'
outputs = csv_s
[../]
[./s02]
type = PointValue
variable = disp_x
point = '1.02 0 0'
outputs = csv_s
[../]
[./s03]
type = PointValue
variable = disp_x
point = '1.03 0 0'
outputs = csv_s
[../]
[./s04]
type = PointValue
variable = disp_x
point = '1.04 0 0'
outputs = csv_s
[../]
[./s05]
type = PointValue
variable = disp_x
point = '1.05 0 0'
outputs = csv_s
[../]
[./s06]
type = PointValue
variable = disp_x
point = '1.06 0 0'
outputs = csv_s
[../]
[./s07]
type = PointValue
variable = disp_x
point = '1.07 0 0'
outputs = csv_s
[../]
[./s08]
type = PointValue
variable = disp_x
point = '1.08 0 0'
outputs = csv_s
[../]
[./s09]
type = PointValue
variable = disp_x
point = '1.09 0 0'
outputs = csv_s
[../]
[./s10]
type = PointValue
variable = disp_x
point = '1.10 0 0'
outputs = csv_s
[../]
[./s11]
type = PointValue
variable = disp_x
point = '1.11 0 0'
outputs = csv_s
[../]
[./s12]
type = PointValue
variable = disp_x
point = '1.12 0 0'
outputs = csv_s
[../]
[./s13]
type = PointValue
variable = disp_x
point = '1.13 0 0'
outputs = csv_s
[../]
[./s14]
type = PointValue
variable = disp_x
point = '1.14 0 0'
outputs = csv_s
[../]
[./s15]
type = PointValue
variable = disp_x
point = '1.15 0 0'
outputs = csv_s
[../]
[./s16]
type = PointValue
variable = disp_x
point = '1.16 0 0'
outputs = csv_s
[../]
[./s17]
type = PointValue
variable = disp_x
point = '1.17 0 0'
outputs = csv_s
[../]
[./s18]
type = PointValue
variable = disp_x
point = '1.18 0 0'
outputs = csv_s
[../]
[./s19]
type = PointValue
variable = disp_x
point = '1.19 0 0'
outputs = csv_s
[../]
[./s20]
type = PointValue
variable = disp_x
point = '1.20 0 0'
outputs = csv_s
[../]
[./s21]
type = PointValue
variable = disp_x
point = '1.21 0 0'
outputs = csv_s
[../]
[./s22]
type = PointValue
variable = disp_x
point = '1.22 0 0'
outputs = csv_s
[../]
[./s23]
type = PointValue
variable = disp_x
point = '1.23 0 0'
outputs = csv_s
[../]
[./s24]
type = PointValue
variable = disp_x
point = '1.24 0 0'
outputs = csv_s
[../]
[./s25]
type = PointValue
variable = disp_x
point = '1.25 0 0'
outputs = csv_s
[../]
[./t00]
type = PointValue
variable = tot_yy
point = '1.00 0 0'
outputs = csv_t
[../]
[./t01]
type = PointValue
variable = tot_yy
point = '1.01 0 0'
outputs = csv_t
[../]
[./t02]
type = PointValue
variable = tot_yy
point = '1.02 0 0'
outputs = csv_t
[../]
[./t03]
type = PointValue
variable = tot_yy
point = '1.03 0 0'
outputs = csv_t
[../]
[./t04]
type = PointValue
variable = tot_yy
point = '1.04 0 0'
outputs = csv_t
[../]
[./t05]
type = PointValue
variable = tot_yy
point = '1.05 0 0'
outputs = csv_t
[../]
[./t06]
type = PointValue
variable = tot_yy
point = '1.06 0 0'
outputs = csv_t
[../]
[./t07]
type = PointValue
variable = tot_yy
point = '1.07 0 0'
outputs = csv_t
[../]
[./t08]
type = PointValue
variable = tot_yy
point = '1.08 0 0'
outputs = csv_t
[../]
[./t09]
type = PointValue
variable = tot_yy
point = '1.09 0 0'
outputs = csv_t
[../]
[./t10]
type = PointValue
variable = tot_yy
point = '1.10 0 0'
outputs = csv_t
[../]
[./t11]
type = PointValue
variable = tot_yy
point = '1.11 0 0'
outputs = csv_t
[../]
[./t12]
type = PointValue
variable = tot_yy
point = '1.12 0 0'
outputs = csv_t
[../]
[./t13]
type = PointValue
variable = tot_yy
point = '1.13 0 0'
outputs = csv_t
[../]
[./t14]
type = PointValue
variable = tot_yy
point = '1.14 0 0'
outputs = csv_t
[../]
[./t15]
type = PointValue
variable = tot_yy
point = '1.15 0 0'
outputs = csv_t
[../]
[./t16]
type = PointValue
variable = tot_yy
point = '1.16 0 0'
outputs = csv_t
[../]
[./t17]
type = PointValue
variable = tot_yy
point = '1.17 0 0'
outputs = csv_t
[../]
[./t18]
type = PointValue
variable = tot_yy
point = '1.18 0 0'
outputs = csv_t
[../]
[./t19]
type = PointValue
variable = tot_yy
point = '1.19 0 0'
outputs = csv_t
[../]
[./t20]
type = PointValue
variable = tot_yy
point = '1.20 0 0'
outputs = csv_t
[../]
[./t21]
type = PointValue
variable = tot_yy
point = '1.21 0 0'
outputs = csv_t
[../]
[./t22]
type = PointValue
variable = tot_yy
point = '1.22 0 0'
outputs = csv_t
[../]
[./t23]
type = PointValue
variable = tot_yy
point = '1.23 0 0'
outputs = csv_t
[../]
[./t24]
type = PointValue
variable = tot_yy
point = '1.24 0 0'
outputs = csv_t
[../]
[./t25]
type = PointValue
variable = tot_yy
point = '1.25 0 0'
outputs = csv_t
[../]
[./dt]
type = FunctionValuePostprocessor
outputs = console
function = 2*t
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options = '-snes_monitor -snes_linesearch_monitor'
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -ksp_max_it -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'gmres asm 1E0 1E-10 200 500 lu NONZERO'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 0.3
dt = 0.1
#[./TimeStepper]
# type = PostprocessorDT
# postprocessor = dt
# dt = 0.003
#[../]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = borehole_highres
exodus = true
sync_times = '0.003 0.3'
[./csv_p]
file_base = borehole_highres_p
type = CSV
[../]
[./csv_s]
file_base = borehole_highres_s
type = CSV
[../]
[./csv_t]
file_base = borehole_highres_t
type = CSV
[../]
[]
(modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined.i)
# A sample is constrained on all sides, except its top
# and its boundaries are
# also impermeable. Fluid is pumped into the sample via a
# volumetric source (ie kg/second per cubic meter), and the
# rise in the top surface, porepressure, and stress are observed.
#
# In the standard poromechanics scenario, the Biot Modulus is held
# fixed and the source has units 1/time. Then the expected result
# is
# strain_zz = disp_z = BiotCoefficient*BiotModulus*s*t/((bulk + 4*shear/3) + BiotCoefficient^2*BiotModulus)
# porepressure = BiotModulus*(s*t - BiotCoefficient*strain_zz)
# stress_xx = (bulk - 2*shear/3)*strain_zz (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*strain_zz (remember this is effective stress)
#
# In porous_flow, however, the source has units kg/s/m^3 and the
# Biot Modulus is not held fixed. This means that disp_z, porepressure,
# etc are not linear functions of t. Nevertheless, the ratios remain
# fixed:
# stress_xx/strain_zz = (bulk - 2*shear/3) = 1 (for the parameters used here)
# stress_zz/strain_zz = (bulk + 4*shear/3) = 4 (for the parameters used here)
# porepressure/strain_zz = 13.3333333 (for the parameters used here)
[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'
PorousFlowDictator = dictator
block = 0
[]
[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 = 0.8
alpha = 1e-5
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[source]
type = BodyForce
function = 0.1
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
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_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_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 3.3333333333
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[]
[stress]
type = ComputeLinearElasticStress
[]
[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]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.3
solid_bulk = 2
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1 0 0 0 1 0 0 0 1' # unimportant
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = none
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = none
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = none
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = none
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = none
point = '0 0 0'
variable = stress_zz
[]
[stress_xx_over_strain]
type = FunctionValuePostprocessor
function = stress_xx_over_strain_fcn
outputs = csv
[]
[stress_zz_over_strain]
type = FunctionValuePostprocessor
function = stress_zz_over_strain_fcn
outputs = csv
[]
[p_over_strain]
type = FunctionValuePostprocessor
function = p_over_strain_fcn
outputs = csv
[]
[]
[Functions]
[stress_xx_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_xx zdisp'
[]
[stress_zz_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_zz zdisp'
[]
[p_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'p0 zdisp'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = pp_generation_unconfined
[csv]
type = CSV
[]
[]
(modules/solid_mechanics/examples/coal_mining/cosserat_elastic.i)
# Strata deformation and fracturing around a coal mine
#
# A 2D geometry is used that simulates a transverse section of
# the coal mine. The model is actually 3D, but the "x"
# dimension is only 10m long, meshed with 1 element, and
# there is no "x" displacement. The mine is 400m deep
# and just the roof is studied (0<=z<=400). The model sits
# between 0<=y<=450. The excavation sits in 0<=y<=150. This
# is a "half model": the boundary conditions are such that
# the model simulates an excavation sitting in -150<=y<=150
# inside a model of the region -450<=y<=450. The
# excavation height is 3m (ie, the excavation lies within
# 0<=z<=3).
#
# Time is meaningless in this example
# as quasi-static solutions are sought at each timestep, but
# the number of timesteps controls the resolution of the
# process.
#
# The boundary conditions for this elastic simulation are:
# - disp_x = 0 everywhere
# - disp_y = 0 at y=0 and y=450
# - disp_z = 0 for y>150
# - wc_x = 0 at y=0 and y=450.
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa. The initial stress is consistent with
# the weight force from density 2500 kg/m^3, ie, stress_zz = -0.025*(300-z) MPa
# where gravity = 10 m.s^-2 = 1E-5 MPa m^2/kg. The maximum and minimum
# principal horizontal stresses are assumed to be equal to 0.8*stress_zz.
#
# This is an elastic simulation, but the weak-plane and Drucker-Prager
# parameters and AuxVariables may be found below. They are irrelevant
# in this simulation. The weak-plane and Drucker-Prager cohesions,
# tensile strengths and compressive strengths have been set very high
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
#
[Mesh]
[generated_mesh]
type = GeneratedMeshGenerator
dim = 3
nx = 1
xmin = -5
xmax = 5
nz = 40
zmin = 0
zmax = 403.003
bias_z = 1.1
ny = 30 # make this a multiple of 3, so y=150 is at a node
ymin = 0
ymax = 450
[]
[left]
type = SideSetsAroundSubdomainGenerator
new_boundary = 11
normal = '0 -1 0'
input = generated_mesh
[]
[right]
type = SideSetsAroundSubdomainGenerator
new_boundary = 12
normal = '0 1 0'
input = left
[]
[front]
type = SideSetsAroundSubdomainGenerator
new_boundary = 13
normal = '-1 0 0'
input = right
[]
[back]
type = SideSetsAroundSubdomainGenerator
new_boundary = 14
normal = '1 0 0'
input = front
[]
[top]
type = SideSetsAroundSubdomainGenerator
new_boundary = 15
normal = '0 0 1'
input = back
[]
[bottom]
type = SideSetsAroundSubdomainGenerator
new_boundary = 16
normal = '0 0 -1'
input = top
[]
[excav]
type = SubdomainBoundingBoxGenerator
block_id = 1
bottom_left = '-5 0 0'
top_right = '5 150 3'
input = bottom
[]
[roof]
type = SideSetsBetweenSubdomainsGenerator
new_boundary = 21
primary_block = 0
paired_block = 1
input = excav
[]
[hole]
type = BlockDeletionGenerator
block = 1
input = roof
[]
[]
[GlobalParams]
block = 0
perform_finite_strain_rotations = false
displacements = 'disp_x disp_y disp_z'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[]
[Kernels]
[./cy_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_y
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_z
component = 2
[../]
[./x_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_x
component = 0
[../]
[./gravity]
type = Gravity
use_displaced_mesh = false
variable = disp_z
value = -10E-6 # remember this is in MPa
[../]
[]
[AuxVariables]
[./disp_x]
[../]
[./wc_y]
[../]
[./wc_z]
[../]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_shear_f]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_tensile_f]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_shear_f]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_tensile_f]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[../]
[./stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[../]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_yx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yx
index_i = 1
index_j = 0
[../]
[./stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[../]
[./stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[../]
[./stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
[../]
[./stress_zy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zy
index_i = 2
index_j = 1
[../]
[./stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[./dp_shear]
type = MaterialStdVectorAux
index = 0
property = dp_plastic_internal_parameter
variable = dp_shear
[../]
[./dp_tensile]
type = MaterialStdVectorAux
index = 1
property = dp_plastic_internal_parameter
variable = dp_tensile
[../]
[./wp_shear]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_internal_parameter
variable = wp_shear
[../]
[./wp_tensile]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_internal_parameter
variable = wp_tensile
[../]
[./dp_shear_f]
type = MaterialStdVectorAux
index = 0
property = dp_plastic_yield_function
variable = dp_shear_f
[../]
[./dp_tensile_f]
type = MaterialStdVectorAux
index = 1
property = dp_plastic_yield_function
variable = dp_tensile_f
[../]
[./wp_shear_f]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_yield_function
variable = wp_shear_f
[../]
[./wp_tensile_f]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_yield_function
variable = wp_tensile_f
[../]
[]
[BCs]
[./no_y]
type = DirichletBC
variable = disp_y
boundary = '11 12'
value = 0.0
[../]
[./no_z]
type = DirichletBC
variable = disp_z
boundary = '16'
value = 0.0
[../]
[./no_wc_x]
type = DirichletBC
variable = wc_x
boundary = '11 12'
value = 0.0
[../]
[]
[Functions]
[./ini_xx]
type = ParsedFunction
expression = '-0.8*2500*10E-6*(403.003-z)'
[../]
[./ini_zz]
type = ParsedFunction
expression = '-2500*10E-6*(403.003-z)'
[../]
[]
[UserObjects]
[./dp_coh_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 2.9 # MPa
value_residual = 3.1 # MPa
rate = 1.0
[../]
[./dp_fric]
type = SolidMechanicsHardeningConstant
value = 0.65 # 37deg
[../]
[./dp_dil]
type = SolidMechanicsHardeningConstant
value = 0.65
[../]
[./dp_tensile_str_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.4 # MPa
rate = 1.0
[../]
[./dp_compressive_str]
type = SolidMechanicsHardeningConstant
value = 1.0E3 # Large!
[../]
[./drucker_prager_model]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = dp_coh_strong_harden
mc_friction_angle = dp_fric
mc_dilation_angle = dp_dil
internal_constraint_tolerance = 1 # irrelevant here
yield_function_tolerance = 1 # irrelevant here
[../]
[./wp_coh]
type = SolidMechanicsHardeningConstant
value = 1E12
[../]
[./wp_tan_fric]
type = SolidMechanicsHardeningConstant
value = 0.36 # 20deg
[../]
[./wp_tan_dil]
type = SolidMechanicsHardeningConstant
value = 0.18 # 10deg
[../]
[./wp_tensile_str]
type = SolidMechanicsHardeningConstant
value = 1E12
[../]
[./wp_compressive_str]
type = SolidMechanicsHardeningConstant
value = 1E12
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = 'ini_xx 0 0 0 ini_xx 0 0 0 ini_zz'
eigenstrain_name = ini_stress
[../]
[./stress]
# this is needed so as to correctly apply the initial stress
type = ComputeMultipleInelasticCosseratStress
block = 0
inelastic_models = ''
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[../]
[./dp]
type = CappedDruckerPragerCosseratStressUpdate
block = 0
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = dp
DP_model = drucker_prager_model
tensile_strength = dp_tensile_str_strong_harden
compressive_strength = dp_compressive_str
max_NR_iterations = 100000
tip_smoother = 0.1E1
smoothing_tol = 0.1E1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-11 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0
[../]
[./wp]
type = CappedWeakPlaneCosseratStressUpdate
block = 0
warn_about_precision_loss = false
base_name = wp
cohesion = wp_coh
tan_friction_angle = wp_tan_fric
tan_dilation_angle = wp_tan_dil
tensile_strength = wp_tensile_str
compressive_strength = wp_compressive_str
max_NR_iterations = 10000
tip_smoother = 0.1
smoothing_tol = 0.1 # MPa # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
yield_function_tol = 1E-11 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0E-3
[../]
[./density]
type = GenericConstantMaterial
prop_names = density
prop_values = 2500
[../]
[]
[Postprocessors]
[./subs_max]
type = PointValue
point = '0 0 403.003'
variable = disp_z
use_displaced_mesh = false
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'Linear'
petsc_options = '-snes_converged_reason'
petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
petsc_options_value = ' asm 2 lu gmres 200'
line_search = bt
nl_abs_tol = 1e-3
nl_rel_tol = 1e-5
l_max_its = 30
nl_max_its = 1000
start_time = 0.0
dt = 1.0
end_time = 1.0
[]
[Outputs]
file_base = cosserat_elastic
time_step_interval = 1
print_linear_residuals = false
exodus = true
csv = true
console = true
#[./console]
# type = Console
# output_linear = false
#[../]
[]
(modules/solid_mechanics/test/tests/static_deformations/cosserat_glide.i)
# Example taken from Appendix A of
# S Forest "Mechanics of Cosserat media An introduction". Available from http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.154.4476&rep=rep1&type=pdf
#
# Analytically, the displacements are
# wc_z = B sinh(w_e y)
# disp_x = (2 mu_c B / w_e / (mu + mu_c)) (1 - cosh(w_e y))
# with w_e^2 = 2 mu mu_c / be / (mu + mu_c)
# and B = arbitrary integration constant
#
# Also, the only nonzero stresses are
# m_zy = 2 B be w_e cosh(w_e y)
# si_yx = -4 mu mu_c/(mu + mu_c) B sinh(w_e y)
#
# MOOSE gives these stress components correctly.
# However, it also gives a seemingly non-zero si_xy
# component. Upon increasing the resolution of the
# mesh (ny=10000, for example), the stress components
# are seen to limit correctly to the above forumlae
#
# I use mu = 2, mu_c = 3, be = 0.6, so w_e = 2
# Also i use B = 1, so at y = 1
# wc_z = 3.626860407847
# disp_x = -1.65731741465
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 100
ymax = 1
nz = 1
[]
[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]
[../]
[./wc_z]
[../]
[]
[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
[../]
[./z_couple]
type = StressDivergenceTensors
variable = wc_z
displacements = 'wc_x wc_y wc_z'
component = 2
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[./z_moment]
type = MomentBalancing
variable = wc_z
component = 2
[../]
[]
[BCs]
# zmin is called back
# zmax is called front
# ymin is called bottom
# ymax is called top
# xmin is called left
# xmax is called right
[./disp_x_zero_at_y_zero]
type = DirichletBC
variable = disp_x
boundary = bottom
value = 0
[../]
[./disp_x_fixed_at_y_max]
type = DirichletBC
variable = disp_x
boundary = top
value = -1.65731741465
[../]
[./no_dispy]
type = DirichletBC
variable = disp_y
boundary = 'back front bottom top left right'
value = 0
[../]
[./no_dispz]
type = DirichletBC
variable = disp_z
boundary = 'back front bottom top left right'
value = 0
[../]
[./no_wc_x]
type = DirichletBC
variable = wc_x
boundary = 'back front bottom top left right'
value = 0
[../]
[./no_wc_y]
type = DirichletBC
variable = wc_y
boundary = 'back front bottom top left right'
value = 0
[../]
[./wc_z_zero_at_y_zero]
type = DirichletBC
variable = wc_z
boundary = bottom
value = 0
[../]
[./wc_z_fixed_at_y_max]
type = DirichletBC
variable = wc_z
boundary = top
value = 3.626860407847
[../]
[]
[AuxVariables]
[./stress_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zz]
family = MONOMIAL
order = CONSTANT
[../]
[./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
[../]
[]
[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
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeCosseratElasticityTensor
B_ijkl = '1.1 0.6 0.6' # In Forest notation this is alpha=1.1 (this is unimportant), beta=gamma=0.6.
fill_method_bending = 'general_isotropic'
E_ijkl = '1 2 3' # In Forest notation this is lambda=1 (this is unimportant), mu=2, mu_c=3
fill_method = 'general_isotropic'
[../]
[./strain]
type = ComputeCosseratSmallStrain
[../]
[./stress]
type = ComputeCosseratLinearElasticStress
[../]
[]
[VectorPostprocessors]
[./soln]
type = LineValueSampler
warn_discontinuous_face_values = false
sort_by = y
variable = 'disp_x wc_z stress_yx couple_stress_zy'
start_point = '0 0 0'
end_point = '0 1 0'
num_points = 11
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol'
petsc_options_value = 'gmres asm lu 1E-10 1E-14 10 1E-15 1E-10'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
num_steps = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = cosserat_glide_out
exodus = true
csv = true
[]
(modules/solid_mechanics/test/tests/modal_analysis/modal.i)
index = 0
[Mesh]
[gmg]
type = GeneratedMeshGenerator
elem_type = HEX8
dim = 3
xmin = 0
xmax = 1.0
nx = 10
ymin = 0
ymax = 0.1
ny = 1
zmin = 0
zmax = 0.15
nz = 2
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[Kernels]
[mass_x]
type = ADCoefReaction
variable = disp_x
extra_vector_tags = 'eigen'
coefficient = -2.7e3
[]
[mass_y]
type = ADCoefReaction
variable = disp_y
extra_vector_tags = 'eigen'
coefficient = -2.7e3
[]
[mass_z]
type = ADCoefReaction
variable = disp_z
extra_vector_tags = 'eigen'
coefficient = -2.7e3
[]
[stiffness_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[stiffness_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[stiffness_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[]
[BCs]
[dirichlet_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left'
[]
[dirichlet_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left'
[]
[dirichlet_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left'
[]
[dirichlet_x_e]
type = EigenDirichletBC
variable = disp_x
boundary = 'left'
[]
[dirichlet_y_e]
type = EigenDirichletBC
variable = disp_y
boundary = 'left'
[]
[dirichlet_z_e]
type = EigenDirichletBC
variable = disp_z
boundary = 'left'
[]
[]
[Materials]
[elastic_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 68e9
poissons_ratio = 0.36
[]
[compute_stress]
type = ComputeLinearElasticStress
[]
[compute_strain]
type = ComputeSmallStrain
[]
[]
[Executioner]
type = Eigenvalue
solve_type = KRYLOVSCHUR
which_eigen_pairs = SMALLEST_MAGNITUDE
n_eigen_pairs = 2
n_basis_vectors = 5
petsc_options = '-eps_monitor_all -eps_view'
petsc_options_iname = '-st_type -eps_target -st_pc_type -st_pc_factor_mat_solver_type'
petsc_options_value = 'sinvert 0 lu mumps'
eigen_tol = 1e-8
[]
[VectorPostprocessors]
[omega_squared]
type = Eigenvalues
execute_on = TIMESTEP_END
[]
[]
[Problem]
type = EigenProblem
active_eigen_index = ${index}
[]
[Outputs]
csv = true
exodus = true
execute_on = 'timestep_end'
[]
(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/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/porous_flow/test/tests/mass_conservation/mass04.i)
# The sample is a single unit element, with roller BCs on the sides
# and bottom. A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow.
# Fluid mass conservation is checked.
#
# Under these conditions
# porepressure = porepressure(t=0) - (Fluid bulk modulus)*log(1 - 0.01*t)
# stress_xx = (bulk - 2*shear/3)*disp_z/L (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*disp_z/L (remember this is effective stress)
# where L is the height of the sample (L=1 in this test)
#
# Parameters:
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 0.5
# initial porepressure = 0.1
#
# Desired output:
# zdisp = -0.01*t
# p0 = 0.1 - 0.5*log(1-0.01*t)
# stress_xx = stress_yy = -0.01*t
# stress_zz = -0.04*t
#
# Regarding the "log" - it comes from preserving fluid mass
[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'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
initial_condition = 0.1
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_z
function = -0.01*t
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
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_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_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '0.5 0 0 0 0.5 0 0 0 0.5'
[]
[]
[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
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
use_displaced_mesh = false
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 2
[]
[Outputs]
execute_on = 'initial timestep_end'
file_base = mass04
[csv]
type = CSV
[]
[]
(modules/solid_mechanics/test/tests/jacobian/thermal_coupling.i)
# Thermal eigenstrain coupling
[Mesh]
type = GeneratedMesh
dim = 3
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./temperature]
[../]
[]
[Kernels]
[./cx_elastic]
type = StressDivergenceTensors
variable = disp_x
temperature = temperature
eigenstrain_names = thermal_contribution
component = 0
[../]
[./cy_elastic]
type = StressDivergenceTensors
variable = disp_y
temperature = temperature
eigenstrain_names = thermal_contribution
component = 1
[../]
[./cz_elastic]
type = StressDivergenceTensors
variable = disp_z
temperature = temperature
eigenstrain_names = thermal_contribution
component = 2
[../]
[./temperature]
type = Diffusion
variable = temperature
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 10.0
poissons_ratio = 0.25
[../]
[./strain]
type = ComputeSmallStrain
eigenstrain_names = thermal_contribution
[../]
[./thermal_expansion]
type = ComputeThermalExpansionEigenstrain
temperature = temperature
thermal_expansion_coeff = 1.0E2
eigenstrain_name = thermal_contribution
stress_free_temperature = 0.0
[../]
[./admissible]
type = ComputeLinearElasticStress
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-snes_type'
petsc_options_value = 'test'
[../]
[]
[Executioner]
solve_type = NEWTON
end_time = 1
dt = 1
type = Transient
[]
(modules/porous_flow/test/tests/energy_conservation/heat04.i)
# The sample is a single unit element, with fixed displacements on
# all sides. A heat source of strength S (J/m^3/s) is applied into
# the element. There is no fluid flow or heat flow. The rise
# in temperature, porepressure and stress, and the change in porosity is
# matched with theory.
#
# In this case, fluid mass must be conserved, and there is no
# volumetric strain, so
# porosity * fluid_density = constant
# Also, the energy-density in the rock-fluid system increases with S:
# d/dt [(1 - porosity) * rock_density * rock_heat_cap * T + porosity * fluid_density * fluid_heat_cap * T] = S
# Also, the porosity evolves according to THM as
# porosity = biot + (porosity0 - biot) * exp( (biot - 1) * P / fluid_bulk + rock_thermal_exp * T)
# Finally, the effective stress must be exactly zero (as there is
# no strain).
#
# Let us assume that
# fluid_density = dens0 * exp(P / fluid_bulk - fluid_thermal_exp * T)
# Then the conservation of fluid mass means
# porosity = por0 * exp(- P / fluid_bulk + fluid_thermal_exp * T)
# where dens0 * por0 = the initial fluid mass.
# The last expression for porosity, combined with the THM one,
# and assuming that biot = 1 for simplicity, gives
# porosity = 1 + (porosity0 - 1) * exp(rock_thermal_exp * T) = por0 * exp(- P / fluid_bulk + fluid_thermal_exp * T) .... (A)
#
# This stuff may be substituted into the heat energy-density equation:
# S = d/dt [(1 - porosity0) * exp(rock_thermal_exp * T) * rock_density * rock_heat_cap * T + porosity * fluid_density * fluid_heat_cap * T]
#
# If S is constant then
# S * t = (1 - porosity0) * exp(rock_thermal_exp * T) * rock_density * rock_heat_cap * T + porosity * fluid_density * fluid_heat_cap * T
# with T(t=0) = 0 then Eqn(A) implies that por0 = porosity0 and
# P / fluid_bulk = fluid_thermal_exp * T - log(1 + (por0 - 1) * exp(rock_thermal_exp * T)) + log(por0)
#
# Parameters:
# A = 2
# fluid_bulk = 2.0
# dens0 = 3.0
# fluid_thermal_exp = 0.5
# fluid_heat_cap = 2
# por0 = 0.5
# rock_thermal_exp = 0.25
# rock_density = 5
# rock_heat_capacity = 0.2
[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
[]
[FluidProperties]
[the_simple_fluid]
type = SimpleFluidProperties
thermal_expansion = 0.5
cv = 2
cp = 2
bulk_modulus = 2.0
density0 = 3.0
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
[]
[temp]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 1.0
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 1.0
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 1.0
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = pp
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
[]
[temp]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[poro_vol_exp_temp]
type = PorousFlowHeatVolumetricExpansion
variable = temp
[]
[heat_source]
type = BodyForce
function = 1
variable = temp
[]
[]
[Functions]
[err_T_fcn]
type = ParsedFunction
symbol_names = 'por0 rte temp rd rhc m0 fhc source'
symbol_values = '0.5 0.25 t0 5 0.2 1.5 2 1'
expression = '((1-por0)*exp(rte*temp)*rd*rhc*temp+m0*fhc*temp-source*t)/(source*t)'
[]
[err_pp_fcn]
type = ParsedFunction
symbol_names = 'por0 rte temp rd rhc m0 fhc source bulk pp fte'
symbol_values = '0.5 0.25 t0 5 0.2 1.5 2 1 2 p0 0.5'
expression = '(bulk*(fte*temp-log(1+(por0-1)*exp(rte*temp))+log(por0))-pp)/pp'
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
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_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_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[porosity]
type = PorousFlowPropertyAux
property = porosity
variable = porosity
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'temp pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[porosity]
type = PorousFlowPorosity
thermal = true
fluid = true
mechanical = true
ensure_positive = false
biot_coefficient = 1.0
porosity_zero = 0.5
thermal_expansion_coeff = 0.25
solid_bulk = 2
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 0.2
density = 5.0
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
temperature_unit = Kelvin
fp = the_simple_fluid
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'timestep_end'
point = '0 0 0'
variable = pp
[]
[t0]
type = PointValue
outputs = 'console csv'
execute_on = 'timestep_end'
point = '0 0 0'
variable = temp
[]
[porosity]
type = PointValue
outputs = 'console csv'
execute_on = 'timestep_end'
point = '0 0 0'
variable = porosity
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'timestep_end'
outputs = 'console csv'
[]
[total_heat]
type = PorousFlowHeatEnergy
phase = 0
execute_on = 'timestep_end'
outputs = 'console csv'
[]
[err_T]
type = FunctionValuePostprocessor
function = err_T_fcn
[]
[err_P]
type = FunctionValuePostprocessor
function = err_pp_fcn
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-12 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1
end_time = 5
[]
[Outputs]
execute_on = 'initial timestep_end'
file_base = heat04
[csv]
type = CSV
[]
[]
(modules/porous_flow/test/tests/poro_elasticity/terzaghi_fully_saturated_volume.i)
# Terzaghi's problem of consolodation of a drained medium
# The FullySaturated Kernels are used, with multiply_by_density = false
# so that this becomes a linear problem with constant Biot Modulus
#
# A saturated soil sample sits in a bath of water.
# It is constrained on its sides, and bottom.
# Its sides and bottom are also impermeable.
# Initially it is unstressed.
# A normal stress, q, is applied to the soil's top.
# The soil then slowly compresses as water is squeezed
# out from the sample from its top (the top BC for
# the porepressure is porepressure = 0).
#
# See, for example. Section 2.2 of the online manuscript
# Arnold Verruijt "Theory and Problems of Poroelasticity" Delft University of Technology 2013
# but note that the "sigma" in that paper is the negative
# of the stress in TensorMechanics
#
# Here are the problem's parameters, and their values:
# Soil height. h = 10
# Soil's Lame lambda. la = 2
# Soil's Lame mu, which is also the Soil's shear modulus. mu = 3
# Soil bulk modulus. K = la + 2*mu/3 = 4
# Soil confined compressibility. m = 1/(K + 4mu/3) = 0.125
# Soil bulk compliance. 1/K = 0.25
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Soil initial storativity, which is the reciprocal of the initial Biot modulus. S = phi0/Kf + (alpha - phi0)(1 - alpha)/K = 0.0625
# Consolidation coefficient. c = k/(S + alpha^2 m) = 13.95348837
# Normal stress on top. q = 1
# Initial porepressure, resulting from instantaneous application of q, assuming corresponding instantaneous increase of porepressure (Note that this is calculated by MOOSE: we only need it for the analytical solution). p0 = alpha*m*q/(S + alpha^2 m) = 0.69767442
# Initial vertical displacement (down is positive), resulting from instantaneous application of q (Note this is calculated by MOOSE: we only need it for the analytical solution). uz0 = q*m*h*S/(S + alpha^2 m)
# Final vertical displacement (down in positive) (Note this is calculated by MOOSE: we only need it for the analytical solution). uzinf = q*m*h
#
# The solution for porepressure is
# P = 4*p0/\pi \sum_{k=1}^{\infty} \frac{(-1)^{k-1}}{2k-1} \cos ((2k-1)\pi z/(2h)) \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
# This series converges very slowly for ct/h^2 small, so in that domain
# P = p0 erf( (1-(z/h))/(2 \sqrt(ct/h^2)) )
#
# The degree of consolidation is defined as
# U = (uz - uz0)/(uzinf - uz0)
# where uz0 and uzinf are defined above, and
# uz = the vertical displacement of the top (down is positive)
# U = 1 - (8/\pi^2)\sum_{k=1}^{\infty} \frac{1}{(2k-1)^2} \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 10
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = 0
zmax = 10
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[topdrained]
type = DirichletBC
variable = porepressure
value = 0
boundary = front
[]
[topload]
type = NeumannBC
variable = disp_z
value = -1
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[mass0]
type = PorousFlowFullySaturatedMassTimeDerivative
coupling_type = HydroMechanical
biot_coefficient = 0.6
multiply_by_density = false
variable = porepressure
[]
[flux]
type = PorousFlowFullySaturatedDarcyBase
multiply_by_density = false
variable = porepressure
gravity = '0 0 0'
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 0.96
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
# bulk modulus is lambda + 2*mu/3 = 2 + 2*3/3 = 4
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure_qp]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = porepressure
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid_qp]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst # only the initial value of this is used
porosity = 0.1
[]
[biot_modulus]
type = PorousFlowConstantBiotModulus
biot_coefficient = 0.6
fluid_bulk_modulus = 8
solid_bulk_compliance = 0.25
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
use_displaced_mesh = false
[]
[p1]
type = PointValue
outputs = csv
point = '0 0 1'
variable = porepressure
use_displaced_mesh = false
[]
[p2]
type = PointValue
outputs = csv
point = '0 0 2'
variable = porepressure
use_displaced_mesh = false
[]
[p3]
type = PointValue
outputs = csv
point = '0 0 3'
variable = porepressure
use_displaced_mesh = false
[]
[p4]
type = PointValue
outputs = csv
point = '0 0 4'
variable = porepressure
use_displaced_mesh = false
[]
[p5]
type = PointValue
outputs = csv
point = '0 0 5'
variable = porepressure
use_displaced_mesh = false
[]
[p6]
type = PointValue
outputs = csv
point = '0 0 6'
variable = porepressure
use_displaced_mesh = false
[]
[p7]
type = PointValue
outputs = csv
point = '0 0 7'
variable = porepressure
use_displaced_mesh = false
[]
[p8]
type = PointValue
outputs = csv
point = '0 0 8'
variable = porepressure
use_displaced_mesh = false
[]
[p9]
type = PointValue
outputs = csv
point = '0 0 9'
variable = porepressure
use_displaced_mesh = false
[]
[p99]
type = PointValue
outputs = csv
point = '0 0 10'
variable = porepressure
use_displaced_mesh = false
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 10'
variable = disp_z
use_displaced_mesh = false
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.5*t<0.1,0.5*t,0.1)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.0001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = terzaghi_fully_saturated_volume
[csv]
type = CSV
[]
[]
(modules/combined/test/tests/poro_mechanics/undrained_oedometer.i)
# An undrained oedometer test on a saturated poroelastic sample.
#
# The sample is a single unit element, with roller BCs on the sides
# and bottom. A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow.
#
# Under these conditions
# porepressure = -(Biot coefficient)*(Biot modulus)*disp_z/L
# stress_xx = (bulk - 2*shear/3)*disp_z/L (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*disp_z/L (remember this is effective stress)
# where L is the height of the sample (L=1 in this test)
#
# Parameters:
# Biot coefficient = 0.3
# Porosity = 0.1
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 1/0.3 = 3.333333
# 1/Biot modulus = (1 - 0.3)*(0.3 - 0.1)/2 + 0.1*0.3 = 0.1. BiotModulus = 10
#
# Desired output:
# zdisp = -0.01*t
# p0 = 0.03*t
# stress_xx = stress_yy = -0.01*t
# stress_zz = -0.04*t
[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'
porepressure = porepressure
block = 0
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./porepressure]
[../]
[]
[BCs]
[./confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[../]
[./confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[../]
[./basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[../]
[./top_velocity]
type = FunctionDirichletBC
variable = disp_z
function = -0.01*t
boundary = front
[../]
[]
[Kernels]
[./grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[../]
[./grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[../]
[./grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[../]
[./poro_x]
type = PoroMechanicsCoupling
variable = disp_x
component = 0
[../]
[./poro_y]
type = PoroMechanicsCoupling
variable = disp_y
component = 1
[../]
[./poro_z]
type = PoroMechanicsCoupling
variable = disp_z
component = 2
[../]
[./poro_timederiv]
type = PoroFullSatTimeDerivative
variable = porepressure
[../]
[]
[AuxVariables]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
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_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_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[../]
[./strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./poro_material]
type = PoroFullSatMaterial
porosity0 = 0.1
biot_coefficient = 0.3
solid_bulk_compliance = 0.5
fluid_bulk_compliance = 0.3
constant_porosity = true
[../]
[]
[Postprocessors]
[./p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[../]
[./zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[../]
[./stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[../]
[./stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[../]
[./stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = undrained_oedometer
[./csv]
type = CSV
[../]
[]
(modules/porous_flow/test/tests/jacobian/denergy03.i)
# 2phase, 1 component, with solid displacements, time derivative of energy-density, TM porosity
[Mesh]
type = GeneratedMesh
dim = 3
nx = 2
xmin = 0
xmax = 1
ny = 1
ymin = 0
ymax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pgas]
[]
[pwater]
[]
[temp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pgas]
type = RandomIC
variable = pgas
max = 1.0
min = 0.0
[]
[pwater]
type = RandomIC
variable = pwater
max = 0.0
min = -1.0
[]
[temp]
type = RandomIC
variable = temp
max = 1.0
min = 0.0
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[dummy_pgas]
type = Diffusion
variable = pgas
[]
[dummy_pwater]
type = Diffusion
variable = pwater
[]
[energy_dot]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pgas temp pwater disp_x disp_y disp_z'
number_fluid_phases = 2
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid0]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
cv = 1.3
[]
[simple_fluid1]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 0.5
thermal_expansion = 0
cv = 0.7
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[porosity]
type = PorousFlowPorosity
thermal = true
mechanical = true
porosity_zero = 0.7
thermal_expansion_coeff = 0.5
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1.1
density = 0.5
[]
[ppss]
type = PorousFlow2PhasePP
phase0_porepressure = pwater
phase1_porepressure = pgas
capillary_pressure = pc
[]
[simple_fluid0]
type = PorousFlowSingleComponentFluid
fp = simple_fluid0
phase = 0
[]
[simple_fluid1]
type = PorousFlowSingleComponentFluid
fp = simple_fluid1
phase = 1
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
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]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined_fully_saturated.i)
# A sample is constrained on all sides, except its top
# and its boundaries are
# also impermeable. Fluid is pumped into the sample via a
# volumetric source (ie kg/second per cubic meter), and the
# rise in the top surface, porepressure, and stress are observed.
#
# In the standard poromechanics scenario, the Biot Modulus is held
# fixed and the source has units 1/time. Then the expected result
# is
# strain_zz = disp_z = BiotCoefficient*BiotModulus*s*t/((bulk + 4*shear/3) + BiotCoefficient^2*BiotModulus)
# porepressure = BiotModulus*(s*t - BiotCoefficient*strain_zz)
# stress_xx = (bulk - 2*shear/3)*strain_zz (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*strain_zz (remember this is effective stress)
#
# In porous_flow, however, the source has units kg/s/m^3. The ratios remain
# fixed:
# stress_xx/strain_zz = (bulk - 2*shear/3) = 1 (for the parameters used here)
# stress_zz/strain_zz = (bulk + 4*shear/3) = 4 (for the parameters used here)
# porepressure/strain_zz = 13.3333333 (for the parameters used here)
#
# Expect
# disp_z = 0.3*10*s*t/((2 + 4*1.5/3) + 0.3^2*10) = 0.612245*s*t
# porepressure = 10*(s*t - 0.3*0.612245*s*t) = 8.163265*s*t
# stress_xx = (2 - 2*1.5/3)*0.612245*s*t = 0.612245*s*t
# stress_zz = (2 + 4*shear/3)*0.612245*s*t = 2.44898*s*t
# The relationship between the constant poroelastic source
# s (m^3/second/m^3) and the PorousFlow source, S (kg/second/m^3) is
# S = fluid_density * s = s * exp(porepressure/fluid_bulk)
[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'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[mass0]
type = PorousFlowFullySaturatedMassTimeDerivative
variable = porepressure
coupling_type = HydroMechanical
biot_coefficient = 0.3
[]
[source]
type = BodyForce
function = '0.1*exp(8.163265306*0.1*t/3.3333333333)'
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
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_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_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 3.3333333333
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature_qp]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = porepressure
[]
[simple_fluid_qp]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst # the "const" is irrelevant here: all that uses Porosity is the BiotModulus, which just uses the initial value of porosity
porosity = 0.1
[]
[biot_modulus]
type = PorousFlowConstantBiotModulus
biot_coefficient = 0.3
fluid_bulk_modulus = 3.3333333333
solid_bulk_compliance = 0.5
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[stress_xx_over_strain]
type = FunctionValuePostprocessor
function = stress_xx_over_strain_fcn
outputs = csv
[]
[stress_zz_over_strain]
type = FunctionValuePostprocessor
function = stress_zz_over_strain_fcn
outputs = csv
[]
[p_over_strain]
type = FunctionValuePostprocessor
function = p_over_strain_fcn
outputs = csv
[]
[]
[Functions]
[stress_xx_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_xx zdisp'
[]
[stress_zz_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_zz zdisp'
[]
[p_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'p0 zdisp'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = pp_generation_unconfined_fully_saturated
[csv]
type = CSV
[]
[]
(modules/porous_flow/test/tests/jacobian/heat_vol_exp01.i)
# Tests the PorousFlowHeatVolumetricExpansion kernel
# Fluid with constant bulk modulus, van-Genuchten capillary, THM porosity
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[temperature]
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[p]
type = RandomIC
min = -1
max = 0
variable = porepressure
[]
[t]
type = RandomIC
min = 1
max = 2
variable = temperature
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[]
[dummy]
type = TimeDerivative
variable = porepressure
[]
[temp]
type = PorousFlowHeatVolumetricExpansion
variable = temperature
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure temperature disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
cv = 1.3
[]
[]
[Materials]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[temperature]
type = PorousFlowTemperature
temperature = temperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss_nodal]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
thermal = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
thermal_expansion_coeff = 0.1
reference_temperature = 0.1
reference_porepressure = 0.2
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1.1
density = 0.5
[]
[]
[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]
type = Transient
solve_type = Newton
dt = 1E-5
[]
[Outputs]
execute_on = 'timestep_end'
file_base = jacobian2
exodus = false
[]
(modules/porous_flow/test/tests/poro_elasticity/mandel.i)
# Mandel's problem of consolodation of a drained medium
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed. The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width. a = 1
# Soil height. b = 0.1
# Soil's Lame lambda. la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus. mu = G = 0.75
# Soil bulk modulus. K = la + 2*mu/3 = 1
# Drained Poisson ratio. nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance. 1/K = 1
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Biot modulus. M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio. nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient. B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Consolidation coefficient. c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top. F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here
#
# FINAL NOTE: The above solution assumes constant Biot Modulus.
# In porous_flow this is not true. Therefore the solution is
# a little different than in the paper. This test was therefore
# validated against MOOSE's poromechanics, which can choose either
# a constant Biot Modulus (which has been shown to agree with
# the analytic solution), or a non-constant Biot Modulus (which
# gives the same results as porous_flow).
[Mesh]
type = GeneratedMesh
dim = 3
nx = 10
ny = 1
nz = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 0.1
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[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 = 0.8
alpha = 1e-5
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[roller_xmin]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left'
[]
[roller_ymin]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom'
[]
[plane_strain]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[xmax_drained]
type = DirichletBC
variable = porepressure
value = 0
boundary = right
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_y
function = top_velocity
boundary = top
[]
[]
[Functions]
[top_velocity]
type = PiecewiseLinear
x = '0 0.002 0.006 0.014 0.03 0.046 0.062 0.078 0.094 0.11 0.126 0.142 0.158 0.174 0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
y = '-0.041824842 -0.042730269 -0.043412712 -0.04428867 -0.045509181 -0.04645965 -0.047268246 -0.047974749 -0.048597109 -0.0491467 -0.049632388 -0.050061697 -0.050441198 -0.050776675 -0.051073238 -0.0513354 -0.051567152 -0.051772022 -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[tot_force]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[tot_force]
type = ParsedAux
coupled_variables = 'stress_yy porepressure'
execute_on = timestep_end
variable = tot_force
expression = '-stress_yy+0.6*porepressure'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[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]
type = PorousFlowPorosity
fluid = true
mechanical = true
ensure_positive = false
porosity_zero = 0.1
biot_coefficient = 0.6
solid_bulk = 1
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0.0 0 0'
variable = porepressure
[]
[p1]
type = PointValue
outputs = csv
point = '0.1 0 0'
variable = porepressure
[]
[p2]
type = PointValue
outputs = csv
point = '0.2 0 0'
variable = porepressure
[]
[p3]
type = PointValue
outputs = csv
point = '0.3 0 0'
variable = porepressure
[]
[p4]
type = PointValue
outputs = csv
point = '0.4 0 0'
variable = porepressure
[]
[p5]
type = PointValue
outputs = csv
point = '0.5 0 0'
variable = porepressure
[]
[p6]
type = PointValue
outputs = csv
point = '0.6 0 0'
variable = porepressure
[]
[p7]
type = PointValue
outputs = csv
point = '0.7 0 0'
variable = porepressure
[]
[p8]
type = PointValue
outputs = csv
point = '0.8 0 0'
variable = porepressure
[]
[p9]
type = PointValue
outputs = csv
point = '0.9 0 0'
variable = porepressure
[]
[p99]
type = PointValue
outputs = csv
point = '1 0 0'
variable = porepressure
[]
[xdisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_x
[]
[ydisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_y
[]
[total_downwards_force]
type = ElementAverageValue
outputs = csv
variable = tot_force
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.15*t<0.01,0.15*t,0.01)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'gmres asm lu 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 0.7
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = mandel
[csv]
time_step_interval = 3
type = CSV
[]
[]
(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/porous_flow/test/tests/poro_elasticity/mandel_fully_saturated_volume.i)
# Mandel's problem of consolodation of a drained medium
# Using the FullySaturatedDarcyBase and FullySaturatedFullySaturatedMassTimeDerivative kernels
# with multiply_by_density = false, so that this problem becomes linear
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed. The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width. a = 1
# Soil height. b = 0.1
# Soil's Lame lambda. la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus. mu = G = 0.75
# Soil bulk modulus. K = la + 2*mu/3 = 1
# Drained Poisson ratio. nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance. 1/K = 1
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Biot modulus. M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio. nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient. B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Consolidation coefficient. c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top. F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here
[Mesh]
type = GeneratedMesh
dim = 3
nx = 10
ny = 1
nz = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 0.1
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[roller_xmin]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left'
[]
[roller_ymin]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom'
[]
[plane_strain]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[xmax_drained]
type = DirichletBC
variable = porepressure
value = 0
boundary = right
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_y
function = top_velocity
boundary = top
[]
[]
[Functions]
[top_velocity]
type = PiecewiseLinear
x = '0 0.002 0.006 0.014 0.03 0.046 0.062 0.078 0.094 0.11 0.126 0.142 0.158 0.174 0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
y = '-0.041824842 -0.042730269 -0.043412712 -0.04428867 -0.045509181 -0.04645965 -0.047268246 -0.047974749 -0.048597109 -0.0491467 -0.049632388 -0.050061697 -0.050441198 -0.050776675 -0.051073238 -0.0513354 -0.051567152 -0.051772022 -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[tot_force]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[tot_force]
type = ParsedAux
coupled_variables = 'stress_yy porepressure'
execute_on = timestep_end
variable = tot_force
expression = '-stress_yy+0.6*porepressure'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[mass0]
type = PorousFlowFullySaturatedMassTimeDerivative
biot_coefficient = 0.6
multiply_by_density = false
coupling_type = HydroMechanical
variable = porepressure
[]
[flux]
type = PorousFlowFullySaturatedDarcyBase
multiply_by_density = false
variable = porepressure
gravity = '0 0 0'
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure_qp]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = porepressure
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid_qp]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst # only the initial value of this is ever used
porosity = 0.1
[]
[biot_modulus]
type = PorousFlowConstantBiotModulus
biot_coefficient = 0.6
solid_bulk_compliance = 1
fluid_bulk_modulus = 8
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0.0 0 0'
variable = porepressure
[]
[p1]
type = PointValue
outputs = csv
point = '0.1 0 0'
variable = porepressure
[]
[p2]
type = PointValue
outputs = csv
point = '0.2 0 0'
variable = porepressure
[]
[p3]
type = PointValue
outputs = csv
point = '0.3 0 0'
variable = porepressure
[]
[p4]
type = PointValue
outputs = csv
point = '0.4 0 0'
variable = porepressure
[]
[p5]
type = PointValue
outputs = csv
point = '0.5 0 0'
variable = porepressure
[]
[p6]
type = PointValue
outputs = csv
point = '0.6 0 0'
variable = porepressure
[]
[p7]
type = PointValue
outputs = csv
point = '0.7 0 0'
variable = porepressure
[]
[p8]
type = PointValue
outputs = csv
point = '0.8 0 0'
variable = porepressure
[]
[p9]
type = PointValue
outputs = csv
point = '0.9 0 0'
variable = porepressure
[]
[p99]
type = PointValue
outputs = csv
point = '1 0 0'
variable = porepressure
[]
[xdisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_x
[]
[ydisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_y
[]
[total_downwards_force]
type = ElementAverageValue
outputs = csv
variable = tot_force
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.15*t<0.01,0.15*t,0.01)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'gmres asm lu 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 0.7
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = mandel_fully_saturated_volume
[csv]
time_step_interval = 3
type = CSV
[]
[]
(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/mc_update33_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Compressive + shear failure, starting from a symmetric stress state
[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 = 1E6
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1
[../]
[./coh]
type = SolidMechanicsHardeningConstant
value = 4E1
[../]
[./phi]
type = SolidMechanicsHardeningConstant
value = 35
convert_to_radians = true
[../]
[./psi]
type = SolidMechanicsHardeningConstant
value = 5
convert_to_radians = true
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 1
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 2.0
joint_shear_stiffness = 1.0
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '-10 -12 14 -12 -5 -20 14 -20 -8'
eigenstrain_name = ini_stress
[../]
[./cmc]
type = CappedMohrCoulombCosseratStressUpdate
host_youngs_modulus = 1
host_poissons_ratio = 0.25
tensile_strength = ts
compressive_strength = cs
cohesion = coh
friction_angle = phi
dilation_angle = psi
smoothing_tol = 0.5
yield_function_tol = 1.0E-12
[../]
[./stress]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = cmc
perform_finite_strain_rotations = false
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-snes_type'
petsc_options_value = 'test'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
[]
(modules/porous_flow/test/tests/jacobian/mass10.i)
# 1phase
# vanGenuchten, constant-bulk density, HM porosity, 1component, unsaturated
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pp]
type = RandomIC
variable = pp
min = -1
max = 1
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
strain_at_nearest_qp = true
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = pp
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
strain_at_nearest_qp = true
[]
[nearest_qp]
type = PorousFlowNearestQp
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
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]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/porous_flow/test/tests/poro_elasticity/terzaghi_constM.i)
# Terzaghi's problem of consolodation of a drained medium
#
# A saturated soil sample sits in a bath of water.
# It is constrained on its sides, and bottom.
# Its sides and bottom are also impermeable.
# Initially it is unstressed.
# A normal stress, q, is applied to the soil's top.
# The soil then slowly compresses as water is squeezed
# out from the sample from its top (the top BC for
# the porepressure is porepressure = 0).
#
# See, for example. Section 2.2 of the online manuscript
# Arnold Verruijt "Theory and Problems of Poroelasticity" Delft University of Technology 2013
# but note that the "sigma" in that paper is the negative
# of the stress in TensorMechanics
#
# Here are the problem's parameters, and their values:
# Soil height. h = 10
# Soil's Lame lambda. la = 2
# Soil's Lame mu, which is also the Soil's shear modulus. mu = 3
# Soil bulk modulus. K = la + 2*mu/3 = 4
# Soil confined compressibility. m = 1/(K + 4mu/3) = 0.125
# Soil bulk compliance. 1/K = 0.25
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Soil initial storativity, which is the reciprocal of the initial Biot modulus. S = phi0/Kf + (alpha - phi0)(1 - alpha)/K = 0.0625
# Consolidation coefficient. c = k/(S + alpha^2 m) = 13.95348837
# Normal stress on top. q = 1
# Initial porepressure, resulting from instantaneous application of q, assuming corresponding instantaneous increase of porepressure (Note that this is calculated by MOOSE: we only need it for the analytical solution). p0 = alpha*m*q/(S + alpha^2 m) = 0.69767442
# Initial vertical displacement (down is positive), resulting from instantaneous application of q (Note this is calculated by MOOSE: we only need it for the analytical solution). uz0 = q*m*h*S/(S + alpha^2 m)
# Final vertical displacement (down in positive) (Note this is calculated by MOOSE: we only need it for the analytical solution). uzinf = q*m*h
#
# The solution for porepressure is
# P = 4*p0/\pi \sum_{k=1}^{\infty} \frac{(-1)^{k-1}}{2k-1} \cos ((2k-1)\pi z/(2h)) \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
# This series converges very slowly for ct/h^2 small, so in that domain
# P = p0 erf( (1-(z/h))/(2 \sqrt(ct/h^2)) )
#
# The degree of consolidation is defined as
# U = (uz - uz0)/(uzinf - uz0)
# where uz0 and uzinf are defined above, and
# uz = the vertical displacement of the top (down is positive)
# U = 1 - (8/\pi^2)\sum_{k=1}^{\infty} \frac{1}{(2k-1)^2} \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 10
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = 0
zmax = 10
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[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 = 0.8
alpha = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[topdrained]
type = DirichletBC
variable = porepressure
value = 0
boundary = front
[]
[topload]
type = NeumannBC
variable = disp_z
value = -1
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 0.96
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
# bulk modulus is lambda + 2*mu/3 = 2 + 2*3/3 = 4
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[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]
type = PorousFlowPorosityHMBiotModulus
porosity_zero = 0.1
biot_coefficient = 0.6
solid_bulk = 4
constant_fluid_bulk_modulus = 8
constant_biot_modulus = 16
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
use_displaced_mesh = false
[]
[p1]
type = PointValue
outputs = csv
point = '0 0 1'
variable = porepressure
use_displaced_mesh = false
[]
[p2]
type = PointValue
outputs = csv
point = '0 0 2'
variable = porepressure
use_displaced_mesh = false
[]
[p3]
type = PointValue
outputs = csv
point = '0 0 3'
variable = porepressure
use_displaced_mesh = false
[]
[p4]
type = PointValue
outputs = csv
point = '0 0 4'
variable = porepressure
use_displaced_mesh = false
[]
[p5]
type = PointValue
outputs = csv
point = '0 0 5'
variable = porepressure
use_displaced_mesh = false
[]
[p6]
type = PointValue
outputs = csv
point = '0 0 6'
variable = porepressure
use_displaced_mesh = false
[]
[p7]
type = PointValue
outputs = csv
point = '0 0 7'
variable = porepressure
use_displaced_mesh = false
[]
[p8]
type = PointValue
outputs = csv
point = '0 0 8'
variable = porepressure
use_displaced_mesh = false
[]
[p9]
type = PointValue
outputs = csv
point = '0 0 9'
variable = porepressure
use_displaced_mesh = false
[]
[p99]
type = PointValue
outputs = csv
point = '0 0 10'
variable = porepressure
use_displaced_mesh = false
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 10'
variable = disp_z
use_displaced_mesh = false
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.5*t<0.1,0.5*t,0.1)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.0001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = terzaghi_constM
[csv]
type = CSV
[]
[]
(modules/solid_mechanics/test/tests/static_deformations/beam_cosserat_02_apply_disps.i)
# Beam bending.
# Displacements are applied to a beam and stresses and moment-stresses
# are measured. Note that since these quantities are averaged over
# elements, to get a good agreement with the analytical solution the
# number of elements (nz) should be increased. Using nx=10
# and nz=10 yields roughly 1% error.
# The displacements applied are a pure-bend around the y axis
# with an additional displacement in the y direction so that
# the result (below) will end up being plane stress (stress_yy=0):
# u_x = Axz
# u_y = Dzy
# u_z = -(A/2)x^2 + (D/2)(z^2-y^2)
# wc_x = -Dy
# wc_y = Ax
# wc_z = 0
# Here A and D are arbitrary constants.
# This results in strains being symmetric, and the only
# nonzero ones are
# ep_xx = Az
# ep_yy = Dz
# ep_zz = Dz
# kappa_xy = -D
# kappa_yx = A
# Then choosing D = -poisson*A gives, for layered Cosserat:
# stress_xx = EAz
# m_yx = (1-poisson^2)*A*B = (1/12)EAh^2 (last equality for joint_shear_stiffness=0)
# where h is the layer thickness. All other stress and moment-stress
# components are zero.
# The test uses: E=1.2, poisson=0.3, A=1.11E-2, h=2
[Mesh]
type = GeneratedMesh
dim = 3
nx = 10
xmax = 10
ny = 1
nz = 10
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]
# zmin is called back
# zmax is called front
# ymin is called bottom
# ymax is called top
# xmin is called left
# xmax is called right
[./clamp_z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'left right top bottom front back'
function = '-1.11E-2*x*x/2-0.3*(z*z-y*y)/2.0*1.11E-2'
[../]
[./clamp_y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'left right top bottom front back'
function = '-0.3*z*y*1.11E-2'
[../]
[./clamp_x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'left right top bottom front back'
function = '1.11E-2*x*z'
[../]
[./clamp_wc_x]
type = FunctionDirichletBC
variable = wc_x
boundary = 'left right top bottom front back'
function = '0.3*y*1.11E-2'
[../]
[./clamp_wc_y]
type = FunctionDirichletBC
variable = wc_y
boundary = 'left right top bottom front back'
function = '1.11E-2*x'
[../]
[]
[AuxVariables]
[./wc_z]
[../]
[./stress_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zz]
family = MONOMIAL
order = CONSTANT
[../]
[./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
[../]
[]
[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
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 1.2
poisson = 0.3
layer_thickness = 2.0
joint_normal_stiffness = 1E16
joint_shear_stiffness = 1E-15
[../]
[./strain]
type = ComputeCosseratSmallStrain
[../]
[./stress]
type = ComputeCosseratLinearElasticStress
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol -sub_pc_factor_shift_type'
petsc_options_value = 'gmres asm lu 1E-10 1E-14 10 1E-15 1E-10 NONZERO'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
num_steps = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = beam_cosserat_02_apply_disps
exodus = true
[]
(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/jacobian/mc_update8_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Tensile failure only, starting from a non-symmetric stress state, and
# using softening
[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 = SolidMechanicsHardeningCubic
value_0 = 1
value_residual = 0
internal_limit = 2E-3
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E6
[../]
[./coh]
type = SolidMechanicsHardeningConstant
value = 1E6
[../]
[./ang]
type = SolidMechanicsHardeningConstant
value = 30
convert_to_radians = true
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 3E3
poisson = 0.2
layer_thickness = 1.0
joint_normal_stiffness = 1.0E3
joint_shear_stiffness = 2.0E3
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '2 -1 0.5 1 1.9 0 0.5 0 3'
eigenstrain_name = ini_stress
[../]
[./cmc]
type = CappedMohrCoulombCosseratStressUpdate
host_youngs_modulus = 3E3
host_poissons_ratio = 0.2
tensile_strength = ts
compressive_strength = cs
cohesion = coh
friction_angle = ang
dilation_angle = ang
smoothing_tol = 0.1
yield_function_tol = 1.0E-12
[../]
[./stress]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = cmc
perform_finite_strain_rotations = false
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-snes_type'
petsc_options_value = 'test'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
[]
(modules/solid_mechanics/test/tests/jacobian/mc_update1_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Tensile failure only, starting from a symmetric stress state
# and returning to the plane
[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 = 1
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E6
[../]
[./coh]
type = SolidMechanicsHardeningConstant
value = 1E6
[../]
[./ang]
type = SolidMechanicsHardeningConstant
value = 30
convert_to_radians = true
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 3E3
poisson = 0.2
layer_thickness = 1.0
joint_normal_stiffness = 1.0E3
joint_shear_stiffness = 2.0E3
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '2 0 0 0 0 0 0 0 -2'
eigenstrain_name = ini_stress
[../]
[./cmc]
type = CappedMohrCoulombCosseratStressUpdate
host_youngs_modulus = 3E3
host_poissons_ratio = 0.2
tensile_strength = ts
compressive_strength = cs
cohesion = coh
friction_angle = ang
dilation_angle = ang
smoothing_tol = 0.1
yield_function_tol = 1.0E-12
[../]
[./stress]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = cmc
perform_finite_strain_rotations = false
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-snes_type'
petsc_options_value = 'test'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
[]
(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/porous_flow/test/tests/poro_elasticity/mandel_fully_saturated.i)
# Mandel's problem of consolodation of a drained medium
# Using the FullySaturatedDarcyBase and FullySaturatedMassTimeDerivative kernels
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed. The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width. a = 1
# Soil height. b = 0.1
# Soil's Lame lambda. la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus. mu = G = 0.75
# Soil bulk modulus. K = la + 2*mu/3 = 1
# Drained Poisson ratio. nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance. 1/K = 1
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Biot modulus. M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio. nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient. B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Consolidation coefficient. c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top. F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here
[Mesh]
type = GeneratedMesh
dim = 3
nx = 10
ny = 1
nz = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 0.1
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[roller_xmin]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left'
[]
[roller_ymin]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom'
[]
[plane_strain]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[xmax_drained]
type = DirichletBC
variable = porepressure
value = 0
boundary = right
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_y
function = top_velocity
boundary = top
[]
[]
[Functions]
[top_velocity]
type = PiecewiseLinear
x = '0 0.002 0.006 0.014 0.03 0.046 0.062 0.078 0.094 0.11 0.126 0.142 0.158 0.174 0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
y = '-0.041824842 -0.042730269 -0.043412712 -0.04428867 -0.045509181 -0.04645965 -0.047268246 -0.047974749 -0.048597109 -0.0491467 -0.049632388 -0.050061697 -0.050441198 -0.050776675 -0.051073238 -0.0513354 -0.051567152 -0.051772022 -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[tot_force]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[tot_force]
type = ParsedAux
coupled_variables = 'stress_yy porepressure'
execute_on = timestep_end
variable = tot_force
expression = '-stress_yy+0.6*porepressure'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[mass0]
type = PorousFlowFullySaturatedMassTimeDerivative
biot_coefficient = 0.6
coupling_type = HydroMechanical
variable = porepressure
[]
[flux]
type = PorousFlowFullySaturatedDarcyBase
variable = porepressure
gravity = '0 0 0'
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure_qp]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = porepressure
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid_qp]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst # only the initial value of this is ever used
porosity = 0.1
[]
[biot_modulus]
type = PorousFlowConstantBiotModulus
biot_coefficient = 0.6
solid_bulk_compliance = 1
fluid_bulk_modulus = 8
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0.0 0 0'
variable = porepressure
[]
[p1]
type = PointValue
outputs = csv
point = '0.1 0 0'
variable = porepressure
[]
[p2]
type = PointValue
outputs = csv
point = '0.2 0 0'
variable = porepressure
[]
[p3]
type = PointValue
outputs = csv
point = '0.3 0 0'
variable = porepressure
[]
[p4]
type = PointValue
outputs = csv
point = '0.4 0 0'
variable = porepressure
[]
[p5]
type = PointValue
outputs = csv
point = '0.5 0 0'
variable = porepressure
[]
[p6]
type = PointValue
outputs = csv
point = '0.6 0 0'
variable = porepressure
[]
[p7]
type = PointValue
outputs = csv
point = '0.7 0 0'
variable = porepressure
[]
[p8]
type = PointValue
outputs = csv
point = '0.8 0 0'
variable = porepressure
[]
[p9]
type = PointValue
outputs = csv
point = '0.9 0 0'
variable = porepressure
[]
[p99]
type = PointValue
outputs = csv
point = '1 0 0'
variable = porepressure
[]
[xdisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_x
[]
[ydisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_y
[]
[total_downwards_force]
type = ElementAverageValue
outputs = csv
variable = tot_force
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.15*t<0.01,0.15*t,0.01)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'gmres asm lu 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 0.7
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = mandel_fully_saturated
[csv]
time_step_interval = 3
type = CSV
[]
[]
(modules/solid_mechanics/test/tests/static_deformations/beam_cosserat_02_apply_stress.i)
# Beam bending.
# One end is clamped and the other end is subjected to a stress
# and micromechanical moment that will induce bending.
# The stress that will induce bending around the y axis is
# stress_xx = EAz
# This implies a micromechanical moment-stress of
# m_yx = (1/12)EAh^2 for joint_shear_stiffness=0.
# For joint_shear_stiffness!=0, the micromechanical moment-stress
# is
# m_yx = (1/12)EAa^2 G/(ak_s + G)
# All other stresses and moment stresses are assumed to be zero.
# With joint_shear_stiffness=0, and introducing D=-poisson*A, the
# nonzero strains are
# ep_xx = Az
# ep_yy = Dz
# ep_zz = Dz
# kappa_xy = -D
# kappa_yx = A
# This means the displacements are:
# u_x = Axz
# u_y = Dzy
# u_z = -(A/2)x^2 + (D/2)(z^2-y^2)
# wc_x = -Dy
# wc_y = Ax
# wc_z = 0
# This is bending of a bar around the y axis, in plane stress
# (stress_yy=0). Displacements at the left-hand (x=0) are applied
# according to the above formulae; wc_x and wc_y are applied throughout
# the bar; and stress_xx is applied at the right-hand end (x=10).
# The displacements are measured and
# compared with the above formulae.
# The test uses: E=1.2, poisson=0.3, A=1.11E-2, h=2, ks=0.1, so
# stress_xx = 1.332E-2*z
# m_yx = 0.2379E-2
[Mesh]
type = GeneratedMesh
dim = 3
nx = 10
ny = 1
nz = 10
xmin = 0
xmax = 10
ymin = -1
ymax = 1
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
#use_displaced_mesh = 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
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]
# zmin is called back
# zmax is called front
# ymin is called bottom
# ymax is called top
# xmin is called left
# xmax is called right
[./clamp_z]
type = FunctionDirichletBC
variable = disp_z
boundary = left
function = '-0.3*(z*z-y*y)/2.0*1.11E-2'
[../]
[./clamp_y]
type = FunctionDirichletBC
variable = disp_y
boundary = left
function = '-0.3*z*y*1.11E-2'
[../]
[./clamp_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[../]
[./end_stress]
type = FunctionNeumannBC
boundary = right
function = z*1.2*1.11E-2
variable = disp_x
[../]
[./fix_wc_x]
type = FunctionDirichletBC
variable = wc_x
boundary = 'left' # right top bottom front back'
function = '0.3*y*1.11E-2'
[../]
[./fix_wc_y]
type = FunctionDirichletBC
variable = wc_y
boundary = 'left' # right top bottom front back'
function = '1.11E-2*x'
[../]
[./end_moment]
type = VectorNeumannBC
boundary = right
variable = wc_y
vector_value = '2.3785714286E-3 0 0'
[../]
[]
[AuxVariables]
[./wc_z]
[../]
[./strain_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_xz]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_yx]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_yz]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_zx]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_zy]
family = MONOMIAL
order = CONSTANT
[../]
[./strain_zz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zz]
family = MONOMIAL
order = CONSTANT
[../]
[./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
[../]
[]
[AuxKernels]
[./strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xx
index_i = 0
index_j = 0
[../]
[./strain_xy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xy
index_i = 0
index_j = 1
[../]
[./strain_xz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_xz
index_i = 0
index_j = 2
[../]
[./strain_yx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_yx
index_i = 1
index_j = 0
[../]
[./strain_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_yy
index_i = 1
index_j = 1
[../]
[./strain_yz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_yz
index_i = 1
index_j = 2
[../]
[./strain_zx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_zx
index_i = 2
index_j = 0
[../]
[./strain_zy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_zy
index_i = 2
index_j = 1
[../]
[./strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_zz
index_i = 2
index_j = 2
[../]
[./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
[../]
[]
[VectorPostprocessors]
[./soln]
type = LineValueSampler
warn_discontinuous_face_values = false
sort_by = x
variable = 'disp_x disp_y disp_z stress_xx stress_xy stress_xz stress_yx stress_yy stress_yz stress_zx stress_zy stress_zz wc_x wc_y wc_z couple_stress_xx couple_stress_xy couple_stress_xz couple_stress_yx couple_stress_yy couple_stress_yz couple_stress_zx couple_stress_zy couple_stress_zz'
start_point = '0 0 0.5'
end_point = '10 0 0.5'
num_points = 11
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 1.2
poisson = 0.3
layer_thickness = 2.0
joint_normal_stiffness = 1E16
joint_shear_stiffness = 0.1
[../]
[./strain]
type = ComputeCosseratSmallStrain
[../]
[./stress]
type = ComputeCosseratLinearElasticStress
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol -ksp_max_it -sub_pc_factor_shift_type -pc_asm_overlap -ksp_gmres_restart'
petsc_options_value = 'gmres asm lu 1E-11 1E-11 10 1E-15 1E-10 100 NONZERO 2 100'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
num_steps = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = beam_cosserat_02_apply_stress
exodus = true
csv = true
[]
(modules/solid_mechanics/test/tests/jacobian/cto29.i)
# CappedDruckerPragerCosserat
[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 = SolidMechanicsHardeningCubic
value_0 = 1
value_residual = 2
internal_limit = 100
[../]
[./cs]
type = SolidMechanicsHardeningCubic
value_0 = 5
value_residual = 3
internal_limit = 100
[../]
[./mc_coh]
type = SolidMechanicsHardeningCubic
value_0 = 10
value_residual = 1
internal_limit = 100
[../]
[./phi]
type = SolidMechanicsHardeningCubic
value_0 = 0.8
value_residual = 0.4
internal_limit = 50
[../]
[./psi]
type = SolidMechanicsHardeningCubic
value_0 = 0.4
value_residual = 0
internal_limit = 10
[../]
[./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
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 2.1
poisson = 0.1
layer_thickness = 1.0
joint_normal_stiffness = 3.0
joint_shear_stiffness = 2.5
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '6 5 4 5.1 7 2 4 2.1 2'
eigenstrain_name = ini_stress
[../]
[./admissible]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = dp
[../]
[./dp]
type = CappedDruckerPragerCosseratStressUpdate
host_youngs_modulus = 2.1
host_poissons_ratio = 0.1
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-11
tip_smoother = 0.1
smoothing_tol = 0.1
[../]
[]
[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]
type = Transient
solve_type = Newton
[]
(modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain.i)
# This test is for two layer materials with different youngs modulus with AD
# The global stress is determined by switching the stress based on level set values
# The material interface is marked by a level set function
# The two layer materials are glued together
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[XFEM]
output_cut_plane = true
[]
[UserObjects]
[level_set_cut_uo]
type = LevelSetCutUserObject
level_set_var = ls
heal_always = true
[]
[]
[Mesh]
use_displaced_mesh = true
[generated_mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmin = 0
xmax = 5
ymin = 0
ymax = 5
elem_type = QUAD4
[]
[left_bottom]
type = ExtraNodesetGenerator
new_boundary = 'left_bottom'
coord = '0 0'
input = generated_mesh
[]
[left_top]
type = ExtraNodesetGenerator
new_boundary = 'left_top'
coord = '0 5'
input = left_bottom
[]
[]
[Functions]
[ls_func]
type = ParsedFunction
expression = 'y-2.73+t'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[ls]
[]
[a_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[a_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[a_strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[b_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[b_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[b_strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[ls_function]
type = FunctionAux
variable = ls
function = ls_func
[]
[a_strain_xx]
type = RankTwoAux
variable = a_strain_xx
rank_two_tensor = A_total_strain
index_i = 0
index_j = 0
[]
[a_strain_yy]
type = RankTwoAux
variable = a_strain_yy
rank_two_tensor = A_total_strain
index_i = 1
index_j = 1
[]
[a_strain_xy]
type = RankTwoAux
variable = a_strain_xy
rank_two_tensor = A_total_strain
index_i = 0
index_j = 1
[]
[b_strain_xx]
type = RankTwoAux
variable = b_strain_xx
rank_two_tensor = B_total_strain
index_i = 0
index_j = 0
[]
[b_strain_yy]
type = RankTwoAux
variable = b_strain_yy
rank_two_tensor = B_total_strain
index_i = 1
index_j = 1
[]
[b_strain_xy]
type = RankTwoAux
variable = b_strain_xy
rank_two_tensor = B_total_strain
index_i = 0
index_j = 1
[]
[stress_xx]
type = RankTwoAux
variable = stress_xx
rank_two_tensor = stress
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
variable = stress_xy
rank_two_tensor = stress
index_i = 0
index_j = 1
[]
[stress_yy]
type = RankTwoAux
variable = stress_yy
rank_two_tensor = stress
index_i = 1
index_j = 1
[]
[]
[Kernels]
[solid_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
use_displaced_mesh = true
[]
[solid_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
use_displaced_mesh = true
[]
[]
[Constraints]
[dispx_constraint]
type = XFEMSingleVariableConstraint
use_displaced_mesh = false
variable = disp_x
alpha = 1e8
geometric_cut_userobject = 'level_set_cut_uo'
[]
[dispy_constraint]
type = XFEMSingleVariableConstraint
use_displaced_mesh = false
variable = disp_y
alpha = 1e8
geometric_cut_userobject = 'level_set_cut_uo'
[]
[]
[BCs]
[bottomx]
type = DirichletBC
boundary = bottom
variable = disp_x
value = 0.0
[]
[bottomy]
type = DirichletBC
boundary = bottom
variable = disp_y
value = 0.0
[]
[topx]
type = FunctionDirichletBC
boundary = top
variable = disp_x
function = 0.03*t
[]
[topy]
type = FunctionDirichletBC
boundary = top
variable = disp_y
function = '0.03*t'
[]
[]
[Materials]
[elasticity_tensor_A]
type = ComputeIsotropicElasticityTensor
base_name = A
youngs_modulus = 1e9
poissons_ratio = 0.3
[]
[strain_A]
type = ComputeFiniteStrain
base_name = A
[]
[stress_A]
type = ComputeFiniteStrainElasticStress
base_name = A
[]
[elasticity_tensor_B]
type = ComputeIsotropicElasticityTensor
base_name = B
youngs_modulus = 1e7
poissons_ratio = 0.3
[]
[strain_B]
type = ComputeFiniteStrain
base_name = B
[]
[stress_B]
type = ComputeFiniteStrainElasticStress
base_name = B
[]
[combined_stress]
type = LevelSetBiMaterialRankTwo
levelset_positive_base = 'A'
levelset_negative_base = 'B'
level_set_var = ls
prop_name = stress
[]
[combined_jacob_mult]
type = LevelSetBiMaterialRankFour
levelset_positive_base = 'A'
levelset_negative_base = 'B'
level_set_var = ls
prop_name = Jacobian_mult
[]
[]
[Postprocessors]
[disp_x_norm]
type = ElementL2Norm
variable = disp_x
[]
[disp_y_norm]
type = ElementL2Norm
variable = disp_y
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
automatic_scaling = true
# controls for nonlinear iterations
nl_max_its = 15
nl_rel_tol = 1e-13
nl_abs_tol = 1e-50
# time control
start_time = 0.0
dt = 0.1
num_steps = 4
max_xfem_update = 1
[]
[Outputs]
print_linear_residuals = false
exodus = true
[]
(modules/solid_mechanics/test/tests/static_deformations/cosserat_tension.i)
[Mesh]
[generated_mesh]
type = GeneratedMeshGenerator
dim = 3
nx = 2
ny = 2
nz = 2
zmax = 0.2
[]
[bottom_xline1]
type = ExtraNodesetGenerator
new_boundary = 101
coord = '0 0 0'
input = generated_mesh
[]
[bottom_xline2]
type = ExtraNodesetGenerator
new_boundary = 101
coord = '0.5 0 0'
input = bottom_xline1
[]
[bottom_xline3]
type = ExtraNodesetGenerator
new_boundary = 101
coord = '1 0 0'
input = bottom_xline2
[]
[bottom_zline1]
type = ExtraNodesetGenerator
new_boundary = 102
coord = '0 0 0.0'
input = bottom_xline3
[]
[bottom_zline2]
type = ExtraNodesetGenerator
new_boundary = 102
coord = '0 0 0.1'
input = bottom_zline1
[]
[bottom_zline3]
type = ExtraNodesetGenerator
new_boundary = 102
coord = '0 0 0.2'
input = bottom_zline2
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Postprocessors]
[./disp_y_top]
type = PointValue
point = '0.5 1 0.1'
variable = disp_y
[../]
[./wc_z_top]
type = PointValue
point = '0.5 1 0.1'
variable = wc_z
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[./wc_y]
[../]
[./wc_z]
[../]
[]
[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
[../]
[./z_couple]
type = StressDivergenceTensors
variable = wc_z
displacements = 'wc_x wc_y wc_z'
component = 2
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[./z_moment]
type = MomentBalancing
variable = wc_z
component = 2
[../]
[]
[BCs]
[./y_bottom]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0
[../]
[./x_line]
type = DirichletBC
variable = disp_z
boundary = 101
value = 0
[../]
[./z_line]
type = DirichletBC
variable = disp_x
boundary = 102
value = 0
[../]
[./wc_x_bottom]
type = DirichletBC
variable = wc_x
boundary = bottom
value = 0
[../]
[./wc_y_bottom]
type = DirichletBC
variable = wc_y
boundary = bottom
value = 0
[../]
[./wc_z_bottom]
type = DirichletBC
variable = wc_z
boundary = bottom
value = 0
[../]
[./top_force]
type = NeumannBC
variable = disp_y
boundary = top
value = 1
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeCosseratElasticityTensor
B_ijkl = 0.5
E_ijkl = '1 2 1.3333'
fill_method = 'general_isotropic'
[../]
[./strain]
type = ComputeCosseratSmallStrain
[../]
[./stress]
type = ComputeCosseratLinearElasticStress
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol'
petsc_options_value = 'gmres bjacobi 1E-10 1E-10 10 1E-15 1E-10'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
num_steps = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = cosserat_tension_out
exodus = true
[]
(modules/solid_mechanics/test/tests/jacobian/coss_elastic.i)
#Cosserat elastic, using ComputeMultipleInelasticCosseratStress
[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]
[../]
[]
[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 = ComputeCosseratSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '5 1 2 1 4 3 2.1 3.1 1'
eigenstrain_name = ini_stress
[../]
[./admissible]
type = ComputeCosseratLinearElasticStress
[../]
[]
[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/test/tests/jacobian/mc_update18_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Compressive failure only, starting from a non-symmetric stress state, and
# using softening
[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 = 1E6
[../]
[./cs]
type = SolidMechanicsHardeningCubic
value_0 = 1
value_residual = 0
internal_limit = 2E-3
[../]
[./coh]
type = SolidMechanicsHardeningConstant
value = 1E6
[../]
[./ang]
type = SolidMechanicsHardeningConstant
value = 30
convert_to_radians = true
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 3E3
poisson = 0.2
layer_thickness = 1.0
joint_normal_stiffness = 1.0E3
joint_shear_stiffness = 2.0E3
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '-2 1 -0.5 -1 -1.9 0 -0.5 0 -3'
eigenstrain_name = ini_stress
[../]
[./cmc]
type = CappedMohrCoulombCosseratStressUpdate
host_youngs_modulus = 3E3
host_poissons_ratio = 0.2
tensile_strength = ts
compressive_strength = cs
cohesion = coh
friction_angle = ang
dilation_angle = ang
smoothing_tol = 0.1
yield_function_tol = 1.0E-12
[../]
[./stress]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = cmc
perform_finite_strain_rotations = false
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-snes_type'
petsc_options_value = 'test'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
[]
(modules/porous_flow/test/tests/jacobian/mass08.i)
# 1phase
# vanGenuchten, constant-bulk density, HM porosity, 1component, unsaturated
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pp]
type = RandomIC
variable = pp
min = -1
max = 1
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = pp
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
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]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/solid_mechanics/examples/wave_propagation/1D_elastic_wave_propagation.i)
w=10 #frequency
[Mesh]
type = GeneratedMesh
dim = 1
xmin=0
xmax=1
nx = 1000
[]
[Variables]
[uxr]
order = FIRST
family = LAGRANGE
[]
[uxi]
order = FIRST
family = LAGRANGE
[]
[]
[Kernels]
#stressdivergence terms
[urealx]
type = StressDivergenceTensors
variable = uxr
displacements='uxr'
component = 0
base_name = real
[]
[uimagx]
type = StressDivergenceTensors
variable = uxi
displacements='uxi'
component = 0
base_name = imag
[]
#reaction terms
[reaction_realx]
type = Reaction
variable = uxr
rate = ${fparse -w*w}
[]
[reaction_imagx]
type = Reaction
variable = uxi
rate = ${fparse -w*w}
[]
[]
[BCs]
#Left
[uxr_left]
type = CoupledVarNeumannBC
variable = uxr
boundary = 'left'
v = uxi
coef=${fparse -w}
[]
[uxi_left]
type = CoupledVarNeumannBC
variable = uxi
boundary = 'left'
v = uxr
coef=${fparse w}
[]
#Right
[BC_right_xreal]
type = DirichletBC
variable = uxr
boundary = 'right'
value = 0.5
[]
[BC_right_ximag]
type = DirichletBC
variable = uxi
boundary = 'right'
value = 0
[]
[]
[Materials]
[elasticity_tensor_real]
type = ComputeIsotropicElasticityTensor
base_name = real
youngs_modulus = 1
poissons_ratio = 0.0
[]
[strain_real]
type = ComputeSmallStrain
base_name = real
displacements='uxr'
[]
[stress_real]
type = ComputeLinearElasticStress
base_name = real
[]
[elasticity_tensor_imag]
type = ComputeIsotropicElasticityTensor
base_name = imag
youngs_modulus = 1
poissons_ratio = 0.0
[]
[strain_imag]
type = ComputeSmallStrain
base_name = imag
displacements='uxi'
[]
[stress_imag]
type = ComputeLinearElasticStress
base_name = imag
[]
[]
[VectorPostprocessors]
[midpt_real]
type = PointValueSampler
variable = uxr
points = '0.5 0.0 0'
sort_by = id
[]
[midpt_imag]
type = PointValueSampler
variable = uxi
points = '0.5 0.0 0'
sort_by = id
[]
[]
[Outputs]
csv=true
exodus=true
[]
[Executioner]
type = Steady
solve_type=LINEAR
petsc_options_iname = ' -pc_type'
petsc_options_value = 'lu'
[]
(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/porous_flow/test/tests/poro_elasticity/undrained_oedometer.i)
# An undrained oedometer test on a saturated poroelastic sample.
#
# The sample is a single unit element, with roller BCs on the sides
# and bottom. A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow.
#
# Under these conditions
# porepressure = -(Fluid bulk modulus)*log(1 - 0.01t)
# stress_xx = (bulk - 2*shear/3)*disp_z/L (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*disp_z/L (remember this is effective stress)
# where L is the height of the sample (L=1 in this test)
#
# Parameters:
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 1
#
# Desired output:
# zdisp = -0.01*t
# p0 = 1*log(1-0.01t)
# stress_xx = stress_yy = -0.01*t
# stress_zz = -0.04*t
#
# Regarding the "log" - it just comes from conserving fluid mass
[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'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_z
function = -0.01*t
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
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_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_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[]
[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 = 0.8
alpha = 1
[]
[]
[Postprocessors]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
[]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = undrained_oedometer
[csv]
type = CSV
[]
[]
(modules/solid_mechanics/test/tests/capped_mohr_coulomb/small_deform1_cosserat.i)
# Using Cosserat with large layer thickness, so this should reduce to standard
# Using CappedMohrCoulombCosserat with tensile failure only
# checking for small deformation
# A single element is stretched by 1E-6m in z direction, and by small amounts in x and y directions
# stress_zz = Youngs Modulus*Strain = 2E6*1E-6 = 2 Pa
# tensile_strength is set to 1Pa
# Then the final stress should return to the yeild surface and the minimum principal stress value should be 1pa.
[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]
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
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]
[./x]
type = FunctionDirichletBC
variable = disp_x
boundary = 'front back'
function = '0.1E-6*x'
[../]
[./y]
type = FunctionDirichletBC
variable = disp_y
boundary = 'front back'
function = '0.2E-6*y'
[../]
[./z]
type = FunctionDirichletBC
variable = disp_z
boundary = 'front back'
function = '1E-6*z'
[../]
[]
[AuxVariables]
[./wc_z]
[../]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
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_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_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = yield_fcn
[../]
[]
[Postprocessors]
[./s_xx]
type = PointValue
point = '0 0 0'
variable = stress_xx
[../]
[./s_xy]
type = PointValue
point = '0 0 0'
variable = stress_xy
[../]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./s_yy]
type = PointValue
point = '0 0 0'
variable = stress_yy
[../]
[./s_yz]
type = PointValue
point = '0 0 0'
variable = stress_yz
[../]
[./s_zz]
type = PointValue
point = '0 0 0'
variable = stress_zz
[../]
[./f]
type = PointValue
point = '0 0 0'
variable = yield_fcn
[../]
[]
[UserObjects]
[./ts]
type = SolidMechanicsHardeningConstant
value = 1
[../]
[./coh]
type = SolidMechanicsHardeningConstant
value = 1E6
[../]
[./ang]
type = SolidMechanicsHardeningConstant
value = 0.5
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 4.0E6
poisson = 0.0
layer_thickness = 1.0
joint_normal_stiffness = 1.0E16
joint_shear_stiffness = 1.0E16
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
[../]
[./tensile]
type = CappedMohrCoulombCosseratStressUpdate
tensile_strength = ts
compressive_strength = ts
cohesion = coh
friction_angle = ang
dilation_angle = ang
smoothing_tol = 0.0
yield_function_tol = 1.0E-9
host_youngs_modulus = 4.0E6
host_poissons_ratio = 0.0
[../]
[./stress]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = tensile
perform_finite_strain_rotations = false
[../]
[]
[Executioner]
end_time = 1
dt = 1
nl_abs_tol = 1E-10
type = Transient
[]
[Outputs]
file_base = small_deform1_cosserat
csv = true
[]
(modules/porous_flow/test/tests/jacobian/mass01_fully_saturated.i)
# FullySaturatedMassTimeDerivative
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[FluidProperties]
[the_simple_fluid]
type = SimpleFluidProperties
thermal_expansion = 0.5
bulk_modulus = 1.5
density0 = 1.0
[]
[]
[Variables]
[pp]
[]
[T]
[]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[pp]
type = RandomIC
variable = pp
min = 0
max = 1
[]
[T]
type = RandomIC
variable = T
min = 0
max = 1
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[mass0]
type = PorousFlowFullySaturatedMassTimeDerivative
variable = pp
coupling_type = ThermoHydroMechanical
biot_coefficient = 0.9
[]
[dummyT]
type = TimeDerivative
variable = T
[]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp disp_x disp_y disp_z T'
number_fluid_phases = 1
number_fluid_components = 1
[]
[simple1]
type = TensorMechanicsPlasticSimpleTester
a = 0
b = 1
strength = 1E20
yield_function_tolerance = 1.0E-9
internal_constraint_tolerance = 1.0E-9
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
bulk_modulus = 2.0
shear_modulus = 3.0
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[temperature]
type = PorousFlowTemperature
temperature = T
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = the_simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst # only the initial vaue of this is ever used
porosity = 0.1
[]
[biot_modulus]
type = PorousFlowConstantBiotModulus
biot_coefficient = 0.9
fluid_bulk_modulus = 1.5
solid_bulk_compliance = 0.5
[]
[thermal_expansion]
type = PorousFlowConstantThermalExpansionCoefficient
biot_coefficient = 0.9
fluid_coefficient = 0.5
drained_coefficient = 0.4
[]
[]
[Preconditioning]
[check]
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]
type = Transient
solve_type = Newton
dt = 1
end_time = 2
[]
[Outputs]
exodus = false
[]
(modules/porous_flow/test/tests/jacobian/desorped_mass_vol_exp01.i)
# Tests the PorousFlowDesorpedMassVolumetricExpansion kernel
# Fluid with constant bulk modulus, van-Genuchten capillary, HM porosity
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[conc]
family = MONOMIAL
order = CONSTANT
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[p]
type = RandomIC
min = -1
max = 1
variable = porepressure
[]
[conc]
type = RandomIC
min = 0
max = 1
variable = conc
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[]
[poro]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = porepressure
[]
[conc_in_poro]
type = PorousFlowDesorpedMassVolumetricExpansion
conc_var = conc
variable = porepressure
[]
[conc]
type = PorousFlowDesorpedMassVolumetricExpansion
conc_var = conc
variable = conc
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z conc'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[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]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[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]
type = Transient
solve_type = Newton
dt = 1E-5
[]
[Outputs]
execute_on = 'timestep_end'
file_base = jacobian2
exodus = false
[]
(modules/solid_mechanics/test/tests/jacobian/mc_update23_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Tensile + shear failure, starting from a symmetric stress state
[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 = 1
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E6
[../]
[./coh]
type = SolidMechanicsHardeningConstant
value = 4E1
[../]
[./phi]
type = SolidMechanicsHardeningConstant
value = 35
convert_to_radians = true
[../]
[./psi]
type = SolidMechanicsHardeningConstant
value = 5
convert_to_radians = true
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 1
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 2.0
joint_shear_stiffness = 1.0
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '10 12 -14.9 12 5 20 -14 20 8'
eigenstrain_name = ini_stress
[../]
[./cmc]
type = CappedMohrCoulombCosseratStressUpdate
host_youngs_modulus = 1
host_poissons_ratio = 0.25
tensile_strength = ts
compressive_strength = cs
cohesion = coh
friction_angle = phi
dilation_angle = psi
smoothing_tol = 0.5
yield_function_tol = 1.0E-12
[../]
[./stress]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = cmc
perform_finite_strain_rotations = false
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-snes_type'
petsc_options_value = 'test'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
[]
(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
[]
(modules/solid_mechanics/test/tests/static_deformations/cosserat_glide_fake_plastic.i)
# Example taken from Appendix A of
# S Forest "Mechanics of Cosserat media An introduction". Available from http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.154.4476&rep=rep1&type=pdf
#
# This example uses plasticity, but with inifinitely large yield strength, so it is really elasticity
#
# Analytically, the displacements are
# wc_z = B sinh(w_e y)
# disp_x = (2 mu_c B / w_e / (mu + mu_c)) (1 - cosh(w_e y))
# with w_e^2 = 2 mu mu_c / be / (mu + mu_c)
# and B = arbitrary integration constant
#
# Also, the only nonzero stresses are
# m_zy = 2 B be w_e cosh(w_e y)
# si_yx = -4 mu mu_c/(mu + mu_c) B sinh(w_e y)
#
# MOOSE gives these stress components correctly.
# However, it also gives a seemingly non-zero si_xy
# component. Upon increasing the resolution of the
# mesh (ny=10000, for example), the stress components
# are seen to limit correctly to the above forumlae
#
# I use mu = 2, mu_c = 3, be = 0.6, so w_e = 2
# Also i use B = 1, so at y = 1
# wc_z = 3.626860407847
# disp_x = -1.65731741465
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 100
ymax = 1
nz = 1
[]
[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]
[../]
[./wc_z]
[../]
[]
[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
[../]
[./z_couple]
type = StressDivergenceTensors
variable = wc_z
displacements = 'wc_x wc_y wc_z'
component = 2
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[./z_moment]
type = MomentBalancing
variable = wc_z
component = 2
[../]
[]
[BCs]
# zmin is called back
# zmax is called front
# ymin is called bottom
# ymax is called top
# xmin is called left
# xmax is called right
[./disp_x_zero_at_y_zero]
type = DirichletBC
variable = disp_x
boundary = bottom
value = 0
[../]
[./disp_x_fixed_at_y_max]
type = DirichletBC
variable = disp_x
boundary = top
value = -1.65731741465
[../]
[./no_dispy]
type = DirichletBC
variable = disp_y
boundary = 'back front bottom top left right'
value = 0
[../]
[./no_dispz]
type = DirichletBC
variable = disp_z
boundary = 'back front bottom top left right'
value = 0
[../]
[./no_wc_x]
type = DirichletBC
variable = wc_x
boundary = 'back front bottom top left right'
value = 0
[../]
[./no_wc_y]
type = DirichletBC
variable = wc_y
boundary = 'back front bottom top left right'
value = 0
[../]
[./wc_z_zero_at_y_zero]
type = DirichletBC
variable = wc_z
boundary = bottom
value = 0
[../]
[./wc_z_fixed_at_y_max]
type = DirichletBC
variable = wc_z
boundary = top
value = 3.626860407847
[../]
[]
[AuxVariables]
[./stress_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zz]
family = MONOMIAL
order = CONSTANT
[../]
[./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
[../]
[]
[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
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeCosseratElasticityTensor
B_ijkl = '1.1 0.6 0.6' # In Forest notation this is alpha=1.1 (this is unimportant), beta=gamma=0.6.
fill_method_bending = 'general_isotropic'
E_ijkl = '1 2 3' # In Forest notation this is lambda=1 (this is unimportant), mu=2, mu_c=3
fill_method = 'general_isotropic'
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
[../]
[./stress_fake_plasticity]
type = ComputeMultiPlasticityStress
ep_plastic_tolerance = 1E-12
[../]
[]
[VectorPostprocessors]
[./soln]
type = LineValueSampler
warn_discontinuous_face_values = false
sort_by = y
variable = 'disp_x wc_z stress_yx couple_stress_zy'
start_point = '0 0 0'
end_point = '0 1 0'
num_points = 11
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol'
petsc_options_value = 'gmres asm lu 1E-10 1E-14 10 1E-15 1E-10'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
num_steps = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = cosserat_glide_fake_plastic_out
exodus = false
csv = true
[]
(modules/combined/test/tests/poro_mechanics/borehole_lowres.i)
# Poroelastic response of a borehole.
#
# LOWRES VERSION: this version does not give perfect agreement with the analytical solution
#
# A fully-saturated medium contains a fluid with a homogeneous porepressure,
# but an anisitropic insitu stress. A infinitely-long borehole aligned with
# the $$z$$ axis is instanteously excavated. The borehole boundary is
# stress-free and allowed to freely drain. This problem is analysed using
# plane-strain conditions (no $$z$$ displacement).
#
# The solution in Laplace space is found in E Detournay and AHD Cheng "Poroelastic response of a borehole in a non-hydrostatic stress field". International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts 25 (1988) 171-182. In the small-time limit, the Laplace transforms may be performed. There is one typo in the paper. Equation (A4)'s final term should be -(a/r)\sqrt(4ct/(a^2\pi)), and not +(a/r)\sqrt(4ct/(a^2\pi)).
#
# Because realistic parameters are chosen (below),
# the residual for porepressure is much smaller than
# the residuals for the displacements. Therefore the
# scaling parameter is chosen. Also note that the
# insitu stresses are effective stresses, not total
# stresses, but the solution in the above paper is
# expressed in terms of total stresses.
#
# Here are the problem's parameters, and their values:
# Borehole radius. a = 1
# Rock's Lame lambda. la = 0.5E9
# Rock's Lame mu, which is also the Rock's shear modulus. mu = G = 1.5E9
# Rock bulk modulus. K = la + 2*mu/3 = 1.5E9
# Drained Poisson ratio. nu = (3K - 2G)/(6K + 2G) = 0.125
# Rock bulk compliance. 1/K = 0.66666666E-9
# Fluid bulk modulus. Kf = 0.7171315E9
# Fluid bulk compliance. 1/Kf = 1.39444444E-9
# Rock initial porosity. phi0 = 0.3
# Biot coefficient. alpha = 0.65
# Biot modulus. M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 2E9
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.345E9
# Undrained Poisson ratio. nuu = (3Ku - 2G)/(6Ku + 2G) = 0.2364
# Skempton coefficient. B = alpha*M/Ku = 0.554
# Fluid mobility (rock permeability/fluid viscosity). k = 1E-12
[Mesh]
type = FileMesh
file = borehole_lowres_input.e
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
porepressure = porepressure
block = 1
[]
[GlobalParams]
volumetric_locking_correction=true
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./porepressure]
scaling = 1E9 # Notice the scaling, to make porepressure's kernels roughly of same magnitude as disp's kernels
[../]
[]
[ICs]
[./initial_p]
type = ConstantIC
variable = porepressure
value = 1E6
[../]
[]
[BCs]
[./fixed_outer_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = outer
[../]
[./fixed_outer_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = outer
[../]
[./plane_strain]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'zmin zmax'
[../]
[./borehole_wall]
type = DirichletBC
variable = porepressure
value = 0
boundary = bh_wall
[../]
[]
[AuxVariables]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./tot_yy]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[../]
[./tot_yy]
type = ParsedAux
coupled_variables = 'stress_yy porepressure'
execute_on = timestep_end
variable = tot_yy
expression = 'stress_yy-0.65*porepressure'
[../]
[]
[Kernels]
[./grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[../]
[./grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[../]
[./grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[../]
[./poro_x]
type = PoroMechanicsCoupling
variable = disp_x
component = 0
[../]
[./poro_y]
type = PoroMechanicsCoupling
variable = disp_y
component = 1
[../]
[./poro_z]
type = PoroMechanicsCoupling
variable = disp_z
component = 2
[../]
[./poro_timederiv]
type = PoroFullSatTimeDerivative
variable = porepressure
[../]
[./darcy_flow]
type = CoefDiffusion
variable = porepressure
coef = 1E-12
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5E9 1.5E9'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*1.5/3 = 1.5E9
fill_method = symmetric_isotropic
[../]
[./strain]
type = ComputeFiniteStrain
displacements = 'disp_x disp_y disp_z'
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '-1.35E6 0 0 0 -3.35E6 0 0 0 0' # remember this is the effective stress
eigenstrain_name = ini_stress
[../]
[./no_plasticity]
type = ComputeFiniteStrainElasticStress
[../]
[./poro_material]
type = PoroFullSatMaterial
porosity0 = 0.3
biot_coefficient = 0.65
solid_bulk_compliance = 0.6666666666667E-9
fluid_bulk_compliance = 1.3944444444444E-9
constant_porosity = false
[../]
[]
[Postprocessors]
[./p00]
type = PointValue
variable = porepressure
point = '1.00 0 0'
outputs = csv_p
[../]
[./p01]
type = PointValue
variable = porepressure
point = '1.01 0 0'
outputs = csv_p
[../]
[./p02]
type = PointValue
variable = porepressure
point = '1.02 0 0'
outputs = csv_p
[../]
[./p03]
type = PointValue
variable = porepressure
point = '1.03 0 0'
outputs = csv_p
[../]
[./p04]
type = PointValue
variable = porepressure
point = '1.04 0 0'
outputs = csv_p
[../]
[./p05]
type = PointValue
variable = porepressure
point = '1.05 0 0'
outputs = csv_p
[../]
[./p06]
type = PointValue
variable = porepressure
point = '1.06 0 0'
outputs = csv_p
[../]
[./p07]
type = PointValue
variable = porepressure
point = '1.07 0 0'
outputs = csv_p
[../]
[./p08]
type = PointValue
variable = porepressure
point = '1.08 0 0'
outputs = csv_p
[../]
[./p09]
type = PointValue
variable = porepressure
point = '1.09 0 0'
outputs = csv_p
[../]
[./p10]
type = PointValue
variable = porepressure
point = '1.10 0 0'
outputs = csv_p
[../]
[./p11]
type = PointValue
variable = porepressure
point = '1.11 0 0'
outputs = csv_p
[../]
[./p12]
type = PointValue
variable = porepressure
point = '1.12 0 0'
outputs = csv_p
[../]
[./p13]
type = PointValue
variable = porepressure
point = '1.13 0 0'
outputs = csv_p
[../]
[./p14]
type = PointValue
variable = porepressure
point = '1.14 0 0'
outputs = csv_p
[../]
[./p15]
type = PointValue
variable = porepressure
point = '1.15 0 0'
outputs = csv_p
[../]
[./p16]
type = PointValue
variable = porepressure
point = '1.16 0 0'
outputs = csv_p
[../]
[./p17]
type = PointValue
variable = porepressure
point = '1.17 0 0'
outputs = csv_p
[../]
[./p18]
type = PointValue
variable = porepressure
point = '1.18 0 0'
outputs = csv_p
[../]
[./p19]
type = PointValue
variable = porepressure
point = '1.19 0 0'
outputs = csv_p
[../]
[./p20]
type = PointValue
variable = porepressure
point = '1.20 0 0'
outputs = csv_p
[../]
[./p21]
type = PointValue
variable = porepressure
point = '1.21 0 0'
outputs = csv_p
[../]
[./p22]
type = PointValue
variable = porepressure
point = '1.22 0 0'
outputs = csv_p
[../]
[./p23]
type = PointValue
variable = porepressure
point = '1.23 0 0'
outputs = csv_p
[../]
[./p24]
type = PointValue
variable = porepressure
point = '1.24 0 0'
outputs = csv_p
[../]
[./p25]
type = PointValue
variable = porepressure
point = '1.25 0 0'
outputs = csv_p
[../]
[./s00]
type = PointValue
variable = disp_x
point = '1.00 0 0'
outputs = csv_s
[../]
[./s01]
type = PointValue
variable = disp_x
point = '1.01 0 0'
outputs = csv_s
[../]
[./s02]
type = PointValue
variable = disp_x
point = '1.02 0 0'
outputs = csv_s
[../]
[./s03]
type = PointValue
variable = disp_x
point = '1.03 0 0'
outputs = csv_s
[../]
[./s04]
type = PointValue
variable = disp_x
point = '1.04 0 0'
outputs = csv_s
[../]
[./s05]
type = PointValue
variable = disp_x
point = '1.05 0 0'
outputs = csv_s
[../]
[./s06]
type = PointValue
variable = disp_x
point = '1.06 0 0'
outputs = csv_s
[../]
[./s07]
type = PointValue
variable = disp_x
point = '1.07 0 0'
outputs = csv_s
[../]
[./s08]
type = PointValue
variable = disp_x
point = '1.08 0 0'
outputs = csv_s
[../]
[./s09]
type = PointValue
variable = disp_x
point = '1.09 0 0'
outputs = csv_s
[../]
[./s10]
type = PointValue
variable = disp_x
point = '1.10 0 0'
outputs = csv_s
[../]
[./s11]
type = PointValue
variable = disp_x
point = '1.11 0 0'
outputs = csv_s
[../]
[./s12]
type = PointValue
variable = disp_x
point = '1.12 0 0'
outputs = csv_s
[../]
[./s13]
type = PointValue
variable = disp_x
point = '1.13 0 0'
outputs = csv_s
[../]
[./s14]
type = PointValue
variable = disp_x
point = '1.14 0 0'
outputs = csv_s
[../]
[./s15]
type = PointValue
variable = disp_x
point = '1.15 0 0'
outputs = csv_s
[../]
[./s16]
type = PointValue
variable = disp_x
point = '1.16 0 0'
outputs = csv_s
[../]
[./s17]
type = PointValue
variable = disp_x
point = '1.17 0 0'
outputs = csv_s
[../]
[./s18]
type = PointValue
variable = disp_x
point = '1.18 0 0'
outputs = csv_s
[../]
[./s19]
type = PointValue
variable = disp_x
point = '1.19 0 0'
outputs = csv_s
[../]
[./s20]
type = PointValue
variable = disp_x
point = '1.20 0 0'
outputs = csv_s
[../]
[./s21]
type = PointValue
variable = disp_x
point = '1.21 0 0'
outputs = csv_s
[../]
[./s22]
type = PointValue
variable = disp_x
point = '1.22 0 0'
outputs = csv_s
[../]
[./s23]
type = PointValue
variable = disp_x
point = '1.23 0 0'
outputs = csv_s
[../]
[./s24]
type = PointValue
variable = disp_x
point = '1.24 0 0'
outputs = csv_s
[../]
[./s25]
type = PointValue
variable = disp_x
point = '1.25 0 0'
outputs = csv_s
[../]
[./t00]
type = PointValue
variable = tot_yy
point = '1.00 0 0'
outputs = csv_t
[../]
[./t01]
type = PointValue
variable = tot_yy
point = '1.01 0 0'
outputs = csv_t
[../]
[./t02]
type = PointValue
variable = tot_yy
point = '1.02 0 0'
outputs = csv_t
[../]
[./t03]
type = PointValue
variable = tot_yy
point = '1.03 0 0'
outputs = csv_t
[../]
[./t04]
type = PointValue
variable = tot_yy
point = '1.04 0 0'
outputs = csv_t
[../]
[./t05]
type = PointValue
variable = tot_yy
point = '1.05 0 0'
outputs = csv_t
[../]
[./t06]
type = PointValue
variable = tot_yy
point = '1.06 0 0'
outputs = csv_t
[../]
[./t07]
type = PointValue
variable = tot_yy
point = '1.07 0 0'
outputs = csv_t
[../]
[./t08]
type = PointValue
variable = tot_yy
point = '1.08 0 0'
outputs = csv_t
[../]
[./t09]
type = PointValue
variable = tot_yy
point = '1.09 0 0'
outputs = csv_t
[../]
[./t10]
type = PointValue
variable = tot_yy
point = '1.10 0 0'
outputs = csv_t
[../]
[./t11]
type = PointValue
variable = tot_yy
point = '1.11 0 0'
outputs = csv_t
[../]
[./t12]
type = PointValue
variable = tot_yy
point = '1.12 0 0'
outputs = csv_t
[../]
[./t13]
type = PointValue
variable = tot_yy
point = '1.13 0 0'
outputs = csv_t
[../]
[./t14]
type = PointValue
variable = tot_yy
point = '1.14 0 0'
outputs = csv_t
[../]
[./t15]
type = PointValue
variable = tot_yy
point = '1.15 0 0'
outputs = csv_t
[../]
[./t16]
type = PointValue
variable = tot_yy
point = '1.16 0 0'
outputs = csv_t
[../]
[./t17]
type = PointValue
variable = tot_yy
point = '1.17 0 0'
outputs = csv_t
[../]
[./t18]
type = PointValue
variable = tot_yy
point = '1.18 0 0'
outputs = csv_t
[../]
[./t19]
type = PointValue
variable = tot_yy
point = '1.19 0 0'
outputs = csv_t
[../]
[./t20]
type = PointValue
variable = tot_yy
point = '1.20 0 0'
outputs = csv_t
[../]
[./t21]
type = PointValue
variable = tot_yy
point = '1.21 0 0'
outputs = csv_t
[../]
[./t22]
type = PointValue
variable = tot_yy
point = '1.22 0 0'
outputs = csv_t
[../]
[./t23]
type = PointValue
variable = tot_yy
point = '1.23 0 0'
outputs = csv_t
[../]
[./t24]
type = PointValue
variable = tot_yy
point = '1.24 0 0'
outputs = csv_t
[../]
[./t25]
type = PointValue
variable = tot_yy
point = '1.25 0 0'
outputs = csv_t
[../]
[./dt]
type = FunctionValuePostprocessor
outputs = console
function = 2*t
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options = '-snes_monitor -snes_linesearch_monitor'
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -ksp_max_it -sub_pc_type -sub_pc_factor_shift_type'
petsc_options_value = 'gmres asm 1E0 1E-10 200 500 lu NONZERO'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 0.3
dt = 0.3
#[./TimeStepper]
# type = PostprocessorDT
# postprocessor = dt
# dt = 0.003
#[../]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = borehole_lowres
exodus = true
sync_times = '0.003 0.3'
[./csv_p]
file_base = borehole_lowres_p
type = CSV
[../]
[./csv_s]
file_base = borehole_lowres_s
type = CSV
[../]
[./csv_t]
file_base = borehole_lowres_t
type = CSV
[../]
[]
(modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined_constM.i)
# A sample is constrained on all sides, except its top
# and its boundaries are
# also impermeable. Fluid is pumped into the sample via a
# volumetric source (ie kg/second per cubic meter), and the
# rise in the top surface, porepressure, and stress are observed.
#
# In the standard poromechanics scenario, the Biot Modulus is held
# fixed and the source, s, has units m^3/second/m^3. Then the expected result
# is
# strain_zz = disp_z = BiotCoefficient*BiotModulus*s*t/((bulk + 4*shear/3) + BiotCoefficient^2*BiotModulus)
# porepressure = BiotModulus*(s*t - BiotCoefficient*strain_zz)
# stress_xx = (bulk - 2*shear/3)*strain_zz (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*strain_zz (remember this is effective stress)
#
# In porous_flow, however, the source has units kg/second/m^3. The ratios remain
# fixed:
# stress_xx/strain_zz = (bulk - 2*shear/3) = 1 (for the parameters used here)
# stress_zz/strain_zz = (bulk + 4*shear/3) = 4 (for the parameters used here)
# porepressure/strain_zz = 13.3333333 (for the parameters used here)
#
# Expect
# disp_z = 0.3*10*s*t/((2 + 4*1.5/3) + 0.3^2*10) = 0.612245*s*t
# porepressure = 10*(s*t - 0.3*0.612245*s*t) = 8.163265*s*t
# stress_xx = (2 - 2*1.5/3)*0.612245*s*t = 0.612245*s*t
# stress_zz = (2 + 4*shear/3)*0.612245*s*t = 2.44898*s*t
# The relationship between the constant poroelastic source
# s (m^3/second/m^3) and the PorousFlow source, S (kg/second/m^3) is
# S = fluid_density * s = s * exp(porepressure/fluid_bulk)
[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'
PorousFlowDictator = dictator
block = 0
[]
[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 = 0.8
alpha = 1e-5
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[source]
type = BodyForce
function = '0.1*exp(8.163265306*0.1*t/3.3333333333)'
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
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_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_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 3.3333333333
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[]
[stress]
type = ComputeLinearElasticStress
[]
[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]
type = PorousFlowPorosityHMBiotModulus
porosity_zero = 0.1
biot_coefficient = 0.3
solid_bulk = 2
constant_fluid_bulk_modulus = 3.3333333333
constant_biot_modulus = 10.0
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1 0 0 0 1 0 0 0 1' # unimportant
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[]
[Functions]
[stress_xx_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_xx zdisp'
[]
[stress_zz_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_zz zdisp'
[]
[p_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'p0 zdisp'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = pp_generation_unconfined_constM
[csv]
type = CSV
[]
[]
(modules/solid_mechanics/test/tests/static_deformations/layered_cosserat_02.i)
# apply shears and Cosserat rotations and observe the stresses and moment-stresses
# with
# young = 0.7
# poisson = 0.2
# layer_thickness = 0.1
# joint_normal_stiffness = 0.25
# joint_shear_stiffness = 0.2
# then
# a0000 = 0.730681
# a0011 = 0.18267
# a2222 = 0.0244221
# a0022 = 0.006055
# a0101 = 0.291667
# a66 = 0.018717
# a77 = 0.155192
# b0110 = 0.000534
# b0101 = 0.000107
# and with
# u_x = y + 2*z
# u_y = x -1.5*z
# u_z = 1.1*x - 2.2*y
# wc_x = 0.5
# wc_y = 0.8
# then
# strain_xx = 0
# strain_xy = 1
# strain_xz = 2 - 0.8 = 1.2
# strain_yx = 1
# strain_yy = 0
# strain_yz = -1.5 + 0.5 = -1
# strain_zx = 1.1 + 0.8 = 1.9
# strain_zy = -2.2 - 0.5 = -2.7
# strain_zz = 0
# so that
# stress_xy = a0101*(1+1) = 0.583333
# stress_xz = a66*1.2 + a66*1.9 = 0.058021
# stress_yx = a0101*(1+1) = 0.583333
# stress_yz = a66*(-1) + a66*(-2.7) = -0.06925
# old stress_zx = a77*1.2 + a66*1.9 = 0.221793
# old stress_zy = a77*(-1) + a66*(-2.7) = -0.205728
# stress_zx = a66*1.2 + a77*1.9 = 0.317325
# stress_zy = a66*(-1) + a77*(-2.7) = -0.437735
# and all others zero
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
ymax = 1
nz = 1
[]
[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]
# zmin is called back
# zmax is called front
# ymin is called bottom
# ymax is called top
# xmin is called left
# xmax is called right
[./strain_xx]
type = FunctionDirichletBC
variable = disp_x
boundary = 'left right'
function = 'y+2*z'
[../]
[./strain_yy]
type = FunctionDirichletBC
variable = disp_y
boundary = 'bottom top'
function = 'x-1.5*z'
[../]
[./strain_zz]
type = FunctionDirichletBC
variable = disp_z
boundary = 'back front'
function = '1.1*x-2.2*y'
[../]
[./wc_x]
type = FunctionDirichletBC
variable = wc_x
boundary = 'left right'
function = 0.5
[../]
[./wc_y]
type = FunctionDirichletBC
variable = wc_y
boundary = 'left right'
function = 0.8
[../]
[]
[AuxVariables]
[./wc_z]
[../]
[./stress_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zz]
family = MONOMIAL
order = CONSTANT
[../]
[./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
[../]
[]
[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
[../]
[]
[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
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 0.7
poisson = 0.2
layer_thickness = 0.1
joint_normal_stiffness = 0.25
joint_shear_stiffness = 0.2
[../]
[./strain]
type = ComputeCosseratSmallStrain
[../]
[./stress]
type = ComputeCosseratLinearElasticStress
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol'
petsc_options_value = 'gmres asm lu 1E-10 1E-14 10 1E-15 1E-10'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
num_steps = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = layered_cosserat_02
csv = true
[]
(modules/porous_flow/test/tests/poro_elasticity/mandel_constM.i)
# Mandel's problem of consolodation of a drained medium
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed. The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width. a = 1
# Soil height. b = 0.1
# Soil's Lame lambda. la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus. mu = G = 0.75
# Soil bulk modulus. K = la + 2*mu/3 = 1
# Drained Poisson ratio. nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance. 1/K = 1
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Biot modulus. M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio. nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient. B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Consolidation coefficient. c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top. F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here
[Mesh]
type = GeneratedMesh
dim = 3
nx = 10
ny = 1
nz = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 0.1
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[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 = 0.8
alpha = 1e-5
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[roller_xmin]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left'
[]
[roller_ymin]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom'
[]
[plane_strain]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[xmax_drained]
type = DirichletBC
variable = porepressure
value = 0
boundary = right
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_y
function = top_velocity
boundary = top
[]
[]
[Functions]
[top_velocity]
type = PiecewiseLinear
x = '0 0.002 0.006 0.014 0.03 0.046 0.062 0.078 0.094 0.11 0.126 0.142 0.158 0.174 0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
y = '-0.041824842 -0.042730269 -0.043412712 -0.04428867 -0.045509181 -0.04645965 -0.047268246 -0.047974749 -0.048597109 -0.0491467 -0.049632388 -0.050061697 -0.050441198 -0.050776675 -0.051073238 -0.0513354 -0.051567152 -0.051772022 -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[tot_force]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[tot_force]
type = ParsedAux
coupled_variables = 'stress_yy porepressure'
execute_on = timestep_end
variable = tot_force
expression = '-stress_yy+0.6*porepressure'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[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]
type = PorousFlowPorosityHMBiotModulus
porosity_zero = 0.1
biot_coefficient = 0.6
solid_bulk = 1
constant_fluid_bulk_modulus = 8
constant_biot_modulus = 4.7058823529
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0.0 0 0'
variable = porepressure
[]
[p1]
type = PointValue
outputs = csv
point = '0.1 0 0'
variable = porepressure
[]
[p2]
type = PointValue
outputs = csv
point = '0.2 0 0'
variable = porepressure
[]
[p3]
type = PointValue
outputs = csv
point = '0.3 0 0'
variable = porepressure
[]
[p4]
type = PointValue
outputs = csv
point = '0.4 0 0'
variable = porepressure
[]
[p5]
type = PointValue
outputs = csv
point = '0.5 0 0'
variable = porepressure
[]
[p6]
type = PointValue
outputs = csv
point = '0.6 0 0'
variable = porepressure
[]
[p7]
type = PointValue
outputs = csv
point = '0.7 0 0'
variable = porepressure
[]
[p8]
type = PointValue
outputs = csv
point = '0.8 0 0'
variable = porepressure
[]
[p9]
type = PointValue
outputs = csv
point = '0.9 0 0'
variable = porepressure
[]
[p99]
type = PointValue
outputs = csv
point = '1 0 0'
variable = porepressure
[]
[xdisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_x
[]
[ydisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_y
[]
[total_downwards_force]
type = ElementAverageValue
outputs = csv
variable = tot_force
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.15*t<0.01,0.15*t,0.01)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'gmres asm lu 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 0.7
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = mandel_constM
[csv]
time_step_interval = 3
type = CSV
[]
[]
(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/test/tests/static_deformations/beam_cosserat_01.i)
# Beam bending. One end is clamped and the other end is subjected to
# a surface traction.
# The joint normal and shear stiffnesses are set very large, so
# that this situation should be identical to the standard (non-Cosserat)
# isotropic elasticity case.
[Mesh]
type = GeneratedMesh
dim = 3
nx = 40
xmax = 10
ny = 1
nz = 4
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]
# zmin is called back
# zmax is called front
# ymin is called bottom
# ymax is called top
# xmin is called left
# xmax is called right
[./no_dispy]
type = DirichletBC
variable = disp_y
boundary = 'bottom top'
value = 0.0
[../]
[./no_wc_x]
type = DirichletBC
variable = wc_x
boundary = 'bottom top back front left right'
value = 0.0
[../]
[./clamp_z]
type = DirichletBC
variable = disp_z
boundary = left
value = 0.0
[../]
[./clamp_x]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[../]
[./end_traction]
type = VectorNeumannBC
variable = disp_z
vector_value = '-2E-4 0 0'
boundary = right
[../]
[]
[AuxVariables]
[./wc_z]
[../]
[./stress_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zz]
family = MONOMIAL
order = CONSTANT
[../]
[./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
[../]
[]
[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
[../]
[]
[VectorPostprocessors]
[./soln]
type = LineValueSampler
warn_discontinuous_face_values = false
sort_by = x
variable = 'disp_x disp_z stress_xx stress_xz stress_zx stress_zz wc_x wc_y couple_stress_xx couple_stress_xz couple_stress_zx couple_stress_zz'
start_point = '0 0 0.5'
end_point = '10 0 0.5'
num_points = 11
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 1.2
poisson = 0.3
layer_thickness = 1
joint_normal_stiffness = 1E16
joint_shear_stiffness = 1E16
[../]
[./strain]
type = ComputeCosseratSmallStrain
[../]
[./stress]
type = ComputeCosseratLinearElasticStress
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol -sub_pc_factor_shift_type'
petsc_options_value = 'gmres asm lu 1E-10 1E-14 10 1E-15 1E-10 NONZERO'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
num_steps = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = beam_cosserat_01
csv = true
exodus = true
[]
(modules/solid_mechanics/test/tests/static_deformations/cosserat_shear.i)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 6
ny = 6
ymin = 0
ymax = 10
nz = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Postprocessors]
[./disp_y_top]
type = PointValue
point = '0.5 1 0.1'
variable = disp_y
[../]
[./disp_x_top]
type = PointValue
point = '0.5 1 0.1'
variable = disp_x
[../]
[./wc_z_top]
type = PointValue
point = '0.5 1 0.1'
variable = wc_z
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[./wc_y]
[../]
[./wc_z]
[../]
[]
[Kernels]
[./cx_elastic]
type = CosseratStressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[../]
[./cy_elastic]
type = CosseratStressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
variable = disp_z
component = 2
displacements = 'disp_x disp_y disp_z'
[../]
[./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
component = 1
displacements = 'wc_x wc_y wc_z'
base_name = couple
[../]
[./z_couple]
type = StressDivergenceTensors
variable = wc_z
component = 2
displacements = 'wc_x wc_y wc_z'
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[./z_moment]
type = MomentBalancing
variable = wc_z
component = 2
[../]
[]
[BCs]
[./Periodic]
[./xperiodic]
auto_direction = x
variable = 'disp_x disp_y disp_z wc_x wc_y wc_z'
[../]
[./zperiodic]
auto_direction = z
variable = 'disp_x disp_y disp_z wc_x wc_y wc_z'
[../]
[../]
[./ux_equals_zero_on_top]
type = DirichletBC
variable = disp_x
boundary = top
value = 0
[../]
[./wcx_equals_zero_on_top]
type = DirichletBC
variable = wc_x
boundary = top
value = 0
[../]
[./wcy_equals_zero_on_top]
type = DirichletBC
variable = wc_y
boundary = top
value = 0
[../]
[./wcz_equals_zero_on_top]
type = DirichletBC
variable = wc_z
boundary = top
value = 0
[../]
# following is natural BC
[./top_cauchy_zero]
type = NeumannBC
variable = disp_x
boundary = top
value = 0
[../]
[./ux_bottom]
type = DirichletBC
variable = disp_x
boundary = bottom
value = 1.0
[../]
[./uy_bottom]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[../]
[./uz_bottom]
type = DirichletBC
variable = disp_z
boundary = bottom
value = 0.0
[../]
[./wc_x_bottom]
type = DirichletBC
variable = wc_x
boundary = bottom
value = 0.0
[../]
[./wc_y_bottom]
type = DirichletBC
variable = wc_y
boundary = bottom
value = 0.0
[../]
[./wc_z_bottom]
type = DirichletBC
variable = wc_z
boundary = bottom
value = 0.17
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeCosseratElasticityTensor
B_ijkl = 40
E_ijkl = '5 10 5'
fill_method = 'general_isotropic'
[../]
[./strain]
type = ComputeCosseratSmallStrain
[../]
[./stress]
type = ComputeCosseratLinearElasticStress
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol'
petsc_options_value = 'gmres bjacobi 1E-10 1E-10 10 1E-15 1E-10'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
num_steps = 1
[]
[Outputs]
execute_on = 'timestep_end'
exodus = true
[]
(modules/porous_flow/test/tests/jacobian/denergy05.i)
# 2phase, 1 component, with solid displacements, time derivative of energy-density, THM porosity wth _ensure_positive = true, and compressive strains
[Mesh]
type = GeneratedMesh
dim = 3
nx = 2
xmin = 0
xmax = 1
ny = 1
ymin = 0
ymax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pgas]
[]
[pwater]
[]
[temp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.0
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.0
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.0
[]
[pgas]
type = RandomIC
variable = pgas
max = 0.01
min = 0.0
[]
[pwater]
type = RandomIC
variable = pwater
max = 0.0
min = -0.01
[]
[temp]
type = RandomIC
variable = temp
max = 1.0
min = 0.0
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[dummy_pgas]
type = Diffusion
variable = pgas
[]
[dummy_pwater]
type = Diffusion
variable = pwater
[]
[energy_dot]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pgas temp pwater disp_x disp_y disp_z'
number_fluid_phases = 2
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid0]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
cv = 1.3
[]
[simple_fluid1]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 0.5
thermal_expansion = 0
cv = 0.7
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
thermal = true
porosity_zero = 0.7
thermal_expansion_coeff = 0.7
biot_coefficient = 0.9
solid_bulk = 10
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1.1
density = 0.5
[]
[ppss]
type = PorousFlow2PhasePP
phase0_porepressure = pwater
phase1_porepressure = pgas
capillary_pressure = pc
[]
[simple_fluid0]
type = PorousFlowSingleComponentFluid
fp = simple_fluid0
phase = 0
[]
[simple_fluid1]
type = PorousFlowSingleComponentFluid
fp = simple_fluid1
phase = 1
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
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]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/combined/test/tests/poro_mechanics/mandel.i)
# Mandel's problem of consolodation of a drained medium
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed. The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width. a = 1
# Soil height. b = 0.1
# Soil's Lame lambda. la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus. mu = G = 0.75
# Soil bulk modulus. K = la + 2*mu/3 = 1
# Drained Poisson ratio. nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance. 1/K = 1
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Biot modulus. M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio. nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient. B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Consolidation coefficient. c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top. F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here
[Mesh]
type = GeneratedMesh
dim = 3
nx = 10
ny = 1
nz = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 0.1
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
porepressure = porepressure
block = 0
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./porepressure]
[../]
[]
[BCs]
[./roller_xmin]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left'
[../]
[./roller_ymin]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom'
[../]
[./plane_strain]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[../]
[./xmax_drained]
type = DirichletBC
variable = porepressure
value = 0
boundary = right
[../]
[./top_velocity]
type = FunctionDirichletBC
variable = disp_y
function = top_velocity
boundary = top
[../]
[]
[Functions]
[./top_velocity]
type = PiecewiseLinear
x = '0 0.002 0.006 0.014 0.03 0.046 0.062 0.078 0.094 0.11 0.126 0.142 0.158 0.174 0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
y = '-0.041824842 -0.042730269 -0.043412712 -0.04428867 -0.045509181 -0.04645965 -0.047268246 -0.047974749 -0.048597109 -0.0491467 -0.049632388 -0.050061697 -0.050441198 -0.050776675 -0.051073238 -0.0513354 -0.051567152 -0.051772022 -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
[../]
[]
[AuxVariables]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./tot_force]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[../]
[./tot_force]
type = ParsedAux
coupled_variables = 'stress_yy porepressure'
execute_on = timestep_end
variable = tot_force
expression = '-stress_yy+0.6*porepressure'
[../]
[]
[Kernels]
[./grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[../]
[./grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[../]
[./grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[../]
[./poro_x]
type = PoroMechanicsCoupling
variable = disp_x
component = 0
[../]
[./poro_y]
type = PoroMechanicsCoupling
variable = disp_y
component = 1
[../]
[./poro_z]
type = PoroMechanicsCoupling
variable = disp_z
component = 2
[../]
[./poro_timederiv]
type = PoroFullSatTimeDerivative
variable = porepressure
[../]
[./darcy_flow]
type = CoefDiffusion
variable = porepressure
coef = 1.5
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[../]
[./strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./poro_material]
type = PoroFullSatMaterial
porosity0 = 0.1
biot_coefficient = 0.6
solid_bulk_compliance = 1
fluid_bulk_compliance = 0.125
constant_porosity = true
[../]
[]
[Postprocessors]
[./p0]
type = PointValue
outputs = csv
point = '0.0 0 0'
variable = porepressure
[../]
[./p1]
type = PointValue
outputs = csv
point = '0.1 0 0'
variable = porepressure
[../]
[./p2]
type = PointValue
outputs = csv
point = '0.2 0 0'
variable = porepressure
[../]
[./p3]
type = PointValue
outputs = csv
point = '0.3 0 0'
variable = porepressure
[../]
[./p4]
type = PointValue
outputs = csv
point = '0.4 0 0'
variable = porepressure
[../]
[./p5]
type = PointValue
outputs = csv
point = '0.5 0 0'
variable = porepressure
[../]
[./p6]
type = PointValue
outputs = csv
point = '0.6 0 0'
variable = porepressure
[../]
[./p7]
type = PointValue
outputs = csv
point = '0.7 0 0'
variable = porepressure
[../]
[./p8]
type = PointValue
outputs = csv
point = '0.8 0 0'
variable = porepressure
[../]
[./p9]
type = PointValue
outputs = csv
point = '0.9 0 0'
variable = porepressure
[../]
[./p99]
type = PointValue
outputs = csv
point = '1 0 0'
variable = porepressure
[../]
[./xdisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_x
[../]
[./ydisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_y
[../]
[./total_downwards_force]
type = ElementAverageValue
outputs = csv
variable = tot_force
[../]
[./dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.15*t<0.01,0.15*t,0.01)
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 0.7
[./TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.001
[../]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = mandel
[./csv]
time_step_interval = 3
type = CSV
[../]
[]
(modules/porous_flow/test/tests/poro_elasticity/pp_generation.i)
# A sample is constrained on all sides and its boundaries are
# also impermeable. Fluid is pumped into the sample via a
# volumetric source (ie kg/second per cubic meter), and the
# rise in porepressure is observed.
#
# Source = s (units = kg/m^3/second)
#
# Expect:
# fluid_mass = mass0 + s*t
# stress = 0 (remember this is effective stress)
# Porepressure = fluid_bulk*log(fluid_mass_density/density_P0), where fluid_mass_density = fluid_mass*porosity
# porosity = biot+(phi0-biot)*exp(pp(biot-1)/solid_bulk)
#
# Parameters:
# Biot coefficient = 0.3
# Phi0 = 0.1
# Solid Bulk modulus = 2
# fluid_bulk = 13
# density_P0 = 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'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[source]
type = BodyForce
function = 0.1
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
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_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_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[porosity]
type = PorousFlowPropertyAux
variable = porosity
property = porosity
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 13
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = porepressure
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.3
solid_bulk = 2
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1 0 0 0 1 0 0 0 1' # unimportant
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Functions]
[porosity_analytic]
type = ParsedFunction
expression = 'biot+(phi0-biot)*exp(pp*(biot-1)/bulk)'
symbol_names = 'biot phi0 pp bulk'
symbol_values = '0.3 0.1 p0 2'
[]
[]
[Postprocessors]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
[]
[porosity]
type = PointValue
outputs = 'console csv'
point = '0 0 0'
variable = porosity
[]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[]
[porosity_analytic]
type = FunctionValuePostprocessor
function = porosity_analytic
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_max_it -snes_stol'
petsc_options_value = 'bcgs bjacobi 10000 1E-11'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = pp_generation
[csv]
type = CSV
[]
[]
(modules/solid_mechanics/test/tests/static_deformations/layered_cosserat_03.i)
# apply deformations and observe the moment-stresses
# with
# young = 0.7
# poisson = 0.2
# layer_thickness = 0.1
# joint_normal_stiffness = 0.25
# joint_shear_stiffness = 0.2
# then
# a0000 = 0.730681
# a0011 = 0.18267
# a2222 = 0.0244221
# a0022 = 0.006055
# a0101 = 0.291667
# a66 = 0.018717
# a77 = 0.310383
# b0101 = 0.000534
# b0110 = -0.000107
# and with
# wc_x = x + 2*y + 3*z
# wc_y = -1.1*x - 2.2*y - 3.3*z
# then
# curvature_xy = 2
# curvature_yx = -1.1
# and all others are either zero at (x,y,z)=(0,0,0) or unimportant for layered Cosserat
# so that
# m_xy = b0101*(2) + b0110*(-1.1) = 0.00118
# m_yx = b0110*2 + b0101*(-1.1) = -0.000801
# and all others zero (at (x,y,z)=(0,0,0))
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[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]
# zmin is called back
# zmax is called front
# ymin is called bottom
# ymax is called top
# xmin is called left
# xmax is called right
[./wc_x]
type = FunctionDirichletBC
variable = wc_x
boundary = 'left right'
function = 'x+2*y+3*z'
[../]
[./wc_y]
type = FunctionDirichletBC
variable = wc_y
boundary = 'left right'
function = '-1.1*x-2.2*y-3.3*z'
[../]
[]
[AuxVariables]
[./wc_z]
[../]
[./stress_xx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_xz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_yz]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zx]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zy]
family = MONOMIAL
order = CONSTANT
[../]
[./stress_zz]
family = MONOMIAL
order = CONSTANT
[../]
[./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
[../]
[]
[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
[../]
[]
[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
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 0.7
poisson = 0.2
layer_thickness = 0.1
joint_normal_stiffness = 0.25
joint_shear_stiffness = 0.2
[../]
[./strain]
type = ComputeCosseratSmallStrain
[../]
[./stress]
type = ComputeCosseratLinearElasticStress
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol -sub_pc_factor_shift_type'
petsc_options_value = 'gmres asm lu 1E-10 1E-14 10 1E-15 1E-10 NONZERO'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
num_steps = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = layered_cosserat_03
csv = true
[]
(modules/porous_flow/test/tests/jacobian/denergy02.i)
# 2phase, 1 component, with solid displacements, time derivative of energy-density
[Mesh]
type = GeneratedMesh
dim = 3
nx = 2
xmin = 0
xmax = 1
ny = 1
ymin = 0
ymax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pgas]
[]
[pwater]
[]
[temp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pgas]
type = RandomIC
variable = pgas
max = 1.0
min = 0.0
[]
[pwater]
type = RandomIC
variable = pwater
max = 0.0
min = -1.0
[]
[temp]
type = RandomIC
variable = temp
max = 1.0
min = 0.0
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[dummy_pgas]
type = Diffusion
variable = pgas
[]
[dummy_pwater]
type = Diffusion
variable = pwater
[]
[energy_dot]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pgas temp pwater disp_x disp_y disp_z'
number_fluid_phases = 2
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid0]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
cv = 1.3
[]
[simple_fluid1]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 0.5
thermal_expansion = 0
cv = 0.7
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.7
biot_coefficient = 0.9
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1.1
density = 0.5
[]
[ppss]
type = PorousFlow2PhasePP
phase0_porepressure = pwater
phase1_porepressure = pgas
capillary_pressure = pc
[]
[simple_fluid0]
type = PorousFlowSingleComponentFluid
fp = simple_fluid0
phase = 0
[]
[simple_fluid1]
type = PorousFlowSingleComponentFluid
fp = simple_fluid1
phase = 1
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
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]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/solid_mechanics/test/tests/jacobian/cdpc02.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 = 4
[../]
[./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
[../]
[]
[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 = '5 1 2 1 4 3 2.1 3.1 1'
eigenstrain_name = ini_stress
[../]
[./admissible]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = 'dp'
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
[../]
[]
[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/test/tests/homogenization/anisoShortFiber.i)
#
# Test from:
# Multiple Scale Analysis of Heterogeneous Elastic Structures Using
# Homogenization Theory and Voronoi Cell Finite Element Method
# by S.Ghosh et. al, Int J. Solids Structures, Vol. 32, No. 1,
# pp. 27-62, 1995.
#
# From that paper, elastic constants should be:
# E1111: 122.4
# E2222: 151.2
# E1212: 42.1
# E1122: 36.23
#
# Note: this is for plane stress conditions
#
[Mesh]
file = anisoShortFiber.e
# To calculate matching values, refine the mesh one time.
# We use a coarse mesh for speed in this test.
# uniform_refine = 1
[]
[Variables]
[./dx_xx]
order = FIRST
family = LAGRANGE
[../]
[./dy_xx]
order = FIRST
family = LAGRANGE
[../]
[./dx_yy]
order = FIRST
family = LAGRANGE
[../]
[./dy_yy]
order = FIRST
family = LAGRANGE
[../]
[./dx_xy]
order = FIRST
family = LAGRANGE
[../]
[./dy_xy]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./div_x_xx]
type = StressDivergenceTensors
component = 0
variable = dx_xx
displacements = 'dx_xx dy_xx'
use_displaced_mesh = false
base_name = xx
[../]
[./div_y_xx]
type = StressDivergenceTensors
component = 1
variable = dy_xx
displacements = 'dx_xx dy_xx'
use_displaced_mesh = false
base_name = xx
[../]
[./div_x_yy]
type = StressDivergenceTensors
component = 0
variable = dx_yy
displacements = 'dx_yy dy_yy'
use_displaced_mesh = false
base_name = yy
[../]
[./div_y_yy]
type = StressDivergenceTensors
component = 1
variable = dy_yy
displacements = 'dx_yy dy_yy'
use_displaced_mesh = false
base_name = yy
[../]
[./div_x_xy]
type = StressDivergenceTensors
component = 0
variable = dx_xy
displacements = 'dx_xy dy_xy'
use_displaced_mesh = false
base_name = xy
[../]
[./div_y_xy]
type = StressDivergenceTensors
component = 1
variable = dy_xy
displacements = 'dx_xy dy_xy'
use_displaced_mesh = false
base_name = xy
[../]
[./aeh_dx_xx]
type = AsymptoticExpansionHomogenizationKernel
variable = dx_xx
component = 0
column = xx
base_name = xx
[../]
[./aeh_dy_xx]
type = AsymptoticExpansionHomogenizationKernel
variable = dy_xx
component = 1
column = xx
base_name = xx
[../]
[./aeh_dx_yy]
type = AsymptoticExpansionHomogenizationKernel
variable = dx_yy
component = 0
column = yy
base_name = yy
[../]
[./aeh_dy_yy]
type = AsymptoticExpansionHomogenizationKernel
variable = dy_yy
component = 1
column = yy
base_name = yy
[../]
[./aeh_dx_xy]
type = AsymptoticExpansionHomogenizationKernel
variable = dx_xy
component = 0
column = xy
base_name = xy
[../]
[./aeh_dy_xy]
type = AsymptoticExpansionHomogenizationKernel
variable = dy_xy
component = 1
column = xy
base_name = xy
[../]
[]
[BCs]
[./Periodic]
[./top_bottom]
primary = 30
secondary = 40
translation = '0 1 0'
[../]
[./left_right]
primary = 10
secondary = 20
translation = '1 0 0'
[../]
[../]
[./dx_xx_anchor]
type = DirichletBC
variable = dx_xx
boundary = 1
value = 0.0
[../]
[./dy_xx_anchor]
type = DirichletBC
variable = dy_xx
boundary = 1
value = 0.0
[../]
[./dx_yy_anchor]
type = DirichletBC
variable = dx_yy
boundary = 1
value = 0.0
[../]
[./dy_yy_anchor]
type = DirichletBC
variable = dy_yy
boundary = 1
value = 0.0
[../]
[./dx_xy_anchor]
type = DirichletBC
variable = dx_xy
boundary = 1
value = 0.0
[../]
[./dy_xy_anchor]
type = DirichletBC
variable = dy_xy
boundary = 1
value = 0.0
[../]
[]
[Materials]
[./elastic_stress_xx]
type = ComputeLinearElasticStress
base_name = xx
[../]
[./elastic_stress_yy]
type = ComputeLinearElasticStress
base_name = yy
[../]
[./elastic_stress_xy]
type = ComputeLinearElasticStress
base_name = xy
[../]
[./strain_xx]
type = ComputeSmallStrain
displacements = 'dx_xx dy_xx'
base_name = xx
[../]
[./strain_yy]
type = ComputeSmallStrain
displacements = 'dx_yy dy_yy'
base_name = yy
[../]
[./strain_xy]
type = ComputeSmallStrain
displacements = 'dx_xy dy_xy'
base_name = xy
[../]
[./block1]
type = ComputeElasticityTensor
block = 1
fill_method = symmetric9
C_ijkl = '81.360117 26.848839 26.848839 81.360117 26.848839 81.360117 27.255639 27.255639 27.255639'
base_name = xx
[../]
[./block2]
type = ComputeElasticityTensor
block = 1
fill_method = symmetric9
C_ijkl = '81.360117 26.848839 26.848839 81.360117 26.848839 81.360117 27.255639 27.255639 27.255639'
base_name = yy
[../]
[./block3]
type = ComputeElasticityTensor
block = 1
fill_method = symmetric9
C_ijkl = '81.360117 26.848839 26.848839 81.360117 26.848839 81.360117 27.255639 27.255639 27.255639'
base_name = xy
[../]
[./block4]
type = ComputeElasticityTensor
block = 2
fill_method = symmetric9
C_ijkl = '416.66667 83.33333 83.33333 416.6667 83.33333 416.66667 166.66667 166.66667 166.66667'
base_name = xx
[../]
[./block5]
type = ComputeElasticityTensor
block = 2
fill_method = symmetric9
C_ijkl = '416.66667 83.33333 83.33333 416.6667 83.33333 416.66667 166.66667 166.66667 166.66667'
base_name = yy
[../]
[./block6]
type = ComputeElasticityTensor
block = 2
fill_method = symmetric9
C_ijkl = '416.66667 83.33333 83.33333 416.6667 83.33333 416.66667 166.66667 166.66667 166.66667'
base_name = xy
[../]
[]
[Postprocessors]
[./E1111]
type = AsymptoticExpansionHomogenizationElasticConstants
base_name = xx
row = xx
column = xx
dx_xx = dx_xx
dy_xx = dy_xx
dx_yy = dx_yy
dy_yy = dy_yy
dx_xy = dx_xy
dy_xy = dy_xy
execute_on = 'initial timestep_end'
[../]
[./E2222]
type = AsymptoticExpansionHomogenizationElasticConstants
base_name = xx
row = yy
column = yy
dx_xx = dx_xx
dy_xx = dy_xx
dx_yy = dx_yy
dy_yy = dy_yy
dx_xy = dx_xy
dy_xy = dy_xy
execute_on = 'initial timestep_end'
[../]
[./E1122]
type = AsymptoticExpansionHomogenizationElasticConstants
base_name = xx
row = xx
column = yy
dx_xx = dx_xx
dy_xx = dy_xx
dx_yy = dx_yy
dy_yy = dy_yy
dx_xy = dx_xy
dy_xy = dy_xy
execute_on = 'initial timestep_end'
[../]
[./E2211]
type = AsymptoticExpansionHomogenizationElasticConstants
base_name = xy
row = yy
column = xx
dx_xx = dx_xx
dy_xx = dy_xx
dx_yy = dx_yy
dy_yy = dy_yy
dx_xy = dx_xy
dy_xy = dy_xy
execute_on = 'initial timestep_end'
[../]
[./E1212]
type = AsymptoticExpansionHomogenizationElasticConstants
base_name = xx
row = xy
column = xy
dx_xx = dx_xx
dy_xx = dy_xx
dx_yy = dx_yy
dy_yy = dy_yy
dx_xy = dx_xy
dy_xy = dy_xy
execute_on = 'initial timestep_end'
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-ksp_gmres_modifiedgramschmidt'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter -pc_hypre_boomeramg_grid_sweeps_all -ksp_type -mat_mffd_type'
petsc_options_value = '201 hypre boomeramg 2 2 fgmres ds'
line_search = 'none'
l_tol = 1e-4
l_max_its = 40
nl_max_its = 40
nl_abs_tol = 1e-10
nl_rel_tol = 1e-10
start_time = 0.0
end_time = 10.0
num_steps = 1
dt = 10
[]
[Outputs]
exodus = true
[]
(modules/solid_mechanics/test/tests/stress_recovery/stress_concentration/stress_concentration.i)
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
type = FileMesh
file = geo.msh
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xx_recovered]
order = FIRST
family = LAGRANGE
[]
[stress_yy_recovered]
order = FIRST
family = LAGRANGE
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
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_xx_recovered]
type = NodalPatchRecoveryAux
variable = stress_xx_recovered
nodal_patch_recovery_uo = stress_xx_patch
execute_on = 'TIMESTEP_END'
[]
[stress_yy_recovered]
type = NodalPatchRecoveryAux
variable = stress_yy_recovered
nodal_patch_recovery_uo = stress_yy_patch
execute_on = 'TIMESTEP_END'
[]
[]
[Kernels]
[solid_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[solid_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[]
[Materials]
[strain]
type = ComputeSmallStrain
[]
[Cijkl]
type = ComputeIsotropicElasticityTensor
poissons_ratio = 0.3
youngs_modulus = 2.1e+5
[]
[stress]
type = ComputeLinearElasticStress
[]
[]
[BCs]
[top_xdisp]
type = FunctionDirichletBC
variable = disp_y
boundary = 'top'
function = 0
[]
[top_ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = 'top'
function = 0.01
[]
[bottom_xdisp]
type = FunctionDirichletBC
variable = disp_x
boundary = 'bottom'
function = 0
[]
[bottom_ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = 'bottom'
function = 0
[]
[]
[UserObjects]
[stress_xx_patch]
type = NodalPatchRecoveryMaterialProperty
patch_polynomial_order = FIRST
property = 'stress'
component = '0 0'
execute_on = 'TIMESTEP_END'
[]
[stress_yy_patch]
type = NodalPatchRecoveryMaterialProperty
patch_polynomial_order = FIRST
property = 'stress'
component = '1 1'
execute_on = 'TIMESTEP_END'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
ksp_norm = default
[]
[]
[Executioner]
type = Steady
solve_type = NEWTON
petsc_options_iname = '-ksp_type -pc_type'
petsc_options_value = 'preonly lu'
nl_rel_tol = 1e-14
l_max_its = 100
nl_max_its = 30
[]
[Outputs]
time_step_interval = 1
exodus = true
print_linear_residuals = false
[]
(modules/porous_flow/test/tests/poro_elasticity/terzaghi.i)
# Terzaghi's problem of consolodation of a drained medium
#
# A saturated soil sample sits in a bath of water.
# It is constrained on its sides, and bottom.
# Its sides and bottom are also impermeable.
# Initially it is unstressed.
# A normal stress, q, is applied to the soil's top.
# The soil then slowly compresses as water is squeezed
# out from the sample from its top (the top BC for
# the porepressure is porepressure = 0).
#
# See, for example. Section 2.2 of the online manuscript
# Arnold Verruijt "Theory and Problems of Poroelasticity" Delft University of Technology 2013
# but note that the "sigma" in that paper is the negative
# of the stress in TensorMechanics
#
# Here are the problem's parameters, and their values:
# Soil height. h = 10
# Soil's Lame lambda. la = 2
# Soil's Lame mu, which is also the Soil's shear modulus. mu = 3
# Soil bulk modulus. K = la + 2*mu/3 = 4
# Soil confined compressibility. m = 1/(K + 4mu/3) = 0.125
# Soil bulk compliance. 1/K = 0.25
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Soil initial storativity, which is the reciprocal of the initial Biot modulus. S = phi0/Kf + (alpha - phi0)(1 - alpha)/K = 0.0625
# Consolidation coefficient. c = k/(S + alpha^2 m) = 13.95348837
# Normal stress on top. q = 1
# Initial porepressure, resulting from instantaneous application of q, assuming corresponding instantaneous increase of porepressure (Note that this is calculated by MOOSE: we only need it for the analytical solution). p0 = alpha*m*q/(S + alpha^2 m) = 0.69767442
# Initial vertical displacement (down is positive), resulting from instantaneous application of q (Note this is calculated by MOOSE: we only need it for the analytical solution). uz0 = q*m*h*S/(S + alpha^2 m)
# Final vertical displacement (down in positive) (Note this is calculated by MOOSE: we only need it for the analytical solution). uzinf = q*m*h
#
# The solution for porepressure is
# P = 4*p0/\pi \sum_{k=1}^{\infty} \frac{(-1)^{k-1}}{2k-1} \cos ((2k-1)\pi z/(2h)) \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
# This series converges very slowly for ct/h^2 small, so in that domain
# P = p0 erf( (1-(z/h))/(2 \sqrt(ct/h^2)) )
#
# The degree of consolidation is defined as
# U = (uz - uz0)/(uzinf - uz0)
# where uz0 and uzinf are defined above, and
# uz = the vertical displacement of the top (down is positive)
# U = 1 - (8/\pi^2)\sum_{k=1}^{\infty} \frac{1}{(2k-1)^2} \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
#
# FINAL NOTE: The above solution assumes constant Biot Modulus.
# In porous_flow this is not true. Therefore the solution is
# a little different than in the paper. This test was therefore
# validated against MOOSE's poromechanics, which can choose either
# a constant Biot Modulus (which has been shown to agree with
# the analytic solution), or a non-constant Biot Modulus (which
# gives the same results as porous_flow).
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 10
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = 0
zmax = 10
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[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 = 0.8
alpha = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[topdrained]
type = DirichletBC
variable = porepressure
value = 0
boundary = front
[]
[topload]
type = NeumannBC
variable = disp_z
value = -1
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 0.96
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
# bulk modulus is lambda + 2*mu/3 = 2 + 2*3/3 = 4
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure_qp]
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]
type = PorousFlowPorosity
fluid = true
mechanical = true
ensure_positive = false
porosity_zero = 0.1
biot_coefficient = 0.6
solid_bulk = 4
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
use_displaced_mesh = false
[]
[p1]
type = PointValue
outputs = csv
point = '0 0 1'
variable = porepressure
use_displaced_mesh = false
[]
[p2]
type = PointValue
outputs = csv
point = '0 0 2'
variable = porepressure
use_displaced_mesh = false
[]
[p3]
type = PointValue
outputs = csv
point = '0 0 3'
variable = porepressure
use_displaced_mesh = false
[]
[p4]
type = PointValue
outputs = csv
point = '0 0 4'
variable = porepressure
use_displaced_mesh = false
[]
[p5]
type = PointValue
outputs = csv
point = '0 0 5'
variable = porepressure
use_displaced_mesh = false
[]
[p6]
type = PointValue
outputs = csv
point = '0 0 6'
variable = porepressure
use_displaced_mesh = false
[]
[p7]
type = PointValue
outputs = csv
point = '0 0 7'
variable = porepressure
use_displaced_mesh = false
[]
[p8]
type = PointValue
outputs = csv
point = '0 0 8'
variable = porepressure
use_displaced_mesh = false
[]
[p9]
type = PointValue
outputs = csv
point = '0 0 9'
variable = porepressure
use_displaced_mesh = false
[]
[p99]
type = PointValue
outputs = csv
point = '0 0 10'
variable = porepressure
use_displaced_mesh = false
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 10'
variable = disp_z
use_displaced_mesh = false
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.5*t<0.1,0.5*t,0.1)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.0001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = terzaghi
[csv]
type = CSV
[]
[]
(modules/solid_mechanics/examples/coal_mining/cosserat_wp_only.i)
# Strata deformation and fracturing around a coal mine
#
# A 2D geometry is used that simulates a transverse section of
# the coal mine. The model is actually 3D, but the "x"
# dimension is only 10m long, meshed with 1 element, and
# there is no "x" displacement. The mine is 300m deep
# and just the roof is studied (0<=z<=300). The model sits
# between 0<=y<=450. The excavation sits in 0<=y<=150. This
# is a "half model": the boundary conditions are such that
# the model simulates an excavation sitting in -150<=y<=150
# inside a model of the region -450<=y<=450. The
# excavation height is 3m (ie, the excavation lies within
# 0<=z<=3). Mining is simulated by moving the excavation's
# roof down, until disp_z=-3 at t=1.
# Time is meaningless in this example
# as quasi-static solutions are sought at each timestep, but
# the number of timesteps controls the resolution of the
# process.
#
# The boundary conditions are:
# - disp_x = 0 everywhere
# - disp_y = 0 at y=0 and y=450
# - disp_z = 0 for y>150
# - disp_z = -3 at maximum, for 0<=y<=150. See excav function.
# That is, rollers on the sides, free at top, and prescribed at bottom.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa. The initial stress is consistent with
# the weight force from density 2500 kg/m^3, ie, stress_zz = -0.025*(300-z) MPa
# where gravity = 10 m.s^-2 = 1E-5 MPa m^2/kg. The maximum and minimum
# principal horizontal stresses are assumed to be equal to 0.8*stress_zz.
#
# Below you will see Drucker-Prager parameters and AuxVariables, etc.
# These are not actally used in this example.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# Weak-plane cohesion = 0.1 MPa
# Weak-plane friction angle = 20 deg
# Weak-plane dilation angle = 10 deg
# Weak-plane tensile strength = 0.1 MPa
# Weak-plane compressive strength = 100 MPa, varying down to 1 MPa when tensile strain = 1
#
[Mesh]
[generated_mesh]
type = GeneratedMeshGenerator
dim = 3
nx = 1
xmin = -5
xmax = 5
nz = 40
zmin = 0
zmax = 400
bias_z = 1.1
ny = 30 # make this a multiple of 3, so y=150 is at a node
ymin = 0
ymax = 450
[]
[left]
type = SideSetsAroundSubdomainGenerator
new_boundary = 11
normal = '0 -1 0'
input = generated_mesh
[]
[right]
type = SideSetsAroundSubdomainGenerator
new_boundary = 12
normal = '0 1 0'
input = left
[]
[front]
type = SideSetsAroundSubdomainGenerator
new_boundary = 13
normal = '-1 0 0'
input = right
[]
[back]
type = SideSetsAroundSubdomainGenerator
new_boundary = 14
normal = '1 0 0'
input = front
[]
[top]
type = SideSetsAroundSubdomainGenerator
new_boundary = 15
normal = '0 0 1'
input = back
[]
[bottom]
type = SideSetsAroundSubdomainGenerator
new_boundary = 16
normal = '0 0 -1'
input = top
[]
[excav]
type = SubdomainBoundingBoxGenerator
block_id = 1
bottom_left = '-5 0 0'
top_right = '5 150 3'
input = bottom
[]
[roof]
type = SideSetsBetweenSubdomainsGenerator
new_boundary = 21
primary_block = 0
paired_block = 1
input = excav
[]
[hole]
type = BlockDeletionGenerator
block = 1
input = roof
[]
[]
[GlobalParams]
block = 0
perform_finite_strain_rotations = false
displacements = 'disp_x disp_y disp_z'
Cosserat_rotations = 'wc_x wc_y wc_z'
[]
[Variables]
[./disp_y]
[../]
[./disp_z]
[../]
[./wc_x]
[../]
[]
[Kernels]
[./cy_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_y
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_z
component = 2
[../]
[./x_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_x
component = 0
[../]
[./gravity]
type = Gravity
use_displaced_mesh = false
variable = disp_z
value = -10E-6
[../]
[]
[AuxVariables]
[./disp_x]
[../]
[./wc_y]
[../]
[./wc_z]
[../]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_shear]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_tensile]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_shear_f]
order = CONSTANT
family = MONOMIAL
[../]
[./wp_tensile_f]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_shear_f]
order = CONSTANT
family = MONOMIAL
[../]
[./dp_tensile_f]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[../]
[./stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[../]
[./stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[./dp_shear]
type = MaterialStdVectorAux
index = 0
property = dp_plastic_internal_parameter
variable = dp_shear
[../]
[./dp_tensile]
type = MaterialStdVectorAux
index = 1
property = dp_plastic_internal_parameter
variable = dp_tensile
[../]
[./wp_shear]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_internal_parameter
variable = wp_shear
[../]
[./wp_tensile]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_internal_parameter
variable = wp_tensile
[../]
[./dp_shear_f]
type = MaterialStdVectorAux
index = 0
property = dp_plastic_yield_function
variable = dp_shear_f
[../]
[./dp_tensile_f]
type = MaterialStdVectorAux
index = 1
property = dp_plastic_yield_function
variable = dp_tensile_f
[../]
[./wp_shear_f]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_yield_function
variable = wp_shear_f
[../]
[./wp_tensile_f]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_yield_function
variable = wp_tensile_f
[../]
[]
[BCs]
[./no_y]
type = DirichletBC
variable = disp_y
boundary = '11 12 16 21' # note addition of 16 and 21
value = 0.0
[../]
[./no_z]
type = DirichletBC
variable = disp_z
boundary = '16'
value = 0.0
[../]
[./no_wc_x]
type = DirichletBC
variable = wc_x
boundary = '11 12'
value = 0.0
[../]
[./roof]
type = FunctionDirichletBC
variable = disp_z
boundary = 21
function = excav_sideways
[../]
[]
[Functions]
[./ini_xx]
type = ParsedFunction
expression = '-0.8*2500*10E-6*(400-z)'
[../]
[./ini_zz]
type = ParsedFunction
expression = '-2500*10E-6*(400-z)'
[../]
[./excav_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax e_h closure_dist'
symbol_values = '1.0 0 150.0 -3.0 15.0'
expression = 'e_h*max(min((t/end_t*(ymax-ymin)+ymin-y)/closure_dist,1),0)'
[../]
[./excav_downwards]
type = ParsedFunction
symbol_names = 'end_t ymin ymax e_h closure_dist'
symbol_values = '1.0 0 150.0 -3.0 15.0'
expression = 'e_h*t/end_t*max(min(((ymax-ymin)+ymin-y)/closure_dist,1),0)'
[../]
[]
[UserObjects]
[./dp_coh_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 2.9 # MPa
value_residual = 3.1 # MPa
rate = 1.0
[../]
[./dp_fric]
type = SolidMechanicsHardeningConstant
value = 0.65 # 37deg
[../]
[./dp_dil]
type = SolidMechanicsHardeningConstant
value = 0.65
[../]
[./dp_tensile_str_strong_harden]
type = SolidMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.4 # MPa
rate = 1.0
[../]
[./dp_compressive_str]
type = SolidMechanicsHardeningConstant
value = 1.0E3 # Large!
[../]
[./drucker_prager_model]
type = SolidMechanicsPlasticDruckerPrager
mc_cohesion = dp_coh_strong_harden
mc_friction_angle = dp_fric
mc_dilation_angle = dp_dil
internal_constraint_tolerance = 1 # irrelevant here
yield_function_tolerance = 1 # irrelevant here
[../]
[./wp_coh_harden]
type = SolidMechanicsHardeningCubic
value_0 = 0.1
value_residual = 0.1
internal_limit = 10
[../]
[./wp_tan_fric]
type = SolidMechanicsHardeningConstant
value = 0.36 # 20deg
[../]
[./wp_tan_dil]
type = SolidMechanicsHardeningConstant
value = 0.18 # 10deg
[../]
[./wp_tensile_str_harden]
type = SolidMechanicsHardeningCubic
value_0 = 0.1
value_residual = 0.1
internal_limit = 10
[../]
[./wp_compressive_str_soften]
type = SolidMechanicsHardeningCubic
value_0 = 100
value_residual = 1.0
internal_limit = 1.0
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = 'ini_xx 0 0 0 ini_xx 0 0 0 ini_zz'
eigenstrain_name = ini_stress
[../]
[./stress]
type = ComputeMultipleInelasticCosseratStress
block = 0
inelastic_models = 'wp'
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[../]
[./dp]
type = CappedDruckerPragerCosseratStressUpdate
block = 0
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = dp
DP_model = drucker_prager_model
tensile_strength = dp_tensile_str_strong_harden
compressive_strength = dp_compressive_str
max_NR_iterations = 100000
tip_smoother = 0.1E1
smoothing_tol = 0.1E1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-11 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0
[../]
[./wp]
type = CappedWeakPlaneCosseratStressUpdate
block = 0
warn_about_precision_loss = false
base_name = wp
cohesion = wp_coh_harden
tan_friction_angle = wp_tan_fric
tan_dilation_angle = wp_tan_dil
tensile_strength = wp_tensile_str_harden
compressive_strength = wp_compressive_str_soften
max_NR_iterations = 10000
tip_smoother = 0.1
smoothing_tol = 0.1 # MPa # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
yield_function_tol = 1E-11 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0E-3
[../]
[./density]
type = GenericConstantMaterial
prop_names = density
prop_values = 2500
[../]
[]
[Postprocessors]
[./subsidence]
type = PointValue
point = '0 0 400'
variable = disp_z
use_displaced_mesh = false
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason'
petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
petsc_options_value = ' asm 2 lu gmres 200'
line_search = bt
nl_abs_tol = 1e-3
nl_rel_tol = 1e-5
l_max_its = 30
nl_max_its = 1000
start_time = 0.0
dt = 0.2
end_time = 0.2
[]
[Outputs]
file_base = cosserat_wp_only
time_step_interval = 1
print_linear_residuals = false
csv = true
exodus = true
[./console]
type = Console
output_linear = false
[../]
[]
(modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined_fully_saturated_volume.i)
# A sample is constrained on all sides, except its top
# and its boundaries are
# also impermeable. Fluid is pumped into the sample via a
# volumetric source (ie m^3/second per cubic meter), and the
# rise in the top surface, porepressure, and stress are observed.
#
# In the standard poromechanics scenario, the Biot Modulus is held
# fixed and the source has units 1/s. Then the expected result
# is
# strain_zz = disp_z = BiotCoefficient*BiotModulus*s*t/((bulk + 4*shear/3) + BiotCoefficient^2*BiotModulus)
# porepressure = BiotModulus*(s*t - BiotCoefficient*strain_zz)
# stress_xx = (bulk - 2*shear/3)*strain_zz (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*strain_zz (remember this is effective stress)
#
# In standard porous_flow, everything is based on mass, eg the source has
# units kg/s/m^3. This is discussed in the other pp_generation_unconfined
# models. In this test, we use the FullySaturated Kernel and set
# multiply_by_density = false
# meaning the fluid Kernel has units of volume, and the source, s, has units 1/time
#
# The ratios are:
# stress_xx/strain_zz = (bulk - 2*shear/3) = 1 (for the parameters used here)
# stress_zz/strain_zz = (bulk + 4*shear/3) = 4 (for the parameters used here)
# porepressure/strain_zz = 13.3333333 (for the parameters used here)
#
# Expect
# disp_z = 0.3*10*s*t/((2 + 4*1.5/3) + 0.3^2*10) = 0.612245*s*t
# porepressure = 10*(s*t - 0.3*0.612245*s*t) = 8.163265*s*t
# stress_xx = (2 - 2*1.5/3)*0.612245*s*t = 0.612245*s*t
# stress_zz = (2 + 4*shear/3)*0.612245*s*t = 2.44898*s*t
[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'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[mass0]
type = PorousFlowFullySaturatedMassTimeDerivative
variable = porepressure
multiply_by_density = false
coupling_type = HydroMechanical
biot_coefficient = 0.3
[]
[source]
type = BodyForce
function = 0.1
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
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_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_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 3.3333333333
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature_qp]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = porepressure
[]
[simple_fluid_qp]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst # the "const" is irrelevant here: all that uses Porosity is the BiotModulus, which just uses the initial value of porosity
porosity = 0.1
[]
[biot_modulus]
type = PorousFlowConstantBiotModulus
biot_coefficient = 0.3
fluid_bulk_modulus = 3.3333333333
solid_bulk_compliance = 0.5
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[stress_xx_over_strain]
type = FunctionValuePostprocessor
function = stress_xx_over_strain_fcn
outputs = csv
[]
[stress_zz_over_strain]
type = FunctionValuePostprocessor
function = stress_zz_over_strain_fcn
outputs = csv
[]
[p_over_strain]
type = FunctionValuePostprocessor
function = p_over_strain_fcn
outputs = csv
[]
[]
[Functions]
[stress_xx_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_xx zdisp'
[]
[stress_zz_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_zz zdisp'
[]
[p_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'p0 zdisp'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = pp_generation_unconfined_fully_saturated_volume
[csv]
type = CSV
[]
[]
(modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain_esm_using_cut_mesh.i)
# This test is for two layer materials with different youngs modulus with AD
# The global stress is determined by switching the stress based on level set values
# The material interface is marked by a level set function
# The two layer materials are glued together
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[XFEM]
output_cut_plane = true
[]
[UserObjects]
[cut]
type = InterfaceMeshCut2DUserObject
mesh_file = line.e
interface_velocity_function = 1
heal_always = true
[]
[esm]
type = CutElementSubdomainModifier
geometric_cut_userobject = cut
apply_initial_conditions = false
[]
[]
[Mesh]
use_displaced_mesh = true
[generated_mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmin = 0
xmax = 5
ymin = 0
ymax = 5
elem_type = QUAD4
[]
[bottom]
type = SubdomainBoundingBoxGenerator
input = generated_mesh
block_id = 0
bottom_left = '0 0 0'
top_right = '5 2.5 0'
[]
[top]
type = SubdomainBoundingBoxGenerator
input = bottom
block_id = 1
bottom_left = '0 2.5 0'
top_right = '5 5 0'
[]
[]
[Functions]
[ls_func]
type = ParsedFunction
expression = 'y-2.73+t'
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[ls]
[]
[strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[ls_function]
type = FunctionAux
variable = ls
function = ls_func
[]
[strain_xx]
type = RankTwoAux
variable = strain_xx
rank_two_tensor = total_strain
index_i = 0
index_j = 0
[]
[strain_yy]
type = RankTwoAux
variable = strain_yy
rank_two_tensor = total_strain
index_i = 1
index_j = 1
[]
[strain_xy]
type = RankTwoAux
variable = strain_xy
rank_two_tensor = total_strain
index_i = 0
index_j = 1
[]
[stress_xx]
type = RankTwoAux
variable = stress_xx
rank_two_tensor = stress
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
variable = stress_xy
rank_two_tensor = stress
index_i = 0
index_j = 1
[]
[stress_yy]
type = RankTwoAux
variable = stress_yy
rank_two_tensor = stress
index_i = 1
index_j = 1
[]
[]
[Kernels]
[solid_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
use_displaced_mesh = true
[]
[solid_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
use_displaced_mesh = true
[]
[]
[Constraints]
[dispx_constraint]
type = XFEMSingleVariableConstraint
use_displaced_mesh = false
variable = disp_x
alpha = 1e8
geometric_cut_userobject = 'cut'
[]
[dispy_constraint]
type = XFEMSingleVariableConstraint
use_displaced_mesh = false
variable = disp_y
alpha = 1e8
geometric_cut_userobject = 'cut'
[]
[]
[BCs]
[bottomx]
type = DirichletBC
boundary = bottom
variable = disp_x
value = 0.0
[]
[bottomy]
type = DirichletBC
boundary = bottom
variable = disp_y
value = 0.0
[]
[topx]
type = FunctionDirichletBC
boundary = top
variable = disp_x
function = 0.03*t
[]
[topy]
type = FunctionDirichletBC
boundary = top
variable = disp_y
function = '0.03*t'
[]
[]
[Materials]
[elasticity_tensor_A]
type = ComputeIsotropicElasticityTensor
block = 1
youngs_modulus = 1e9
poissons_ratio = 0.3
[]
[strain_A]
type = ComputeFiniteStrain
block = 1
[]
[stress_A]
type = ComputeFiniteStrainElasticStress
block = 1
[]
[elasticity_tensor_B]
type = ComputeIsotropicElasticityTensor
block = 0
youngs_modulus = 1e7
poissons_ratio = 0.3
[]
[strain_B]
type = ComputeFiniteStrain
block = 0
[]
[stress_B]
type = ComputeFiniteStrainElasticStress
block = 0
[]
[]
[Postprocessors]
[disp_x_norm]
type = ElementL2Norm
variable = disp_x
[]
[disp_y_norm]
type = ElementL2Norm
variable = disp_y
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
automatic_scaling = true
# controls for nonlinear iterations
nl_max_its = 15
nl_rel_tol = 1e-13
nl_abs_tol = 1e-50
# time control
start_time = 0.0
dt = 0.1
num_steps = 4
max_xfem_update = 1
[]
[Outputs]
print_linear_residuals = false
exodus = true
[]
(modules/solid_mechanics/test/tests/ad_elastic/incremental_small_elastic-noad.i)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 3
ny = 3
nz = 3
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
# scale with one over Young's modulus
[./disp_x]
scaling = 1e-10
[../]
[./disp_y]
scaling = 1e-10
[../]
[./disp_z]
scaling = 1e-10
[../]
[]
[Kernels]
[./stress_x]
type = StressDivergenceTensors
component = 0
variable = disp_x
[../]
[./stress_y]
type = StressDivergenceTensors
component = 1
variable = disp_y
[../]
[./stress_z]
type = StressDivergenceTensors
component = 2
variable = disp_z
[../]
[]
[BCs]
[./symmy]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0
[../]
[./symmx]
type = DirichletBC
variable = disp_x
boundary = left
value = 0
[../]
[./symmz]
type = DirichletBC
variable = disp_z
boundary = back
value = 0
[../]
[./tdisp]
type = DirichletBC
variable = disp_z
boundary = front
value = 0.1
[../]
[]
[Materials]
[./elasticity]
type = ComputeIsotropicElasticityTensor
poissons_ratio = 0.3
youngs_modulus = 1e10
[../]
[./strain]
type = ComputeIncrementalStrain
[../]
[./stress]
type = ComputeFiniteStrainElasticStress
[../]
[]
[Preconditioning]
[./smp]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
dt = 0.05
solve_type = 'NEWTON'
petsc_options_iname = -pc_hypre_type
petsc_options_value = boomeramg
dtmin = 0.05
num_steps = 1
[]
[Outputs]
exodus = true
file_base = incremental_small_elastic_out
[]
(modules/solid_mechanics/test/tests/stress_recovery/patch/patch_finite_stress.i)
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
type = GeneratedMesh
dim = 2
nx = 2
ny = 2
elem_type = QUAD4
[]
[Variables]
[disp_x]
order = FIRST
family = LAGRANGE
[]
[disp_y]
order = FIRST
family = LAGRANGE
[]
[]
[AuxVariables]
[stress_xx]
order = FIRST
family = MONOMIAL
[]
[stress_yy]
order = FIRST
family = MONOMIAL
[]
[stress_xx_recovered]
order = FIRST
family = LAGRANGE
[]
[stress_yy_recovered]
order = FIRST
family = LAGRANGE
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
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_xx_recovered]
type = NodalPatchRecoveryAux
variable = stress_xx_recovered
nodal_patch_recovery_uo = stress_xx_patch
execute_on = 'TIMESTEP_END'
[]
[stress_yy_recovered]
type = NodalPatchRecoveryAux
variable = stress_yy_recovered
nodal_patch_recovery_uo = stress_yy_patch
execute_on = 'TIMESTEP_END'
[]
[]
[Kernels]
[solid_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[solid_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[]
[Materials]
[strain]
type = ComputeFiniteStrain
[]
[Cijkl]
type = ComputeIsotropicElasticityTensor
poissons_ratio = 0.3
youngs_modulus = 2.1e+5
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[]
[BCs]
[top_xdisp]
type = FunctionDirichletBC
variable = disp_x
boundary = 'top'
function = 0
[]
[top_ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = 'top'
function = t
[]
[bottom_xdisp]
type = FunctionDirichletBC
variable = disp_x
boundary = 'bottom'
function = 0
[]
[bottom_ydisp]
type = FunctionDirichletBC
variable = disp_y
boundary = 'bottom'
function = 0
[]
[]
[UserObjects]
[stress_xx_patch]
type = NodalPatchRecoveryMaterialProperty
patch_polynomial_order = FIRST
property = 'stress'
component = '0 0'
execute_on = 'TIMESTEP_END'
[]
[stress_yy_patch]
type = NodalPatchRecoveryMaterialProperty
patch_polynomial_order = FIRST
property = 'stress'
component = '1 1'
execute_on = 'TIMESTEP_END'
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
ksp_norm = default
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-ksp_type -pc_type'
petsc_options_value = 'preonly lu'
nl_abs_tol = 1e-8
nl_rel_tol = 1e-8
l_max_its = 100
nl_max_its = 30
dt = 0.01
dtmin = 1e-11
start_time = 0
end_time = 0.05
[]
[Outputs]
exodus = true
print_linear_residuals = false
[]
(modules/solid_mechanics/test/tests/jacobian/poro01.i)
# tests of the poroelasticity kernel, PoroMechanicsCoupling
# in conjunction with the usual StressDivergenceTensors Kernel
[Mesh]
type = GeneratedMesh
dim = 3
[]
[GlobalParams]
block = 0
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./p]
[../]
[]
[ICs]
[./disp_x]
type = RandomIC
variable = disp_x
min = -1
max = 1
[../]
[./disp_y]
type = RandomIC
variable = disp_y
min = -1
max = 1
[../]
[./disp_z]
type = RandomIC
variable = disp_z
min = -1
max = 1
[../]
[./p]
type = RandomIC
variable = p
min = -1
max = 1
[../]
[]
[Kernels]
[./unimportant_p]
type = TimeDerivative
variable = p
[../]
[./grad_stress_x]
type = StressDivergenceTensors
displacements = 'disp_x disp_y disp_z'
variable = disp_x
component = 0
[../]
[./grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[../]
[./grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[../]
[./poro_x]
type = PoroMechanicsCoupling
variable = disp_x
porepressure = p
component = 0
[../]
[./poro_y]
type = PoroMechanicsCoupling
variable = disp_y
porepressure = p
component = 1
[../]
[./poro_z]
type = PoroMechanicsCoupling
variable = disp_z
porepressure = p
component = 2
[../]
[./This_is_not_poroelasticity._It_is_checking_diagonal_jacobian]
type = PoroMechanicsCoupling
variable = disp_x
porepressure = disp_x
component = 0
[../]
[./This_is_not_poroelasticity._It_is_checking_diagonal_jacobian_again]
type = PoroMechanicsCoupling
variable = disp_x
porepressure = disp_x
component = 1
[../]
[./This_is_not_poroelasticity._It_is_checking_offdiagonal_jacobian_for_disps]
type = PoroMechanicsCoupling
variable = disp_x
porepressure = disp_y
component = 2
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1'
fill_method = symmetric_isotropic
[../]
[./strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./biot]
type = GenericConstantMaterial
prop_names = biot_coefficient
prop_values = 0.54
[../]
[]
[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]
type = Transient
solve_type = Newton
[]
(modules/solid_mechanics/test/tests/jacobian/cosserat06.i)
[Mesh]
type = GeneratedMesh
dim = 3
[]
[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]
[../]
[./wc_z]
[../]
[]
[Kernels]
active = 'cx_elastic cy_elastic cz_elastic x_couple y_couple z_couple x_moment y_moment z_moment'
[./cx_elastic]
type = CosseratStressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[../]
[./cy_elastic]
type = CosseratStressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y 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
[../]
[./z_couple]
type = StressDivergenceTensors
variable = wc_z
displacements = 'wc_x wc_y wc_z'
component = 2
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[./z_moment]
type = MomentBalancing
variable = wc_z
component = 2
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeCosseratElasticityTensor
B_ijkl = '1111 1112 1113 1121 1122 1123 1131 1132 1133 1112 1212 1213 1221 1222 1223 1231 1232 1233 1113 1213 1313 1321 1322 1323 1331 1332 1333 1121 1221 1321 2121 2122 2123 2131 2132 2133 1122 1222 1322 2122 2222 2223 2231 2232 2233 1123 1223 1323 2123 2223 2323 2331 2332 2333 1131 1231 1331 2131 2231 2331 3131 3132 3133 1132 1232 1332 2132 2232 2332 3132 3232 3233 1133 1233 1333 2133 2233 2333 3133 3233 3333'
fill_method_bending = 'general'
E_ijkl = '1111 1112 1113 1121 1122 1123 1131 1132 1133 1112 1212 1213 1221 1222 1223 1231 1232 1233 1113 1213 1313 1321 1322 1323 1331 1332 1333 1121 1221 1321 2121 2122 2123 2131 2132 2133 1122 1222 1322 2122 2222 2223 2231 2232 2233 1123 1223 1323 2123 2223 2323 2331 2332 2333 1131 1231 1331 2131 2231 2331 3131 3132 3133 1132 1232 1332 2132 2232 2332 3132 3232 3233 1133 1233 1333 2133 2233 2333 3133 3233 3333'
fill_method = 'general'
[../]
[./strain]
type = ComputeCosseratSmallStrain
[../]
[./stress]
type = ComputeCosseratLinearElasticStress
[../]
[]
[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]
type = Transient
solve_type = Newton
[]
(modules/porous_flow/examples/tutorial/11.i)
# Two-phase borehole injection problem
[Mesh]
[annular]
type = AnnularMeshGenerator
nr = 10
rmin = 1.0
rmax = 10
growth_r = 1.4
nt = 4
dmin = 0
dmax = 90
[]
[make3D]
input = annular
type = MeshExtruderGenerator
extrusion_vector = '0 0 12'
num_layers = 3
bottom_sideset = 'bottom'
top_sideset = 'top'
[]
[shift_down]
type = TransformGenerator
transform = TRANSLATE
vector_value = '0 0 -6'
input = make3D
[]
[aquifer]
type = SubdomainBoundingBoxGenerator
block_id = 1
bottom_left = '0 0 -2'
top_right = '10 10 2'
input = shift_down
[]
[injection_area]
type = ParsedGenerateSideset
combinatorial_geometry = 'x*x+y*y<1.01'
included_subdomains = 1
new_sideset_name = 'injection_area'
input = 'aquifer'
[]
[rename]
type = RenameBlockGenerator
old_block = '0 1'
new_block = 'caps aquifer'
input = 'injection_area'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pwater pgas T disp_x disp_y'
number_fluid_phases = 2
number_fluid_components = 2
[]
[pc]
type = PorousFlowCapillaryPressureVG
alpha = 1E-6
m = 0.6
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
gravity = '0 0 0'
biot_coefficient = 1.0
PorousFlowDictator = dictator
[]
[Variables]
[pwater]
initial_condition = 20E6
[]
[pgas]
initial_condition = 20.1E6
[]
[T]
initial_condition = 330
scaling = 1E-5
[]
[disp_x]
scaling = 1E-5
[]
[disp_y]
scaling = 1E-5
[]
[]
[Kernels]
[mass_water_dot]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pwater
[]
[flux_water]
type = PorousFlowAdvectiveFlux
fluid_component = 0
use_displaced_mesh = false
variable = pwater
[]
[vol_strain_rate_water]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = pwater
[]
[mass_co2_dot]
type = PorousFlowMassTimeDerivative
fluid_component = 1
variable = pgas
[]
[flux_co2]
type = PorousFlowAdvectiveFlux
fluid_component = 1
use_displaced_mesh = false
variable = pgas
[]
[vol_strain_rate_co2]
type = PorousFlowMassVolumetricExpansion
fluid_component = 1
variable = pgas
[]
[energy_dot]
type = PorousFlowEnergyTimeDerivative
variable = T
[]
[advection]
type = PorousFlowHeatAdvection
use_displaced_mesh = false
variable = T
[]
[conduction]
type = PorousFlowHeatConduction
use_displaced_mesh = false
variable = T
[]
[vol_strain_rate_heat]
type = PorousFlowHeatVolumetricExpansion
variable = T
[]
[grad_stress_x]
type = StressDivergenceTensors
temperature = T
variable = disp_x
eigenstrain_names = thermal_contribution
use_displaced_mesh = false
component = 0
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
variable = disp_x
use_displaced_mesh = false
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
temperature = T
variable = disp_y
eigenstrain_names = thermal_contribution
use_displaced_mesh = false
component = 1
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
variable = disp_y
use_displaced_mesh = false
component = 1
[]
[]
[AuxVariables]
[disp_z]
[]
[effective_fluid_pressure]
family = MONOMIAL
order = CONSTANT
[]
[mass_frac_phase0_species0]
initial_condition = 1 # all water in phase=0
[]
[mass_frac_phase1_species0]
initial_condition = 0 # no water in phase=1
[]
[sgas]
family = MONOMIAL
order = CONSTANT
[]
[swater]
family = MONOMIAL
order = CONSTANT
[]
[stress_rr]
family = MONOMIAL
order = CONSTANT
[]
[stress_tt]
family = MONOMIAL
order = CONSTANT
[]
[stress_zz]
family = MONOMIAL
order = CONSTANT
[]
[porosity]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[effective_fluid_pressure]
type = ParsedAux
coupled_variables = 'pwater pgas swater sgas'
expression = 'pwater * swater + pgas * sgas'
variable = effective_fluid_pressure
[]
[swater]
type = PorousFlowPropertyAux
variable = swater
property = saturation
phase = 0
execute_on = timestep_end
[]
[sgas]
type = PorousFlowPropertyAux
variable = sgas
property = saturation
phase = 1
execute_on = timestep_end
[]
[stress_rr]
type = RankTwoScalarAux
variable = stress_rr
rank_two_tensor = stress
scalar_type = RadialStress
point1 = '0 0 0'
point2 = '0 0 1'
execute_on = timestep_end
[]
[stress_tt]
type = RankTwoScalarAux
variable = stress_tt
rank_two_tensor = stress
scalar_type = HoopStress
point1 = '0 0 0'
point2 = '0 0 1'
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
variable = stress_zz
rank_two_tensor = stress
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[porosity]
type = PorousFlowPropertyAux
variable = porosity
property = porosity
execute_on = timestep_end
[]
[]
[BCs]
[roller_tmax]
type = DirichletBC
variable = disp_x
value = 0
boundary = dmax
[]
[roller_tmin]
type = DirichletBC
variable = disp_y
value = 0
boundary = dmin
[]
[pinned_top_bottom_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'top bottom'
[]
[pinned_top_bottom_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'top bottom'
[]
[cavity_pressure_x]
type = Pressure
boundary = injection_area
variable = disp_x
component = 0
postprocessor = constrained_effective_fluid_pressure_at_wellbore
use_displaced_mesh = false
[]
[cavity_pressure_y]
type = Pressure
boundary = injection_area
variable = disp_y
component = 1
postprocessor = constrained_effective_fluid_pressure_at_wellbore
use_displaced_mesh = false
[]
[cold_co2]
type = DirichletBC
boundary = injection_area
variable = T
value = 290 # injection temperature
use_displaced_mesh = false
[]
[constant_co2_injection]
type = PorousFlowSink
boundary = injection_area
variable = pgas
fluid_phase = 1
flux_function = -1E-4
use_displaced_mesh = false
[]
[outer_water_removal]
type = PorousFlowPiecewiseLinearSink
boundary = rmax
variable = pwater
fluid_phase = 0
pt_vals = '0 1E9'
multipliers = '0 1E8'
PT_shift = 20E6
use_mobility = true
use_relperm = true
use_displaced_mesh = false
[]
[outer_co2_removal]
type = PorousFlowPiecewiseLinearSink
boundary = rmax
variable = pgas
fluid_phase = 1
pt_vals = '0 1E9'
multipliers = '0 1E8'
PT_shift = 20.1E6
use_mobility = true
use_relperm = true
use_displaced_mesh = false
[]
[]
[FluidProperties]
[true_water]
type = Water97FluidProperties
[]
[tabulated_water]
type = TabulatedFluidProperties
fp = true_water
temperature_min = 275
pressure_max = 1E8
interpolated_properties = 'density viscosity enthalpy internal_energy'
fluid_property_output_file = water97_tabulated_11.csv
# Comment out the fp parameter and uncomment below to use the newly generated tabulation
# fluid_property_file = water97_tabulated_11.csv
[]
[true_co2]
type = CO2FluidProperties
[]
[tabulated_co2]
type = TabulatedFluidProperties
fp = true_co2
temperature_min = 275
pressure_max = 1E8
interpolated_properties = 'density viscosity enthalpy internal_energy'
fluid_property_output_file = co2_tabulated_11.csv
# Comment out the fp parameter and uncomment below to use the newly generated tabulation
# fluid_property_file = co2_tabulated_11.csv
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = T
[]
[saturation_calculator]
type = PorousFlow2PhasePP
phase0_porepressure = pwater
phase1_porepressure = pgas
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
mass_fraction_vars = 'mass_frac_phase0_species0 mass_frac_phase1_species0'
[]
[water]
type = PorousFlowSingleComponentFluid
fp = tabulated_water
phase = 0
[]
[co2]
type = PorousFlowSingleComponentFluid
fp = tabulated_co2
phase = 1
[]
[relperm_water]
type = PorousFlowRelativePermeabilityCorey
n = 4
s_res = 0.1
sum_s_res = 0.2
phase = 0
[]
[relperm_co2]
type = PorousFlowRelativePermeabilityBC
nw_phase = true
lambda = 2
s_res = 0.1
sum_s_res = 0.2
phase = 1
[]
[porosity_mat]
type = PorousFlowPorosity
fluid = true
mechanical = true
thermal = true
porosity_zero = 0.1
reference_temperature = 330
reference_porepressure = 20E6
thermal_expansion_coeff = 15E-6 # volumetric
solid_bulk = 8E9 # unimportant since biot = 1
[]
[permeability_aquifer]
type = PorousFlowPermeabilityKozenyCarman
block = aquifer
poroperm_function = kozeny_carman_phi0
phi0 = 0.1
n = 2
m = 2
k0 = 1E-12
[]
[permeability_caps]
type = PorousFlowPermeabilityKozenyCarman
block = caps
poroperm_function = kozeny_carman_phi0
phi0 = 0.1
n = 2
m = 2
k0 = 1E-15
k_anisotropy = '1 0 0 0 1 0 0 0 0.1'
[]
[rock_thermal_conductivity]
type = PorousFlowThermalConductivityIdeal
dry_thermal_conductivity = '2 0 0 0 2 0 0 0 2'
[]
[rock_internal_energy]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1100
density = 2300
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 5E9
poissons_ratio = 0.0
[]
[strain]
type = ComputeSmallStrain
eigenstrain_names = 'thermal_contribution initial_stress'
[]
[thermal_contribution]
type = ComputeThermalExpansionEigenstrain
temperature = T
thermal_expansion_coeff = 5E-6 # this is the linear thermal expansion coefficient
eigenstrain_name = thermal_contribution
stress_free_temperature = 330
[]
[initial_strain]
type = ComputeEigenstrainFromInitialStress
initial_stress = '20E6 0 0 0 20E6 0 0 0 20E6'
eigenstrain_name = initial_stress
[]
[stress]
type = ComputeLinearElasticStress
[]
[effective_fluid_pressure_mat]
type = PorousFlowEffectiveFluidPressure
[]
[volumetric_strain]
type = PorousFlowVolumetricStrain
[]
[]
[Postprocessors]
[effective_fluid_pressure_at_wellbore]
type = PointValue
variable = effective_fluid_pressure
point = '1 0 0'
execute_on = timestep_begin
use_displaced_mesh = false
[]
[constrained_effective_fluid_pressure_at_wellbore]
type = FunctionValuePostprocessor
function = constrain_effective_fluid_pressure
execute_on = timestep_begin
[]
[]
[Functions]
[constrain_effective_fluid_pressure]
type = ParsedFunction
symbol_names = effective_fluid_pressure_at_wellbore
symbol_values = effective_fluid_pressure_at_wellbore
expression = 'max(effective_fluid_pressure_at_wellbore, 20E6)'
[]
[]
[Preconditioning]
active = basic
[basic]
type = SMP
full = true
petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
petsc_options_value = ' asm lu NONZERO 2'
[]
[preferred_but_might_not_be_installed]
type = SMP
full = true
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu mumps'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
end_time = 1E3
[TimeStepper]
type = IterationAdaptiveDT
dt = 1E3
growth_factor = 1.2
optimal_iterations = 10
[]
nl_abs_tol = 1E-7
[]
[Outputs]
exodus = true
[]
(modules/combined/test/tests/poro_mechanics/jacobian1.i)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
porepressure = porepressure
block = 0
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./porepressure]
[../]
[]
[ICs]
[./disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[../]
[./disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[../]
[./disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[../]
[./p]
type = RandomIC
min = -1
max = 1
variable = porepressure
[../]
[]
[Kernels]
[./grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[../]
[./grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[../]
[./grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[../]
[./poro]
type = PoroFullSatTimeDerivative
variable = porepressure
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
fill_method = symmetric_isotropic
[../]
[./strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./poro_material]
type = PoroFullSatMaterial
porosity0 = 0.1
biot_coefficient = 0.6
solid_bulk_compliance = 0.25
fluid_bulk_compliance = 0.125
[../]
[]
[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]
type = Transient
solve_type = Newton
[]
[Outputs]
execute_on = 'timestep_end'
file_base = jacobian1
exodus = false
[]
(modules/combined/test/tests/elastic_thermal_patch/elastic_thermal_weak_plane_stress_jacobian.i)
[GlobalParams]
order = FIRST
family = LAGRANGE
displacements = 'disp_x disp_y'
temperature = temp
out_of_plane_strain = strain_zz
[]
[Mesh]
[./square]
type = GeneratedMeshGenerator
dim = 2
nx = 2
ny = 2
[../]
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./strain_zz]
[../]
[./temp]
[../]
[]
[Kernels]
[./disp_x]
type = StressDivergenceTensors
variable = disp_x
eigenstrain_names = thermal_eigenstrain
component = 0
[../]
[./disp_y]
type = StressDivergenceTensors
variable = disp_y
eigenstrain_names = thermal_eigenstrain
component = 1
[../]
[./solid_z]
type = WeakPlaneStress
variable = strain_zz
eigenstrain_names = thermal_eigenstrain
[../]
[./heat]
type = HeatConduction
variable = temp
use_displaced_mesh = false
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
poissons_ratio = 0.0
youngs_modulus = 1
[../]
[./strain]
type = ComputePlaneSmallStrain
eigenstrain_names = thermal_eigenstrain
[../]
[./thermal_strain]
type = ComputeThermalExpansionEigenstrain
thermal_expansion_coeff = 1e-5
stress_free_temperature = 0
eigenstrain_name = thermal_eigenstrain
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./conductivity]
type = HeatConductionMaterial
thermal_conductivity = 1
use_displaced_mesh = false
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-ksp_type -pc_type -snes_type'
petsc_options_value = 'bcgs bjacobi test'
end_time = 1.0
[]
(modules/porous_flow/test/tests/energy_conservation/heat03.i)
# The sample is a single unit element, with roller BCs on the sides
# and bottom. A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow or heat flow.
# Heat energy conservation is checked.
#
# Under these conditions (here L is the height of the sample: L=1 in this case):
# porepressure = porepressure(t=0) - (Fluid bulk modulus)*log(1 - 0.01*t)
# stress_xx = (bulk - 2*shear/3)*disp_z/L (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*disp_z/L (remember this is effective stress)
# Also, the total heat energy must be conserved: this is
# fluid_mass * fluid_heat_cap * temperature + (1 - porosity) * rock_density * rock_heat_cap * temperature * volume
# Since fluid_mass is conserved, and volume = (1 - 0.01*t), this can be solved for temperature:
# temperature = initial_heat_energy / (fluid_mass * fluid_heat_cap + (1 - porosity) * rock_density * rock_heat_cap * (1 - 0.01*t))
#
# Parameters:
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 0.5
# initial porepressure = 0.1
# initial temperature = 10
#
# Desired output:
# zdisp = -0.01*t
# p0 = 0.1 - 0.5*log(1-0.01*t)
# stress_xx = stress_yy = -0.01*t
# stress_zz = -0.04*t
# t0 = 11.5 / (0.159 + 0.99 * (1 - 0.01*t))
#
# Regarding the "log" - it comes from preserving fluid mass
#
# Note that the PorousFlowMassVolumetricExpansion and PorousFlowHeatVolumetricExpansion Kernels are used
[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'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
initial_condition = 0.1
[]
[temp]
initial_condition = 10
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_z
function = -0.01*t
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = pp
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
[]
[temp]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[poro_vol_exp_temp]
type = PorousFlowHeatVolumetricExpansion
variable = temp
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
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_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_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'temp pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 1
viscosity = 1
thermal_expansion = 0
cv = 1.3
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[porosity]
type = PorousFlowPorosity
porosity_zero = 0.1
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 2.2
density = 0.5
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = pp
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '0.5 0 0 0 0.5 0 0 0 0.5'
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '0 0 0'
variable = pp
[]
[t0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '0 0 0'
variable = temp
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
use_displaced_mesh = false
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[total_heat]
type = PorousFlowHeatEnergy
phase = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[rock_heat]
type = PorousFlowHeatEnergy
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[fluid_heat]
type = PorousFlowHeatEnergy
include_porous_skeleton = false
phase = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 2
end_time = 10
[]
[Outputs]
execute_on = 'initial timestep_end'
file_base = heat03
[csv]
type = CSV
[]
[]
(modules/solid_mechanics/test/tests/jacobian/cosserat03.i)
[Mesh]
type = GeneratedMesh
dim = 3
[]
[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]
[../]
[./wc_z]
[../]
[]
[Kernels]
active = 'cx_elastic cy_elastic cz_elastic x_couple y_couple z_couple x_moment y_moment z_moment'
[./cx_elastic]
type = CosseratStressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[../]
[./cy_elastic]
type = CosseratStressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[../]
[./cz_elastic]
type = CosseratStressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y 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
[../]
[./z_couple]
type = StressDivergenceTensors
variable = wc_z
displacements = 'wc_x wc_y wc_z'
component = 2
base_name = couple
[../]
[./x_moment]
type = MomentBalancing
variable = wc_x
component = 0
[../]
[./y_moment]
type = MomentBalancing
variable = wc_y
component = 1
[../]
[./z_moment]
type = MomentBalancing
variable = wc_z
component = 2
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeCosseratElasticityTensor
B_ijkl = '1.3 0.98 1.4'
fill_method_bending = 'general_isotropic'
E_ijkl = '1 1.2 1.333 0.988 1 1.1 1.2 1.3 1.4 1 1.2 1.333 0.988 1 1.1 1.2 1.3 1.4 1.2 1 0.6'
fill_method = 'symmetric21'
[../]
[./strain]
type = ComputeCosseratSmallStrain
[../]
[./stress]
type = ComputeCosseratLinearElasticStress
[../]
[]
[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]
type = Transient
solve_type = Newton
[]
(modules/porous_flow/test/tests/jacobian/denergy04.i)
# 2phase, 1 component, with solid displacements, time derivative of energy-density, THM porosity
[Mesh]
type = GeneratedMesh
dim = 3
nx = 2
xmin = 0
xmax = 1
ny = 1
ymin = 0
ymax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pgas]
[]
[pwater]
[]
[temp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pgas]
type = RandomIC
variable = pgas
max = 1.0
min = 0.0
[]
[pwater]
type = RandomIC
variable = pwater
max = 0.0
min = -1.0
[]
[temp]
type = RandomIC
variable = temp
max = 1.0
min = 0.0
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[dummy_pgas]
type = Diffusion
variable = pgas
[]
[dummy_pwater]
type = Diffusion
variable = pwater
[]
[energy_dot]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pgas temp pwater disp_x disp_y disp_z'
number_fluid_phases = 2
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid0]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
cv = 1.3
[]
[simple_fluid1]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 0.5
thermal_expansion = 0
cv = 0.7
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
thermal = true
ensure_positive = false
porosity_zero = 0.7
thermal_expansion_coeff = 0.7
biot_coefficient = 0.9
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1.1
density = 0.5
[]
[ppss]
type = PorousFlow2PhasePP
phase0_porepressure = pwater
phase1_porepressure = pgas
capillary_pressure = pc
[]
[simple_fluid0]
type = PorousFlowSingleComponentFluid
fp = simple_fluid0
phase = 0
[]
[simple_fluid1]
type = PorousFlowSingleComponentFluid
fp = simple_fluid1
phase = 1
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
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]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/solid_mechanics/test/tests/truss/truss_hex.i)
# This test is designed to check
# whether truss element works well with other multi-dimensional element
# e.g. the hex element in this case, by assigning different brock number
# to different types of elements.
[Mesh]
type = FileMesh
file = truss_hex.e
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[./disp_x]
order = FIRST
family = LAGRANGE
[../]
[./disp_y]
order = FIRST
family = LAGRANGE
[../]
[./disp_z]
order = FIRST
family = LAGRANGE
[../]
[]
[AuxVariables]
[./axial_stress]
order = CONSTANT
family = MONOMIAL
[../]
[./e_over_l]
order = CONSTANT
family = MONOMIAL
[../]
[./area]
order = CONSTANT
family = MONOMIAL
# initial_condition = 1.0
[../]
[./react_x]
order = FIRST
family = LAGRANGE
[../]
[./react_y]
order = FIRST
family = LAGRANGE
[../]
[./react_z]
order = FIRST
family = LAGRANGE
[../]
[]
[Functions]
[./x2]
type = PiecewiseLinear
x = '0 1 2 3'
y = '0 .5 1 1'
[../]
[./y2]
type = PiecewiseLinear
x = '0 1 2 3'
y = '0 0 .5 1'
[../]
[]
[BCs]
[./fixx1]
type = DirichletBC
variable = disp_x
boundary = 1
value = 0.0
[../]
[./fixy1]
type = DirichletBC
variable = disp_y
boundary = 1
value = 0
[../]
[./fixz1]
type = DirichletBC
variable = disp_z
boundary = 1
value = 0
[../]
[./fixx2]
type = DirichletBC
variable = disp_x
boundary = 2
value = 0
[../]
[./fixz2]
type = DirichletBC
variable = disp_z
boundary = 2
value = 0
[../]
[./fixDummyHex_x]
type = DirichletBC
variable = disp_x
boundary = 1000
value = 0
[../]
[./fixDummyHex_y]
type = DirichletBC
variable = disp_y
boundary = 1000
value = 0
[../]
[./fixDummyHex_z]
type = DirichletBC
variable = disp_z
boundary = 1000
value = 0
[../]
[]
[DiracKernels]
[./pull]
type = ConstantPointSource
value = -25
point = '0 -2 0'
variable = disp_y
[../]
[]
[AuxKernels]
[./axial_stress]
type = MaterialRealAux
block = '1 2'
property = axial_stress
variable = axial_stress
[../]
[./e_over_l]
type = MaterialRealAux
block = '1 2'
property = e_over_l
variable = e_over_l
[../]
[./area1]
type = ConstantAux
block = 1
variable = area
value = 1.0
execute_on = 'initial timestep_begin'
[../]
[./area2]
type = ConstantAux
block = 2
variable = area
value = 0.25
execute_on = 'initial timestep_begin'
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = PJFNK
petsc_options_iname = '-pc_type -ksp_gmres_restart'
petsc_options_value = 'jacobi 101'
nl_max_its = 15
nl_rel_tol = 1e-8
nl_abs_tol = 1e-10
dt = 1
num_steps = 1
end_time = 1
[]
[Kernels]
[./truss_x]
type = StressDivergenceTensorsTruss
block = '1 2'
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
area = area
save_in = react_x
[../]
[./truss_y]
type = StressDivergenceTensorsTruss
block = '1 2'
variable = disp_y
component = 1
displacements = 'disp_x disp_y disp_z'
area = area
save_in = react_y
[../]
[./truss_z]
type = StressDivergenceTensorsTruss
block = '1 2'
variable = disp_z
component = 2
displacements = 'disp_x disp_y disp_z'
area = area
save_in = react_z
[../]
[SolidMechanics]
block = 1000
displacements = 'disp_x disp_y disp_z'
[../]
# [./hex_x]
# type = StressDivergenceTensors
# block = 1000
# variable = disp_x
# component = 0
# displacements = 'disp_x disp_y disp_z'
# [../]
# [./hex_y]
# type = StressDivergenceTensors
# block = 1000
# variable = disp_y
# component = 1
# displacements = 'disp_x disp_y disp_z'
# [../]
# [./hex_z]
# type = StressDivergenceTensors
# block = 1000
# variable = disp_z
# component = 2
# displacements = 'disp_x disp_y disp_z'
# [../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
block = 1000
youngs_modulus = 1e6
poissons_ratio = 0
[../]
[./strain]
type = ComputeSmallStrain
block = 1000
displacements = 'disp_x disp_y disp_z'
[../]
[./stress]
type = ComputeLinearElasticStress
block = 1000
[../]
[./linelast]
type = LinearElasticTruss
block = '1 2'
displacements = 'disp_x disp_y disp_z'
youngs_modulus = 1e6
[../]
[]
[Outputs]
exodus = true
[]
(modules/solid_mechanics/test/tests/jacobian/mc_update22_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Shear failure, starting from a non-symmetric stress state
[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 = 1E6
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E6
[../]
[./coh]
type = SolidMechanicsHardeningConstant
value = 10
[../]
[./phi]
type = SolidMechanicsHardeningConstant
value = 60
convert_to_radians = true
[../]
[./psi]
type = SolidMechanicsHardeningConstant
value = 5
convert_to_radians = true
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 1
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 2.0
joint_shear_stiffness = 1.0
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '6 5 4.1 5 7 2.1 4 2 2'
eigenstrain_name = ini_stress
[../]
[./cmc]
type = CappedMohrCoulombCosseratStressUpdate
host_youngs_modulus = 1
host_poissons_ratio = 0.25
tensile_strength = ts
compressive_strength = cs
cohesion = coh
friction_angle = phi
dilation_angle = psi
smoothing_tol = 1
yield_function_tol = 1.0E-12
[../]
[./stress]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = cmc
perform_finite_strain_rotations = false
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-snes_type'
petsc_options_value = 'test'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
[]
(modules/solid_mechanics/test/tests/jacobian/mc_update24_cosserat.i)
# Cosserat version of Capped Mohr Columb (using StressUpdate)
# Tensile + shear failure, starting from a non-symmetric stress state
[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 = 1E2
[../]
[./cs]
type = SolidMechanicsHardeningConstant
value = 1E8
[../]
[./coh]
type = SolidMechanicsHardeningConstant
value = 4E1
[../]
[./phi]
type = SolidMechanicsHardeningConstant
value = 35
convert_to_radians = true
[../]
[./psi]
type = SolidMechanicsHardeningConstant
value = 5
convert_to_radians = true
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeLayeredCosseratElasticityTensor
young = 1E3
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 2.0E3
joint_shear_stiffness = 1.0E3
[../]
[./strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[../]
[./ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '100.1 0.1 -0.2 0.1 0.9 0 -0.2 0 1.1'
eigenstrain_name = ini_stress
[../]
[./cmc]
type = CappedMohrCoulombCosseratStressUpdate
host_youngs_modulus = 1E3
host_poissons_ratio = 0.25
tensile_strength = ts
compressive_strength = cs
cohesion = coh
friction_angle = phi
dilation_angle = psi
smoothing_tol = 0.5
yield_function_tol = 1.0E-12
[../]
[./stress]
type = ComputeMultipleInelasticCosseratStress
inelastic_models = cmc
perform_finite_strain_rotations = false
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-snes_type'
petsc_options_value = 'test'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
[]
(modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain_cut_mesh.i)
# This test is for two layer materials with different youngs modulus with AD
# The global stress is determined by switching the stress based on level set values
# The material interface is marked by a level set function
# The two layer materials are glued together
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[XFEM]
output_cut_plane = true
[]
[UserObjects]
[cut]
type = InterfaceMeshCut2DUserObject
mesh_file = line.e
interface_velocity_function = -1
heal_always = true
[]
[]
[Mesh]
use_displaced_mesh = true
[generated_mesh]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmin = 0
xmax = 5
ymin = 0
ymax = 5
elem_type = QUAD4
[]
[left_bottom]
type = ExtraNodesetGenerator
new_boundary = 'left_bottom'
coord = '0 0'
input = generated_mesh
[]
[left_top]
type = ExtraNodesetGenerator
new_boundary = 'left_top'
coord = '0 5'
input = left_bottom
[]
[]
# [Functions]
# [ls_func]
# type = ParsedFunction
# expression = 'y-2.73+t'
# []
# []
[Variables]
[disp_x]
[]
[disp_y]
[]
[]
[AuxVariables]
[ls]
[]
[a_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[a_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[a_strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[b_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[b_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[b_strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
# [ls_function]
# type = FunctionAux
# variable = ls
# function = ls_func
# []
[a_strain_xx]
type = RankTwoAux
variable = a_strain_xx
rank_two_tensor = A_total_strain
index_i = 0
index_j = 0
[]
[a_strain_yy]
type = RankTwoAux
variable = a_strain_yy
rank_two_tensor = A_total_strain
index_i = 1
index_j = 1
[]
[a_strain_xy]
type = RankTwoAux
variable = a_strain_xy
rank_two_tensor = A_total_strain
index_i = 0
index_j = 1
[]
[b_strain_xx]
type = RankTwoAux
variable = b_strain_xx
rank_two_tensor = B_total_strain
index_i = 0
index_j = 0
[]
[b_strain_yy]
type = RankTwoAux
variable = b_strain_yy
rank_two_tensor = B_total_strain
index_i = 1
index_j = 1
[]
[b_strain_xy]
type = RankTwoAux
variable = b_strain_xy
rank_two_tensor = B_total_strain
index_i = 0
index_j = 1
[]
[stress_xx]
type = RankTwoAux
variable = stress_xx
rank_two_tensor = stress
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
variable = stress_xy
rank_two_tensor = stress
index_i = 0
index_j = 1
[]
[stress_yy]
type = RankTwoAux
variable = stress_yy
rank_two_tensor = stress
index_i = 1
index_j = 1
[]
[]
[Kernels]
[solid_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
use_displaced_mesh = true
[]
[solid_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
use_displaced_mesh = true
[]
[]
[Constraints]
[dispx_constraint]
type = XFEMSingleVariableConstraint
use_displaced_mesh = false
variable = disp_x
alpha = 1e8
geometric_cut_userobject = 'level_set_cut_uo'
[]
[dispy_constraint]
type = XFEMSingleVariableConstraint
use_displaced_mesh = false
variable = disp_y
alpha = 1e8
geometric_cut_userobject = 'level_set_cut_uo'
[]
[]
[BCs]
[bottomx]
type = DirichletBC
boundary = bottom
variable = disp_x
value = 0.0
[]
[bottomy]
type = DirichletBC
boundary = bottom
variable = disp_y
value = 0.0
[]
[topx]
type = FunctionDirichletBC
boundary = top
variable = disp_x
function = 0.03*t
[]
[topy]
type = FunctionDirichletBC
boundary = top
variable = disp_y
function = '0.03*t'
[]
[]
[Materials]
[elasticity_tensor_A]
type = ComputeIsotropicElasticityTensor
base_name = A
youngs_modulus = 1e9
poissons_ratio = 0.3
[]
[strain_A]
type = ComputeFiniteStrain
base_name = A
[]
[stress_A]
type = ComputeFiniteStrainElasticStress
base_name = A
[]
[elasticity_tensor_B]
type = ComputeIsotropicElasticityTensor
base_name = B
youngs_modulus = 1e7
poissons_ratio = 0.3
[]
[strain_B]
type = ComputeFiniteStrain
base_name = B
[]
[stress_B]
type = ComputeFiniteStrainElasticStress
base_name = B
[]
[combined_stress]
type = LevelSetBiMaterialRankTwo
levelset_positive_base = 'A'
levelset_negative_base = 'B'
level_set_var = ls
prop_name = stress
[]
[combined_jacob_mult]
type = LevelSetBiMaterialRankFour
levelset_positive_base = 'A'
levelset_negative_base = 'B'
level_set_var = ls
prop_name = Jacobian_mult
[]
[]
[Postprocessors]
[disp_x_norm]
type = ElementL2Norm
variable = disp_x
[]
[disp_y_norm]
type = ElementL2Norm
variable = disp_y
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
automatic_scaling = true
# controls for nonlinear iterations
nl_max_its = 15
nl_rel_tol = 1e-13
nl_abs_tol = 1e-50
# time control
start_time = 0.0
dt = 0.1
num_steps = 4
max_xfem_update = 1
[]
[Outputs]
print_linear_residuals = false
exodus = true
[]
(modules/solid_mechanics/test/tests/homogenization/anisoLongFiber.i)
#
# Test from:
# Multiple Scale Analysis of Heterogeneous Elastic Structures Using
# Homogenization Theory and Voronoi Cell Finite Element Method
# by S.Ghosh et. al, Int J. Solids Structures, Vol. 32, No. 1,
# pp. 27-62, 1995.
#
# From that paper, elastic constants should be:
# E1111: 136.1
# E2222: 245.8
# E1212: 46.85
# E1122: 36.08
#
# Note: this is for plane stress conditions
#
[Mesh]
file = anisoLongFiber.e
[]
[Variables]
[./dx_xx]
order = FIRST
family = LAGRANGE
[../]
[./dy_xx]
order = FIRST
family = LAGRANGE
[../]
[./dx_yy]
order = FIRST
family = LAGRANGE
[../]
[./dy_yy]
order = FIRST
family = LAGRANGE
[../]
[./dx_xy]
order = FIRST
family = LAGRANGE
[../]
[./dy_xy]
order = FIRST
family = LAGRANGE
[../]
[]
[Kernels]
[./div_x_xx]
type = StressDivergenceTensors
component = 0
variable = dx_xx
displacements = 'dx_xx dy_xx'
use_displaced_mesh = false
base_name = xx
[../]
[./div_y_xx]
type = StressDivergenceTensors
component = 1
variable = dy_xx
displacements = 'dx_xx dy_xx'
use_displaced_mesh = false
base_name = xx
[../]
[./div_x_yy]
type = StressDivergenceTensors
component = 0
variable = dx_yy
displacements = 'dx_yy dy_yy'
use_displaced_mesh = false
base_name = yy
[../]
[./div_y_yy]
type = StressDivergenceTensors
component = 1
variable = dy_yy
displacements = 'dx_yy dy_yy'
use_displaced_mesh = false
base_name = yy
[../]
[./div_x_xy]
type = StressDivergenceTensors
component = 0
variable = dx_xy
displacements = 'dx_xy dy_xy'
use_displaced_mesh = false
base_name = xy
[../]
[./div_y_xy]
type = StressDivergenceTensors
component = 1
variable = dy_xy
displacements = 'dx_xy dy_xy'
use_displaced_mesh = false
base_name = xy
[../]
[./homo_dx_xx]
type = AsymptoticExpansionHomogenizationKernel
variable = dx_xx
component = 0
column = xx
base_name = xx
[../]
[./homo_dy_xx]
type = AsymptoticExpansionHomogenizationKernel
variable = dy_xx
component = 1
column = xx
base_name = xx
[../]
[./homo_dx_yy]
type = AsymptoticExpansionHomogenizationKernel
variable = dx_yy
component = 0
column = yy
base_name = yy
[../]
[./homo_dy_yy]
type = AsymptoticExpansionHomogenizationKernel
variable = dy_yy
component = 1
column = yy
base_name = yy
[../]
[./homo_dx_xy]
type = AsymptoticExpansionHomogenizationKernel
variable = dx_xy
component = 0
column = xy
base_name = xy
[../]
[./homo_dy_xy]
type = AsymptoticExpansionHomogenizationKernel
variable = dy_xy
component = 1
column = xy
base_name = xy
[../]
[]
[BCs]
[./Periodic]
[./top_bottom]
primary = 30
secondary = 40
translation = '0 1 0'
[../]
[./left_right]
primary = 10
secondary = 20
translation = '1 0 0'
[../]
[../]
[./dx_xx_anchor]
type = DirichletBC
variable = dx_xx
boundary = 1
value = 0.0
[../]
[./dy_xx_anchor]
type = DirichletBC
variable = dy_xx
boundary = 1
value = 0.0
[../]
[./dx_yy_anchor]
type = DirichletBC
variable = dx_yy
boundary = 1
value = 0.0
[../]
[./dy_yy_anchor]
type = DirichletBC
variable = dy_yy
boundary = 1
value = 0.0
[../]
[./dx_xy_anchor]
type = DirichletBC
variable = dx_xy
boundary = 1
value = 0.0
[../]
[./dy_xy_anchor]
type = DirichletBC
variable = dy_xy
boundary = 1
value = 0.0
[../]
[]
[Materials]
[./elastic_stress_xx]
type = ComputeLinearElasticStress
base_name = xx
[../]
[./elastic_stress_yy]
type = ComputeLinearElasticStress
base_name = yy
[../]
[./elastic_stress_xy]
type = ComputeLinearElasticStress
base_name = xy
[../]
[./strain_xx]
type = ComputeSmallStrain
displacements = 'dx_xx dy_xx'
base_name = xx
[../]
[./strain_yy]
type = ComputeSmallStrain
displacements = 'dx_yy dy_yy'
base_name = yy
[../]
[./strain_xy]
type = ComputeSmallStrain
displacements = 'dx_xy dy_xy'
base_name = xy
[../]
[./block1]
type = ComputeElasticityTensor
block = 1
fill_method = symmetric9
C_ijkl = '81.360117 26.848839 26.848839 81.360117 26.848839 81.360117 27.255639 27.255639 27.255639'
base_name = xx
[../]
[./block2]
type = ComputeElasticityTensor
block = 1
fill_method = symmetric9
C_ijkl = '81.360117 26.848839 26.848839 81.360117 26.848839 81.360117 27.255639 27.255639 27.255639'
base_name = yy
[../]
[./block3]
type = ComputeElasticityTensor
block = 1
fill_method = symmetric9
C_ijkl = '81.360117 26.848839 26.848839 81.360117 26.848839 81.360117 27.255639 27.255639 27.255639'
base_name = xy
[../]
[./block4]
type = ComputeElasticityTensor
block = 2
fill_method = symmetric9
C_ijkl = '416.66667 83.33333 83.33333 416.6667 83.33333 416.66667 166.66667 166.66667 166.66667'
base_name = xx
[../]
[./block5]
type = ComputeElasticityTensor
block = 2
fill_method = symmetric9
C_ijkl = '416.66667 83.33333 83.33333 416.6667 83.33333 416.66667 166.66667 166.66667 166.66667'
base_name = yy
[../]
[./block6]
type = ComputeElasticityTensor
block = 2
fill_method = symmetric9
C_ijkl = '416.66667 83.33333 83.33333 416.6667 83.33333 416.66667 166.66667 166.66667 166.66667'
base_name = xy
[../]
[]
[Postprocessors]
[./E1111]
type = AsymptoticExpansionHomogenizationElasticConstants
base_name = xx
row = xx
column = xx
dx_xx = dx_xx
dy_xx = dy_xx
dx_yy = dx_yy
dy_yy = dy_yy
dx_xy = dx_xy
dy_xy = dy_xy
execute_on = 'initial timestep_end'
[../]
[./E2222]
type = AsymptoticExpansionHomogenizationElasticConstants
base_name = xx
row = yy
column = yy
dx_xx = dx_xx
dy_xx = dy_xx
dx_yy = dx_yy
dy_yy = dy_yy
dx_xy = dx_xy
dy_xy = dy_xy
execute_on = 'initial timestep_end'
[../]
[./E1122]
type = AsymptoticExpansionHomogenizationElasticConstants
base_name = xx
row = xx
column = yy
dx_xx = dx_xx
dy_xx = dy_xx
dx_yy = dx_yy
dy_yy = dy_yy
dx_xy = dx_xy
dy_xy = dy_xy
execute_on = 'initial timestep_end'
[../]
[./E2211]
type = AsymptoticExpansionHomogenizationElasticConstants
base_name = xx
row = yy
column = xx
dx_xx = dx_xx
dy_xx = dy_xx
dx_yy = dx_yy
dy_yy = dy_yy
dx_xy = dx_xy
dy_xy = dy_xy
execute_on = 'initial timestep_end'
[../]
[./E1212]
type = AsymptoticExpansionHomogenizationElasticConstants
base_name = xx
row = xy
column = xy
dx_xx = dx_xx
dy_xx = dy_xx
dx_yy = dx_yy
dy_yy = dy_yy
dx_xy = dx_xy
dy_xy = dy_xy
execute_on = 'initial timestep_end'
[../]
[]
[Preconditioning]
[./SMP]
type = SMP
full = true
[../]
[]
[Executioner]
type = Transient
solve_type = 'PJFNK'
petsc_options = '-ksp_gmres_modifiedgramschmidt'
petsc_options_iname = '-ksp_gmres_restart -pc_type -pc_hypre_type -pc_hypre_boomeramg_max_iter -pc_hypre_boomeramg_grid_sweeps_all -ksp_type -mat_mffd_type'
petsc_options_value = '201 hypre boomeramg 2 2 fgmres ds'
line_search = 'none'
l_tol = 1e-4
l_max_its = 40
nl_max_its = 40
nl_abs_tol = 1e-10
nl_rel_tol = 1e-10
start_time = 0.0
end_time = 10.0
num_steps = 1
dt = 10
[]
[Outputs]
exodus = true
[]
(modules/porous_flow/test/tests/jacobian/mass10_nodens.i)
# 1phase
# vanGenuchten, constant-bulk density, HM porosity, 1component, unsaturated
# multiply_by_density = false
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pp]
type = RandomIC
variable = pp
min = -1
max = 1
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
strain_at_nearest_qp = true
multiply_by_density = false
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = pp
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
strain_at_nearest_qp = true
[]
[nearest_qp]
type = PorousFlowNearestQp
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
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]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/solid_mechanics/test/tests/jacobian/cto28.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'
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[Kernels]
[./cx_elastic]
type = StressDivergenceTensors
variable = disp_x
component = 0
[../]
[./cy_elastic]
type = StressDivergenceTensors
variable = disp_y
component = 1
[../]
[./cz_elastic]
type = StressDivergenceTensors
variable = disp_z
component = 2
[../]
[]
[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
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 10.0
poissons_ratio = 0.25
[../]
[./strain]
type = ComputeIncrementalStrain
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 = ComputeMultipleInelasticStress
inelastic_models = 'dp'
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
[../]
[./dp]
type = CappedDruckerPragerStressUpdate
base_name = dp
DP_model = dp
tensile_strength = ts
compressive_strength = cs
yield_function_tol = 1E-11
tip_smoother = 1
smoothing_tol = 1
[../]
[]
[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/combined/test/tests/poro_mechanics/pp_generation.i)
# A sample is constrained on all sides and its boundaries are
# also impermeable. Fluid is pumped into the sample via a
# volumetric source (ie m^3/second per cubic meter), and the
# rise in porepressure is observed.
#
# Source = s (units = 1/second)
#
# Expect:
# porepressure = Biot-Modulus*s*t
# stress = 0 (remember this is effective stress)
#
# Parameters:
# Biot coefficient = 0.3
# Porosity = 0.1
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 1/0.3 = 3.333333
# 1/Biot modulus = (1 - 0.3)*(0.3 - 0.1)/2 + 0.1*0.3 = 0.1. BiotModulus = 10
# s = 0.1
#
# Expect
# porepressure = t
# stress = 0
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
porepressure = porepressure
block = 0
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[./porepressure]
[../]
[]
[BCs]
[./confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[../]
[./confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[../]
[./confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[../]
[]
[Kernels]
[./grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[../]
[./grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[../]
[./grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[../]
[./poro_x]
type = PoroMechanicsCoupling
variable = disp_x
component = 0
[../]
[./poro_y]
type = PoroMechanicsCoupling
variable = disp_y
component = 1
[../]
[./poro_z]
type = PoroMechanicsCoupling
variable = disp_z
component = 2
[../]
[./poro_timederiv]
type = PoroFullSatTimeDerivative
variable = porepressure
[../]
[./source]
type = BodyForce
function = 0.1
variable = porepressure
[../]
[]
[AuxVariables]
[./stress_xx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yy]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
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_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_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[../]
[./strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[../]
[./stress]
type = ComputeLinearElasticStress
[../]
[./poro_material]
type = PoroFullSatMaterial
porosity0 = 0.1
biot_coefficient = 0.3
solid_bulk_compliance = 0.5
fluid_bulk_compliance = 0.3
constant_porosity = true
[../]
[]
[Postprocessors]
[./p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[../]
[./zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[../]
[./stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[../]
[./stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[../]
[./stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[../]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = pp_generation
[./csv]
type = CSV
[../]
[]
(modules/solid_mechanics/include/kernels/DynamicStressDivergenceTensors.h)
// This file is part of the MOOSE framework
// https://mooseframework.inl.gov
//
// All rights reserved, see COPYRIGHT for full restrictions
// https://github.com/idaholab/moose/blob/master/COPYRIGHT
//
// Licensed under LGPL 2.1, please see LICENSE for details
// https://www.gnu.org/licenses/lgpl-2.1.html
#pragma once
#include "StressDivergenceTensors.h"
/**
* DynamicStressDivergenceTensors derives from StressDivergenceTensors and adds stress related
* Rayleigh and HHT time integration terms.
*/
class DynamicStressDivergenceTensors : public StressDivergenceTensors
{
public:
static InputParameters validParams();
DynamicStressDivergenceTensors(const InputParameters & parameters);
protected:
virtual Real computeQpResidual();
virtual Real computeQpJacobian();
virtual Real computeQpOffDiagJacobian(unsigned int jvar);
///{@ The old and older states of the stress tensor that the divergence operator operates on
const MaterialProperty<RankTwoTensor> & _stress_older;
const MaterialProperty<RankTwoTensor> & _stress_old;
///@}
// Rayleigh damping parameter _zeta and HHT time integration parameter _alpha
const MaterialProperty<Real> & _zeta;
const Real _alpha;
const bool _static_initialization;
};
(modules/solid_mechanics/include/kernels/StressDivergenceRZTensors.h)
// This file is part of the MOOSE framework
// https://mooseframework.inl.gov
//
// All rights reserved, see COPYRIGHT for full restrictions
// https://github.com/idaholab/moose/blob/master/COPYRIGHT
//
// Licensed under LGPL 2.1, please see LICENSE for details
// https://www.gnu.org/licenses/lgpl-2.1.html
#pragma once
#include "StressDivergenceTensors.h"
// Forward Declarations
/**
* StressDivergenceRZTensors is a modification of StressDivergenceTensors to
* accommodate the Axisymmetric material models that use cylindrical coordinates.
* This kernel is for symmetrical loading only. The key modifications are a result
* of the circumferential stress' dependence on displacement in the axial direction.
* Reference: Cook et.al. Concepts and Applications of Finite Element Analysis,
* 4th Ed. 2002. p 510.
* Within this kernel, '_disp_x' refers to displacement in the radial direction,
* u_r, and '_disp_y' refers to displacement in the axial direction, u_z.
* The COORD_TYPE in the Problem block must be set to RZ.
*/
class StressDivergenceRZTensors : public StressDivergenceTensors
{
public:
static InputParameters validParams();
StressDivergenceRZTensors(const InputParameters & parameters);
protected:
virtual void initialSetup() override;
virtual Real computeQpResidual() override;
virtual Real computeQpJacobian() override;
virtual Real computeQpOffDiagJacobian(unsigned int jvar) override;
virtual void computeAverageGradientTest() override;
virtual void computeAverageGradientPhi() override;
Real calculateJacobian(unsigned int ivar, unsigned int jvar);
};
(modules/solid_mechanics/include/kernels/CosseratStressDivergenceTensors.h)
// This file is part of the MOOSE framework
// https://mooseframework.inl.gov
//
// All rights reserved, see COPYRIGHT for full restrictions
// https://github.com/idaholab/moose/blob/master/COPYRIGHT
//
// Licensed under LGPL 2.1, please see LICENSE for details
// https://www.gnu.org/licenses/lgpl-2.1.html
#pragma once
#include "StressDivergenceTensors.h"
// Forward Declarations
/**
* Computes grad_i(stress_{i component})
* This is exactly the same as StressDivergenceTensors,
* only the Jacobian entries are correct for the Cosserat case
*/
class CosseratStressDivergenceTensors : public StressDivergenceTensors
{
public:
static InputParameters validParams();
CosseratStressDivergenceTensors(const InputParameters & parameters);
protected:
virtual Real computeQpOffDiagJacobian(unsigned int jvar);
/// Number of Cosserat rotation variables supplied by user
const unsigned int _nrots;
/// The MOOSE variable numbers of the Cosserat rotation variables
std::vector<unsigned int> _wc_var;
};
(modules/solid_mechanics/include/kernels/StressDivergenceRSphericalTensors.h)
// This file is part of the MOOSE framework
// https://mooseframework.inl.gov
//
// All rights reserved, see COPYRIGHT for full restrictions
// https://github.com/idaholab/moose/blob/master/COPYRIGHT
//
// Licensed under LGPL 2.1, please see LICENSE for details
// https://www.gnu.org/licenses/lgpl-2.1.html
#pragma once
#include "StressDivergenceTensors.h"
// Forward Declarations
/**
* StressDivergenceRSphericalTensors is a modification of StressDivergenceTensors
* for 1D spherically symmetric problems. The main modifications from the original
* StressDivergenceTensors code are requirements from the dependence of stress in
* the polar and azimuthal stresses on displacement and position in the radial
* direction. This kernel is for symmetrical loading only.
* If solving an anisotropic material problem, recall that the orientation of
* the basis vectors (\hat{e}_r) change with position, so the components of the
* elasticity tensor are functions of position.
* Reference: Bower, A.F. Applied Mechanics of Solids (2012). Chapter 4. Available
* online at solidmechanics.org
* Within this kernel, '_disp_x' refers to displacement in the radial direction.
* The COORD_TYPE in the Problem block must be set to RSpherical.
*/
class StressDivergenceRSphericalTensors : public StressDivergenceTensors
{
public:
static InputParameters validParams();
StressDivergenceRSphericalTensors(const InputParameters & parameters);
protected:
virtual void initialSetup() override;
virtual Real computeQpResidual() override;
virtual Real computeQpJacobian() override;
virtual Real computeQpOffDiagJacobian(unsigned int jvar) override;
Real calculateJacobian(unsigned int ivar, unsigned int jvar);
};