- internal_constraint_toleranceThe Newton-Raphson process is only deemed converged if the internal constraint is less than this.
C++ Type:double

Description:The Newton-Raphson process is only deemed converged if the internal constraint is less than this.

- yield_function_toleranceIf the yield function is less than this amount, the (stress, internal parameter) are deemed admissible.
C++ Type:double

Description:If the yield function is less than this amount, the (stress, internal parameter) are deemed admissible.

- smootherFor the 'hyperbolic' tip_scheme, the cone vertex at shear-stress = 0 will be smoothed by the given amount. For the 'cap' tip_scheme, additional smoothing will occur. Typical value is 0.1*cohesion
C++ Type:double

Description:For the 'hyperbolic' tip_scheme, the cone vertex at shear-stress = 0 will be smoothed by the given amount. For the 'cap' tip_scheme, additional smoothing will occur. Typical value is 0.1*cohesion

- tan_dilation_angleA TensorMechanicsHardening UserObject that defines hardening of the tan(dilation angle). Usually the dilation angle is not greater than the friction angle, and it is between 0 and 90deg.
C++ Type:UserObjectName

Description:A TensorMechanicsHardening UserObject that defines hardening of the tan(dilation angle). Usually the dilation angle is not greater than the friction angle, and it is between 0 and 90deg.

- cohesionA TensorMechanicsHardening UserObject that defines hardening of the cohesion. Physically the cohesion should not be negative.
C++ Type:UserObjectName

Description:A TensorMechanicsHardening UserObject that defines hardening of the cohesion. Physically the cohesion should not be negative.

- tan_friction_angleA TensorMechanicsHardening UserObject that defines hardening of tan(friction angle). Physically the friction angle should be between 0 and 90deg.
C++ Type:UserObjectName

Description:A TensorMechanicsHardening UserObject that defines hardening of tan(friction angle). Physically the friction angle should be between 0 and 90deg.

<!– MOOSE Documentation Stub: Remove this when content is added. –>

# TensorMechanicsPlasticWeakPlaneShear

The TensorMechanicsPlasticWeakPlaneShear has not been documented. The content contained on this page includes the basic documentation associated with a MooseObject; however, what is contained is ultimately determined by what is necessary to make the documentation clear for users.

Non-associative finite-strain weak-plane shear perfect plasticity. Here cohesion = 1, tan(phi) = 1 = tan(psi)

## Input Parameters

- execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM.
Default:TIMESTEP_END

C++ Type:ExecFlagEnum

Options:NONE INITIAL LINEAR NONLINEAR TIMESTEP_END TIMESTEP_BEGIN FINAL CUSTOM

Description:The list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM.

- cap_start0For the 'cap' tip_scheme, smoothing is performed in the stress_zz > cap_start region
Default:0

C++ Type:double

Options:

Description:For the 'cap' tip_scheme, smoothing is performed in the stress_zz > cap_start region

- tip_schemehyperbolicScheme by which the cone's tip will be smoothed.
Default:hyperbolic

C++ Type:MooseEnum

Options:hyperbolic cap

Description:Scheme by which the cone's tip will be smoothed.

- cap_rate0For the 'cap' tip_scheme, this controls how quickly the cap degenerates to a hemisphere: small values mean a slow degeneration to a hemisphere (and zero means the 'cap' will be totally inactive). Typical value is 1/cohesion
Default:0

C++ Type:double

Options:

Description:For the 'cap' tip_scheme, this controls how quickly the cap degenerates to a hemisphere: small values mean a slow degeneration to a hemisphere (and zero means the 'cap' will be totally inactive). Typical value is 1/cohesion

### Optional Parameters

- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector

Options:

Description:Adds user-defined labels for accessing object parameters via control logic.

- enableTrueSet the enabled status of the MooseObject.
Default:True

C++ Type:bool

Options:

Description:Set the enabled status of the MooseObject.

- allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False

C++ Type:bool

Options:

Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).

- force_preauxFalseForces the GeneralUserObject to be executed in PREAUX
Default:False

C++ Type:bool

Options:

Description:Forces the GeneralUserObject to be executed in PREAUX

- 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

Options:

Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

### Advanced Parameters

## Input Files

- modules/tensor_mechanics/test/tests/weak_plane_shear/except2.i
- modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform1.i
- modules/tensor_mechanics/test/tests/multi/rock1.i
- modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform2.i
- modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform_harden1.i
- modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform3.i
- modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform_harden3.i
- modules/tensor_mechanics/test/tests/multi/paper3.i
- modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform2.i
- modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform_harden4.i
- modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform3.i
- modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform_harden2.i
- modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform4.i
- modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform_harden3.i
- modules/tensor_mechanics/test/tests/weak_plane_shear/except1.i
- modules/tensor_mechanics/test/tests/multi/special_joint1.i
- modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform1.i
- modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform4.i

#### modules/tensor_mechanics/test/tests/weak_plane_shear/except2.i

```
# checking for exception error messages
[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
[]
[Variables]
[./x_disp]
[../]
[./y_disp]
[../]
[./z_disp]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'x_disp y_disp z_disp'
[../]
[]
[BCs]
[./bottomx]
type = PresetBC
variable = x_disp
boundary = back
value = 0.0
[../]
[./bottomy]
type = PresetBC
variable = y_disp
boundary = back
value = 0.0
[../]
[./bottomz]
type = PresetBC
variable = z_disp
boundary = back
value = 0.0
[../]
[./topx]
type = PresetBC
variable = x_disp
boundary = front
value = 8E-6
[../]
[./topy]
type = PresetBC
variable = y_disp
boundary = front
value = 6E-6
[../]
[./topz]
type = PresetBC
variable = z_disp
boundary = front
value = 1E-6
[../]
[]
[AuxVariables]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
[../]
[./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_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./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]
[./coh]
type = TensorMechanicsHardeningConstant
value = 1
[../]
[./tanphi]
type = TensorMechanicsHardeningConstant
value = 0.5
[../]
[./tanpsi]
type = TensorMechanicsHardeningConstant
value = 0.1111077
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
smoother = 0
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-3
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E6'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'x_disp y_disp z_disp'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
plastic_models = wps
transverse_direction = '0 0 0'
ep_plastic_tolerance = 1E-3
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = except
exodus = true
[./csv]
type = CSV
[../]
[]
```

#### modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform1.i

```
# rotate the mesh by 90degrees
# then pull in the z direction - should be no plasticity
[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
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[BCs]
# rotate:
# ynew = c*y + s*z. znew = -s*y + c*z
[./bottomx]
type = FunctionPresetBC
variable = disp_x
boundary = back
function = '0'
[../]
[./bottomy]
type = FunctionPresetBC
variable = disp_y
boundary = back
function = '0*y+1*z-y'
[../]
[./bottomz]
type = FunctionPresetBC
variable = disp_z
boundary = back
function = '-1*y+0*z-z+if(t>0,0.5-y,0)' # note that this uses original nodal values of (x,y,z)
[../]
[./topx]
type = FunctionPresetBC
variable = disp_x
boundary = front
function = '0'
[../]
[./topy]
type = FunctionPresetBC
variable = disp_y
boundary = front
function = '0*y+1*z-y'
[../]
[./topz]
type = FunctionPresetBC
variable = disp_z
boundary = front
function = '-1*y+0*z-z+if(t>0,0.5-y,0)' # note that this uses original nodal values of (x,y,z)
[../]
[]
[AuxVariables]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
[../]
[./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_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./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]
[./coh]
type = TensorMechanicsHardeningConstant
value = 1
[../]
[./tanphi]
type = TensorMechanicsHardeningConstant
value = 0.5
[../]
[./tanpsi]
type = TensorMechanicsHardeningConstant
value = 0.1111077
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
smoother = 0.5
yield_function_tolerance = 1E-6
internal_constraint_tolerance = 1E-6
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E6'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
plastic_models = wps
transverse_direction = '0 0 1'
ep_plastic_tolerance = 1E-5
debug_fspb = crash
[../]
[]
[Executioner]
start_time = -1
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = large_deform1
[./csv]
type = CSV
[../]
[./exodus]
type = Exodus
[../]
[]
```

#### modules/tensor_mechanics/test/tests/multi/rock1.i

```
# Plasticity models:
# Mohr-Coulomb with cohesion = 40MPa, friction angle = 35deg, dilation angle = 10deg
# Tensile with strength = 1MPa
# WeakPlaneShear with cohesion = 1MPa, friction angle = 25deg, dilation angle = 25deg
# WeakPlaneTensile with strength = 0.01MPa
#
# Lame lambda = 1GPa. Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1000
ny = 1234
nz = 1
xmin = 0
xmax = 1000
ymin = 0
ymax = 1234
zmin = 0
zmax = 1
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[ICs]
[./x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[../]
[./y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[../]
[./z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[../]
[]
[BCs]
[./x]
type = FunctionPresetBC
variable = disp_x
boundary = 'front back'
function = '0'
[../]
[./y]
type = FunctionPresetBC
variable = disp_y
boundary = 'front back'
function = '0'
[../]
[./z]
type = FunctionPresetBC
variable = disp_z
boundary = 'front back'
function = '0'
[../]
[]
[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
[../]
[./f0]
order = CONSTANT
family = MONOMIAL
[../]
[./f1]
order = CONSTANT
family = MONOMIAL
[../]
[./f2]
order = CONSTANT
family = MONOMIAL
[../]
[./f3]
order = CONSTANT
family = MONOMIAL
[../]
[./int0]
order = CONSTANT
family = MONOMIAL
[../]
[./int1]
order = CONSTANT
family = MONOMIAL
[../]
[./int2]
order = CONSTANT
family = MONOMIAL
[../]
[./int3]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
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
[../]
[./f0]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = f0
[../]
[./f1]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 1
variable = f1
[../]
[./f2]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 2
variable = f2
[../]
[./f3]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 3
variable = f3
[../]
[./int0]
type = MaterialStdVectorAux
property = plastic_internal_parameter
factor = 1E6
index = 0
variable = int0
[../]
[./int1]
type = MaterialStdVectorAux
property = plastic_internal_parameter
factor = 1E6
index = 1
variable = int1
[../]
[./int2]
type = MaterialStdVectorAux
property = plastic_internal_parameter
factor = 1E6
index = 2
variable = int2
[../]
[./int3]
type = MaterialStdVectorAux
property = plastic_internal_parameter
factor = 1E6
index = 3
variable = int3
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./raw_f0]
type = ElementExtremeValue
variable = f0
outputs = console
[../]
[./raw_f1]
type = ElementExtremeValue
variable = f1
outputs = console
[../]
[./raw_f2]
type = ElementExtremeValue
variable = f2
outputs = console
[../]
[./raw_f3]
type = ElementExtremeValue
variable = f3
outputs = console
[../]
[./iter]
type = ElementExtremeValue
variable = iter
outputs = console
[../]
[./f0]
type = FunctionValuePostprocessor
function = should_be_zero0_fcn
[../]
[./f1]
type = FunctionValuePostprocessor
function = should_be_zero1_fcn
[../]
[./f2]
type = FunctionValuePostprocessor
function = should_be_zero2_fcn
[../]
[./f3]
type = FunctionValuePostprocessor
function = should_be_zero3_fcn
[../]
[]
[Functions]
[./should_be_zero0_fcn]
type = ParsedFunction
value = 'if(a<1E-1,0,a)'
vars = 'a'
vals = 'raw_f0'
[../]
[./should_be_zero1_fcn]
type = ParsedFunction
value = 'if(a<1E-1,0,a)'
vars = 'a'
vals = 'raw_f1'
[../]
[./should_be_zero2_fcn]
type = ParsedFunction
value = 'if(a<1E-1,0,a)'
vars = 'a'
vals = 'raw_f2'
[../]
[./should_be_zero3_fcn]
type = ParsedFunction
value = 'if(a<1E-1,0,a)'
vars = 'a'
vals = 'raw_f3'
[../]
[]
[UserObjects]
[./mc_coh]
type = TensorMechanicsHardeningConstant
value = 4E7
[../]
[./mc_phi]
type = TensorMechanicsHardeningConstant
value = 35
convert_to_radians = true
[../]
[./mc_psi]
type = TensorMechanicsHardeningConstant
value = 10
convert_to_radians = true
[../]
[./mc]
type = TensorMechanicsPlasticMohrCoulomb
cohesion = mc_coh
friction_angle = mc_phi
dilation_angle = mc_psi
mc_tip_smoother = 4E6
yield_function_tolerance = 1.0E-1
internal_constraint_tolerance = 1.0E-7
[../]
[./ts]
type = TensorMechanicsHardeningConstant
value = 1E6
[../]
[./tensile]
type = TensorMechanicsPlasticTensile
tensile_strength = ts
tensile_tip_smoother = 1E5
yield_function_tolerance = 1.0E-1
internal_constraint_tolerance = 1.0E-7
[../]
[./coh]
type = TensorMechanicsHardeningConstant
value = 1E6
[../]
[./tanphi]
type = TensorMechanicsHardeningConstant
value = 0.46630766
[../]
[./tanpsi]
type = TensorMechanicsHardeningConstant
value = 0.46630766
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
smoother = 1E5
yield_function_tolerance = 1.0E-1
internal_constraint_tolerance = 1.0E-7
[../]
[./str]
type = TensorMechanicsHardeningConstant
value = 0.01E6
[../]
[./wpt]
type = TensorMechanicsPlasticWeakPlaneTensile
tensile_strength = str
yield_function_tolerance = 1.0E-1
internal_constraint_tolerance = 1.0E-7
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '1E9 1.3E9'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./multi]
type = ComputeMultiPlasticityStress
block = 0
ep_plastic_tolerance = 1E-7
plastic_models = 'mc tensile wps wpt'
deactivation_scheme = 'optimized_to_safe_to_dumb'
max_NR_iterations = 20
min_stepsize = 1E-4
max_stepsize_for_dumb = 1E-3
debug_fspb = crash
debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
debug_jac_at_pm = '1 1 1 1'
debug_jac_at_intnl = '1 1 1 1'
debug_stress_change = 1E1
debug_pm_change = '1E-6 1E-6 1E-6 1E-6'
debug_intnl_change = '1E-6 1E-6 1E-6 1E-6'
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = rock1
exodus = false
[./csv]
type = CSV
[../]
[]
```

#### modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform2.i

```
# apply a pure tension, then some shear with compression
# the BCs are designed to map out the yield function, showing
# the affect of the small_smoother parameter
[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
[]
[Variables]
[./x_disp]
[../]
[./y_disp]
[../]
[./z_disp]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'x_disp y_disp z_disp'
[../]
[]
[BCs]
[./bottomx]
type = PresetBC
variable = x_disp
boundary = back
value = 0.0
[../]
[./bottomy]
type = PresetBC
variable = y_disp
boundary = back
value = 0.0
[../]
[./bottomz]
type = PresetBC
variable = z_disp
boundary = back
value = 0.0
[../]
[./topx]
type = FunctionPresetBC
variable = x_disp
boundary = front
function = 'if(t<1E-6,0,3*t)'
[../]
[./topy]
type = FunctionPresetBC
variable = y_disp
boundary = front
function = 'if(t<1E-6,0,5*(t-0.01E-6))'
[../]
[./topz]
type = FunctionPresetBC
variable = z_disp
boundary = front
function = 'if(t<1E-6,t,2E-6-t)'
[../]
[]
[AuxVariables]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
[../]
[./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_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./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]
[./coh]
type = TensorMechanicsHardeningConstant
value = 1E3
[../]
[./tanphi]
type = TensorMechanicsHardeningConstant
value = 1
[../]
[./tanpsi]
type = TensorMechanicsHardeningConstant
value = 0.01745506
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
smoother = 500
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-6
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '1E9 0.5E9'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'x_disp y_disp z_disp'
[../]
[./mc]
type = ComputeMultiPlasticityStress
ep_plastic_tolerance = 1E-4
block = 0
plastic_models = wps
transverse_direction = '0 0 1'
debug_fspb = crash
[../]
[]
[Executioner]
end_time = 2E-6
dt = 1E-7
type = Transient
[]
[Outputs]
file_base = small_deform2
exodus = true
[./csv]
type = CSV
[../]
[]
```

#### modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform_harden1.i

```
# apply repeated stretches to observe cohesion hardening
[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
[]
[Variables]
[./x_disp]
[../]
[./y_disp]
[../]
[./z_disp]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'x_disp y_disp z_disp'
[../]
[]
[BCs]
[./bottomx]
type = PresetBC
variable = x_disp
boundary = back
value = 0.0
[../]
[./bottomy]
type = PresetBC
variable = y_disp
boundary = back
value = 0.0
[../]
[./bottomz]
type = PresetBC
variable = z_disp
boundary = back
value = 0.0
[../]
[./topx]
type = FunctionPresetBC
variable = x_disp
boundary = front
function = '0'
[../]
[./topy]
type = FunctionPresetBC
variable = y_disp
boundary = front
function = '0'
[../]
[./topz]
type = FunctionPresetBC
variable = z_disp
boundary = front
function = '2*t'
[../]
[]
[AuxVariables]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./wps_internal]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
[../]
[./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
[../]
[./wps_internal_auxk]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 0
variable = wps_internal
[../]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = yield_fcn
[../]
[]
[Postprocessors]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./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
[../]
[./int]
type = PointValue
point = '0 0 0'
variable = wps_internal
[../]
[]
[UserObjects]
[./coh]
type = TensorMechanicsHardeningExponential
value_0 = 1E3
value_residual = 2E3
rate = 4E4
[../]
[./tanphi]
type = TensorMechanicsHardeningConstant
value = 1.0
[../]
[./tanpsi]
type = TensorMechanicsHardeningConstant
value = 0.01745506
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
smoother = 500
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-3
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '1E9 0.5E9'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'x_disp y_disp z_disp'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
plastic_models = wps
transverse_direction = '0 0 1'
ep_plastic_tolerance = 1E-3
debug_fspb = crash
[../]
[]
[Executioner]
end_time = 1E-6
dt = 1E-7
type = Transient
[]
[Outputs]
file_base = small_deform_harden1
exodus = true
[./csv]
type = CSV
[../]
[]
```

#### modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform3.i

```
# apply a number of "random" configurations and
# check that the algorithm returns to the yield surface
#
# must be careful here - we cannot put in arbitrary values of C_ijkl, otherwise the condition
# df/dsigma * C * flow_dirn < 0 for some stresses
# The important features that must be obeyed are:
# 0 = C_0222 = C_1222 (holds for transversely isotropic, for instance)
# C_0212 < C_0202 = C_1212 (holds for transversely isotropic)
[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
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[BCs]
[./bottomx]
type = PresetBC
variable = disp_x
boundary = back
value = 0.0
[../]
[./bottomy]
type = PresetBC
variable = disp_y
boundary = back
value = 0.0
[../]
[./bottomz]
type = PresetBC
variable = disp_z
boundary = back
value = 0.0
[../]
# the following are "random" deformations
# each is O(1E-5) to keep deformations small
[./topx]
type = FunctionPresetBC
variable = disp_x
boundary = front
function = '(sin(0.1*t)+x)/1E5'
[../]
[./topy]
type = FunctionPresetBC
variable = disp_y
boundary = front
function = '(cos(t)+x*y)/1E5'
[../]
[./topz]
type = FunctionPresetBC
variable = disp_z
boundary = front
function = 'sin(0.4321*t)*x*y*z/1E5'
[../]
[]
[AuxVariables]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = yield_fcn
[../]
[]
[Postprocessors]
[./yield_fcn_at_zero]
type = PointValue
point = '0 0 0'
variable = yield_fcn
outputs = 'console'
[../]
[./should_be_zero]
type = FunctionValuePostprocessor
function = should_be_zero_fcn
[../]
[]
[Functions]
[./should_be_zero_fcn]
type = ParsedFunction
value = 'if(a<1E-3,0,a)'
vars = 'a'
vals = 'yield_fcn_at_zero'
[../]
[]
[UserObjects]
[./coh]
type = TensorMechanicsHardeningConstant
value = 1E3
[../]
[./tanphi]
type = TensorMechanicsHardeningConstant
value = 0.5773503
[../]
[./tanpsi]
type = TensorMechanicsHardeningConstant
value = 0.08748866
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
smoother = 100
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-3
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
# the following is transversely isotropic, i think.
fill_method = symmetric9
C_ijkl = '3E9 1E9 3E9 3E9 3E9 6E9 1E9 1E9 9E9'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
plastic_models = wps
transverse_direction = '0 0 1'
max_NR_iterations = 100
ep_plastic_tolerance = 1E-3
debug_fspb = crash
[../]
[]
[Executioner]
end_time = 1E4
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform3
exodus = false
[./csv]
type = CSV
[../]
[]
```

#### modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform_harden3.i

```
# apply a number of "random" configurations and
# check that the algorithm returns to the yield surface
#
# must be careful here - we cannot put in arbitrary values of C_ijkl, otherwise the condition
# df/dsigma * C * flow_dirn < 0 for some stresses
# The important features that must be obeyed are:
# 0 = C_0222 = C_1222 (holds for transversely isotropic, for instance)
# C_0212 < C_0202 = C_1212 (holds for transversely isotropic)
[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
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[BCs]
[./bottomx]
type = PresetBC
variable = disp_x
boundary = back
value = 0.0
[../]
[./bottomy]
type = PresetBC
variable = disp_y
boundary = back
value = 0.0
[../]
[./bottomz]
type = PresetBC
variable = disp_z
boundary = back
value = 0.0
[../]
# the following are "random" deformations
# each is O(1E-5) to keep deformations small
[./topx]
type = FunctionPresetBC
variable = disp_x
boundary = front
function = '(sin(0.1*t)+x)/1E1'
[../]
[./topy]
type = FunctionPresetBC
variable = disp_y
boundary = front
function = '(cos(t)+x*y)/1E1'
[../]
[./topz]
type = FunctionPresetBC
variable = disp_z
boundary = front
function = 'sin(0.4321*t)*x*y*z/1E1'
[../]
[]
[AuxVariables]
[./wps_internal]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./wps_internal_auxk]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 0
variable = wps_internal
[../]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = yield_fcn
[../]
[]
[Postprocessors]
[./int]
type = PointValue
point = '0 0 0'
variable = wps_internal
outputs = 'console'
[../]
[./yield_fcn_at_zero]
type = PointValue
point = '0 0 0'
variable = yield_fcn
outputs = 'console'
[../]
[./should_be_zero]
type = FunctionValuePostprocessor
function = should_be_zero_fcn
[../]
[]
[Functions]
[./should_be_zero_fcn]
type = ParsedFunction
value = 'if(a<1E-3,0,a)'
vars = 'a'
vals = 'yield_fcn_at_zero'
[../]
[]
[UserObjects]
[./coh]
type = TensorMechanicsHardeningExponential
value_0 = 1E3
value_residual = 0
rate = 0.01
[../]
[./tanphi]
type = TensorMechanicsHardeningExponential
value_0 = 1
value_residual = 0.577350269
rate = 0.01
[../]
[./tanpsi]
type = TensorMechanicsHardeningExponential
value_0 = 0.08748866
value_residual = 0.03492077
rate = 0.01
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
smoother = 100
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-3
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
# the following is transversely isotropic, i think.
fill_method = symmetric9
C_ijkl = '3E9 1E9 3E9 3E9 3E9 6E9 1E9 1E9 9E9'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
plastic_models = wps
transverse_direction = '0 0 1'
max_NR_iterations = 1000
ep_plastic_tolerance = 1E-3
debug_fspb = crash
[../]
[]
[Executioner]
end_time = 1E4
dt = 1
type = Transient
[]
[Outputs]
file_base = large_deform_harden3
exodus = false
[./csv]
type = CSV
[../]
[]
```

#### modules/tensor_mechanics/test/tests/multi/paper3.i

```
# This runs the third example models described in the 'MultiSurface' plasticity paper
# Just change the deactivation_scheme
#
# Plasticity models:
# Mohr-Coulomb with cohesion = 40MPa, friction angle = 35deg, dilation angle = 5deg
# Tensile with strength = 1MPa
# WeakPlaneTensile with strength = 1000Pa
# WeakPlaneShear with cohesion = 0.1MPa and friction angle = 25, dilation angle = 5deg
#
# Lame lambda = 1.2GPa. Lame mu = 1.2GPa (Young = 3GPa, poisson = 0.5)
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1000
ny = 125
nz = 1
xmin = 0
xmax = 1000
ymin = 0
ymax = 125
zmin = 0
zmax = 1
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[GlobalParams]
volumetric_locking_correction=true
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[ICs]
[./x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[../]
[./y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[../]
[./z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[../]
[]
[BCs]
[./x]
type = FunctionPresetBC
variable = disp_x
boundary = 'front back'
function = '0'
[../]
[./y]
type = FunctionPresetBC
variable = disp_y
boundary = 'front back'
function = '0'
[../]
[./z]
type = FunctionPresetBC
variable = disp_z
boundary = 'front back'
function = '0'
[../]
[]
[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
[../]
[./linesearch]
order = CONSTANT
family = MONOMIAL
[../]
[./ld]
order = CONSTANT
family = MONOMIAL
[../]
[./constr_added]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
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
[../]
[./linesearch]
type = MaterialRealAux
property = plastic_linesearch_needed
variable = linesearch
[../]
[./ld]
type = MaterialRealAux
property = plastic_linear_dependence_encountered
variable = ld
[../]
[./constr_added]
type = MaterialRealAux
property = plastic_constraints_added
variable = constr_added
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./max_iter]
type = ElementExtremeValue
variable = iter
outputs = console
[../]
[./av_iter]
type = ElementAverageValue
variable = iter
outputs = 'console csv'
[../]
[./av_linesearch]
type = ElementAverageValue
variable = linesearch
outputs = 'console csv'
[../]
[./av_ld]
type = ElementAverageValue
variable = ld
outputs = 'console csv'
[../]
[./av_constr_added]
type = ElementAverageValue
variable = constr_added
outputs = 'console csv'
[../]
[]
[UserObjects]
[./mc_coh]
type = TensorMechanicsHardeningConstant
value = 4E7
[../]
[./mc_phi]
type = TensorMechanicsHardeningConstant
value = 35
convert_to_radians = true
[../]
[./mc_psi]
type = TensorMechanicsHardeningConstant
value = 5
convert_to_radians = true
[../]
[./mc]
type = TensorMechanicsPlasticMohrCoulombMulti
cohesion = mc_coh
friction_angle = mc_phi
dilation_angle = mc_psi
yield_function_tolerance = 1.0
shift = 1.0
internal_constraint_tolerance = 1.0E-7
[../]
[./mc_smooth]
type = TensorMechanicsPlasticMohrCoulomb
cohesion = mc_coh
friction_angle = mc_phi
dilation_angle = mc_psi
mc_tip_smoother = 4E6
yield_function_tolerance = 1.0
internal_constraint_tolerance = 1.0E-7
[../]
[./ts]
type = TensorMechanicsHardeningConstant
value = 1E6
[../]
[./tensile]
type = TensorMechanicsPlasticTensileMulti
tensile_strength = ts
yield_function_tolerance = 1.0
shift = 1.0
internal_constraint_tolerance = 1.0E-7
use_custom_returnMap = false
use_custom_cto = false
[../]
[./tensile_smooth]
type = TensorMechanicsPlasticTensile
tensile_strength = ts
tensile_tip_smoother = 1E5
yield_function_tolerance = 1.0
internal_constraint_tolerance = 1.0E-7
[../]
[./wpt_str]
type = TensorMechanicsHardeningConstant
value = 1.0E3
[../]
[./wpt]
type = TensorMechanicsPlasticWeakPlaneTensile
tensile_strength = wpt_str
yield_function_tolerance = 1.0
internal_constraint_tolerance = 1.0E-7
[../]
[./wps_c]
type = TensorMechanicsHardeningConstant
value = 1.0E5
[../]
[./wps_tan_phi]
type = TensorMechanicsHardeningConstant
value = 0.466
[../]
[./wps_tan_psi]
type = TensorMechanicsHardeningConstant
value = 0.087
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = wps_c
tan_friction_angle = wps_tan_phi
tan_dilation_angle = wps_tan_psi
smoother = 1.0E4
yield_function_tolerance = 1.0
internal_constraint_tolerance = 1.0E-7
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '1.2E9 1.2E9'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./multi]
type = ComputeMultiPlasticityStress
block = 0
ep_plastic_tolerance = 1E-7
plastic_models = 'tensile_smooth mc_smooth wpt wps'
max_NR_iterations = 30
specialIC = 'none'
deactivation_scheme = 'optimized'
min_stepsize = 1E-6
max_stepsize_for_dumb = 1E-2
debug_fspb = crash
debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
debug_jac_at_pm = '1 1 1 1'
debug_jac_at_intnl = '1 1 1 1'
debug_stress_change = 1E1
debug_pm_change = '1E-6 1E-6 1E-6 1E-6'
debug_intnl_change = '1E-6 1E-6 1E-6 1E-6'
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = paper3
exodus = false
csv = true
[]
```

#### modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform2.i

```
# large strain with weak-plane normal rotating with mesh
# First rotate mesh 45deg about x axis
# Then apply stretch in the y=z direction.
# This should create a pure tensile load (no shear), which
# should return to the yield surface.
#
# Since cohesion=1E6 and tan(friction_angle)=1, and
# wps_smoother = 0.5E6, the apex of the weak-plane cone is
# at normal_stress = 0.5E6. So, the result should be
# s_yy = s_yz = s_zz = 0.25E6
[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
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[BCs]
# rotate:
# ynew = c*y + s*z. znew = -s*y + c*z
[./bottomx]
type = FunctionPresetBC
variable = disp_x
boundary = back
function = '0'
[../]
[./bottomy]
type = FunctionPresetBC
variable = disp_y
boundary = back
function = '0.70710678*y+0.70710678*z-y'
[../]
[./bottomz]
type = FunctionPresetBC
variable = disp_z
boundary = back
function = '-0.70710678*y+0.70710678*z-z'
[../]
[./topx]
type = FunctionPresetBC
variable = disp_x
boundary = front
function = '0'
[../]
[./topy]
type = FunctionPresetBC
variable = disp_y
boundary = front
function = '0.70710678*y+0.70710678*z-y+if(t>0,1,0)'
[../]
[./topz]
type = FunctionPresetBC
variable = disp_z
boundary = front
function = '-0.70710678*y+0.70710678*z-z+if(t>0,1,0)'
[../]
[]
[AuxVariables]
[./stress_xx]
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_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_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]
[./coh]
type = TensorMechanicsHardeningConstant
value = 1E6
[../]
[./tanphi]
type = TensorMechanicsHardeningConstant
value = 1
[../]
[./tanpsi]
type = TensorMechanicsHardeningConstant
value = 0.111107723
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
smoother = 0.5E6
yield_function_tolerance = 1E-9
internal_constraint_tolerance = 1E-9
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E7'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
plastic_models = wps
transverse_direction = '0 0 1'
ep_plastic_tolerance = 1E-8
debug_fspb = crash
[../]
[]
[Executioner]
start_time = -1
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = large_deform2
exodus = true
[./csv]
type = CSV
[../]
[]
```

#### modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform_harden4.i

```
# apply repeated stretches to observe cohesion hardening, with cubic
[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
[]
[Variables]
[./x_disp]
[../]
[./y_disp]
[../]
[./z_disp]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'x_disp y_disp z_disp'
[../]
[]
[BCs]
[./bottomx]
type = PresetBC
variable = x_disp
boundary = back
value = 0.0
[../]
[./bottomy]
type = PresetBC
variable = y_disp
boundary = back
value = 0.0
[../]
[./bottomz]
type = PresetBC
variable = z_disp
boundary = back
value = 0.0
[../]
[./topx]
type = FunctionPresetBC
variable = x_disp
boundary = front
function = '0'
[../]
[./topy]
type = FunctionPresetBC
variable = y_disp
boundary = front
function = '0'
[../]
[./topz]
type = FunctionPresetBC
variable = z_disp
boundary = front
function = '2*t'
[../]
[]
[AuxVariables]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./wps_internal]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
[../]
[./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
[../]
[./wps_internal_auxk]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 0
variable = wps_internal
[../]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = yield_fcn
[../]
[]
[Postprocessors]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./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
[../]
[./int]
type = PointValue
point = '0 0 0'
variable = wps_internal
[../]
[]
[UserObjects]
[./coh]
type = TensorMechanicsHardeningCubic
value_0 = 1E3
value_residual = 2E3
internal_limit = 0.00007
[../]
[./tanphi]
type = TensorMechanicsHardeningConstant
value = 1
[../]
[./tanpsi]
type = TensorMechanicsHardeningConstant
value = 0.01745506
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
smoother = 500
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-3
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '1E9 0.5E9'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'x_disp y_disp z_disp'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
plastic_models = wps
transverse_direction = '0 0 1'
ep_plastic_tolerance = 1E-3
debug_fspb = crash
[../]
[]
[Executioner]
end_time = 1E-6
dt = 1E-7
type = Transient
[]
[Outputs]
file_base = small_deform_harden4
exodus = true
[./csv]
type = CSV
[../]
[]
```

#### modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform3.i

```
# apply a number of "random" configurations and
# check that the algorithm returns to the yield surface
#
# must be careful here - we cannot put in arbitrary values of C_ijkl, otherwise the condition
# df/dsigma * C * flow_dirn < 0 for some stresses
# The important features that must be obeyed are:
# 0 = C_0222 = C_1222 (holds for transversely isotropic, for instance)
# C_0212 < C_0202 = C_1212 (holds for transversely isotropic)
[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
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[BCs]
[./bottomx]
type = PresetBC
variable = disp_x
boundary = back
value = 0.0
[../]
[./bottomy]
type = PresetBC
variable = disp_y
boundary = back
value = 0.0
[../]
[./bottomz]
type = PresetBC
variable = disp_z
boundary = back
value = 0.0
[../]
# the following are "random" deformations
# each is O(1E-1) to provide large deformations
[./topx]
type = FunctionPresetBC
variable = disp_x
boundary = front
function = '(sin(0.1*t)+x)/1E1'
[../]
[./topy]
type = FunctionPresetBC
variable = disp_y
boundary = front
function = '(cos(t)+x*y)/1E1'
[../]
[./topz]
type = FunctionPresetBC
variable = disp_z
boundary = front
function = 'sin(0.4321*t)*x*y*z/1E1'
[../]
[]
[AuxVariables]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = yield_fcn
[../]
[]
[Postprocessors]
[./yield_fcn_at_zero]
type = PointValue
point = '0 0 0'
variable = yield_fcn
outputs = 'console'
[../]
[./should_be_zero]
type = FunctionValuePostprocessor
function = should_be_zero_fcn
[../]
[]
[Functions]
[./should_be_zero_fcn]
type = ParsedFunction
value = 'if(a<1E-3,0,a)'
vars = 'a'
vals = 'yield_fcn_at_zero'
[../]
[]
[UserObjects]
[./coh]
type = TensorMechanicsHardeningConstant
value = 1E3
[../]
[./tanphi]
type = TensorMechanicsHardeningConstant
value = 0.577350269
[../]
[./tanpsi]
type = TensorMechanicsHardeningConstant
value = 0.08748866
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
smoother = 100
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-3
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
# the following is transversely isotropic, i think.
fill_method = symmetric9
C_ijkl = '3E9 1E9 3E9 3E9 3E9 6E9 1E9 1E9 9E9'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
plastic_models = wps
transverse_direction = '0 0 1'
max_NR_iterations = 100
ep_plastic_tolerance = 1E-3
debug_fspb = crash
[../]
[]
[Executioner]
end_time = 1E4
dt = 1
type = Transient
[]
[Outputs]
file_base = large_deform3
exodus = false
[./csv]
type = CSV
[../]
[]
```

#### modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform_harden2.i

```
# apply a pure tension, then some shear with compression
# the BCs are designed to map out the yield function, showing
# the affect of the hardening
[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
[]
[Variables]
[./x_disp]
[../]
[./y_disp]
[../]
[./z_disp]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'x_disp y_disp z_disp'
[../]
[]
[BCs]
[./bottomx]
type = PresetBC
variable = x_disp
boundary = back
value = 0.0
[../]
[./bottomy]
type = PresetBC
variable = y_disp
boundary = back
value = 0.0
[../]
[./bottomz]
type = PresetBC
variable = z_disp
boundary = back
value = 0.0
[../]
[./topx]
type = FunctionPresetBC
variable = x_disp
boundary = front
function = 'if(t<1E-6,0,3*t)'
[../]
[./topy]
type = FunctionPresetBC
variable = y_disp
boundary = front
function = 'if(t<1E-6,0,5*(t-0.01E-6))'
[../]
[./topz]
type = FunctionPresetBC
variable = z_disp
boundary = front
function = 'if(t<1E-6,t,2E-6-t)'
[../]
[]
[AuxVariables]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./wps_internal]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
[../]
[./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
[../]
[./wps_internal_auxk]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 0
variable = wps_internal
[../]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = yield_fcn
[../]
[]
[Postprocessors]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./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
[../]
[./int]
type = PointValue
point = '0 0 0'
variable = wps_internal
[../]
[]
[UserObjects]
[./coh]
type = TensorMechanicsHardeningGaussian
value_0 = 1E3
value_residual = 700
rate = 2E16
[../]
[./tanphi]
type = TensorMechanicsHardeningGaussian
value_0 = 1
value_residual = 0.577350269
rate = 2E16
[../]
[./tanpsi]
type = TensorMechanicsHardeningGaussian
value_0 = 0.0874886635
value_residual = 0.01745506
rate = 2E16
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
smoother = 500
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-3
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '1E9 0.5E9'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'x_disp y_disp z_disp'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
plastic_models = wps
transverse_direction = '0 0 1'
ep_plastic_tolerance = 1E-3
max_NR_iterations = 100
min_stepsize = 1
debug_fspb = crash
[../]
[]
[Executioner]
end_time = 2E-6
dt = 1E-7
type = Transient
[]
[Outputs]
file_base = small_deform_harden2
exodus = true
[./csv]
type = CSV
[../]
[]
```

#### modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform4.i

```
# apply a pure tension, then some shear
# the BCs are designed to map out the yield function, showing
# the affect of 'cap' smoothing
[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
[]
[Variables]
[./x_disp]
[../]
[./y_disp]
[../]
[./z_disp]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'x_disp y_disp z_disp'
[../]
[]
[BCs]
[./bottomx]
type = PresetBC
variable = x_disp
boundary = back
value = 0.0
[../]
[./bottomy]
type = PresetBC
variable = y_disp
boundary = back
value = 0.0
[../]
[./bottomz]
type = PresetBC
variable = z_disp
boundary = back
value = 0.0
[../]
[./topx]
type = FunctionPresetBC
variable = x_disp
boundary = front
function = 'if(t<1E-6,0,3*(t-1E-6)*(t-1E-6)*1E6)'
[../]
[./topy]
type = FunctionPresetBC
variable = y_disp
boundary = front
function = 'if(t<1E-6,0,5*(t-1E-6)*(t-1E-6)*1E6)'
[../]
[./topz]
type = FunctionPresetBC
variable = z_disp
boundary = front
function = 'if(t<1E-6,t,1E-6)'
[../]
[]
[AuxVariables]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
[../]
[./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
[../]
[./iter_auxk]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./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
[../]
[./iter]
type = PointValue
point = '0 0 0'
variable = iter
[../]
[]
[UserObjects]
[./coh]
type = TensorMechanicsHardeningConstant
value = 1E3
[../]
[./tanphi]
type = TensorMechanicsHardeningConstant
value = 1
[../]
[./tanpsi]
type = TensorMechanicsHardeningConstant
value = 0.08748866
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
tip_scheme = cap
smoother = 0
cap_rate = 0.001
cap_start = -1000.0
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-6
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '1E9 0.5E9'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'x_disp y_disp z_disp'
[../]
[./mc]
type = ComputeMultiPlasticityStress
ep_plastic_tolerance = 1E-4
block = 0
plastic_models = wps
transverse_direction = '0 0 1'
debug_fspb = crash
debug_jac_at_stress = '1E4 2E4 3E4 2E4 -4E4 5E4 3E4 5E4 6E8'
debug_jac_at_pm = 1
debug_jac_at_intnl = 1
debug_stress_change = 1E-3
debug_pm_change = 1E-5
debug_intnl_change = 1E-5
[../]
[]
[Executioner]
end_time = 2E-6
dt = 1E-7
type = Transient
[]
[Outputs]
file_base = small_deform4
exodus = true
[./csv]
type = CSV
[../]
[]
```

#### modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform_harden3.i

```
# apply repeated stretches to observe cohesion hardening
[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
[]
[Variables]
[./x_disp]
[../]
[./y_disp]
[../]
[./z_disp]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'x_disp y_disp z_disp'
[../]
[]
[BCs]
[./bottomx]
type = PresetBC
variable = x_disp
boundary = back
value = 0.0
[../]
[./bottomy]
type = PresetBC
variable = y_disp
boundary = back
value = 0.0
[../]
[./bottomz]
type = PresetBC
variable = z_disp
boundary = back
value = 0.0
[../]
[./topx]
type = FunctionPresetBC
variable = x_disp
boundary = front
function = '0'
[../]
[./topy]
type = FunctionPresetBC
variable = y_disp
boundary = front
function = '0'
[../]
[./topz]
type = FunctionPresetBC
variable = z_disp
boundary = front
function = '2*t'
[../]
[]
[AuxVariables]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./wps_internal]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
[../]
[./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
[../]
[./wps_internal_auxk]
type = MaterialStdVectorAux
property = plastic_internal_parameter
index = 0
variable = wps_internal
[../]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = yield_fcn
[../]
[]
[Postprocessors]
[./s_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./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
[../]
[./int]
type = PointValue
point = '0 0 0'
variable = wps_internal
[../]
[]
[UserObjects]
[./coh]
type = TensorMechanicsHardeningExponential
value_0 = 1E3
value_residual = 2E3
rate = 0
[../]
[./tanphi]
type = TensorMechanicsHardeningExponential
value_0 = 1
value_residual = 0.577350269
rate = 4E4
[../]
[./tanpsi]
type = TensorMechanicsHardeningExponential
value_0 = 0.01745506
value_residual = 0.01745506
rate = 1E8
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
smoother = 500
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-3
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '1E9 0.5E9'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'x_disp y_disp z_disp'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
plastic_models = wps
transverse_direction = '0 0 1'
ep_plastic_tolerance = 1E-3
debug_fspb = crash
[../]
[]
[Executioner]
end_time = 1E-6
dt = 1E-7
type = Transient
[]
[Outputs]
file_base = small_deform_harden3
exodus = true
[./csv]
type = CSV
[../]
[]
```

#### modules/tensor_mechanics/test/tests/weak_plane_shear/except1.i

```
# checking for exception error messages
[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
[]
[Variables]
[./x_disp]
[../]
[./y_disp]
[../]
[./z_disp]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[BCs]
[./bottomx]
type = PresetBC
variable = x_disp
boundary = back
value = 0.0
[../]
[./bottomy]
type = PresetBC
variable = y_disp
boundary = back
value = 0.0
[../]
[./bottomz]
type = PresetBC
variable = z_disp
boundary = back
value = 0.0
[../]
[./topx]
type = PresetBC
variable = x_disp
boundary = front
value = 8E-6
[../]
[./topy]
type = PresetBC
variable = y_disp
boundary = front
value = 6E-6
[../]
[./topz]
type = PresetBC
variable = z_disp
boundary = front
value = 1E-6
[../]
[]
[AuxVariables]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
[../]
[./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_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./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]
[./coh]
type = TensorMechanicsHardeningConstant
value = 1
[../]
[./tanphi]
type = TensorMechanicsHardeningConstant
value = 0.5
[../]
[./tanpsi]
type = TensorMechanicsHardeningConstant
value = 0.55
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
smoother = 0
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-3
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E6'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
plastic_models = wps
transverse_direction = '0 0 1'
ep_plastic_tolerance = 1E-3
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = except
exodus = true
[./csv]
type = CSV
[../]
[]
```

#### modules/tensor_mechanics/test/tests/multi/special_joint1.i

```
# Plasticity models:
# WeakPlaneTensile with strength = 1000Pa
# WeakPlaneShear with cohesion = 0.1MPa and friction angle = 25
#
# Lame lambda = 1GPa. Lame mu = 1.3GPa
#
# A line of elements is perturbed randomly, and return to the yield surface at each quadpoint is checked
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1000
ny = 125
nz = 1
xmin = 0
xmax = 1000
ymin = 0
ymax = 125
zmin = 0
zmax = 1
[]
[GlobalParams]
volumetric_locking_correction=true
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[ICs]
[./x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[../]
[./y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[../]
[./z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[../]
[]
[BCs]
[./x]
type = FunctionPresetBC
variable = disp_x
boundary = 'front back'
function = '0'
[../]
[./y]
type = FunctionPresetBC
variable = disp_y
boundary = 'front back'
function = '0'
[../]
[./z]
type = FunctionPresetBC
variable = disp_z
boundary = 'front back'
function = '0'
[../]
[]
[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
[../]
[./linesearch]
order = CONSTANT
family = MONOMIAL
[../]
[./ld]
order = CONSTANT
family = MONOMIAL
[../]
[./constr_added]
order = CONSTANT
family = MONOMIAL
[../]
[./iter]
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
[../]
[./linesearch]
type = MaterialRealAux
property = plastic_linesearch_needed
variable = linesearch
[../]
[./ld]
type = MaterialRealAux
property = plastic_linear_dependence_encountered
variable = ld
[../]
[./constr_added]
type = MaterialRealAux
property = plastic_constraints_added
variable = constr_added
[../]
[./iter]
type = MaterialRealAux
property = plastic_NR_iterations
variable = iter
[../]
[]
[Postprocessors]
[./max_iter]
type = ElementExtremeValue
variable = iter
outputs = console
[../]
[./av_linesearch]
type = ElementAverageValue
variable = linesearch
outputs = 'console csv'
[../]
[./av_ld]
type = ElementAverageValue
variable = ld
outputs = 'console csv'
[../]
[./av_constr_added]
type = ElementAverageValue
variable = constr_added
outputs = 'console csv'
[../]
[./av_iter]
type = ElementAverageValue
variable = iter
outputs = 'console csv'
[../]
[]
[UserObjects]
[./wpt_str]
type = TensorMechanicsHardeningConstant
value = 1000
[../]
[./wpt]
type = TensorMechanicsPlasticWeakPlaneTensile
tensile_strength = wpt_str
yield_function_tolerance = 1.0
internal_constraint_tolerance = 1.0E-7
[../]
[./wps_c]
type = TensorMechanicsHardeningConstant
value = 1.0E5
[../]
[./wps_tan_phi]
type = TensorMechanicsHardeningConstant
value = 0.466
[../]
[./wps_tan_psi]
type = TensorMechanicsHardeningConstant
value = 0.087
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = wps_c
tan_friction_angle = wps_tan_phi
tan_dilation_angle = wps_tan_psi
smoother = 0
yield_function_tolerance = 1.0
internal_constraint_tolerance = 1.0E-7
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '1.0E9 1.3E9'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./multi]
type = ComputeMultiPlasticityStress
block = 0
ep_plastic_tolerance = 1E-7
plastic_models = 'wpt wps'
max_NR_iterations = 5
specialIC = 'joint'
deactivation_scheme = 'safe'
min_stepsize = 1
max_stepsize_for_dumb = 1
debug_fspb = crash
debug_jac_at_stress = '10 0 0 0 10 0 0 0 10'
debug_jac_at_pm = '1 1 1 1'
debug_jac_at_intnl = '1 1 1 1'
debug_stress_change = 1E1
debug_pm_change = '1E-6 1E-6 1E-6 1E-6'
debug_intnl_change = '1E-6 1E-6 1E-6 1E-6'
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = special_joint1
exodus = false
csv = true
[]
```

#### modules/tensor_mechanics/test/tests/weak_plane_shear/small_deform1.i

```
# deformations are applied so that the trial stress is
# shear = 10, normalstress = 2
#
# Cohesion is chosen to be 1, and friction angle = 26.565, so tan(friction_angle) = 1/2
# This means that (shear, normalstress) = (0, 2) is the apex
# of the shear envelope
#
# Poisson's ratio is chosen to be zero, and Lame mu = 1E6,
# so the return must solve
# f = 0
# shear = shear_trial - (1/2)*mu*ga = 10 - 0.5E6*ga
# normalstress = normalstress - mu*tan(dilation)*ga
#
# Finally, tan(dilation) = 2/18 is chosen.
#
# Then the returned value should have
# shear = 1, normalstress = 0
#
# Here shear = sqrt(s_yz^2 + s_xz^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
[]
[Variables]
[./x_disp]
[../]
[./y_disp]
[../]
[./z_disp]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'x_disp y_disp z_disp'
[../]
[]
[BCs]
[./bottomx]
type = PresetBC
variable = x_disp
boundary = back
value = 0.0
[../]
[./bottomy]
type = PresetBC
variable = y_disp
boundary = back
value = 0.0
[../]
[./bottomz]
type = PresetBC
variable = z_disp
boundary = back
value = 0.0
[../]
[./topx]
type = PresetBC
variable = x_disp
boundary = front
value = 8E-6
[../]
[./topy]
type = PresetBC
variable = y_disp
boundary = front
value = 6E-6
[../]
[./topz]
type = PresetBC
variable = z_disp
boundary = front
value = 1E-6
[../]
[]
[AuxVariables]
[./stress_xz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zx]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_yz]
order = CONSTANT
family = MONOMIAL
[../]
[./stress_zz]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[../]
[./stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
[../]
[./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_xz]
type = PointValue
point = '0 0 0'
variable = stress_xz
[../]
[./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]
[./coh]
type = TensorMechanicsHardeningConstant
value = 1
[../]
[./tanphi]
type = TensorMechanicsHardeningConstant
value = 0.5
[../]
[./tanpsi]
type = TensorMechanicsHardeningConstant
value = 0.1111077
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
smoother = 0
yield_function_tolerance = 1E-6
internal_constraint_tolerance = 1E-6
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
fill_method = symmetric_isotropic
C_ijkl = '0 1E6'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'x_disp y_disp z_disp'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
plastic_models = wps
transverse_direction = '0 0 1'
ep_plastic_tolerance = 1E-5
debug_fspb = crash
[../]
[]
[Executioner]
end_time = 1
dt = 1
type = Transient
[]
[Outputs]
file_base = small_deform1
exodus = true
[./csv]
type = CSV
[../]
[]
```

#### modules/tensor_mechanics/test/tests/weak_plane_shear/large_deform4.i

```
# apply a number of "random" configurations and
# check that the algorithm returns to the yield surface
# using the 'cap' tip_scheme
#
# must be careful here - we cannot put in arbitrary values of C_ijkl, otherwise the condition
# df/dsigma * C * flow_dirn < 0 for some stresses
# The important features that must be obeyed are:
# 0 = C_0222 = C_1222 (holds for transversely isotropic, for instance)
# C_0212 < C_0202 = C_1212 (holds for transversely isotropic)
[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
[]
[Variables]
[./disp_x]
[../]
[./disp_y]
[../]
[./disp_z]
[../]
[]
[Kernels]
[./TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[../]
[]
[BCs]
[./bottomx]
type = PresetBC
variable = disp_x
boundary = back
value = 0.0
[../]
[./bottomy]
type = PresetBC
variable = disp_y
boundary = back
value = 0.0
[../]
[./bottomz]
type = PresetBC
variable = disp_z
boundary = back
value = 0.0
[../]
# the following are "random" deformations
# each is O(1E-1) to provide large deformations
[./topx]
type = FunctionPresetBC
variable = disp_x
boundary = front
function = '(sin(0.1*t)+x)/1E1'
[../]
[./topy]
type = FunctionPresetBC
variable = disp_y
boundary = front
function = '(cos(t)+x*y)/1E1'
[../]
[./topz]
type = FunctionPresetBC
variable = disp_z
boundary = front
function = 'sin(0.4321*t)*x*y*z/1E1'
[../]
[]
[AuxVariables]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
property = plastic_yield_function
index = 0
variable = yield_fcn
[../]
[]
[Postprocessors]
[./yield_fcn_at_zero]
type = PointValue
point = '0 0 0'
variable = yield_fcn
outputs = 'console'
[../]
[./should_be_zero]
type = FunctionValuePostprocessor
function = should_be_zero_fcn
[../]
[]
[Functions]
[./should_be_zero_fcn]
type = ParsedFunction
value = 'if(a<1E-3,0,a)'
vars = 'a'
vals = 'yield_fcn_at_zero'
[../]
[]
[UserObjects]
[./coh]
type = TensorMechanicsHardeningConstant
value = 1E3
[../]
[./tanphi]
type = TensorMechanicsHardeningConstant
value = 0.577350269
[../]
[./tanpsi]
type = TensorMechanicsHardeningConstant
value = 0.08748866
[../]
[./wps]
type = TensorMechanicsPlasticWeakPlaneShear
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
tip_scheme = cap
smoother = 100
cap_rate = 0.001
cap_start = 0.0
yield_function_tolerance = 1E-3
internal_constraint_tolerance = 1E-3
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeElasticityTensor
block = 0
# the following is transversely isotropic, i think.
fill_method = symmetric9
C_ijkl = '3E9 1E9 3E9 3E9 3E9 6E9 1E9 1E9 9E9'
[../]
[./strain]
type = ComputeFiniteStrain
block = 0
displacements = 'disp_x disp_y disp_z'
[../]
[./mc]
type = ComputeMultiPlasticityStress
block = 0
plastic_models = wps
transverse_direction = '0 0 1'
max_NR_iterations = 100
ep_plastic_tolerance = 1E-3
debug_fspb = crash
[../]
[]
[Executioner]
end_time = 1E4
dt = 1
type = Transient
[]
[Outputs]
file_base = large_deform4
exodus = false
[./csv]
type = CSV
[../]
[]
```