ComputeGrainForceAndTorque

construction:Undocumented Class

The ComputeGrainForceAndTorque has not been documented. The content listed below should be used as a starting point for documenting the class, which includes the typical automatic documentation associated with a MooseObject; however, what is contained is ultimately determined by what is necessary to make the documentation clear for users.

Userobject for calculating force and torque acting on a grain

Overview

Example Input File Syntax

Input Parameters

blockThe list of block ids (SubdomainID) that this object will be applied
C++ Type:std::vector<SubdomainName>
Options:
Description:The list of block ids (SubdomainID) that this object will be applied
cConcentration field
C++ Type:std::vector<VariableName>
Options:
Description:Concentration field
etasArray of coupled order parameters
C++ Type:std::vector<VariableName>
Options:
Description:Array of coupled order 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.
force_densityforce_densityForce density material
Default:force_density
C++ Type:MaterialPropertyName
Options:
Description:Force density material
grain_datacenter of mass of grains
C++ Type:UserObjectName
Options:
Description:center of mass of grains

Optional Parameters

allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
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).
compute_jacobiansTrueCompute Jacobians for coupled variables
Default:True
C++ Type:bool
Options:
Description:Compute Jacobians for coupled variables
control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
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.
implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Options:
Description:Determines whether this object is calculated using an implicit or explicit form
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Options:
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
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/phase_field/test/tests/rigidbodymotion/grain_forcesum.i)
(modules/phase_field/test/tests/rigidbodymotion/polycrystal_action.i)
(modules/phase_field/test/tests/rigidbodymotion/grain_forcedensity.i)
(modules/phase_field/test/tests/rigidbodymotion/grain_motion_fauxGT.i)

(modules/phase_field/test/tests/rigidbodymotion/grain_forcesum.i)

# test file for showing summing forces and torques obtained from other userobjects
[GlobalParams]
  var_name_base = eta
  op_num = 2
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 5
  ny = 3
  nz = 0
  xmax = 50
  ymax = 25
  zmax = 0
  elem_type = QUAD4
[]

[Variables]
  [./c]
    order = FIRST
    family = LAGRANGE
    [./InitialCondition]
      type = SpecifiedSmoothCircleIC
      invalue = 1.0
      outvalue = 0.1
      int_width = 6.0
      x_positions = '20.0 30.0 '
      z_positions = '0.0 0.0 '
      y_positions = '0.0 25.0 '
      radii = '14.0 14.0'
      3D_spheres = false
      variable = c
    [../]
  [../]
  [./w]
    order = FIRST
    family = LAGRANGE
  [../]
[]

[Kernels]
  [./c_res]
    type = SplitCHParsed
    variable = c
    f_name = F
    kappa_name = kappa_c
    w = w
  [../]
  [./w_res]
    type = SplitCHWRes
    variable = w
    mob_name = M
  [../]
  [./time]
    type = CoupledTimeDerivative
    variable = w
    v = c
  [../]
[]

[Materials]
  [./pfmobility]
    type = GenericConstantMaterial
    prop_names = 'M    kappa_c  kappa_eta'
    prop_values = '5.0  2.0      0.1'
  [../]
  [./free_energy]
    type = DerivativeParsedMaterial
    f_name = F
    args = c
    constant_names = 'barr_height  cv_eq'
    constant_expressions = '0.1          1.0e-2'
    function = 16*barr_height*(c-cv_eq)^2*(1-cv_eq-c)^2
    derivative_order = 2
  [../]
  [./force_density]
    type = ForceDensityMaterial
    c = c
    etas ='eta0 eta1'
  [../]
[]

[AuxVariables]
  [./eta0]
  [../]
  [./eta1]
  [../]
  [./bnds]
  [../]
  [./df00]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./df01]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./df10]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./df11]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[ICs]
  [./ic_eta0]
    int_width = 6.0
    x1 = 20.0
    y1 = 0.0
    radius = 14.0
    outvalue = 0.0
    variable = eta0
    invalue = 1.0
    type = SmoothCircleIC
  [../]
  [./IC_eta1]
    int_width = 6.0
    x1 = 30.0
    y1 = 25.0
    radius = 14.0
    outvalue = 0.0
    variable = eta1
    invalue = 1.0
    type = SmoothCircleIC
  [../]
[]

[VectorPostprocessors]
  [./forces_dns]
    type = GrainForcesPostprocessor
    grain_force = grain_force_dns
  [../]
  [./forces_cosnt]
    type = GrainForcesPostprocessor
    grain_force = grain_force_const
  [../]
  [./forces_total]
    type = GrainForcesPostprocessor
    grain_force = grain_force
  [../]
[]

[UserObjects]
  [./grain_center]
    type = GrainTracker
    outputs = none
    compute_var_to_feature_map = true
    execute_on = 'initial timestep_begin'
  [../]
  [./grain_force_dns]
    type = ComputeGrainForceAndTorque
    c = c
    etas = 'eta0 eta1'
    execute_on = 'linear nonlinear'
    grain_data = grain_center
    force_density = force_density
  [../]
  [./grain_force_const]
    type = ConstantGrainForceAndTorque
    execute_on = 'linear nonlinear'
    force =  '2.0 0.0 0.0 0.0 0.0 0.0'
    torque = '0.0 0.0 0.0 0.0 0.0 0.0'
  [../]
  [./grain_force]
    type = GrainForceAndTorqueSum
    execute_on = 'linear nonlinear'
    grain_forces = 'grain_force_dns grain_force_const'
    grain_num = 2
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  scheme = bdf2
  solve_type = NEWTON
  petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm         31   preonly   lu      1'
  l_max_its = 20
  nl_max_its = 20
  l_tol = 1.0e-4
  nl_rel_tol = 1.0e-10
  start_time = 0.0
  num_steps = 2
  dt = 0.1
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/phase_field/test/tests/rigidbodymotion/polycrystal_action.i)

# test file for showing reaction forces between particles
[GlobalParams]
  var_name_base = eta
  op_num = 2
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 5
  nz = 0
  xmax = 50
  ymax = 25
  zmax = 0
  elem_type = QUAD4
  uniform_refine = 1
[]

[Variables]
  [./c]
    order = FIRST
    family = LAGRANGE
  [../]
  [./w]
    order = FIRST
    family = LAGRANGE
  [../]
  [./PolycrystalVariables]
  [../]
[]

[Kernels]
  [./c_res]
    type = SplitCHParsed
    variable = c
    f_name = F
    kappa_name = kappa_c
    args = 'eta0 eta1'
    w = w
  [../]
  [./w_res]
    type = SplitCHWRes
    variable = w
    mob_name = M
  [../]
  [./time]
    type = CoupledTimeDerivative
    variable = w
    v = c
  [../]
  [./motion]
    type = MultiGrainRigidBodyMotion
    variable = w
    c = c
    v = 'eta0 eta1'
    grain_force = grain_force
    grain_tracker_object = grain_center
    grain_volumes = grain_volumes
  [../]
  [./RigidBodyMultiKernel]
    # Creates all of the necessary Allen Cahn kernels automatically
    c = c
    f_name = F
    mob_name = M
    kappa_name = kappa_eta
    grain_force = grain_force
    grain_tracker_object = grain_center
    grain_volumes = grain_volumes
  [../]
[]

[Materials]
  [./pfmobility]
    type = GenericConstantMaterial
    prop_names = 'M    kappa_c  kappa_eta'
    prop_values = '1.0  0.5      0.5'
  [../]
  [./free_energy]
    type = DerivativeParsedMaterial
    f_name = F
    args = 'c eta0 eta1'
    constant_names = 'barr_height  cv_eq'
    constant_expressions = '0.1          1.0e-2'
    function = 16*barr_height*(c-cv_eq)^2*(1-cv_eq-c)^2+eta0*(1-eta0)*c+eta1*(1-eta1)*c
    derivative_order = 2
  [../]
  [./force_density]
    type = ForceDensityMaterial
    c = c
    etas ='eta0 eta1'
  [../]
[]

[AuxVariables]
  [./bnds]
  [../]
  [./MultiAuxVariables]
    order = CONSTANT
    family = MONOMIAL
    variable_base = 'df'
    data_type = 'RealGradient'
    grain_num = 2
  [../]
  [./vadvx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./vadvy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./unique_grains]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./var_indices]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./centroids]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./bnds]
    type = BndsCalcAux
    variable = bnds
    var_name_base = eta
    op_num = 2
    v = 'eta0 eta1'
  [../]
  [./MaterialVectorGradAuxKernel]
    variable_base = 'df'
    grain_num = 2
    property = 'force_density'
  [../]
  [./vadv_x]
    type = GrainAdvectionAux
    component = x
    grain_tracker_object = grain_center
    grain_force = grain_force
    grain_volumes = grain_volumes
    variable = vadvx
  [../]
  [./vadv_y]
    type = GrainAdvectionAux
    component = y
    grain_tracker_object = grain_center
    grain_force = grain_force
    grain_volumes = grain_volumes
    variable = vadvy
  [../]
  [./unique_grains]
    type = FeatureFloodCountAux
    variable = unique_grains
    flood_counter = grain_center
    field_display = UNIQUE_REGION
    execute_on = timestep_begin
  [../]
  [./var_indices]
    type = FeatureFloodCountAux
    variable = var_indices
    flood_counter = grain_center
    field_display = VARIABLE_COLORING
    execute_on = timestep_begin
  [../]
  [./centroids]
    type = FeatureFloodCountAux
    variable = centroids
    execute_on = timestep_begin
    field_display = CENTROID
    flood_counter = grain_center
  [../]
[]

[ICs]
  [./ic_eta0]
    int_width = 1.0
    x1 = 20.0
    y1 = 0.0
    radius = 14.0
    outvalue = 0.0
    variable = eta0
    invalue = 1.0
    type = SmoothCircleIC
  [../]
  [./IC_eta1]
    int_width = 1.0
    x1 = 30.0
    y1 = 25.0
    radius = 14.0
    outvalue = 0.0
    variable = eta1
    invalue = 1.0
    type = SmoothCircleIC
  [../]
  [./ic_c]
    type = SpecifiedSmoothCircleIC
    invalue = 1.0
    outvalue = 0.1
    int_width = 1.0
    x_positions = '20.0 30.0 '
    z_positions = '0.0 0.0 '
    y_positions = '0.0 25.0 '
    radii = '14.0 14.0'
    3D_spheres = false
    variable = c
    block = 0
  [../]
[]

[VectorPostprocessors]
  [./forces]
    type = GrainForcesPostprocessor
    grain_force = grain_force
  [../]
  [./grain_volumes]
    type = FeatureVolumeVectorPostprocessor
    flood_counter = grain_center
    execute_on = 'initial timestep_begin'
  [../]
[]

[UserObjects]
  [./grain_center]
    type = GrainTracker
    outputs = none
    compute_var_to_feature_map = true
    execute_on = 'initial timestep_begin'
  [../]
  [./grain_force]
    type = ComputeGrainForceAndTorque
    execute_on = 'initial linear nonlinear'
    grain_data = grain_center
    force_density = force_density
    c = c
    etas = 'eta0 eta1'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  scheme = bdf2
  solve_type = NEWTON
  petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm         31   preonly   lu      1'
  l_max_its = 30
  l_tol = 1.0e-4
  nl_rel_tol = 1.0e-10
  start_time = 0.0
  num_steps = 1
  dt = 0.1
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/phase_field/test/tests/rigidbodymotion/grain_forcedensity.i)

# test file for showing reaction forces between particles
[GlobalParams]
  var_name_base = eta
  op_num = 2
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 5
  nz = 0
  xmax = 50
  ymax = 25
  zmax = 0
  elem_type = QUAD4
  uniform_refine = 1
[]

[Variables]
  [./c]
    order = FIRST
    family = LAGRANGE
  [../]
  [./w]
    order = FIRST
    family = LAGRANGE
  [../]
  [./eta0]
  [../]
  [./eta1]
  [../]
[]

[Kernels]
  [./c_res]
    type = SplitCHParsed
    variable = c
    f_name = F
    kappa_name = kappa_c
    args = 'eta0 eta1'
    w = w
  [../]
  [./w_res]
    type = SplitCHWRes
    variable = w
    mob_name = M
  [../]
  [./time]
    type = CoupledTimeDerivative
    variable = w
    v = c
  [../]
  [./motion]
    type = MultiGrainRigidBodyMotion
    variable = w
    c = c
    v = 'eta0 eta1'
    grain_force = grain_force
    grain_tracker_object = grain_center
    grain_volumes = grain_volumes
  [../]
  [./eta0_dot]
    type = TimeDerivative
    variable = eta0
  [../]
  [./vadv_eta]
    type = SingleGrainRigidBodyMotion
    variable = eta0
    c = c
    v = 'eta0 eta1'
    grain_force = grain_force
    grain_tracker_object = grain_center
    grain_volumes = grain_volumes
    op_index = 0
  [../]
  [./acint_eta0]
    type = ACInterface
    variable = eta0
    mob_name = M
    #args = c
    kappa_name = kappa_eta
  [../]
  [./acbulk_eta0]
    type = AllenCahn
    variable = eta0
    mob_name = M
    f_name = F
    args = 'c eta1'
  [../]
  [./eta1_dot]
    type = TimeDerivative
    variable = eta1
  [../]
  [./vadv_eta1]
    type = SingleGrainRigidBodyMotion
    variable = eta1
    c = c
    v = 'eta0 eta1'
    op_index = 1
    grain_force = grain_force
    grain_tracker_object = grain_center
    grain_volumes = grain_volumes
  [../]
  [./acint_eta1]
    type = ACInterface
    variable = eta1
    mob_name = M
    #args = c
    kappa_name = kappa_eta
  [../]
  [./acbulk_eta1]
    type = AllenCahn
    variable = eta1
    mob_name = M
    f_name = F
    args = 'c eta0'
  [../]
[]

[Materials]
  [./pfmobility]
    type = GenericConstantMaterial
    prop_names = 'M    kappa_c  kappa_eta'
    prop_values = '1.0  0.5      0.5'
  [../]
  [./free_energy]
    type = DerivativeParsedMaterial
    f_name = F
    args = 'c eta0 eta1'
    constant_names = 'barr_height  cv_eq'
    constant_expressions = '0.1          1.0e-2'
    function = 16*barr_height*(c-cv_eq)^2*(1-cv_eq-c)^2+eta0*(1-eta0)*c+eta1*(1-eta1)*c
    derivative_order = 2
  [../]
  [./force_density]
    type = ForceDensityMaterial
    c = c
    etas ='eta0 eta1'
  [../]
[]

[AuxVariables]
  [./bnds]
  [../]
  [./df00]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./df01]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./df10]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./df11]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./unique_grains]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./var_indices]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./centroids]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./bnds]
    type = BndsCalcAux
    variable = bnds
    var_name_base = eta
    op_num = 2
    v = 'eta0 eta1'
  [../]
  [./df01]
    type = MaterialStdVectorRealGradientAux
    variable = df01
    index = 0
    component = 1
    property = force_density
  [../]
  [./df11]
    type = MaterialStdVectorRealGradientAux
    variable = df11
    index = 1
    component = 1
    property = force_density
  [../]
  [./df00]
    type = MaterialStdVectorRealGradientAux
    variable = df00
    index = 0
    component = 0
    property = force_density
  [../]
  [./df10]
    type = MaterialStdVectorRealGradientAux
    variable = df10
    index = 1
    component = 0
    property = force_density
  [../]
  [./unique_grains]
    type = FeatureFloodCountAux
    variable = unique_grains
    flood_counter = grain_center
    field_display = UNIQUE_REGION
    execute_on = timestep_begin
  [../]
  [./var_indices]
    type = FeatureFloodCountAux
    variable = var_indices
    flood_counter = grain_center
    field_display = VARIABLE_COLORING
    execute_on = timestep_begin
  [../]
  [./centroids]
    type = FeatureFloodCountAux
    variable = centroids
    execute_on = timestep_begin
    field_display = CENTROID
    flood_counter = grain_center
  [../]
[]

[ICs]
  [./ic_eta0]
    int_width = 1.0
    x1 = 20.0
    y1 = 0.0
    radius = 14.0
    outvalue = 0.0
    variable = eta0
    invalue = 1.0
    type = SmoothCircleIC
  [../]
  [./IC_eta1]
    int_width = 1.0
    x1 = 30.0
    y1 = 25.0
    radius = 14.0
    outvalue = 0.0
    variable = eta1
    invalue = 1.0
    type = SmoothCircleIC
  [../]
  [./ic_c]
    type = SpecifiedSmoothCircleIC
    invalue = 1.0
    outvalue = 0.1
    int_width = 1.0
    x_positions = '20.0 30.0 '
    z_positions = '0.0 0.0 '
    y_positions = '0.0 25.0 '
    radii = '14.0 14.0'
    3D_spheres = false
    variable = c
    block = 0
  [../]
[]

[VectorPostprocessors]
  [./forces]
    type = GrainForcesPostprocessor
    grain_force = grain_force
  [../]
  [./grain_volumes]
    type = FeatureVolumeVectorPostprocessor
    flood_counter = grain_center
    execute_on = 'initial timestep_begin'
  [../]
[]

[UserObjects]
  [./grain_center]
    type = GrainTracker
    outputs = none
    compute_var_to_feature_map = true
    execute_on = 'initial timestep_begin'
  [../]
  [./grain_force]
    type = ComputeGrainForceAndTorque
    execute_on = 'linear nonlinear'
    grain_data = grain_center
    force_density = force_density
    c = c
    etas = 'eta0 eta1'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  scheme = bdf2
  solve_type = NEWTON
  petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm         31   preonly   lu      1'
  l_max_its = 30
  l_tol = 1.0e-4
  nl_rel_tol = 1.0e-10
  start_time = 0.0
  num_steps = 1
  dt = 0.1
[]

[Outputs]
  exodus = true
  csv = true
[]

(modules/phase_field/test/tests/rigidbodymotion/grain_motion_fauxGT.i)

# test file for showing reaction forces between particles
[GlobalParams]
  var_name_base = eta
  op_num = 2
[]

[Mesh]
  type = GeneratedMesh
  dim = 2
  nx = 10
  ny = 5
  nz = 0
  xmax = 50
  ymax = 25
  zmax = 0
  elem_type = QUAD4
  uniform_refine = 1
[]

[Variables]
  [./c]
    order = FIRST
    family = LAGRANGE
  [../]
  [./w]
    order = FIRST
    family = LAGRANGE
  [../]
  [./eta0]
  [../]
  [./eta1]
  [../]
[]

[Kernels]
  [./c_res]
    type = SplitCHParsed
    variable = c
    f_name = F
    kappa_name = kappa_c
    args = 'eta0 eta1'
    w = w
  [../]
  [./w_res]
    type = SplitCHWRes
    variable = w
    mob_name = M
  [../]
  [./time]
    type = CoupledTimeDerivative
    variable = w
    v = c
  [../]
  [./motion]
    type = MultiGrainRigidBodyMotion
    variable = w
    c = c
    v = 'eta0 eta1'
    grain_force = grain_force
    grain_tracker_object = grain_center
    grain_volumes = grain_volumes
  [../]
  [./eta0_dot]
    type = TimeDerivative
    variable = eta0
  [../]
  [./vadv_eta]
    type = SingleGrainRigidBodyMotion
    variable = eta0
    c = c
    v = 'eta0 eta1'
    grain_force = grain_force
    grain_tracker_object = grain_center
    grain_volumes = grain_volumes
    op_index = 0
  [../]
  [./acint_eta0]
    type = ACInterface
    variable = eta0
    mob_name = M
    #args = c
    kappa_name = kappa_eta
  [../]
  [./acbulk_eta0]
    type = AllenCahn
    variable = eta0
    mob_name = M
    f_name = F
    args = 'c eta1'
  [../]
  [./eta1_dot]
    type = TimeDerivative
    variable = eta1
  [../]
  [./vadv_eta1]
    type = SingleGrainRigidBodyMotion
    variable = eta1
    c = c
    v = 'eta0 eta1'
    op_index = 1
    grain_force = grain_force
    grain_tracker_object = grain_center
    grain_volumes = grain_volumes
  [../]
  [./acint_eta1]
    type = ACInterface
    variable = eta1
    mob_name = M
    #args = c
    kappa_name = kappa_eta
  [../]
  [./acbulk_eta1]
    type = AllenCahn
    variable = eta1
    mob_name = M
    f_name = F
    args = 'c eta0'
  [../]
[]

[Materials]
  [./pfmobility]
    type = GenericConstantMaterial
    prop_names = 'M    kappa_c  kappa_eta'
    prop_values = '1.0  0.5      0.5'
  [../]
  [./free_energy]
    type = DerivativeParsedMaterial
    f_name = F
    args = 'c eta0 eta1'
    constant_names = 'barr_height  cv_eq'
    constant_expressions = '0.1          1.0e-2'
    function = 16*barr_height*(c-cv_eq)^2*(1-cv_eq-c)^2+eta0*(1-eta0)*c+eta1*(1-eta1)*c
    derivative_order = 2
  [../]
  [./force_density]
    type = ForceDensityMaterial
    c = c
    etas ='eta0 eta1'
  [../]
[]

[AuxVariables]
  [./bnds]
  [../]
  [./df00]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./df01]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./df10]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./df11]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./unique_grains]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./var_indices]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./centroids]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

[AuxKernels]
  [./bnds]
    type = BndsCalcAux
    variable = bnds
    var_name_base = eta
    op_num = 2
    v = 'eta0 eta1'
  [../]
  [./df01]
    type = MaterialStdVectorRealGradientAux
    variable = df01
    index = 0
    component = 1
    property = force_density
  [../]
  [./df11]
    type = MaterialStdVectorRealGradientAux
    variable = df11
    index = 1
    component = 1
    property = force_density
  [../]
  [./df00]
    type = MaterialStdVectorRealGradientAux
    variable = df00
    index = 0
    component = 0
    property = force_density
  [../]
  [./df10]
    type = MaterialStdVectorRealGradientAux
    variable = df10
    index = 1
    component = 0
    property = force_density
  [../]
  [./unique_grains]
    type = FeatureFloodCountAux
    variable = unique_grains
    flood_counter = grain_center
    field_display = UNIQUE_REGION
    execute_on = 'initial timestep_end'
  [../]
  [./var_indices]
    type = FeatureFloodCountAux
    variable = var_indices
    flood_counter = grain_center
    field_display = VARIABLE_COLORING
    execute_on = 'initial timestep_end'
  [../]
  [./centroids]
    type = FeatureFloodCountAux
    variable = centroids
    execute_on = 'initial timestep_end'
    field_display = CENTROID
    flood_counter = grain_center
  [../]
[]

[ICs]
  [./ic_eta0]
    int_width = 1.0
    x1 = 20.0
    y1 = 0.0
    radius = 14.0
    outvalue = 0.0
    variable = eta0
    invalue = 1.0
    type = SmoothCircleIC
  [../]
  [./IC_eta1]
    int_width = 1.0
    x1 = 30.0
    y1 = 25.0
    radius = 14.0
    outvalue = 0.0
    variable = eta1
    invalue = 1.0
    type = SmoothCircleIC
  [../]
  [./ic_c]
    type = SpecifiedSmoothCircleIC
    invalue = 1.0
    outvalue = 0.1
    int_width = 1.0
    x_positions = '20.0 30.0 '
    z_positions = '0.0 0.0 '
    y_positions = '0.0 25.0 '
    radii = '14.0 14.0'
    3D_spheres = false
    variable = c
    block = 0
  [../]
[]

[VectorPostprocessors]
  [./forces]
    type = GrainForcesPostprocessor
    grain_force = grain_force
  [../]
  [./grain_volumes]
    type = FeatureVolumeVectorPostprocessor
    flood_counter = grain_center
    execute_on = 'initial timestep_begin'
  [../]
[]

[UserObjects]
  [./grain_center]
    type = FauxGrainTracker
    outputs = none
    compute_var_to_feature_map = true
    execute_on = 'initial timestep_begin'
    variable = 'eta0 eta1'
  [../]
  [./grain_force]
    type = ComputeGrainForceAndTorque
    execute_on = 'linear nonlinear'
    grain_data = grain_center
    force_density = force_density
    c = c
    etas = 'eta0 eta1'
  [../]
[]

[Preconditioning]
  [./SMP]
    type = SMP
    full = true
  [../]
[]

[Executioner]
  type = Transient
  scheme = bdf2
  solve_type = NEWTON
  petsc_options_iname = '-pc_type -ksp_gmres_restart -sub_ksp_type -sub_pc_type -pc_asm_overlap'
  petsc_options_value = 'asm         31   preonly   lu      1'
  l_max_its = 30
  l_tol = 1.0e-4
  nl_rel_tol = 1.0e-10
  start_time = 0.0
  num_steps = 1
  dt = 0.1
[]

[Outputs]
  exodus = true
  csv = true
[]

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