ComputeSmearedCrackingStress for a transversely isotropic material

[racheljhur]

Hi everyone,

I am testing a simple study where I apply a volume averaged strain in the transverse direction (x) of my material (a 2D cross section of a unidirectional fiber-reinforced composite). My material is transversely isotropic, and I specified the stiffness tensor for block 1 (my fiber phase) and the isotropic modulus and poisson's ratio for block 2 (matrix phase).

My script is shown below. It should be noted that the subdomain ID is my material microstructure (which is a two-phase binary structure). I then assign appropriate constituents based on whether the phase is 0 or 1. The script is quite long because of this insertion, but I included it so that you can run the input file.

I am receiving this error for ComputeSmearedCrackingStress:
*** ERROR ***
The following error occurred in the object "elastic_stress", of type "ComputeSmearedCrackingStress".
ComputeSmearedCrackingStress requires that the elasticity tensor be guaranteed isotropic

I would appreciate any advice on how to circumvent this issue.

#---- 2D smeared cracking study ----#

[GlobalParams]
  displacements = 'disp_x disp_y'
  large_kinematics = true

  # DO NOT DISABLE THIS
  stabilize_strain = true
  constraint_types = 'strain none none none none none none none none'
  macro_gradient = hvar
  homogenization_constraint = homogenization
[]

[Kernels]
  [sdx]
    type = HomogenizedTotalLagrangianStressDivergence
    variable = disp_x
    component = 0
  []
  [sdy]
    type = HomogenizedTotalLagrangianStressDivergence
    variable = disp_y
    component = 1
  []
[]

[ScalarKernels]
  [enforce]
    type = HomogenizationConstraintScalarKernel
    variable = hvar
  []
[]

# these are the unknowns in the PDE, only specifying x and y for 2D outputs
[Variables]
  [disp_x]
    family = lagrange
    order = second
  []
  [disp_y]
    family = lagrange
    order = second
  []
  [hvar]
    family = SCALAR
    order = FIRST
  []
[]

# mesh

[Mesh]
  [generated]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 256
    ny = 256
    xmax = 1
    ymax = 1
    elem_type = QUAD8
    show_info=true
    # construct_side_list_from_node_list=true
    output=true
  []
 
  [subdomain_id]
    type = SubdomainPerElementGenerator
    input = generated
    subdomain_ids = '0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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  []
   # defining node sets for PBCs and preventing rigid body motion
        [origin_set]
                type=ExtraNodesetGenerator
                new_boundary = 'origin'
                coord = '0 0'
                input=subdomain_id
        []
        [xp_set]
                type=ExtraNodesetGenerator
                new_boundary = 'x_plus'
                coord = '1 0'
                input=origin_set
        []
        [yp_set]
                type=ExtraNodesetGenerator
                new_boundary = 'y_plus'
                coord = '0 1'
                input=xp_set
        []

[]

# note: the shear modulus identified here is for the transverse direction.
# G_12 and G_13 would be the shear for the longitudinal direction.
# 11 is along the fibers (longitudinal dir)
# 22 is the x direction

#    ___________________
#   |                   |
#   |                   |
#   |                   |
#   |                   |
#   |                   |
#   |                   |
#   |                   |
#   |                   |      ^
#   |                   |   33 |
#   ---------------------      |___> 22


[Materials]
  # transverse isotropy
  [./elasticity_1]
    type = ComputeElasticityTensor
    # C_ijkl = '1111, 1122, 1133, 3333, 2323'
    C_ijkl = ' 8.25185e+09 4.39817e+09 4.16537e+09 8.88588e+10 1.90464e+09'
    fill_method = axisymmetric_rz
    block = 1
  [../]

  [./elasticity_0]
    type = ComputeIsotropicElasticityTensor
    youngs_modulus = 3450000000.0
    poissons_ratio = 0.35
    block = 0
  [../]

  [./elastic_stress]
    type = ComputeSmearedCrackingStress
    cracking_stress = 62.3e6
    softening_models = abrupt_softening
  [../]
  [./abrupt_softening]
    type = AbruptSoftening
  [../]

  [stress]
    type = ComputeLagrangianLinearElasticStress
    large_kinematics = true
  []

  [strain]
    type = ComputeLagrangianStrain
    homogenization_gradient_names = 'homogenization_gradient'
    # output_properties = 'total_strain'
  []

  [compute_homogenization_gradient]
     type = ComputeHomogenizedLagrangianStrain
  []

[]

# load function
#[Functions]
#  [stretch]
#    type = PiecewiseLinear
#    x = '0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
#    y = '0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28 0.29 0.30'
#  []
#[]

# PBCs and constraining rigid body motion
[BCs]
  [./Periodic]
    [./y]
      variable = disp_y
      auto_direction = 'x y'
    []
    [./x]
      variable = disp_x
      auto_direction = 'x y'
    []
  []
  # apply load
  # constrain rigid body motion by pinning the corners and origin
        [fix_origin_x]
                type = DirichletBC
                boundary = "origin"
                variable = disp_x
                value = 0
        []

        [fix_origin_y]
                type = DirichletBC
                boundary = "origin"
                variable = disp_y
                value = 0
        []

        [fix_x]
          type = DirichletBC
          boundary = "x_plus"
          variable = disp_x
          value = 0
        []

        [fix_y]
          type = DirichletBC
          boundary = "y_plus"
          variable = disp_y
          value = 0
        []
[]

# allocating memory to solve for these variables
[AuxVariables]
  [./stress_xx]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_yy]
    order = CONSTANT
    family = MONOMIAL
  [../]
  [./stress_xy]
    order = CONSTANT
    family = MONOMIAL
  [../]
[]

# solving
[AuxKernels]

  [./stress_xx]
    type = RankTwoAux
    rank_two_tensor = pk1_stress
    variable = stress_xx
    index_i = 0
    index_j = 0
  [../]
  [./stress_yy]
    type = RankTwoAux
    rank_two_tensor = pk1_stress
    variable = stress_yy
    index_i = 1
    index_j = 1
  [../]
  [./stress_xy]
    type = RankTwoAux
    rank_two_tensor = pk1_stress
    variable = stress_xy
    index_i = 0
    index_j = 1
  [../]
[]

# apply a volume average strain in the 22 orientation
[UserObjects]
  [homogenization]
    type = HomogenizationConstraint
    targets = '0.02'
    execute_on = 'INITIAL LINEAR NONLINEAR'
  []
[]

[Executioner]
    type = Steady

    solve_type = 'pjfnk'
    line_search = 'bt'

    #petsc_options_iname = '-pc_type'
    #petsc_options_value = 'lu'

    petsc_options_iname = '-pc_type -pc_hypre_type -pc_hypre_boomeramg_strong_threshold'
    petsc_options_value = 'hypre     boomeramg      0.5'

    reuse_preconditioner = true
    reuse_preconditioner_max_linear_its = 10

    l_max_its = 100
    l_tol = 1e-10
    nl_max_its = 10

    # want to get 1e-8 accuracy everywhere
    nl_rel_tol = 1e-8
    # stress (divergence) up to 1e-8
    nl_abs_tol = 1e-8

    automatic_scaling = true
    # scale contributions from each disp var and imposed strain independently
    scaling_group_variables = 'disp_x ; disp_y; hvar'
[]


[Outputs]
  file_base = 'out_files/F30/arr_0'
  exodus = true
  csv = true
[]

[Debug]
  show_material_props = true
[]

[GiudGiud]

@bwspenc @gambka thoughts on this?

Do they need to implement a new smeared cracking stress material that can handle anisotropy?

[racheljhur]

@bwspenc @gambka I'd appreciate any advice on this.

Also, @GiudGiud, in the case I do need to implement a new material, can this be done using a Conda MOOSE environment?

[GiudGiud]

yes. As long as you have the moose-dev package