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biaxial_abbo.i
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biaxial_abbo.i
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# Uses an Abbo et al smoothed version of Mohr-Coulomb (via TensorMechanicsPlasticMohrCoulomb and ComputeMultiPlasticityStress) to simulate the following problem.
# A cubical block is notched around its equator.
# All of its outer surfaces have roller BCs, but the notched region is free to move as needed
# The block is initialised with a high hydrostatic tensile stress
# Without the notch, the BCs do not allow contraction of the block, and this stress configuration is admissible
# With the notch, however, the interior parts of the block are free to move in order to relieve stress, and this causes plastic failure
# The top surface is then pulled upwards (the bottom is fixed because of the roller BCs)
# This causes more failure
[Mesh]
[generated_mesh]
type = GeneratedMeshGenerator
dim = 3
nx = 9
ny = 9
nz = 9
xmin = 0
xmax = 0.1
ymin = 0
ymax = 0.1
zmin = 0
zmax = 0.1
[]
[block_to_remove_xmin]
type = SubdomainBoundingBoxGenerator
bottom_left = '-0.01 -0.01 0.045'
top_right = '0.01 0.11 0.055'
location = INSIDE
block_id = 1
input = generated_mesh
[]
[block_to_remove_xmax]
type = SubdomainBoundingBoxGenerator
bottom_left = '0.09 -0.01 0.045'
top_right = '0.11 0.11 0.055'
location = INSIDE
block_id = 1
input = block_to_remove_xmin
[]
[block_to_remove_ymin]
type = SubdomainBoundingBoxGenerator
bottom_left = '-0.01 -0.01 0.045'
top_right = '0.11 0.01 0.055'
location = INSIDE
block_id = 1
input = block_to_remove_xmax
[]
[block_to_remove_ymax]
type = SubdomainBoundingBoxGenerator
bottom_left = '-0.01 0.09 0.045'
top_right = '0.11 0.11 0.055'
location = INSIDE
block_id = 1
input = block_to_remove_ymin
[]
[remove_block]
type = BlockDeletionGenerator
block = 1
input = block_to_remove_ymax
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
[]
[Modules/TensorMechanics/Master]
[./all]
add_variables = true
incremental = true
generate_output = 'max_principal_stress mid_principal_stress min_principal_stress stress_zz'
eigenstrain_names = ini_stress
[../]
[]
[Postprocessors]
[./uz]
type = PointValue
point = '0 0 0.1'
use_displaced_mesh = false
variable = disp_z
[../]
[./s_zz]
type = ElementAverageValue
use_displaced_mesh = false
variable = stress_zz
[../]
[./num_res]
type = NumResidualEvaluations
[../]
[./nr_its] # num_iters is the average number of NR iterations encountered per element in this timestep
type = ElementAverageValue
variable = num_iters
[../]
[./max_nr_its] # num_iters is the average number of NR iterations encountered in the element in this timestep, so we must get max(max_nr_its) to obtain the max number of iterations
type = ElementExtremeValue
variable = num_iters
[../]
[./runtime]
type = PerfGraphData
data_type = TOTAL
section_name = 'Root'
[../]
[]
[BCs]
# back=zmin, front=zmax, bottom=ymin, top=ymax, left=xmin, right=xmax
[./xmin_xzero]
type = DirichletBC
variable = disp_x
boundary = left
value = 0.0
[../]
[./xmax_xzero]
type = DirichletBC
variable = disp_x
boundary = right
value = 0.0
[../]
[./ymin_yzero]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0.0
[../]
[./ymax_yzero]
type = DirichletBC
variable = disp_y
boundary = top
value = 0.0
[../]
[./zmin_zzero]
type = DirichletBC
variable = disp_z
boundary = back
value = '0'
[../]
[./zmax_disp]
type = FunctionDirichletBC
variable = disp_z
boundary = front
function = '1E-6*max(t,0)'
[../]
[]
[AuxVariables]
[./mc_int]
order = CONSTANT
family = MONOMIAL
[../]
[./num_iters]
order = CONSTANT
family = MONOMIAL
[../]
[./yield_fcn]
order = CONSTANT
family = MONOMIAL
[../]
[]
[AuxKernels]
[./mc_int_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_internal_parameter
variable = mc_int
[../]
[./num_iters_auxk]
type = MaterialRealAux
property = plastic_NR_iterations
variable = num_iters
[../]
[./yield_fcn_auxk]
type = MaterialStdVectorAux
index = 0
property = plastic_yield_function
variable = yield_fcn
[../]
[]
[UserObjects]
[./mc_coh]
type = TensorMechanicsHardeningConstant
value = 5E6
[../]
[./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 = 0.02E6
mc_edge_smoother = 29
yield_function_tolerance = 1E-5
internal_constraint_tolerance = 1E-11
[../]
[]
[Materials]
[./elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 16E9
poissons_ratio = 0.25
[../]
[./mc]
type = ComputeMultiPlasticityStress
ep_plastic_tolerance = 1E-11
plastic_models = mc
max_NR_iterations = 1000
debug_fspb = crash
[../]
[./strain_from_initial_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '6E6 0 0 0 6E6 0 0 0 6E6'
eigenstrain_name = ini_stress
[../]
[]
[Preconditioning]
[./andy]
type = SMP
full = true
[../]
[]
[Executioner]
start_time = -1
end_time = 10
dt = 1
solve_type = NEWTON
type = Transient
l_tol = 1E-2
nl_abs_tol = 1E-5
nl_rel_tol = 1E-7
l_max_its = 200
nl_max_its = 400
petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
petsc_options_value = ' asm 2 lu gmres 200'
[]
[Outputs]
file_base = biaxial_abbo
perf_graph = true
exodus = false
csv = true
[]