Where is coupling introduced between the thermal and mechanical solutions in this model?
The only place where coupling between the temperature and displacement solutions explicitly appears in the input file is in the block that defines the thermal eigenstrain:
[Materials]
[expansion1]
type = ComputeThermalExpansionEigenstrain
temperature = T
thermal_expansion_coeff = 0.001
stress_free_temperature = 300
eigenstrain_name = thermal_expansion
[]
[]
(modules/combined/tutorials/introduction/thermal_mechanical/thermomech_step01.i)In this block, the temperature
parameter indicates which variable is used to define the temperature field. In this case, the T
variable that is specified is a solution variable. This results in coupling between the thermal and mechanical solutions. Note that this specified variable can be either a variable that is part of the solution, as is the case here, or an auxiliary variable, which might be prescribed using a function, as was the case in the mechanics-only model that this case builds upon.
In addition to the dependency of the eigenstrain on the temperature solution, there is also a dependency of the thermal solution on the mechanical solution that is not as immediately apparent. The thermal kernels by default run on the displaced mesh, the distortion of which is computed by the mechanics models. For many models, this has a negligible effect, but it can be important in some cases, particularly when thermal contact is included.
(modules/combined/tutorials/introduction/thermal_mechanical/thermomech_step01.i)
#
# Single block coupled thermal/mechanical
# https://mooseframework.inl.gov/modules/combined/tutorials/introduction/thermoech_step01.html
#
[GlobalParams]
displacements = 'disp_x disp_y'
[]
[Mesh]
[generated]
type = GeneratedMeshGenerator
dim = 2
nx = 10
ny = 10
xmax = 2
ymax = 1
[]
[pin]
type = ExtraNodesetGenerator
input = generated
new_boundary = pin
coord = '0 0 0'
[]
[]
[Variables]
[T]
initial_condition = 300.0
[]
[]
[Kernels]
[heat_conduction]
type = HeatConduction
variable = T
[]
[time_derivative]
type = HeatConductionTimeDerivative
variable = T
[]
[heat_source]
type = HeatSource
variable = T
value = 5e4
[]
[]
[Physics/SolidMechanics/QuasiStatic]
[all]
add_variables = true
strain = FINITE
automatic_eigenstrain_names = true
generate_output = 'vonmises_stress'
[]
[]
[Materials]
[thermal]
type = HeatConductionMaterial
thermal_conductivity = 45.0
specific_heat = 0.5
[]
[density]
type = GenericConstantMaterial
prop_names = 'density'
prop_values = 8000.0
[]
[elasticity]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 1e9
poissons_ratio = 0.3
[]
[expansion1]
type = ComputeThermalExpansionEigenstrain
temperature = T
thermal_expansion_coeff = 0.001
stress_free_temperature = 300
eigenstrain_name = thermal_expansion
[]
[stress]
type = ComputeFiniteStrainElasticStress
[]
[]
[BCs]
[t_left]
type = DirichletBC
variable = T
value = 300
boundary = 'left'
[]
[t_right]
type = FunctionDirichletBC
variable = T
function = '300+5*t'
boundary = 'right'
[]
[pin_x]
type = DirichletBC
variable = disp_x
boundary = pin
value = 0
[]
[bottom_y]
type = DirichletBC
variable = disp_y
boundary = bottom
value = 0
[]
[]
[Preconditioning]
[smp]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
petsc_options_iname = '-pc_type'
petsc_options_value = 'lu'
end_time = 5
dt = 1
[]
[Outputs]
exodus = true
[]