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SolidModel.C
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SolidModel.C
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//* This file is part of the MOOSE framework
//* https://www.mooseframework.org
//*
//* All rights reserved, see COPYRIGHT for full restrictions
//* https://github.com/idaholab/moose/blob/master/COPYRIGHT
//*
//* Licensed under LGPL 2.1, please see LICENSE for details
//* https://www.gnu.org/licenses/lgpl-2.1.html
#include "SolidModel.h"
#include "AxisymmetricRZ.h"
#include "NonlinearRZ.h"
#include "SphericalR.h"
#include "Linear.h"
#include "Nonlinear3D.h"
#include "PlaneStrain.h"
#include "NonlinearPlaneStrain.h"
#include "VolumetricModel.h"
#include "ConstitutiveModel.h"
#include "SymmIsotropicElasticityTensor.h"
#include "MooseApp.h"
#include "Problem.h"
#include "PiecewiseLinear.h"
#include "libmesh/quadrature.h"
registerMooseObject("SolidMechanicsApp", SolidModel);
template <>
InputParameters
validParams<SolidModel>()
{
MooseEnum formulation(
"Nonlinear3D NonlinearRZ AxisymmetricRZ SphericalR Linear PlaneStrain NonlinearPlaneStrain");
MooseEnum compute_method("NoShearRetention ShearRetention");
InputParameters params = validParams<Material>();
params.addParam<std::string>(
"appended_property_name", "", "Name appended to material properties to make them unique");
params.addParam<Real>("bulk_modulus", "The bulk modulus for the material.");
params.addParam<Real>("lambda", "Lame's first parameter for the material.");
params.addParam<Real>("poissons_ratio", "Poisson's ratio for the material.");
params.addParam<FunctionName>("poissons_ratio_function",
"Poisson's ratio as a function of temperature.");
params.addParam<Real>("shear_modulus", "The shear modulus of the material.");
params.addParam<Real>("youngs_modulus", "Young's modulus of the material.");
params.addParam<FunctionName>("youngs_modulus_function",
"Young's modulus as a function of temperature.");
params.addParam<Real>("thermal_expansion", "The thermal expansion coefficient.");
params.addParam<FunctionName>("thermal_expansion_function",
"Thermal expansion coefficient as a function of temperature.");
params.addCoupledVar("temp", "Coupled Temperature");
params.addParam<Real>(
"stress_free_temperature",
"The stress-free temperature. If not specified, the initial temperature is used.");
params.addParam<Real>("thermal_expansion_reference_temperature",
"Reference temperature for mean thermal expansion function.");
MooseEnum cte_function_type("instantaneous mean");
params.addParam<MooseEnum>("thermal_expansion_function_type",
cte_function_type,
"Type of thermal expansion function. Choices are: " +
cte_function_type.getRawNames());
params.addParam<std::vector<Real>>("initial_stress",
"The initial stress tensor (xx, yy, zz, xy, yz, zx)");
params.addParam<std::string>(
"cracking_release",
"abrupt",
"The cracking release type. Choices are abrupt (default) and exponential.");
params.addParam<Real>("cracking_stress",
0.0,
"The stress threshold beyond which cracking occurs. Must be positive.");
params.addParam<Real>(
"cracking_residual_stress",
0.0,
"The fraction of the cracking stress allowed to be maintained following a crack.");
params.addParam<Real>("cracking_beta", 1.0, "The coefficient used in the exponetional model.");
params.addParam<MooseEnum>(
"compute_method", compute_method, "The method used in the stress calculation.");
params.addParam<FunctionName>(
"cracking_stress_function", "", "The cracking stress as a function of time and location");
params.addParam<std::vector<unsigned int>>(
"active_crack_planes", "Planes on which cracks are allowed (0,1,2 -> x,z,theta in RZ)");
params.addParam<unsigned int>(
"max_cracks", 3, "The maximum number of cracks allowed at a material point.");
params.addParam<Real>("cracking_neg_fraction",
"The fraction of the cracking strain at which a "
"transitition begins during decreasing strain to "
"the original stiffness.");
params.addParam<MooseEnum>("formulation",
formulation,
"Element formulation. Choices are: " + formulation.getRawNames());
params.addParam<std::string>("increment_calculation",
"RashidApprox",
"The algorithm to use when computing the "
"incremental strain and rotation (RashidApprox or "
"Eigen). For use with Nonlinear3D/RZ formulation.");
params.addParam<bool>("large_strain",
false,
"Whether to include large strain terms in "
"AxisymmetricRZ, SphericalR, and PlaneStrain "
"formulations.");
params.addParam<bool>("compute_JIntegral", false, "Whether to compute the J Integral.");
params.addParam<bool>(
"compute_InteractionIntegral", false, "Whether to compute the Interaction Integral.");
params.addCoupledVar("disp_r", "The r displacement");
params.addCoupledVar("disp_x", "The x displacement");
params.addCoupledVar("disp_y", "The y displacement");
params.addCoupledVar("disp_z", "The z displacement");
params.addCoupledVar("strain_zz", "The zz strain");
params.addCoupledVar("scalar_strain_zz", "The zz strain (scalar variable)");
params.addParam<std::vector<std::string>>(
"dep_matl_props", "Names of material properties this material depends on.");
params.addParam<std::string>("constitutive_model", "ConstitutiveModel to use (optional)");
params.addParam<bool>("volumetric_locking_correction",
true,
"Set to false to turn off volumetric locking correction");
return params;
}
namespace
{
SolidModel::CRACKING_RELEASE
getCrackingModel(const std::string & name)
{
std::string n(name);
std::transform(n.begin(), n.end(), n.begin(), ::tolower);
SolidModel::CRACKING_RELEASE cm(SolidModel::CR_UNKNOWN);
if (n == "abrupt")
cm = SolidModel::CR_ABRUPT;
else if (n == "exponential")
cm = SolidModel::CR_EXPONENTIAL;
else if (n == "power")
cm = SolidModel::CR_POWER;
if (cm == SolidModel::CR_UNKNOWN)
mooseError("Unknown cracking model");
return cm;
}
}
SolidModel::SolidModel(const InputParameters & parameters)
: DerivativeMaterialInterface<Material>(parameters),
_appended_property_name(getParam<std::string>("appended_property_name")),
_bulk_modulus_set(parameters.isParamValid("bulk_modulus")),
_lambda_set(parameters.isParamValid("lambda")),
_poissons_ratio_set(parameters.isParamValid("poissons_ratio")),
_shear_modulus_set(parameters.isParamValid("shear_modulus")),
_youngs_modulus_set(parameters.isParamValid("youngs_modulus")),
_bulk_modulus(_bulk_modulus_set ? getParam<Real>("bulk_modulus") : -1),
_lambda(_lambda_set ? getParam<Real>("lambda") : -1),
_poissons_ratio(_poissons_ratio_set ? getParam<Real>("poissons_ratio") : -1),
_shear_modulus(_shear_modulus_set ? getParam<Real>("shear_modulus") : -1),
_youngs_modulus(_youngs_modulus_set ? getParam<Real>("youngs_modulus") : -1),
_youngs_modulus_function(
isParamValid("youngs_modulus_function") ? &getFunction("youngs_modulus_function") : NULL),
_poissons_ratio_function(
isParamValid("poissons_ratio_function") ? &getFunction("poissons_ratio_function") : NULL),
_cracking_release(getCrackingModel(getParam<std::string>("cracking_release"))),
_cracking_stress(
parameters.isParamValid("cracking_stress")
? (getParam<Real>("cracking_stress") > 0 ? getParam<Real>("cracking_stress") : -1)
: -1),
_cracking_residual_stress(getParam<Real>("cracking_residual_stress")),
_cracking_beta(getParam<Real>("cracking_beta")),
_compute_method(getParam<MooseEnum>("compute_method")),
_cracking_stress_function(getParam<FunctionName>("cracking_stress_function") != ""
? &getFunction("cracking_stress_function")
: NULL),
_cracking_alpha(0),
_active_crack_planes(3, 1),
_max_cracks(getParam<unsigned int>("max_cracks")),
_cracking_neg_fraction(
isParamValid("cracking_neg_fraction") ? getParam<Real>("cracking_neg_fraction") : 0),
_has_temp(isCoupled("temp")),
_temperature(_has_temp ? coupledValue("temp") : _zero),
_temperature_old(_has_temp ? coupledValueOld("temp") : _zero),
_temp_grad(coupledGradient("temp")),
_alpha(parameters.isParamValid("thermal_expansion") ? getParam<Real>("thermal_expansion") : 0.),
_alpha_function(parameters.isParamValid("thermal_expansion_function")
? &getFunction("thermal_expansion_function")
: NULL),
_piecewise_linear_alpha_function(NULL),
_has_stress_free_temp(false),
_stress_free_temp(0.0),
_ref_temp(0.0),
_volumetric_models(),
_dep_matl_props(),
_stress(createProperty<SymmTensor>("stress")),
_stress_old_prop(getPropertyOld<SymmTensor>("stress")),
_stress_old(0),
_total_strain(createProperty<SymmTensor>("total_strain")),
_total_strain_old(getPropertyOld<SymmTensor>("total_strain")),
_elastic_strain(createProperty<SymmTensor>("elastic_strain")),
_elastic_strain_old(getPropertyOld<SymmTensor>("elastic_strain")),
_crack_flags(NULL),
_crack_flags_old(NULL),
_crack_flags_local(),
_crack_count(NULL),
_crack_count_old(NULL),
_crack_rotation(NULL),
_crack_rotation_old(NULL),
_crack_strain(NULL),
_crack_strain_old(NULL),
_crack_max_strain(NULL),
_crack_max_strain_old(NULL),
_principal_strain(3, 1),
_elasticity_tensor(createProperty<SymmElasticityTensor>("elasticity_tensor")),
_Jacobian_mult(createProperty<SymmElasticityTensor>("Jacobian_mult")),
_d_strain_dT(),
_d_stress_dT(createProperty<SymmTensor>("d_stress_dT")),
_total_strain_increment(0),
_mechanical_strain_increment(0),
_strain_increment(0),
_compute_JIntegral(getParam<bool>("compute_JIntegral")),
_compute_InteractionIntegral(getParam<bool>("compute_InteractionIntegral")),
_SED(NULL),
_SED_old(NULL),
_Eshelby_tensor(NULL),
_J_thermal_term_vec(NULL),
_current_instantaneous_thermal_expansion_coef(NULL),
_block_id(std::vector<SubdomainID>(blockIDs().begin(), blockIDs().end())),
_constitutive_active(false),
_step_zero(declareRestartableData<bool>("step_zero", true)),
_step_one(declareRestartableData<bool>("step_one", true)),
_element(NULL),
_local_elasticity_tensor(NULL)
{
bool same_coord_type = true;
for (unsigned int i = 1; i < _block_id.size(); ++i)
same_coord_type &=
(_subproblem.getCoordSystem(_block_id[0]) == _subproblem.getCoordSystem(_block_id[i]));
if (!same_coord_type)
mooseError("Material '",
name(),
"' was specified on multiple blocks that do not have the same coordinate system");
// Use the first block to figure out the coordinate system (the above check ensures that they are
// the same)
_coord_type = _subproblem.getCoordSystem(_block_id[0]);
if (_coord_type == Moose::COORD_RZ && _subproblem.getAxisymmetricRadialCoord() != 0)
mooseError(
"rz_coord_axis=Y is the only supported option for axisymmetric SolidMechanics models");
_element = createElement();
const std::vector<std::string> & dmp = getParam<std::vector<std::string>>("dep_matl_props");
_dep_matl_props.insert(dmp.begin(), dmp.end());
for (std::set<std::string>::const_iterator i = _dep_matl_props.begin();
i != _dep_matl_props.end();
++i)
{
// Tell MOOSE that we need this MaterialProperty. This enables dependency checking.
getMaterialProperty<Real>(*i);
}
_cracking_alpha = -_youngs_modulus;
if (_cracking_stress > 0)
{
_crack_flags = &createProperty<RealVectorValue>("crack_flags");
_crack_flags_old = &getPropertyOld<RealVectorValue>("crack_flags");
if (_cracking_release == CR_POWER)
{
_crack_count = &createProperty<RealVectorValue>("crack_count");
_crack_count_old = &getPropertyOld<RealVectorValue>("crack_count");
}
_crack_rotation = &createProperty<ColumnMajorMatrix>("crack_rotation");
_crack_rotation_old = &getPropertyOld<ColumnMajorMatrix>("crack_rotation");
_crack_max_strain = &createProperty<RealVectorValue>("crack_max_strain");
_crack_max_strain_old = &getPropertyOld<RealVectorValue>("crack_max_strain");
_crack_strain = &createProperty<RealVectorValue>("crack_strain");
_crack_strain_old = &getPropertyOld<RealVectorValue>("crack_strain");
if (parameters.isParamValid("active_crack_planes"))
{
const std::vector<unsigned int> & planes =
getParam<std::vector<unsigned>>("active_crack_planes");
for (unsigned i(0); i < 3; ++i)
_active_crack_planes[i] = 0;
for (unsigned i(0); i < planes.size(); ++i)
{
if (planes[i] > 2)
mooseError("Active planes must be 0, 1, or 2");
_active_crack_planes[planes[i]] = 1;
}
}
if (_cracking_residual_stress < 0 || _cracking_residual_stress > 1)
{
mooseError("cracking_residual_stress must be between 0 and 1");
}
if (isParamValid("cracking_neg_fraction") &&
(_cracking_neg_fraction <= 0 || _cracking_neg_fraction > 1))
{
mooseError("cracking_neg_fraction must be > zero and <= 1");
}
}
if (parameters.isParamValid("stress_free_temperature"))
{
_has_stress_free_temp = true;
_stress_free_temp = getParam<Real>("stress_free_temperature");
if (!_has_temp)
mooseError("Cannot specify stress_free_temperature without coupling to temperature");
}
if (parameters.isParamValid("thermal_expansion_function_type"))
{
if (!_alpha_function)
mooseError("thermal_expansion_function_type can only be set when thermal_expansion_function "
"is used");
MooseEnum tec = getParam<MooseEnum>("thermal_expansion_function_type");
if (tec == "mean")
_mean_alpha_function = true;
else if (tec == "instantaneous")
_mean_alpha_function = false;
else
mooseError("Invalid option for thermal_expansion_function_type");
}
else
_mean_alpha_function = false;
if (parameters.isParamValid("thermal_expansion_reference_temperature"))
{
if (!_alpha_function)
mooseError("thermal_expansion_reference_temperature can only be set when "
"thermal_expansion_function is used");
if (!_mean_alpha_function)
mooseError("thermal_expansion_reference_temperature can only be set when "
"thermal_expansion_function_type = mean");
_ref_temp = getParam<Real>("thermal_expansion_reference_temperature");
if (!_has_temp)
mooseError(
"Cannot specify thermal_expansion_reference_temperature without coupling to temperature");
}
if (_mean_alpha_function)
{
if (!parameters.isParamValid("thermal_expansion_reference_temperature") ||
!_has_stress_free_temp)
mooseError(
"Must specify both stress_free_temperature and thermal_expansion_reference_temperature "
"if thermal_expansion_function_type = mean");
}
if (parameters.isParamValid("thermal_expansion") &&
parameters.isParamValid("thermal_expansion_function"))
mooseError("Cannot specify both thermal_expansion and thermal_expansion_function");
if (_compute_JIntegral)
{
_SED = &declareProperty<Real>("strain_energy_density");
_SED_old = &getMaterialPropertyOld<Real>("strain_energy_density");
_Eshelby_tensor = &declareProperty<RankTwoTensor>("Eshelby_tensor");
_J_thermal_term_vec = &declareProperty<RealVectorValue>("J_thermal_term_vec");
_current_instantaneous_thermal_expansion_coef =
&declareProperty<Real>("current_instantaneous_thermal_expansion_coef");
}
if (_compute_InteractionIntegral &&
!hasMaterialProperty<Real>("current_instantaneous_thermal_expansion_coef"))
_current_instantaneous_thermal_expansion_coef =
&declareProperty<Real>("current_instantaneous_thermal_expansion_coef");
}
////////////////////////////////////////////////////////////////////////
SolidModel::~SolidModel()
{
delete _local_elasticity_tensor;
delete _element;
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::checkElasticConstants()
{
int num_elastic_constants = _bulk_modulus_set + _lambda_set + _poissons_ratio_set +
_shear_modulus_set + _youngs_modulus_set;
if (num_elastic_constants != 2)
{
std::string err("Exactly two elastic constants must be defined for material '");
err += name();
err += "'.";
mooseError(err);
}
if (_bulk_modulus_set && _bulk_modulus <= 0)
{
std::string err("Bulk modulus must be positive in material '");
err += name();
err += "'.";
mooseError(err);
}
if (_poissons_ratio_set && (_poissons_ratio <= -1.0 || _poissons_ratio >= 0.5))
{
std::string err("Poissons ratio must be greater than -1 and less than 0.5 in material '");
err += name();
err += "'.";
mooseError(err);
}
if (_shear_modulus_set && _shear_modulus < 0)
{
std::string err("Shear modulus must not be negative in material '");
err += name();
err += "'.";
mooseError(err);
}
if (_youngs_modulus_set && _youngs_modulus <= 0)
{
std::string err("Youngs modulus must be positive in material '");
err += name();
err += "'.";
mooseError(err);
}
// Calculate lambda, the shear modulus, and Young's modulus
if (_lambda_set && _shear_modulus_set) // First and second Lame
{
_youngs_modulus =
_shear_modulus * (3 * _lambda + 2 * _shear_modulus) / (_lambda + _shear_modulus);
_poissons_ratio = 0.5 * _lambda / (_lambda + _shear_modulus);
}
else if (_lambda_set && _poissons_ratio_set)
{
_shear_modulus = (_lambda * (1.0 - 2.0 * _poissons_ratio)) / (2.0 * _poissons_ratio);
_youngs_modulus =
_shear_modulus * (3 * _lambda + 2 * _shear_modulus) / (_lambda + _shear_modulus);
}
else if (_lambda_set && _bulk_modulus_set)
{
_shear_modulus = 3.0 * (_bulk_modulus - _lambda) / 2.0;
_youngs_modulus =
_shear_modulus * (3 * _lambda + 2 * _shear_modulus) / (_lambda + _shear_modulus);
_poissons_ratio = _lambda / (3 * _bulk_modulus - _lambda);
}
else if (_lambda_set && _youngs_modulus_set)
{
_shear_modulus =
((_youngs_modulus - 3.0 * _lambda) / 4.0) +
(std::sqrt((_youngs_modulus - 3.0 * _lambda) * (_youngs_modulus - 3.0 * _lambda) +
8.0 * _lambda * _youngs_modulus) /
4.0);
_poissons_ratio = _lambda / (3 * _bulk_modulus - _lambda);
}
else if (_shear_modulus_set && _poissons_ratio_set)
{
_lambda = (2.0 * _shear_modulus * _poissons_ratio) / (1.0 - 2.0 * _poissons_ratio);
_youngs_modulus =
_shear_modulus * (3 * _lambda + 2 * _shear_modulus) / (_lambda + _shear_modulus);
}
else if (_shear_modulus_set && _bulk_modulus_set)
{
_lambda = _bulk_modulus - 2.0 * _shear_modulus / 3.0;
_youngs_modulus =
_shear_modulus * (3 * _lambda + 2 * _shear_modulus) / (_lambda + _shear_modulus);
_poissons_ratio =
(3 * _bulk_modulus - 2 * _shear_modulus) / (2 * (3 * _bulk_modulus + _shear_modulus));
}
else if (_shear_modulus_set && _youngs_modulus_set)
{
_lambda = ((2.0 * _shear_modulus - _youngs_modulus) * _shear_modulus) /
(_youngs_modulus - 3.0 * _shear_modulus);
_poissons_ratio = 0.5 * _youngs_modulus / _shear_modulus - 1;
}
else if (_poissons_ratio_set && _bulk_modulus_set)
{
_lambda = (3.0 * _bulk_modulus * _poissons_ratio) / (1.0 + _poissons_ratio);
_shear_modulus =
(3.0 * _bulk_modulus * (1.0 - 2.0 * _poissons_ratio)) / (2.0 * (1.0 + _poissons_ratio));
_youngs_modulus =
_shear_modulus * (3 * _lambda + 2 * _shear_modulus) / (_lambda + _shear_modulus);
}
else if (_youngs_modulus_set && _poissons_ratio_set) // Young's Modulus and Poisson's Ratio
{
_lambda = (_poissons_ratio * _youngs_modulus) /
((1.0 + _poissons_ratio) * (1 - 2.0 * _poissons_ratio));
_shear_modulus = _youngs_modulus / (2.0 * (1.0 + _poissons_ratio));
}
else if (_youngs_modulus_set && _bulk_modulus_set)
{
_lambda = 3.0 * _bulk_modulus * (3.0 * _bulk_modulus - _youngs_modulus) /
(9.0 * _bulk_modulus - _youngs_modulus);
_shear_modulus =
3.0 * _youngs_modulus * _bulk_modulus / (9.0 * _bulk_modulus - _youngs_modulus);
_poissons_ratio = (3 * _bulk_modulus - _youngs_modulus) / (6 * _bulk_modulus);
}
_lambda_set = true;
_shear_modulus_set = true;
_youngs_modulus_set = true;
_poissons_ratio_set = true;
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::createElasticityTensor()
{
bool constant(true);
if (_cracking_stress > 0 || _youngs_modulus_function || _poissons_ratio_function ||
_cracking_stress_function)
{
constant = false;
}
SymmIsotropicElasticityTensor * iso = new SymmIsotropicElasticityTensor(constant);
mooseAssert(_youngs_modulus_set, "Internal error: Youngs modulus not set");
mooseAssert(_poissons_ratio_set, "Internal error: Poissons ratio not set");
iso->setYoungsModulus(_youngs_modulus);
iso->setPoissonsRatio(_poissons_ratio);
iso->calculate(0);
elasticityTensor(iso);
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::timestepSetup()
{
// if (_cracking_stress > 0)
// {
// _cracked_this_step_count.clear();
// }
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::jacobianSetup()
{
// if (_cracking_stress > 0)
// {
// for (std::map<Point, unsigned>::iterator i = _cracked_this_step.begin();
// i != _cracked_this_step.end(); ++i)
// {
// if (i->second)
// {
// ++_cracked_this_step_count[i->first];
// }
// }
// }
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::elasticityTensor(SymmElasticityTensor * e)
{
delete _local_elasticity_tensor;
_local_elasticity_tensor = e;
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::modifyStrainIncrement()
{
bool modified = false;
_d_strain_dT.zero();
const SubdomainID current_block = _current_elem->subdomain_id();
if (_constitutive_active)
{
MooseSharedPointer<ConstitutiveModel> cm = _constitutive_model[current_block];
// Let's be a little careful and check for a non-existent
// ConstitutiveModel, which could be returned as a default value
// from std::map::operator[]
if (!cm)
mooseError("ConstitutiveModel not available for block ", current_block);
cm->setQp(_qp);
modified |= cm->modifyStrainIncrement(*_current_elem, _strain_increment, _d_strain_dT);
}
if (!modified)
{
applyThermalStrain();
}
applyVolumetricStrain();
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::applyThermalStrain()
{
if (_has_temp && !_step_zero)
{
Real inc_thermal_strain;
Real d_thermal_strain_d_temp;
Real old_temp;
if (_step_one && _has_stress_free_temp)
old_temp = _stress_free_temp;
else
old_temp = _temperature_old[_qp];
Real current_temp = _temperature[_qp];
Real delta_t = current_temp - old_temp;
Real alpha = _alpha;
if (_alpha_function)
{
Point p;
Real alpha_current_temp = _alpha_function->value(current_temp, p);
Real alpha_old_temp = _alpha_function->value(old_temp, p);
if (_mean_alpha_function)
{
Real alpha_stress_free_temperature = _alpha_function->value(_stress_free_temp, p);
Real small(1e-6);
Real numerator = alpha_current_temp * (current_temp - _ref_temp) -
alpha_old_temp * (old_temp - _ref_temp);
Real denominator = 1.0 + alpha_stress_free_temperature * (_stress_free_temp - _ref_temp);
if (denominator < small)
mooseError("Denominator too small in thermal strain calculation");
inc_thermal_strain = numerator / denominator;
d_thermal_strain_d_temp = alpha_current_temp * (current_temp - _ref_temp);
}
else
{
inc_thermal_strain = delta_t * 0.5 * (alpha_current_temp + alpha_old_temp);
d_thermal_strain_d_temp = alpha_current_temp;
}
}
else
{
inc_thermal_strain = delta_t * alpha;
d_thermal_strain_d_temp = alpha;
}
_strain_increment.addDiag(-inc_thermal_strain);
_d_strain_dT.addDiag(-d_thermal_strain_d_temp);
}
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::applyVolumetricStrain()
{
const Real V0Vold = 1 / _element->volumeRatioOld(_qp);
const SubdomainID current_block = _current_elem->subdomain_id();
const std::vector<MooseSharedPointer<VolumetricModel>> & vm(_volumetric_models[current_block]);
for (unsigned int i(0); i < vm.size(); ++i)
{
vm[i]->modifyStrain(_qp, V0Vold, _strain_increment, _d_strain_dT);
}
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::rotateSymmetricTensor(const ColumnMajorMatrix & R,
const SymmTensor & T,
SymmTensor & result)
{
// R T Rt
// 00 01 02 00 01 02 00 10 20
// 10 11 12 * 10 11 12 * 01 11 21
// 20 21 22 20 21 22 02 12 22
//
const Real T00 = R(0, 0) * T.xx() + R(0, 1) * T.xy() + R(0, 2) * T.zx();
const Real T01 = R(0, 0) * T.xy() + R(0, 1) * T.yy() + R(0, 2) * T.yz();
const Real T02 = R(0, 0) * T.zx() + R(0, 1) * T.yz() + R(0, 2) * T.zz();
const Real T10 = R(1, 0) * T.xx() + R(1, 1) * T.xy() + R(1, 2) * T.zx();
const Real T11 = R(1, 0) * T.xy() + R(1, 1) * T.yy() + R(1, 2) * T.yz();
const Real T12 = R(1, 0) * T.zx() + R(1, 1) * T.yz() + R(1, 2) * T.zz();
const Real T20 = R(2, 0) * T.xx() + R(2, 1) * T.xy() + R(2, 2) * T.zx();
const Real T21 = R(2, 0) * T.xy() + R(2, 1) * T.yy() + R(2, 2) * T.yz();
const Real T22 = R(2, 0) * T.zx() + R(2, 1) * T.yz() + R(2, 2) * T.zz();
result.xx(T00 * R(0, 0) + T01 * R(0, 1) + T02 * R(0, 2));
result.yy(T10 * R(1, 0) + T11 * R(1, 1) + T12 * R(1, 2));
result.zz(T20 * R(2, 0) + T21 * R(2, 1) + T22 * R(2, 2));
result.xy(T00 * R(1, 0) + T01 * R(1, 1) + T02 * R(1, 2));
result.yz(T10 * R(2, 0) + T11 * R(2, 1) + T12 * R(2, 2));
result.zx(T00 * R(2, 0) + T01 * R(2, 1) + T02 * R(2, 2));
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::initQpStatefulProperties()
{
if (isParamValid("initial_stress"))
{
const std::vector<Real> & s = getParam<std::vector<Real>>("initial_stress");
if (6 != s.size())
{
mooseError("initial_stress must give six values");
}
_stress[_qp].fillFromInputVector(s);
}
if (_cracking_stress_function != NULL)
{
_cracking_stress = _cracking_stress_function->value(_t, _q_point[_qp]);
}
if (_cracking_stress > 0)
{
(*_crack_flags)[_qp](0) = (*_crack_flags)[_qp](1) = (*_crack_flags)[_qp](2) = 1;
if (_crack_count)
{
(*_crack_count)[_qp](0) = (*_crack_count)[_qp](1) = (*_crack_count)[_qp](2) = 0;
}
(*_crack_rotation)[_qp].identity();
}
if (_SED)
(*_SED)[_qp] = 0;
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::computeProperties()
{
if (_t_step >= 1)
_step_zero = false;
if (_t_step >= 2)
_step_one = false;
elementInit();
_element->init();
for (_qp = 0; _qp < _qrule->n_points(); ++_qp)
{
_element->computeStrain(_qp, _total_strain_old[_qp], _total_strain[_qp], _strain_increment);
_total_strain_increment = _strain_increment;
modifyStrainIncrement();
_mechanical_strain_increment = _strain_increment;
computeElasticityTensor();
if (!_constitutive_active)
computeStress();
else
computeConstitutiveModelStress();
if (_compute_JIntegral)
computeStrainEnergyDensity();
_elastic_strain[_qp] = _elastic_strain_old[_qp] + _strain_increment;
crackingStressRotation();
finalizeStress();
if (_compute_JIntegral)
computeEshelby();
if (_compute_JIntegral && _has_temp)
computeThermalJvec();
if (_compute_InteractionIntegral && _has_temp)
computeCurrentInstantaneousThermalExpansionCoefficient();
computePreconditioning();
}
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::computeStrainEnergyDensity()
{
mooseAssert(_SED, "_SED not initialized");
mooseAssert(_SED_old, "_SED_old not initialized");
(*_SED)[_qp] = (*_SED_old)[_qp] +
_stress[_qp].doubleContraction(_mechanical_strain_increment) / 2 +
_stress_old_prop[_qp].doubleContraction(_mechanical_strain_increment) / 2;
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::computeEshelby()
{
mooseAssert(_SED, "_SED not initialized");
mooseAssert(_Eshelby_tensor, "_Eshelby_tensor not initialized");
// Cauchy stress (sigma) in a colum major matrix:
ColumnMajorMatrix stress_CMM;
stress_CMM(0, 0) = _stress[_qp].xx();
stress_CMM(0, 1) = _stress[_qp].xy();
stress_CMM(0, 2) = _stress[_qp].xz();
stress_CMM(1, 0) = _stress[_qp].xy();
stress_CMM(1, 1) = _stress[_qp].yy();
stress_CMM(1, 2) = _stress[_qp].yz();
stress_CMM(2, 0) = _stress[_qp].xz();
stress_CMM(2, 1) = _stress[_qp].yz();
stress_CMM(2, 2) = _stress[_qp].zz();
// Deformation gradient (F):
ColumnMajorMatrix F;
_element->computeDeformationGradient(_qp, F);
// Displacement gradient (H):
ColumnMajorMatrix H(F);
H.addDiag(-1.0);
Real detF = _element->detMatrix(F);
ColumnMajorMatrix Finv;
_element->invertMatrix(F, Finv);
ColumnMajorMatrix FinvT;
FinvT = Finv.transpose();
ColumnMajorMatrix HT;
HT = H.transpose();
// 1st Piola-Kirchoff Stress (P):
ColumnMajorMatrix piola;
piola = stress_CMM * FinvT;
piola *= detF;
// HTP = H^T * P = H^T * detF * sigma * FinvT;
ColumnMajorMatrix HTP;
HTP = HT * piola;
ColumnMajorMatrix WI;
WI.identity();
WI *= (*_SED)[_qp];
WI *= detF;
(*_Eshelby_tensor)[_qp] = WI - HTP;
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::computeConstitutiveModelStress()
{
// Given the stretching, compute the stress increment and add it to the old stress. Also update
// the creep strain
// stress = stressOld + stressIncrement
const SubdomainID current_block = _current_elem->subdomain_id();
MooseSharedPointer<ConstitutiveModel> cm = _constitutive_model[current_block];
mooseAssert(_constitutive_active, "Logic error. ConstitutiveModel not active.");
// Let's be a little careful and check for a non-existent
// ConstitutiveModel, which could be returned as a default value
// from std::map::operator[]
if (!cm)
mooseError("Logic error. No ConstitutiveModel for current_block=", current_block, ".");
cm->setQp(_qp);
cm->computeStress(
*_current_elem, *elasticityTensor(), _stress_old, _strain_increment, _stress[_qp]);
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::computeElasticityTensor()
{
if (_cracking_stress_function != NULL)
{
_cracking_stress = _cracking_stress_function->value(_t, _q_point[_qp]);
}
_stress_old = _stress_old_prop[_qp];
bool changed = updateElasticityTensor(*_local_elasticity_tensor);
_local_elasticity_tensor->calculate(_qp);
_elasticity_tensor[_qp] = *_local_elasticity_tensor;
crackingStrainDirections();
if (changed || _cracking_stress > 0)
{
_stress_old = _elasticity_tensor[_qp] * _elastic_strain_old[_qp];
}
}
////////////////////////////////////////////////////////////////////////
bool
SolidModel::updateElasticityTensor(SymmElasticityTensor & tensor)
{
bool changed(false);
if (_constitutive_active)
{
const SubdomainID current_block = _current_elem->subdomain_id();
MooseSharedPointer<ConstitutiveModel> cm = _constitutive_model[current_block];
// Let's be a little careful and check for a non-existent
// ConstitutiveModel, which could be returned as a default value
// from std::map::operator[]
if (!cm)
mooseError("ConstitutiveModel not available for block ", current_block);
cm->setQp(_qp);
changed |= cm->updateElasticityTensor(tensor);
}
if (!changed && (_youngs_modulus_function || _poissons_ratio_function))
{
SymmIsotropicElasticityTensor * t = dynamic_cast<SymmIsotropicElasticityTensor *>(&tensor);
if (!t)
{
mooseError("Cannot use Youngs modulus or Poissons ratio functions");
}
t->unsetConstants();
Point p;
t->setYoungsModulus((_youngs_modulus_function
? _youngs_modulus_function->value(_temperature[_qp], p)
: _youngs_modulus));
t->setPoissonsRatio((_poissons_ratio_function
? _poissons_ratio_function->value(_temperature[_qp], p)
: _poissons_ratio));
changed = true;
}
return changed;
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::finalizeStress()
{
std::vector<SymmTensor *> t(3);
t[0] = &_elastic_strain[_qp];
t[1] = &_total_strain[_qp];
t[2] = &_stress[_qp];
_element->finalizeStress(t);
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::computePreconditioning()
{
mooseAssert(_local_elasticity_tensor, "null elasticity tensor");
// _Jacobian_mult[_qp] = *_local_elasticity_tensor;
// _d_stress_dT[_qp] = *_local_elasticity_tensor * _d_strain_dT;
_Jacobian_mult[_qp] = _elasticity_tensor[_qp];
_d_stress_dT[_qp] = _elasticity_tensor[_qp] * _d_strain_dT;
}
////////////////////////////////////////////////////////////////////////
void
SolidModel::initialSetup()
{
checkElasticConstants();
createElasticityTensor();
// Load in the volumetric models and constitutive models
bool set_constitutive_active = false;
for (unsigned i(0); i < _block_id.size(); ++i)
{
// const std::vector<Material*> * mats_p;
std::vector<MooseSharedPointer<Material>> const * mats_p;
std::string suffix;
if (_bnd)
{
mats_p = &_fe_problem.getMaterialWarehouse()[Moose::FACE_MATERIAL_DATA].getActiveBlockObjects(
_block_id[i], _tid);
suffix = "_face";
}
else
mats_p = &_fe_problem.getMaterialWarehouse().getActiveBlockObjects(_block_id[i], _tid);
const std::vector<MooseSharedPointer<Material>> & mats = *mats_p;
for (unsigned int j = 0; j < mats.size(); ++j)
{
MooseSharedPointer<VolumetricModel> vm =
MooseSharedNamespace::dynamic_pointer_cast<VolumetricModel>(mats[j]);
if (vm)
{
const std::vector<std::string> & dep_matl_props = vm->getDependentMaterialProperties();
for (unsigned k = 0; k < dep_matl_props.size(); ++k)
{
if ("" != dep_matl_props[k] &&
_dep_matl_props.find(dep_matl_props[k]) == _dep_matl_props.end())
{
mooseError("A VolumetricModel depends on " + dep_matl_props[k] +
", but that material property was not given in the dep_matl_props line.");
}
}
_volumetric_models[_block_id[i]].push_back(vm);
}