ComputeLayeredCosseratElasticityTensor Class Reference

ComputeLayeredCosseratElasticityTensor defines an elasticity tensor and an elastic flexural rigidity tensor for use in simulations with layered Cosserat materials. More...

#include <ComputeLayeredCosseratElasticityTensor.h>

Inheritance diagram for ComputeLayeredCosseratElasticityTensor:

Public Member Functions
	ComputeLayeredCosseratElasticityTensor (const InputParameters &parameters)
bool	hasGuarantee (const MaterialPropertyName &prop_name, Guarantee guarantee)

Protected Member Functions
virtual void	computeQpElasticityTensor ()
virtual void	computeQpProperties ()
void	issueGuarantee (const MaterialPropertyName &prop_name, Guarantee guarantee)
void	revokeGuarantee (const MaterialPropertyName &prop_name, Guarantee guarantee)

Protected Attributes
RankFourTensor	_Eijkl
	Conventional elasticity tensor. More...
RankFourTensor	_Bijkl
	Flexural rigidity tensor. More...
RankFourTensor	_Cijkl
	Inverse of elasticity tensor. More...
MaterialProperty< RankFourTensor > &	_elastic_flexural_rigidity_tensor
	Flexural rigidity tensor at the qps. More...
MaterialProperty< RankFourTensor > &	_compliance
	Compliance tensor (_Eijkl^-1) at the qps. More...
std::string	_base_name
std::string	_elasticity_tensor_name
MaterialProperty< RankFourTensor > &	_elasticity_tensor
Function *const	_prefactor_function
	prefactor function to multiply the elasticity tensor with More...

Detailed Description

ComputeLayeredCosseratElasticityTensor defines an elasticity tensor and an elastic flexural rigidity tensor for use in simulations with layered Cosserat materials.

The layering direction is assumed to be in the "z" direction.

Definition at line 27 of file ComputeLayeredCosseratElasticityTensor.h.

Constructor & Destructor Documentation

ComputeLayeredCosseratElasticityTensor()

ComputeLayeredCosseratElasticityTensor::ComputeLayeredCosseratElasticityTensor

(

const InputParameters &

parameters

)

Definition at line 36 of file ComputeLayeredCosseratElasticityTensor.C.

  : ComputeElasticityTensorBase(parameters),
    _Eijkl(RankFourTensor()),
    _Bijkl(RankFourTensor()),
    _Cijkl(RankFourTensor()),
    _elastic_flexural_rigidity_tensor(
        declareProperty<RankFourTensor>("elastic_flexural_rigidity_tensor")),
    _compliance(declareProperty<RankFourTensor>(_base_name + "compliance_tensor"))
{
  if (!isParamValid("elasticity_tensor_prefactor"))
    issueGuarantee(_elasticity_tensor_name, Guarantee::CONSTANT_IN_TIME);

  const Real E = getParam<Real>("young");
  const Real nu = getParam<Real>("poisson");
  const Real b = getParam<Real>("layer_thickness");
  const Real kn = getParam<Real>("joint_normal_stiffness");
  const Real ks = getParam<Real>("joint_shear_stiffness");

  // shear modulus of solid
  const Real G = 0.5 * E / (1.0 + nu);
  // shear modulus of jointed material
  const Real Gprime = G * b * ks / (b * ks + G);

  const Real a0000 =
      (b * kn > 0.0)
          ? E / (1.0 - nu * nu - Utility::pow<2>(nu * (1.0 + nu)) / (1.0 - nu * nu + E / b / kn))
          : E / (1.0 - nu * nu);
  const Real a0011 = nu * a0000 / (1.0 - nu);
  const Real a2222 =
      (b * kn > 0.0) ? 1.0 / ((1.0 + nu) * (1.0 - 2.0 * nu) / E / (1.0 - nu) + 1.0 / b / kn) : 0.0;
  const Real a0022 = nu * a2222 / (1.0 - nu);
  const Real a0101 = G;
  const Real a66 = Gprime;
  const Real a77 = 0.5 * (G + Gprime);

  // Eijkl does not obey the usual symmetries, viz Eijkl != Ejikl, so must fill manually
  _Eijkl(0, 0, 0, 0) = _Eijkl(1, 1, 1, 1) = a0000;
  _Eijkl(0, 0, 1, 1) = _Eijkl(1, 1, 0, 0) = a0011;
  _Eijkl(2, 2, 2, 2) = a2222;
  _Eijkl(0, 0, 2, 2) = _Eijkl(1, 1, 2, 2) = _Eijkl(2, 2, 0, 0) = _Eijkl(2, 2, 1, 1) = a0022;
  _Eijkl(0, 1, 0, 1) = _Eijkl(0, 1, 1, 0) = _Eijkl(1, 0, 0, 1) = _Eijkl(1, 0, 1, 0) = a0101;
  _Eijkl(0, 2, 0, 2) = _Eijkl(0, 2, 2, 0) = _Eijkl(2, 0, 0, 2) = _Eijkl(1, 2, 1, 2) =
      _Eijkl(1, 2, 2, 1) = _Eijkl(2, 1, 1, 2) = a66;
  _Eijkl(2, 0, 2, 0) = _Eijkl(2, 1, 2, 1) = a77;

  // most of Bijkl is zero since the only nonzero moment stresses are m01 and m10.
  // It also does not have the usual symmetries.
  const Real D0 = E * Utility::pow<3>(b) / 12.0 / (1.0 - nu * nu); // bending rigidity of a layer
  const Real b0101 = D0 / b * G / (2.0 * b * ks + G);
  const Real b0110 = -nu * b0101;
  _Bijkl(0, 1, 0, 1) = _Bijkl(1, 0, 1, 0) = b0101;
  _Bijkl(0, 1, 1, 0) = _Bijkl(1, 0, 0, 1) = b0110;

  // The compliance tensor also does not obey the usual symmetries, and
  // this is the main reason it is calculated here, since we can't use
  // _Eijkl.invSymm()
  const Real pre = (nu - 1.0) / (a0000 * (nu - 1.0) + 2.0 * a2222 * Utility::pow<2>(nu));
  const Real cp0000 =
      ((a2222 - a0000) * nu * nu + 2.0 * a0000 * nu - a0000) / (2.0 * a0000 * nu - a0000);
  const Real cp0011 = -((a0000 + a2222) * nu * nu - a0000 * nu) / (2.0 * a0000 * nu - a0000);
  _Cijkl(0, 0, 0, 0) = _Cijkl(1, 1, 1, 1) = pre * cp0000;
  _Cijkl(0, 0, 1, 1) = _Cijkl(1, 1, 0, 0) = pre * cp0011;
  _Cijkl(2, 2, 2, 2) = pre * a0000 / a2222;
  _Cijkl(0, 0, 2, 2) = _Cijkl(1, 1, 2, 2) = _Cijkl(2, 2, 0, 0) = _Cijkl(2, 2, 1, 1) = -nu * pre;
  _Cijkl(0, 1, 0, 1) = _Cijkl(0, 1, 1, 0) = _Cijkl(1, 0, 0, 1) = _Cijkl(1, 0, 1, 0) = 0.25 / a0101;
  const Real slip = 2.0 / (G - Gprime);
  _Cijkl(0, 2, 2, 0) = _Cijkl(2, 0, 0, 2) = _Cijkl(1, 2, 2, 1) = _Cijkl(2, 1, 1, 2) = -slip;
  _Cijkl(0, 2, 0, 2) = _Cijkl(1, 2, 1, 2) = (G + Gprime) * slip / 2.0 / Gprime;
  _Cijkl(2, 0, 2, 0) = _Cijkl(2, 1, 2, 1) = slip;
}

Member Function Documentation

computeQpElasticityTensor()

void ComputeLayeredCosseratElasticityTensor::computeQpElasticityTensor ( )

protectedvirtual

Implements ComputeElasticityTensorBase.

Definition at line 109 of file ComputeLayeredCosseratElasticityTensor.C.

{
  _elasticity_tensor[_qp] = _Eijkl;
  _elastic_flexural_rigidity_tensor[_qp] = _Bijkl;
  _compliance[_qp] = _Cijkl;

  if (_prefactor_function)
    _compliance[_qp] /= _prefactor_function->value(_t, _q_point[_qp]);
}

computeQpProperties()

void ComputeElasticityTensorBase::computeQpProperties ( )

protectedvirtualinherited

Definition at line 41 of file ComputeElasticityTensorBase.C.

{
  computeQpElasticityTensor();

  // Multiply by prefactor
  if (_prefactor_function)
    _elasticity_tensor[_qp] *= _prefactor_function->value(_t, _q_point[_qp]);
}

hasGuarantee()

bool GuaranteeProvider::hasGuarantee ( const MaterialPropertyName &  prop_name, Guarantee  guarantee  )

inherited

Definition at line 16 of file GuaranteeProvider.C.

{
  auto it = _guarantees.find(prop_name);
  if (it == _guarantees.end())
    return false;

  auto it2 = it->second.find(guarantee);
  return it2 != it->second.end();
}

issueGuarantee()

void GuaranteeProvider::issueGuarantee ( const MaterialPropertyName &  prop_name, Guarantee  guarantee  )

protectedinherited

Definition at line 27 of file GuaranteeProvider.C.

Referenced by ADComputeVariableIsotropicElasticityTensor< compute_stage >::ADComputeVariableIsotropicElasticityTensor(), ComputeCosseratElasticityTensor::ComputeCosseratElasticityTensor(), ComputeElasticityTensor::ComputeElasticityTensor(), ComputeIsotropicElasticityTensor::ComputeIsotropicElasticityTensor(), ComputeLayeredCosseratElasticityTensor(), ComputeVariableIsotropicElasticityTensor::ComputeVariableIsotropicElasticityTensor(), GeneralizedKelvinVoigtModel::GeneralizedKelvinVoigtModel(), and GeneralizedMaxwellModel::GeneralizedMaxwellModel().

{
  // intentional insertion
  _guarantees[prop_name].insert(guarantee);
}

revokeGuarantee()

void GuaranteeProvider::revokeGuarantee ( const MaterialPropertyName &  prop_name, Guarantee  guarantee  )

protectedinherited

Definition at line 34 of file GuaranteeProvider.C.

Referenced by ComputeElasticityTensorCP::ComputeElasticityTensorCP().

{
  auto it = _guarantees.find(prop_name);
  if (it != _guarantees.end())
    it->second.erase(guarantee);
}

Member Data Documentation

_base_name

std::string ComputeElasticityTensorBase::_base_name

protectedinherited

Definition at line 36 of file ComputeElasticityTensorBase.h.

Referenced by LinearViscoelasticityBase::declareViscoelasticProperties(), and LinearViscoelasticityBase::LinearViscoelasticityBase().

_Bijkl

RankFourTensor ComputeLayeredCosseratElasticityTensor::_Bijkl

protected

Flexural rigidity tensor.

Definition at line 39 of file ComputeLayeredCosseratElasticityTensor.h.

Referenced by ComputeLayeredCosseratElasticityTensor(), and computeQpElasticityTensor().

_Cijkl

RankFourTensor ComputeLayeredCosseratElasticityTensor::_Cijkl

protected

Inverse of elasticity tensor.

The usual _Eijkl.invSymm() cannot be used here as _Eijkl does not possess the usual symmetries

Definition at line 46 of file ComputeLayeredCosseratElasticityTensor.h.

Referenced by ComputeLayeredCosseratElasticityTensor(), and computeQpElasticityTensor().

_compliance

MaterialProperty<RankFourTensor>& ComputeLayeredCosseratElasticityTensor::_compliance

protected

Compliance tensor (_Eijkl^-1) at the qps.

Definition at line 52 of file ComputeLayeredCosseratElasticityTensor.h.

Referenced by computeQpElasticityTensor().

_Eijkl

RankFourTensor ComputeLayeredCosseratElasticityTensor::_Eijkl

protected

Conventional elasticity tensor.

Definition at line 36 of file ComputeLayeredCosseratElasticityTensor.h.

Referenced by ComputeLayeredCosseratElasticityTensor(), and computeQpElasticityTensor().

_elastic_flexural_rigidity_tensor

MaterialProperty<RankFourTensor>& ComputeLayeredCosseratElasticityTensor::_elastic_flexural_rigidity_tensor

protected

Flexural rigidity tensor at the qps.

Definition at line 49 of file ComputeLayeredCosseratElasticityTensor.h.

Referenced by computeQpElasticityTensor().

_elasticity_tensor

MaterialProperty<RankFourTensor>& ComputeElasticityTensorBase::_elasticity_tensor

protectedinherited

Definition at line 39 of file ComputeElasticityTensorBase.h.

Referenced by GeneralizedKelvinVoigtBase::computeQpApparentCreepStrain(), GeneralizedMaxwellBase::computeQpApparentCreepStrain(), GeneralizedKelvinVoigtBase::computeQpApparentElasticityTensors(), GeneralizedMaxwellBase::computeQpApparentElasticityTensors(), ComputeCosseratElasticityTensor::computeQpElasticityTensor(), ComputeElasticityTensor::computeQpElasticityTensor(), ComputeConcentrationDependentElasticityTensor::computeQpElasticityTensor(), ComputeIsotropicElasticityTensor::computeQpElasticityTensor(), ComputePolycrystalElasticityTensor::computeQpElasticityTensor(), ComputeElasticityTensorCP::computeQpElasticityTensor(), ComputeVariableIsotropicElasticityTensor::computeQpElasticityTensor(), computeQpElasticityTensor(), and ComputeElasticityTensorBase::computeQpProperties().

_elasticity_tensor_name

std::string ComputeElasticityTensorBase::_elasticity_tensor_name

protectedinherited

Definition at line 37 of file ComputeElasticityTensorBase.h.

Referenced by ComputeCosseratElasticityTensor::ComputeCosseratElasticityTensor(), ComputeElasticityTensor::ComputeElasticityTensor(), ComputeElasticityTensorCP::ComputeElasticityTensorCP(), ComputeIsotropicElasticityTensor::ComputeIsotropicElasticityTensor(), ComputeLayeredCosseratElasticityTensor(), ComputePolycrystalElasticityTensor::ComputePolycrystalElasticityTensor(), ComputeVariableIsotropicElasticityTensor::ComputeVariableIsotropicElasticityTensor(), GeneralizedKelvinVoigtModel::GeneralizedKelvinVoigtModel(), GeneralizedMaxwellModel::GeneralizedMaxwellModel(), ComputeVariableIsotropicElasticityTensor::initialSetup(), and LinearViscoelasticityBase::LinearViscoelasticityBase().

_prefactor_function

Function* const ComputeElasticityTensorBase::_prefactor_function

protectedinherited

prefactor function to multiply the elasticity tensor with

Definition at line 42 of file ComputeElasticityTensorBase.h.

Referenced by computeQpElasticityTensor(), and ComputeElasticityTensorBase::computeQpProperties().

---

The documentation for this class was generated from the following files:

• tensor_mechanics/include/materials/ComputeLayeredCosseratElasticityTensor.h
• tensor_mechanics/src/materials/ComputeLayeredCosseratElasticityTensor.C