SLKKSMultiPhaseBase child class for the phase concentration term \( - \sum_j \frac{dF_1}{dc_1} \frac{dh_j}{d\eta_i} (c_j) \) in the the Allen-Cahn bulk residual. More...

#include <SLKKSMultiACBulkC.h>

Inheritance diagram for SLKKSMultiACBulkC:

[legend]

Public Types
typedef DerivativeMaterialPropertyNameInterface::SymbolName	SymbolName

Public Member Functions
	SLKKSMultiACBulkC (const InputParameters &parameters)

const GenericMaterialProperty< U, is_ad > &	getDefaultMaterialProperty (const std::string &name)

const GenericMaterialProperty< U, is_ad > &	getDefaultMaterialPropertyByName (const std::string &name)

void	validateDerivativeMaterialPropertyBase (const std::string &base)

const MaterialPropertyName	derivativePropertyName (const MaterialPropertyName &base, const std::vector< SymbolName > &c) const

const MaterialPropertyName	derivativePropertyNameFirst (const MaterialPropertyName &base, const SymbolName &c1) const

const MaterialPropertyName	derivativePropertyNameSecond (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2) const

const MaterialPropertyName	derivativePropertyNameThird (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2, const SymbolName &c3) const

GenericMaterialProperty< U, is_ad > &	declarePropertyDerivative (const std::string &base, const std::vector< VariableName > &c)

GenericMaterialProperty< U, is_ad > &	declarePropertyDerivative (const std::string &base, const std::vector< SymbolName > &c)

GenericMaterialProperty< U, is_ad > &	declarePropertyDerivative (const std::string &base, const SymbolName &c1, const SymbolName &c2="", const SymbolName &c3="")

GenericMaterialProperty< U, is_ad > &	declarePropertyDerivative (const std::string &base, const std::vector< VariableName > &c)

GenericMaterialProperty< U, is_ad > &	declarePropertyDerivative (const std::string &base, const std::vector< SymbolName > &c)

GenericMaterialProperty< U, is_ad > &	declarePropertyDerivative (const std::string &base, const SymbolName &c1, const SymbolName &c2="", const SymbolName &c3="")

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const std::vector< VariableName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const std::vector< SymbolName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const SymbolName &c1, const SymbolName &c2="", const SymbolName &c3="")

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const SymbolName &c1, unsigned int v2, unsigned int v3=libMesh::invalid_uint)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, unsigned int v1, unsigned int v2=libMesh::invalid_uint, unsigned int v3=libMesh::invalid_uint)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const std::vector< VariableName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const std::vector< SymbolName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const SymbolName &c1, const SymbolName &c2="", const SymbolName &c3="")

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, const SymbolName &c1, unsigned int v2, unsigned int v3=libMesh::invalid_uint)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivative (const std::string &base, unsigned int v1, unsigned int v2=libMesh::invalid_uint, unsigned int v3=libMesh::invalid_uint)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivativeByName (const MaterialPropertyName &base, const std::vector< VariableName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivativeByName (const MaterialPropertyName &base, const std::vector< SymbolName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivativeByName (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2="", const SymbolName &c3="")

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivativeByName (const MaterialPropertyName &base, const std::vector< VariableName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivativeByName (const MaterialPropertyName &base, const std::vector< SymbolName > &c)

const GenericMaterialProperty< U, is_ad > &	getMaterialPropertyDerivativeByName (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2="", const SymbolName &c3="")

void	validateCoupling (const MaterialPropertyName &base, const std::vector< VariableName > &c, bool validate_aux=true)

void	validateCoupling (const MaterialPropertyName &base, const VariableName &c1="", const VariableName &c2="", const VariableName &c3="")

void	validateCoupling (const MaterialPropertyName &base, const std::vector< VariableName > &c, bool validate_aux=true)

void	validateCoupling (const MaterialPropertyName &base, const VariableName &c1="", const VariableName &c2="", const VariableName &c3="")

void	validateNonlinearCoupling (const MaterialPropertyName &base, const VariableName &c1="", const VariableName &c2="", const VariableName &c3="")

void	validateNonlinearCoupling (const MaterialPropertyName &base, const VariableName &c1="", const VariableName &c2="", const VariableName &c3="")

const MaterialPropertyName	propertyName (const MaterialPropertyName &base, const std::vector< SymbolName > &c) const

const MaterialPropertyName	propertyName (const MaterialPropertyName &base, const std::vector< SymbolName > &c) const

const MaterialPropertyName	propertyNameFirst (const MaterialPropertyName &base, const SymbolName &c1) const

const MaterialPropertyName	propertyNameFirst (const MaterialPropertyName &base, const SymbolName &c1) const

const MaterialPropertyName	propertyNameSecond (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2) const

const MaterialPropertyName	propertyNameSecond (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2) const

const MaterialPropertyName	propertyNameThird (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2, const SymbolName &c3) const

const MaterialPropertyName	propertyNameThird (const MaterialPropertyName &base, const SymbolName &c1, const SymbolName &c2, const SymbolName &c3) const

Static Public Member Functions
static InputParameters	validParams ()

Protected Member Functions
virtual Real	precomputeQpResidual ()

virtual Real	precomputeQpJacobian ()

virtual Real	computeQpOffDiagJacobian (unsigned int jvar)

Protected Attributes
const VariableName	_c_name
	name of the coupled concentration variable c

const bool	_lagrange
	is eta_i supplied (then we assume the kernel operates on the Lagrange var)

VariableName	_etai_name
	name of order parameter that derivatives are taken w.r.t.

unsigned int	_etai_var
	index of order parameter that derivatives are taken w.r.t.

std::vector< VariableName >	_cs_names
	names of all sublattice concentrations

const MaterialProperty< Real > &	_prop_dFdc
	Derivative of the free energy function w.r.t. c.

std::vector< const MaterialProperty< Real > * >	_prop_d2Fdcdcs
	Second derivatives of F w.r.t. c and all cs.

std::vector< const MaterialProperty< Real > * >	_prop_dhdni
	first derivatives of all h w.r.t. to etai

std::vector< std::vector< const MaterialProperty< Real > * > >	_prop_d2hdnidn
	first derivatives of all h w.r.t. to the kernel variable and other etas

int	_l_cs
	Position of the c variable in the cs list.

int	_l_etai
	Position of the eta_i variable in the eta list.

const MaterialProperty< Real > &	_mob
	Mobility.

std::vector< unsigned int >	_ns
	Number of sublattices per phase.

std::vector< Real >	_a_cs
	Sublattice site numbers.

std::vector< unsigned int >	_phase
	phase index of each cs entry

const VariableValue &	_c
	Physical concentration.

const unsigned int	_c_var


const std::size_t	_ncs
	Sublattice concentrations.

std::vector< const VariableValue * >	_cs

const JvarMap &	_cs_map


const std::size_t	_neta
	Order parameters for each phase \( \eta_j \).

std::vector< VariableName >	_eta_names

const JvarMap &	_eta_map


std::vector< MaterialPropertyName >	_h_names
	Switching function names.

const std::size_t	_nh

Private Member Functions
bool	haveMaterialProperty (const std::string &prop_name)

std::vector< VariableName >	buildVariableVector (const VariableName &c1, const VariableName &c2, const VariableName &c3)

void	validateCouplingHelper (const MaterialPropertyName &base, const std::vector< VariableName > &c, const System &system, std::vector< VariableName > &missing)

bool	isNotObjectVariable (const VariableName &name)

Private Attributes
FEProblemBase &	_dmi_fe_problem

Detailed Description

SLKKSMultiPhaseBase child class for the phase concentration term \( - \sum_j \frac{dF_1}{dc_1} \frac{dh_j}{d\eta_i} (c_j) \) in the the Allen-Cahn bulk residual.

D. Schwen et al. https://doi.org/10.1016/j.commatsci.2021.110466

The non-linear variable for this Kernel is the order parameter 'eta_i'.

Definition at line 22 of file SLKKSMultiACBulkC.h.

Constructor & Destructor Documentation

◆ SLKKSMultiACBulkC()

SLKKSMultiACBulkC::SLKKSMultiACBulkC ( const InputParameters & parameters )

Definition at line 30 of file SLKKSMultiACBulkC.C.

  : SLKKSMultiPhaseBase(parameters),
    _c_name(coupledName("c", 0)),
    _lagrange(isCoupled("eta_i")),
    _etai_name(_lagrange ? coupledName("eta_i", 0) : _var.name()),
    _etai_var(_lagrange ? coupled("eta_i") : _var.number()),
    _cs_names(_ncs),
    _prop_dFdc(getMaterialPropertyDerivative<Real>("F", _c_name)),
    _prop_d2Fdcdcs(_ncs),
    _prop_dhdni(_nh),
    _prop_d2hdnidn(_nh),
    _l_cs(-1),
    _l_etai(-1),
    _mob(getMaterialProperty<Real>("mob_name"))
{
  // Determine position of the selected concentration variable
  for (std::size_t i = 0; i < _ncs; ++i)
  {
    _cs_names[i] = coupledName("cs", i);
    if (coupled("cs", i) == _c_var)
      _l_cs = i;
  }
 
  // Check to make sure the nonlinear variable is in the cs list
  if (_l_cs < 0)
    paramError("cs", "One of the listed variables must be the 'c' variable");
 
  // Determine position of the selected concentration variable
  for (std::size_t i = 0; i < _neta; ++i)
    if (coupled("eta", i) == _etai_var)
      _l_etai = i;
 
  // Check to make sure the nonlinear variable or eta_i (if supplied) is in the eta list
  if (_l_etai < 0)
    paramError("eta_i",
               "Either eta_i or the kernel variable must be one of the listed 'eta' variables");
 
  // Iterate over all sublattice concentrations
  for (std::size_t i = 0; i < _ncs; ++i)
    // get second partial derivatives w.r.t. c and cs (only if c and cs are in the same phase)
    _prop_d2Fdcdcs[i] = (_phase[i] == _phase[_l_cs])
                            ? &getMaterialPropertyDerivative<Real>("F", _c_name, _cs_names[i])
                            : nullptr;
 
  // fetch all switching function derivatives
  for (std::size_t i = 0; i < _nh; ++i)
  {
    _prop_dhdni[i] = &getMaterialPropertyDerivativeByName<Real>(_h_names[i], _etai_name);
 
    _prop_d2hdnidn[i].resize(_neta);
    for (std::size_t j = 0; j < _neta; ++j)
      _prop_d2hdnidn[i][j] =
          &getMaterialPropertyDerivativeByName<Real>(_h_names[i], _etai_name, _eta_names[j]);
  }
}

Member Function Documentation

◆ computeQpOffDiagJacobian()

Real SLKKSMultiACBulkC::computeQpOffDiagJacobian ( unsigned int jvar )

protectedvirtual

Definition at line 132 of file SLKKSMultiACBulkC.C.

{
  // concentration variables
  auto csvar = mapJvarToCvar(jvar, _cs_map);
  if (csvar >= 0)
  {
    // does F depend on the csvar? if so we need to apply the product rule
    if (_phase[csvar] == _phase[_l_cs])
    {
      // sum over phases
      std::size_t k = 0;
      Real sum = 0.0;
      for (std::size_t i = 0; i < _nh; ++i)
      {
        // sum sublattice concentrations
        Real csum = 0.0;
        for (unsigned int j = 0; j < _ns[i]; ++j)
        {
          csum += (*_cs[k])[_qp] * _a_cs[k];
          k++;
        }
        sum += (*_prop_dhdni[i])[_qp] * csum;
      }
 
      return -_mob[_qp] *
             ((*_prop_d2Fdcdcs[csvar])[_qp] * sum +
              _prop_dFdc[_qp] * (*_prop_dhdni[_phase[csvar]])[_qp] * _a_cs[csvar]) /
             _a_cs[_l_cs] * _phi[_j][_qp] * _test[_i][_qp];
    }
 
    return -_mob[_qp] * _prop_dFdc[_qp] / _a_cs[_l_cs] * (*_prop_dhdni[_phase[csvar]])[_qp] *
           _a_cs[csvar] * _phi[_j][_qp] * _test[_i][_qp];
  }
 
  // order parameters
  auto etavar = mapJvarToCvar(jvar, _eta_map);
  if (etavar >= 0)
  {
    // sum over phases
    std::size_t k = 0;
    Real sum = 0.0;
    for (std::size_t i = 0; i < _nh; ++i)
    {
      // sum sublattice concentrations
      Real csum = 0.0;
      for (unsigned int j = 0; j < _ns[i]; ++j)
      {
        csum += (*_cs[k])[_qp] * _a_cs[k];
        k++;
      }
      sum += (*_prop_d2hdnidn[i][etavar])[_qp] * csum;
    }
 
    return -_mob[_qp] * _prop_dFdc[_qp] / _a_cs[_l_cs] * sum * _phi[_j][_qp] * _test[_i][_qp];
  }
 
  return 0.0;
}

◆ precomputeQpJacobian()

Real SLKKSMultiACBulkC::precomputeQpJacobian ( )

protectedvirtual

Definition at line 107 of file SLKKSMultiACBulkC.C.

{
  // For when this kernel is used in the Lagrange multiplier equation
  if (_lagrange)
    return 0.0;
 
  // For when eta_i is the nonlinear variable
  std::size_t k = 0;
  Real sum = 0.0;
  for (std::size_t i = 0; i < _nh; ++i)
  {
    // sum sublattice concentrations
    Real csum = 0.0;
    for (unsigned int j = 0; j < _ns[i]; ++j)
    {
      csum += (*_cs[k])[_qp] * _a_cs[k];
      k++;
    }
    sum += (*_prop_d2hdnidn[i][_l_etai])[_qp] * csum;
  }
 
  return -_mob[_qp] * _phi[_j][_qp] * _prop_dFdc[_qp] / _a_cs[_l_cs] * sum;
}

◆ precomputeQpResidual()

Real SLKKSMultiACBulkC::precomputeQpResidual ( )

protectedvirtual

Definition at line 87 of file SLKKSMultiACBulkC.C.

{ // sum over phases
  std::size_t k = 0;
  Real sum = 0.0;
  for (std::size_t i = 0; i < _nh; ++i)
  {
    // sum sublattice concentrations
    Real csum = 0.0;
    for (unsigned int j = 0; j < _ns[i]; ++j)
    {
      csum += (*_cs[k])[_qp] * _a_cs[k];
      k++;
    }
    sum += (*_prop_dhdni[i])[_qp] * csum;
  }
 
  return -_mob[_qp] * _prop_dFdc[_qp] / _a_cs[_l_cs] * sum;
}

◆ validParams()

InputParameters SLKKSMultiACBulkC::validParams ( )

static

Definition at line 15 of file SLKKSMultiACBulkC.C.

{
  auto params = SLKKSMultiPhaseBase::validParams();
  params.addClassDescription("Multi-phase SLKKS model kernel for the bulk Allen-Cahn. "
                             "This includes all terms dependent on chemical potential.");
  params.addRequiredParam<MaterialPropertyName>(
      "F", "Phase free energy function that is a function of 'c'");
  params.addRequiredCoupledVar("c", "Concentration variable F depends on");
  params.addCoupledVar("eta_i",
                       "Order parameter that derivatives are taken with respect to (kernel "
                       "variable is used if this is not specified)");
  params.addParam<MaterialPropertyName>("mob_name", "L", "The mobility used with the kernel");
  return params;
}

Member Data Documentation

◆ _a_cs

std::vector<Real> SLKKSMultiPhaseBase::_a_cs

protectedinherited

Sublattice site numbers.

Definition at line 46 of file SLKKSMultiPhaseBase.h.

Referenced by computeQpOffDiagJacobian(), SLKKSMultiPhaseConcentration::computeQpOffDiagJacobian(), precomputeQpJacobian(), SLKKSMultiPhaseConcentration::precomputeQpJacobian(), precomputeQpResidual(), SLKKSMultiPhaseConcentration::precomputeQpResidual(), and SLKKSMultiPhaseBase::SLKKSMultiPhaseBase().

◆ _c

const VariableValue& SLKKSMultiPhaseBase::_c

protectedinherited

Physical concentration.

Definition at line 57 of file SLKKSMultiPhaseBase.h.

Referenced by SLKKSMultiPhaseConcentration::precomputeQpResidual().

◆ _c_name

const VariableName SLKKSMultiACBulkC::_c_name

protected

name of the coupled concentration variable c

Definition at line 35 of file SLKKSMultiACBulkC.h.

Referenced by SLKKSMultiACBulkC().

◆ _c_var

const unsigned int SLKKSMultiPhaseBase::_c_var

protectedinherited

Definition at line 58 of file SLKKSMultiPhaseBase.h.

Referenced by SLKKSMultiPhaseConcentration::computeQpOffDiagJacobian(), and SLKKSMultiACBulkC().

◆ _cs

std::vector<const VariableValue *> SLKKSMultiPhaseBase::_cs

protectedinherited

Definition at line 32 of file SLKKSMultiPhaseBase.h.

Referenced by computeQpOffDiagJacobian(), SLKKSMultiPhaseConcentration::computeQpOffDiagJacobian(), precomputeQpJacobian(), precomputeQpResidual(), SLKKSMultiPhaseConcentration::precomputeQpResidual(), and SLKKSMultiPhaseBase::SLKKSMultiPhaseBase().

◆ _cs_map

const JvarMap& SLKKSMultiPhaseBase::_cs_map

protectedinherited

Definition at line 33 of file SLKKSMultiPhaseBase.h.

Referenced by computeQpOffDiagJacobian(), and SLKKSMultiPhaseConcentration::computeQpOffDiagJacobian().

◆ _cs_names

std::vector<VariableName> SLKKSMultiACBulkC::_cs_names

protected

names of all sublattice concentrations

Definition at line 47 of file SLKKSMultiACBulkC.h.

Referenced by SLKKSMultiACBulkC().

◆ _eta_map

const JvarMap& SLKKSMultiPhaseBase::_eta_map

protectedinherited

Definition at line 42 of file SLKKSMultiPhaseBase.h.

Referenced by computeQpOffDiagJacobian(), and SLKKSMultiPhaseConcentration::computeQpOffDiagJacobian().

◆ _eta_names

std::vector<VariableName> SLKKSMultiPhaseBase::_eta_names

protectedinherited

Definition at line 41 of file SLKKSMultiPhaseBase.h.

Referenced by SLKKSMultiACBulkC(), SLKKSMultiPhaseBase::SLKKSMultiPhaseBase(), and SLKKSMultiPhaseConcentration::SLKKSMultiPhaseConcentration().

◆ _etai_name

VariableName SLKKSMultiACBulkC::_etai_name

protected

name of order parameter that derivatives are taken w.r.t.

Definition at line 41 of file SLKKSMultiACBulkC.h.

Referenced by SLKKSMultiACBulkC().

◆ _etai_var

unsigned int SLKKSMultiACBulkC::_etai_var

protected

index of order parameter that derivatives are taken w.r.t.

Definition at line 44 of file SLKKSMultiACBulkC.h.

Referenced by SLKKSMultiACBulkC().

◆ _h_names

std::vector<MaterialPropertyName> SLKKSMultiPhaseBase::_h_names

protectedinherited

Switching function names.

Definition at line 49 of file SLKKSMultiPhaseBase.h.

Referenced by SLKKSMultiACBulkC(), and SLKKSMultiPhaseConcentration::SLKKSMultiPhaseConcentration().

◆ _l_cs

int SLKKSMultiACBulkC::_l_cs

protected

Position of the c variable in the cs list.

Definition at line 62 of file SLKKSMultiACBulkC.h.

Referenced by computeQpOffDiagJacobian(), precomputeQpJacobian(), precomputeQpResidual(), and SLKKSMultiACBulkC().

◆ _l_etai

int SLKKSMultiACBulkC::_l_etai

protected

Position of the eta_i variable in the eta list.

Definition at line 65 of file SLKKSMultiACBulkC.h.

Referenced by precomputeQpJacobian(), and SLKKSMultiACBulkC().

◆ _lagrange

const bool SLKKSMultiACBulkC::_lagrange

protected

is eta_i supplied (then we assume the kernel operates on the Lagrange var)

Definition at line 38 of file SLKKSMultiACBulkC.h.

Referenced by precomputeQpJacobian().

◆ _mob

const MaterialProperty<Real>& SLKKSMultiACBulkC::_mob

protected

Mobility.

Definition at line 68 of file SLKKSMultiACBulkC.h.

Referenced by computeQpOffDiagJacobian(), precomputeQpJacobian(), and precomputeQpResidual().

◆ _ncs

const std::size_t SLKKSMultiPhaseBase::_ncs

protectedinherited

Sublattice concentrations.

Definition at line 31 of file SLKKSMultiPhaseBase.h.

Referenced by SLKKSMultiPhaseConcentration::computeQpOffDiagJacobian(), SLKKSMultiACBulkC(), SLKKSMultiPhaseBase::SLKKSMultiPhaseBase(), and SLKKSMultiPhaseConcentration::SLKKSMultiPhaseConcentration().

◆ _neta

const std::size_t SLKKSMultiPhaseBase::_neta

protectedinherited

Order parameters for each phase \( \eta_j \).

Definition at line 40 of file SLKKSMultiPhaseBase.h.

Referenced by SLKKSMultiACBulkC(), SLKKSMultiPhaseBase::SLKKSMultiPhaseBase(), and SLKKSMultiPhaseConcentration::SLKKSMultiPhaseConcentration().

◆ _nh

const std::size_t SLKKSMultiPhaseBase::_nh

protectedinherited

Definition at line 50 of file SLKKSMultiPhaseBase.h.

Referenced by computeQpOffDiagJacobian(), precomputeQpJacobian(), precomputeQpResidual(), SLKKSMultiPhaseConcentration::precomputeQpResidual(), SLKKSMultiACBulkC(), SLKKSMultiPhaseBase::SLKKSMultiPhaseBase(), and SLKKSMultiPhaseConcentration::SLKKSMultiPhaseConcentration().

◆ _ns

std::vector<unsigned int> SLKKSMultiPhaseBase::_ns

protectedinherited

Number of sublattices per phase.

Definition at line 37 of file SLKKSMultiPhaseBase.h.

Referenced by computeQpOffDiagJacobian(), precomputeQpJacobian(), precomputeQpResidual(), SLKKSMultiPhaseConcentration::precomputeQpResidual(), and SLKKSMultiPhaseBase::SLKKSMultiPhaseBase().

◆ _phase

std::vector<unsigned int> SLKKSMultiPhaseBase::_phase

protectedinherited

phase index of each cs entry

Definition at line 54 of file SLKKSMultiPhaseBase.h.

Referenced by computeQpOffDiagJacobian(), SLKKSMultiPhaseConcentration::computeQpOffDiagJacobian(), SLKKSMultiPhaseConcentration::precomputeQpJacobian(), SLKKSMultiACBulkC(), and SLKKSMultiPhaseBase::SLKKSMultiPhaseBase().

◆ _prop_d2Fdcdcs

std::vector<const MaterialProperty<Real> *> SLKKSMultiACBulkC::_prop_d2Fdcdcs

protected

Second derivatives of F w.r.t. c and all cs.

Definition at line 53 of file SLKKSMultiACBulkC.h.

Referenced by computeQpOffDiagJacobian(), and SLKKSMultiACBulkC().

◆ _prop_d2hdnidn

std::vector<std::vector<const MaterialProperty<Real> *> > SLKKSMultiACBulkC::_prop_d2hdnidn

protected

first derivatives of all h w.r.t. to the kernel variable and other etas

Definition at line 59 of file SLKKSMultiACBulkC.h.

Referenced by computeQpOffDiagJacobian(), precomputeQpJacobian(), and SLKKSMultiACBulkC().

◆ _prop_dFdc

const MaterialProperty<Real>& SLKKSMultiACBulkC::_prop_dFdc

protected

Derivative of the free energy function w.r.t. c.

Definition at line 50 of file SLKKSMultiACBulkC.h.

Referenced by computeQpOffDiagJacobian(), precomputeQpJacobian(), and precomputeQpResidual().

◆ _prop_dhdni

std::vector<const MaterialProperty<Real> *> SLKKSMultiACBulkC::_prop_dhdni

protected

first derivatives of all h w.r.t. to etai

Definition at line 56 of file SLKKSMultiACBulkC.h.

Referenced by computeQpOffDiagJacobian(), precomputeQpResidual(), and SLKKSMultiACBulkC().

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

phase_field/include/kernels/SLKKSMultiACBulkC.h
phase_field/src/kernels/SLKKSMultiACBulkC.C

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ SLKKSMultiACBulkC()

Member Function Documentation

◆ computeQpOffDiagJacobian()

◆ precomputeQpJacobian()

◆ precomputeQpResidual()

◆ validParams()

Member Data Documentation

◆ _a_cs

◆ _c

◆ _c_name

◆ _c_var

◆ _cs

◆ _cs_map

◆ _cs_names

◆ _eta_map

◆ _eta_names

◆ _etai_name

◆ _etai_var

◆ _h_names

◆ _l_cs

◆ _l_etai

◆ _lagrange

◆ _mob

◆ _ncs

◆ _neta

◆ _nh

◆ _ns

◆ _phase

◆ _prop_d2Fdcdcs

◆ _prop_d2hdnidn

◆ _prop_dFdc

◆ _prop_dhdni