KKSACBulkBase child class for the phase concentration difference term \( \frac{dh}{d\eta}\frac{\partial F_a}{\partial c_a}(c_a-c_b) \) in the the Allen-Cahn bulk residual. More...

#include <NestedKKSACBulkC.h>

Inheritance diagram for NestedKKSACBulkC:

[legend]

Public Types
typedef DerivativeMaterialPropertyNameInterface::SymbolName	SymbolName

Public Member Functions
	NestedKKSACBulkC (const InputParameters &parameters)

virtual void	initialSetup ()

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 Types
enum	PFFunctionType

Protected Member Functions
virtual Real	computeDFDOP (PFFunctionType type)

virtual Real	computeQpOffDiagJacobian (unsigned int jvar)

virtual Real	precomputeQpResidual ()

virtual Real	precomputeQpJacobian ()

virtual Real	computeDFDOP (PFFunctionType type)=0

Protected Attributes
std::vector< VariableName >	_c_names
	Global concentrations.

const JvarMap &	_c_map

const unsigned int	_num_c
	Number of global concentrations.

const std::vector< MaterialPropertyName >	_ci_names
	Phase concentrations.

std::vector< std::vector< const MaterialProperty< Real > * > >	_prop_ci
	Phase concentration properties.

std::vector< std::vector< const MaterialProperty< Real > * > >	_dcideta
	Derivative of phase concentrations wrt eta \( \frac d{d{eta}} c_i \).

std::vector< std::vector< std::vector< const MaterialProperty< Real > * > > >	_dcidb
	Derivative of phase concentrations wrt global concentrations \( \frac d{db} c_i \).

const MaterialPropertyName	_Fa_name
	Free energy of phase a.

std::vector< const MaterialProperty< Real > * >	_dFadca
	Derivative of the free energy function \( \frac d{dc_a} F_a \).

std::vector< std::vector< const MaterialProperty< Real > * > >	_d2Fadcadba
	Second derivative of the free energy function \( \frac {d^2}{dc_a db_a} F_a \).

std::vector< std::vector< const MaterialProperty< Real > * > >	_d2Fadcadarg
	Mixed partial derivatives of the free energy function wrt c and any other coupled variables \( \frac {d^2}{dc_a dq} F_a \).

VariableName	_eta_name
	name of the order parameter (needed to retrieve the derivative material properties)

std::vector< const MaterialProperty< Real > * >	_derivatives_Fa
	Derivatives of \( F_a \) with respect to all coupled variables.

std::vector< const MaterialProperty< Real > * >	_derivatives_Fb
	Derivatives of \( F_b \) with respect to all coupled variables.

const MaterialProperty< Real > &	_prop_Fa
	Value of the free energy function \( F_a \).

const MaterialProperty< Real > &	_prop_dFa
	Derivative of the free energy function \( \frac d{d\eta} F_a \).

const MaterialProperty< Real > &	_prop_dh
	Derivative of the switching function \( \frac d{d\eta} h(\eta) \).

const MaterialProperty< Real > &	_prop_d2h
	Second derivative of the switching function \( \frac {d^2}{d\eta^2} h(\eta) \).

std::vector< const VariableGradient * >	_grad_args
	Gradients for all coupled variables.

const MaterialProperty< Real > &	_L
	Mobility.

const MaterialProperty< Real > &	_dLdop
	Mobility derivative w.r.t. order parameter.

std::vector< const MaterialProperty< Real > * >	_dLdarg
	Mobility derivative w.r.t coupled variables.

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

KKSACBulkBase child class for the phase concentration difference term \( \frac{dh}{d\eta}\frac{\partial F_a}{\partial c_a}(c_a-c_b) \) in the the Allen-Cahn bulk residual.

Definition at line 19 of file NestedKKSACBulkC.h.

Member Enumeration Documentation

◆ PFFunctionType

enum ACBulk::PFFunctionType

protectedinherited

Definition at line 37 of file ACBulk.h.

  {
    Jacobian,
    Residual
  };

Constructor & Destructor Documentation

◆ NestedKKSACBulkC()

NestedKKSACBulkC::NestedKKSACBulkC ( const InputParameters & parameters )

Definition at line 28 of file NestedKKSACBulkC.C.

  : KKSACBulkBase(parameters),
    _c_names(coupledNames("global_cs")),
    _c_map(getParameterJvarMap("global_cs")),
    _num_c(coupledComponents("global_cs")),
    _ci_names(getParam<std::vector<MaterialPropertyName>>("ci_names")),
    _prop_ci(_num_c),
    _dcideta(_num_c * 2),
    _dcidb(_num_c * 2),
    _Fa_name(getParam<MaterialPropertyName>("fa_name")),
    _dFadca(_num_c),
    _d2Fadcadba(_num_c),
    _d2Fadcadarg(_n_args)
{
  // Declare _prop_ci to be a matrix for easy reference. In _prop_ci[m][n], m is species index, n
  // is the phase index.
  for (const auto m : make_range(_num_c))
  {
    _prop_ci[m].resize(2);
    for (const auto n : make_range(2))
      _prop_ci[m][n] = &getMaterialPropertyByName<Real>(_ci_names[m * 2 + n]);
  }
 
  // _dcideta and _dcidb are computed in KKSPhaseConcentrationDerivatives
  for (const auto m : make_range(_num_c))
  {
    _dcideta[m].resize(2);
    _dcidb[m].resize(2);
    for (const auto n : make_range(2))
    {
      _dcideta[m][n] = &getMaterialPropertyDerivative<Real>(_ci_names[m * 2 + n], _var.name());
      _dcidb[m][n].resize(_num_c);
      for (const auto l : make_range(_num_c))
        _dcidb[m][n][l] = &getMaterialPropertyDerivative<Real>(_ci_names[m * 2 + n], _c_names[l]);
    }
  }
 
  // _dFadca and _d2Fadcadba are computed in KKSPhaseConcentrationMaterial
  for (const auto m : make_range(_num_c))
  {
    _dFadca[m] = &getMaterialPropertyDerivative<Real>("cp" + _Fa_name, _ci_names[m * 2]);
    _d2Fadcadba[m].resize(_num_c);
    for (const auto n : make_range(_num_c))
      _d2Fadcadba[m][n] =
          &getMaterialPropertyDerivative<Real>("cp" + _Fa_name, _ci_names[m * 2], _ci_names[n * 2]);
  }
 
  // _d2Fadcadarg are computed in KKSPhaseConcentrationMaterial
  for (const auto m : make_range(_num_c))
  {
    _d2Fadcadarg[m].resize(_n_args);
    for (const auto n : make_range(_n_args))
      _d2Fadcadarg[m][n] =
          &getMaterialPropertyDerivative<Real>("cp" + _Fa_name, _ci_names[m * 2], n);
  }
}

Member Function Documentation

◆ computeDFDOP() [1/2]

Real NestedKKSACBulkC::computeDFDOP ( PFFunctionType type )

protectedvirtual

Definition at line 86 of file NestedKKSACBulkC.C.

{
  Real sum = 0.0;
  switch (type)
  {
    case Residual:
      for (unsigned int m = 0; m < _num_c; ++m)
        sum += (*_dFadca[m])[_qp] * ((*_prop_ci[m][0])[_qp] - (*_prop_ci[m][1])[_qp]);
 
      return _prop_dh[_qp] * sum;
 
    case Jacobian:
      Real sum1 = 0.0;
      for (unsigned int m = 0; m < _num_c; ++m)
        sum1 += (*_dFadca[m])[_qp] * ((*_prop_ci[m][0])[_qp] - (*_prop_ci[m][1])[_qp]);
 
      Real sum2 = 0.0;
      for (unsigned int m = 0; m < _num_c; ++m)
      {
        Real sum3 = 0.0;
        for (unsigned int n = 0; n < _num_c; ++n)
          sum3 += (*_d2Fadcadba[m][n])[_qp] * (*_dcideta[n][0])[_qp];
 
        sum2 += sum3 * ((*_prop_ci[m][0])[_qp] - (*_prop_ci[m][1])[_qp]) +
                (*_dFadca[m])[_qp] * ((*_dcideta[m][0])[_qp] - (*_dcideta[m][1])[_qp]);
      }
 
      return (_prop_d2h[_qp] * sum1 + _prop_dh[_qp] * sum2) * _phi[_j][_qp];
  }
 
  mooseError("Invalid type passed in");
}

◆ computeDFDOP() [2/2]

virtual Real ACBulk< Real >::computeDFDOP ( PFFunctionType type )

protectedpure virtualinherited

◆ computeQpOffDiagJacobian()

Real NestedKKSACBulkC::computeQpOffDiagJacobian ( unsigned int jvar )

protectedvirtual

Reimplemented from ACBulk< Real >.

Definition at line 120 of file NestedKKSACBulkC.C.

{
  // first get dependence of mobility _L on other variables using parent class member function
  Real res = ACBulk<Real>::computeQpOffDiagJacobian(jvar);
 
  // Then add dependence of KKSACBulkF on other variables.
  // Treat c specially using chain rule.
  auto compvar = mapJvarToCvar(jvar, _c_map);
  if (compvar >= 0)
  {
    Real sum1 = 0.0;
    for (unsigned int m = 0; m < _num_c; ++m)
    {
      Real sum2 = 0.0;
      for (unsigned int n = 0; n < _num_c; ++n)
        sum2 += (*_d2Fadcadba[m][n])[_qp] * (*_dcidb[n][0][compvar])[_qp];
 
      sum1 += sum2 * ((*_prop_ci[m][0])[_qp] - (*_prop_ci[m][1])[_qp]) +
              (*_dFadca[m])[_qp] * ((*_dcidb[m][0][compvar])[_qp] - (*_dcidb[m][1][compvar])[_qp]);
    }
 
    res += _L[_qp] * _prop_dh[_qp] * sum1 * _phi[_j][_qp] * _test[_i][_qp];
  }
 
  //  for all other vars get the coupled variable jvar is referring to
  const unsigned int cvar = mapJvarToCvar(jvar);
  for (unsigned int n = 0; n < _num_c; ++n)
    res += _L[_qp] * _prop_dh[_qp] * (*_d2Fadcadarg[n][cvar])[_qp] *
           ((*_prop_ci[n][0])[_qp] - (*_prop_ci[n][1])[_qp]) * _phi[_j][_qp] * _test[_i][_qp];
 
  return res;
}

◆ initialSetup()

void KKSACBulkBase::initialSetup ( )

virtualinherited

Reimplemented from ACBulk< Real >.

Definition at line 53 of file KKSACBulkBase.C.

{
  ACBulk<Real>::initialSetup();
  validateNonlinearCoupling<Real>("fa_name");
  validateNonlinearCoupling<Real>("fb_name");
}

◆ precomputeQpJacobian()

Real ACBulk< Real >::precomputeQpJacobian ( )

protectedvirtualinherited

Definition at line 34 of file ACBulk.h.

{
  // Get free energy derivative and Jacobian
  Real dFdop = computeDFDOP(Residual);
 
  Real JdFdop = computeDFDOP(Jacobian);
 
  // Set Jacobian value using product rule
  return _L[_qp] * JdFdop + _dLdop[_qp] * _phi[_j][_qp] * dFdop;
}

◆ precomputeQpResidual()

Real ACBulk< Real >::precomputeQpResidual ( )

protectedvirtualinherited

Definition at line 33 of file ACBulk.h.

{
  // Get free energy derivative from function
  Real dFdop = computeDFDOP(Residual);
 
  // Set residual
  return _L[_qp] * dFdop;
}

◆ validParams()

InputParameters NestedKKSACBulkC::validParams ( )

static

Definition at line 15 of file NestedKKSACBulkC.C.

{
  InputParameters params = KKSACBulkBase::validParams();
  params.addClassDescription("KKS model kernel (part 2 of 2) for the Bulk Allen-Cahn. This "
                             "includes all terms dependent on chemical potential.");
  params.addRequiredCoupledVar("global_cs", "The interpolated concentrations c, b, etc");
  params.addRequiredParam<std::vector<MaterialPropertyName>>(
      "ci_names",
      "Phase concentrations. The order must match Fa, Fb, and global_cs, for example, c1, "
      "c2, b1, b2, etc");
  return params;
}

Member Data Documentation

◆ _c_map

const JvarMap& NestedKKSACBulkC::_c_map

protected

Definition at line 32 of file NestedKKSACBulkC.h.

Referenced by computeQpOffDiagJacobian().

◆ _c_names

std::vector<VariableName> NestedKKSACBulkC::_c_names

protected

Global concentrations.

Definition at line 31 of file NestedKKSACBulkC.h.

Referenced by NestedKKSACBulkC().

◆ _ci_names

const std::vector<MaterialPropertyName> NestedKKSACBulkC::_ci_names

protected

Phase concentrations.

Definition at line 38 of file NestedKKSACBulkC.h.

Referenced by NestedKKSACBulkC().

◆ _d2Fadcadarg

std::vector<std::vector<const MaterialProperty<Real> *> > NestedKKSACBulkC::_d2Fadcadarg

protected

Mixed partial derivatives of the free energy function wrt c and any other coupled variables \( \frac {d^2}{dc_a dq} F_a \).

Definition at line 60 of file NestedKKSACBulkC.h.

Referenced by computeQpOffDiagJacobian(), and NestedKKSACBulkC().

◆ _d2Fadcadba

std::vector<std::vector<const MaterialProperty<Real> *> > NestedKKSACBulkC::_d2Fadcadba

protected

Second derivative of the free energy function \( \frac {d^2}{dc_a db_a} F_a \).

Definition at line 56 of file NestedKKSACBulkC.h.

Referenced by computeDFDOP(), computeQpOffDiagJacobian(), and NestedKKSACBulkC().

◆ _dcidb

std::vector<std::vector<std::vector<const MaterialProperty<Real> *> > > NestedKKSACBulkC::_dcidb

protected

Derivative of phase concentrations wrt global concentrations \( \frac d{db} c_i \).

Definition at line 47 of file NestedKKSACBulkC.h.

Referenced by computeQpOffDiagJacobian(), and NestedKKSACBulkC().

◆ _dcideta

std::vector<std::vector<const MaterialProperty<Real> *> > NestedKKSACBulkC::_dcideta

protected

Derivative of phase concentrations wrt eta \( \frac d{d{eta}} c_i \).

Definition at line 44 of file NestedKKSACBulkC.h.

Referenced by computeDFDOP(), and NestedKKSACBulkC().

◆ _derivatives_Fa

std::vector<const MaterialProperty<Real> *> KKSACBulkBase::_derivatives_Fa

protectedinherited

Derivatives of \( F_a \) with respect to all coupled variables.

Definition at line 36 of file KKSACBulkBase.h.

Referenced by KKSACBulkF::computeQpOffDiagJacobian(), and KKSACBulkBase::KKSACBulkBase().

◆ _derivatives_Fb

std::vector<const MaterialProperty<Real> *> KKSACBulkBase::_derivatives_Fb

protectedinherited

Derivatives of \( F_b \) with respect to all coupled variables.

Definition at line 39 of file KKSACBulkBase.h.

Referenced by KKSACBulkF::computeQpOffDiagJacobian(), and KKSACBulkBase::KKSACBulkBase().

◆ _dFadca

std::vector<const MaterialProperty<Real> *> NestedKKSACBulkC::_dFadca

protected

Derivative of the free energy function \( \frac d{dc_a} F_a \).

Definition at line 53 of file NestedKKSACBulkC.h.

Referenced by computeDFDOP(), computeQpOffDiagJacobian(), and NestedKKSACBulkC().

◆ _dLdarg

std::vector<const MaterialProperty<Real > *> ACBulk< Real >::_dLdarg

protectedinherited

Mobility derivative w.r.t coupled variables.

Definition at line 52 of file ACBulk.h.

◆ _dLdop

const MaterialProperty<Real >& ACBulk< Real >::_dLdop

protectedinherited

Mobility derivative w.r.t. order parameter.

Definition at line 49 of file ACBulk.h.

◆ _eta_name

VariableName KKSACBulkBase::_eta_name

protectedinherited

name of the order parameter (needed to retrieve the derivative material properties)

Definition at line 33 of file KKSACBulkBase.h.

◆ _Fa_name

const MaterialPropertyName NestedKKSACBulkC::_Fa_name

protected

Free energy of phase a.

Definition at line 50 of file NestedKKSACBulkC.h.

Referenced by NestedKKSACBulkC().

◆ _grad_args

std::vector<const VariableGradient *> KKSACBulkBase::_grad_args

protectedinherited

Gradients for all coupled variables.

Definition at line 54 of file KKSACBulkBase.h.

Referenced by KKSACBulkBase::KKSACBulkBase().

◆ _L

const MaterialProperty<Real >& ACBulk< Real >::_L

protectedinherited

Mobility.

Definition at line 46 of file ACBulk.h.

◆ _num_c

const unsigned int NestedKKSACBulkC::_num_c

protected

Number of global concentrations.

Definition at line 35 of file NestedKKSACBulkC.h.

Referenced by computeDFDOP(), computeQpOffDiagJacobian(), and NestedKKSACBulkC().

◆ _prop_ci

std::vector<std::vector<const MaterialProperty<Real> *> > NestedKKSACBulkC::_prop_ci

protected

Phase concentration properties.

Definition at line 41 of file NestedKKSACBulkC.h.

Referenced by computeDFDOP(), computeQpOffDiagJacobian(), and NestedKKSACBulkC().

◆ _prop_d2h

const MaterialProperty<Real>& KKSACBulkBase::_prop_d2h

protectedinherited

Second derivative of the switching function \( \frac {d^2}{d\eta^2} h(\eta) \).

Definition at line 51 of file KKSACBulkBase.h.

Referenced by KKSACBulkC::computeDFDOP(), KKSACBulkF::computeDFDOP(), computeDFDOP(), and NestedKKSACBulkF::computeDFDOP().

◆ _prop_dFa

const MaterialProperty<Real>& KKSACBulkBase::_prop_dFa

protectedinherited

Derivative of the free energy function \( \frac d{d\eta} F_a \).

Definition at line 45 of file KKSACBulkBase.h.

◆ _prop_dh

const MaterialProperty<Real>& KKSACBulkBase::_prop_dh

protectedinherited

Derivative of the switching function \( \frac d{d\eta} h(\eta) \).

Definition at line 48 of file KKSACBulkBase.h.

Referenced by KKSACBulkC::computeDFDOP(), KKSACBulkF::computeDFDOP(), computeDFDOP(), NestedKKSACBulkF::computeDFDOP(), KKSACBulkC::computeQpOffDiagJacobian(), KKSACBulkF::computeQpOffDiagJacobian(), computeQpOffDiagJacobian(), and NestedKKSACBulkF::computeQpOffDiagJacobian().

◆ _prop_Fa

const MaterialProperty<Real>& KKSACBulkBase::_prop_Fa

protectedinherited

Value of the free energy function \( F_a \).

Definition at line 42 of file KKSACBulkBase.h.

Referenced by KKSACBulkF::computeDFDOP().

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

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

Public Types

Public Member Functions

Static Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Detailed Description

Member Enumeration Documentation

◆ PFFunctionType

Constructor & Destructor Documentation

◆ NestedKKSACBulkC()

Member Function Documentation

◆ computeDFDOP() [1/2]

◆ computeDFDOP() [2/2]

◆ computeQpOffDiagJacobian()

◆ initialSetup()

◆ precomputeQpJacobian()

◆ precomputeQpResidual()

◆ validParams()

Member Data Documentation

◆ _c_map

◆ _c_names

◆ _ci_names

◆ _d2Fadcadarg

◆ _d2Fadcadba

◆ _dcidb

◆ _dcideta

◆ _derivatives_Fa

◆ _derivatives_Fb

◆ _dFadca

◆ _dLdarg

◆ _dLdop

◆ _eta_name

◆ _Fa_name

◆ _grad_args

◆ _L

◆ _num_c

◆ _prop_ci

◆ _prop_d2h

◆ _prop_dFa

◆ _prop_dh

◆ _prop_Fa