ElectrochemicalDefectMaterial Class Reference

This material calculates defect-specific parameters for the grand potential sintering model with multiple defect species coupled with electrochemistry. More...

#include <ElectrochemicalDefectMaterial.h>

Inheritance diagram for ElectrochemicalDefectMaterial:

Public Types
typedef DerivativeMaterialPropertyNameInterface::SymbolName	SymbolName

Public Member Functions
	ElectrochemicalDefectMaterial (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 void	computeQpProperties ()

Protected Attributes
const unsigned int	_neta
	number of solid phase order paramters
std::vector< const VariableValue * >	_eta
	solid phase order parameters
std::vector< VariableName >	_eta_name
const VariableValue &	_w
	chemical potential
const NonlinearVariableName	_w_name
const VariableValue &	_phi
	void phase order parameter
const NonlinearVariableName	_phi_name
const MaterialPropertyName	_ns_min_name
	minimum in energy wrt vacancy concentration in solid
const MaterialProperty< Real > &	_ns_min
std::vector< const MaterialProperty< Real > * >	_dns_min
std::vector< std::vector< const MaterialProperty< Real > * > >	_d2ns_min
const VariableValue &	_temp
	temperature
const VariableValue &	_v
	electric potential
const VariableGradient &	_grad_V
	Gradient of electric potential.
const MaterialProperty< Real > &	_kv
	void energy coefficient
const MaterialProperty< Real > &	_ks
	solid energy coefficient
const MaterialProperty< Real > &	_hv
	void phase switching function
const MaterialProperty< Real > &	_dhv
const MaterialProperty< Real > &	_d2hv
const MaterialProperty< Real > &	_hs
	solid phase switching function
const MaterialProperty< Real > &	_dhs
const MaterialProperty< Real > &	_d2hs
MaterialPropertyName	_chi_name
	susceptibility and derivatives
MaterialProperty< Real > &	_chi
MaterialProperty< Real > &	_dchidphi
MaterialProperty< Real > &	_dchidw
MaterialProperty< Real > &	_d2chidphi2
MaterialProperty< Real > &	_d2chidw2
MaterialProperty< Real > &	_d2chidphidw
MaterialPropertyName	_nv_name
	void phase vacancy density
MaterialProperty< Real > &	_nv
MaterialProperty< Real > &	_dnvdw
MaterialPropertyName	_ns_name
	solid phase vacancy density
MaterialProperty< Real > &	_ns
MaterialProperty< Real > &	_dnsdw
MaterialProperty< Real > &	_d2nsdw2
std::vector< MaterialProperty< Real > * >	_dns
std::vector< MaterialProperty< Real > * >	_d2nsdwdeta
std::vector< std::vector< MaterialProperty< Real > * > >	_d2ns
const MooseEnum	_solid_energy
	Type of energy function to use for the solid phase.
const Real	_kB
	Boltzmann constant.
const Real	_e
	Electron charge.
const int	_z
	Defect species charge.
const Real	_v_scale
	Voltage scale.
const Real	_eps_r
	Solid phase relative permittivity.
const Real	_nv_min
	minimum in energy wrt vacancy concentration in void

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

This material calculates defect-specific parameters for the grand potential sintering model with multiple defect species coupled with electrochemistry.

Definition at line 19 of file ElectrochemicalDefectMaterial.h.

Constructor & Destructor Documentation

ElectrochemicalDefectMaterial()

ElectrochemicalDefectMaterial::ElectrochemicalDefectMaterial

(

const InputParameters &

parameters

)

Definition at line 64 of file ElectrochemicalDefectMaterial.C.

  : DerivativeMaterialInterface<Material>(parameters),
    _neta(coupledComponents("etas")),
    _eta(_neta),
    _eta_name(_neta),
    _w(coupledValue("chemical_potential")),
    _w_name(coupledName("chemical_potential", 0)),
    _phi(coupledValue("void_op")),
    _phi_name(coupledName("void_op", 0)),
    _ns_min_name(getParam<MaterialPropertyName>("min_vacancy_concentration_solid")),
    _ns_min(getMaterialProperty<Real>(_ns_min_name)),
    _dns_min(_neta),
    _d2ns_min(_neta),
    _temp(coupledValue("Temperature")),
    _v(coupledValue("electric_potential")),
    _grad_V(coupledGradient("electric_potential")),
    _kv(getMaterialProperty<Real>("void_energy_coefficient")),
    _ks(getMaterialProperty<Real>("solid_energy_coefficient")),
    _hv(getMaterialPropertyByName<Real>("hv")),
    _dhv(getMaterialPropertyDerivativeByName<Real>("hv", _phi_name)),
    _d2hv(getMaterialPropertyDerivativeByName<Real>("hv", _phi_name, _phi_name)),
    _hs(getMaterialPropertyByName<Real>("hs")),
    _dhs(getMaterialPropertyDerivativeByName<Real>("hs", _phi_name)),
    _d2hs(getMaterialPropertyDerivativeByName<Real>("hs", _phi_name, _phi_name)),
    _chi_name(getParam<MaterialPropertyName>("chi_name")),
    _chi(declareProperty<Real>(_chi_name)),
    _dchidphi(declarePropertyDerivative<Real>(_chi_name, _phi_name)),
    _dchidw(declarePropertyDerivative<Real>(_chi_name, _w_name)),
    _d2chidphi2(declarePropertyDerivative<Real>(_chi_name, _phi_name, _phi_name)),
    _d2chidw2(declarePropertyDerivative<Real>(_chi_name, _w_name, _w_name)),
    _d2chidphidw(declarePropertyDerivative<Real>(_chi_name, _phi_name, _w_name)),
    _nv_name(getParam<MaterialPropertyName>("void_density_name")),
    _nv(declareProperty<Real>(_nv_name)),
    _dnvdw(declarePropertyDerivative<Real>(_nv_name, _w_name)),
    _ns_name(getParam<MaterialPropertyName>("solid_density_name")),
    _ns(declareProperty<Real>(_ns_name)),
    _dnsdw(declarePropertyDerivative<Real>(_ns_name, _w_name)),
    _d2nsdw2(declarePropertyDerivative<Real>(_ns_name, _w_name, _w_name)),
    _dns(_neta),
    _d2nsdwdeta(_neta),
    _d2ns(_neta),
    _solid_energy(getParam<MooseEnum>("solid_energy_model")),
    _kB(8.617343e-5), // eV/K
    _e(1.0),          // to put energy units in eV
    _z(getParam<int>("defect_charge")),
    _v_scale(getParam<Real>("voltage_scale")),
    _eps_r(getParam<Real>("solid_relative_permittivity")),
    _nv_min(getParam<Real>("min_vacancy_concentration_void"))
{
 
  for (unsigned int i = 0; i < _neta; ++i)
  {
    _eta[i] = &coupledValue("etas", i);
    _eta_name[i] = coupledName("etas", i);
    _dns_min[i] = &getMaterialPropertyDerivativeByName<Real>(_ns_min_name, _eta_name[i]);
    _d2ns_min[i].resize(_neta);
    _dns[i] = &declarePropertyDerivative<Real>(_ns_name, _eta_name[i]);
    _d2ns[i].resize(_neta);
    _d2nsdwdeta[i] = &declarePropertyDerivative<Real>(_ns_name, _w_name, _eta_name[i]);
 
    for (unsigned int j = 0; j <= i; ++j)
    {
      _d2ns_min[j][i] =
          &getMaterialPropertyDerivativeByName<Real>(_ns_min_name, _eta_name[j], _eta_name[i]);
      _d2ns[j][i] = &declarePropertyDerivative<Real>(_ns_name, _eta_name[j], _eta_name[i]);
    }
  }
}

Member Function Documentation

computeQpProperties()

void ElectrochemicalDefectMaterial::computeQpProperties ( )

protectedvirtual

Definition at line 134 of file ElectrochemicalDefectMaterial.C.

{
  // Calculate the void phase density and derivatives
  _nv[_qp] = (_w[_qp] - _z * _e * _v[_qp] * _v_scale) / _kv[_qp] + _nv_min;
  _dnvdw[_qp] = 1.0 / _kv[_qp]; // susceptibility
 
  // Calculate solid phase density and derivatives
  Real d3nsdw3 = 0.0;
  switch (_solid_energy)
  {
    case 0: // PARABOLIC
    {
      _ns[_qp] = (_w[_qp] - _z * _e * _v[_qp] * _v_scale) / _ks[_qp] + _ns_min[_qp];
      _dnsdw[_qp] = 1.0 / _ks[_qp];
      _d2nsdw2[_qp] = 0.0;
      d3nsdw3 = 0.0;
 
      for (unsigned int i = 0; i < _neta; ++i)
      {
        (*_dns[i])[_qp] = (*_dns_min[i])[_qp];
        (*_d2nsdwdeta[i])[_qp] = 0.0;
        for (unsigned int j = i; j < _neta; ++j)
        {
          (*_d2ns[i][j])[_qp] = (*_d2ns_min[i][j])[_qp];
        }
      }
      break;
    } // case 0; // PARABOLIC
    case 1: // DILUTE
    {
      Real n_exp = std::exp((_w[_qp] - _z * _e * _v[_qp] * _v_scale) / _kB / _temp[_qp]);
      _ns[_qp] = _ns_min[_qp] * n_exp;
      _dnsdw[_qp] = _ns[_qp] / _kB / _temp[_qp];
      _d2nsdw2[_qp] = _dnsdw[_qp] / _kB / _temp[_qp];
      d3nsdw3 = _d2nsdw2[_qp] / _kB / _temp[_qp];
 
      for (unsigned int i = 0; i < _neta; ++i)
      {
        (*_dns[i])[_qp] = (*_dns_min[i])[_qp] * n_exp;
        (*_d2nsdwdeta[i])[_qp] = (*_dns_min[i])[_qp] * n_exp / _kB / _temp[_qp];
        for (unsigned int j = i; j < _neta; ++j)
        {
          (*_d2ns[i][j])[_qp] = (*_d2ns_min[i][j])[_qp] * n_exp;
        }
      }
      break;
    } // case 1: // DILUTE
    case 2: // IDEAL
    {
      mooseError("Ideal solution in solid is not yet supported in ElectrochemicalDefectMaterial");
      break;
    } // case 2: // IDEAL
  } // switch (_solid_energy)
 
  // Calculate the susceptibilities
  _chi[_qp] = _hs[_qp] * _dnsdw[_qp] + _hv[_qp] * _dnvdw[_qp];
  _dchidphi[_qp] = _dhs[_qp] * _dnsdw[_qp] + _dhv[_qp] * _dnvdw[_qp];
  _dchidw[_qp] = _hs[_qp] * _d2nsdw2[_qp];
  _d2chidphi2[_qp] = _d2hs[_qp] * _dnsdw[_qp] + _d2hv[_qp] * _dnvdw[_qp];
  _d2chidw2[_qp] = _hs[_qp] * d3nsdw3;
  _d2chidphidw[_qp] = _dhs[_qp] * _d2nsdw2[_qp];
} // void ElectrochemicalDefectMaterial::computeQpProperties()

validParams()

InputParameters ElectrochemicalDefectMaterial::validParams ( )

static

Definition at line 17 of file ElectrochemicalDefectMaterial.C.

{
  InputParameters params = Material::validParams();
  params.addClassDescription(
      "Calculates density, susceptibility, and derivatives for a defect species in the grand "
      "potential sintering model coupled with electrochemistry");
  params.addRequiredCoupledVarWithAutoBuild(
      "etas", "var_name_base", "op_num", "Array of order parameters that describe solid phase");
  params.addRequiredCoupledVar("chemical_potential", "The name of the chemical potential variable");
  params.addRequiredCoupledVar("void_op", "The name of the void phase order parameter");
  params.addRequiredCoupledVar("Temperature", "Name of the temperature variable with units of K");
  params.addRequiredCoupledVar("electric_potential",
                               "Name of the electric potential variable with units of V");
  params.addParam<MaterialPropertyName>(
      "void_density_name",
      "nv",
      "Name of material property to be created for defect number density in the void phase.");
  params.addParam<MaterialPropertyName>(
      "solid_density_name",
      "ns",
      "Name of material property to be created for defect number density in the solid phase.");
  params.addParam<MaterialPropertyName>(
      "chi_name", "chi", "Name of material property to be created defect susceptibility.");
  params.addParam<MaterialPropertyName>("solid_energy_coefficient",
                                        1.0,
                                        "Parabolic solid energy coefficient (energy*volume) for "
                                        "defect species. Only used for parabolic energy.");
  params.addRequiredParam<MaterialPropertyName>(
      "void_energy_coefficient",
      "Parabolic void energy coefficient (energy*volume) for defect species.");
  params.addRequiredParam<MaterialPropertyName>(
      "min_vacancy_concentration_solid",
      "Name of material that determines the minimum in energy wrt defect concentration in the "
      "solid phase");
  params.addRequiredParam<Real>("min_vacancy_concentration_void",
                                "Minimum in energy wrt defect concentration in the void phase");
  MooseEnum solid_energy_model("PARABOLIC DILUTE IDEAL", "PARABOLIC");
  params.addParam<MooseEnum>("solid_energy_model",
                             solid_energy_model,
                             "Type of energy function to use for the solid phase.");
  params.addRequiredParam<int>("defect_charge", "Effective charge of defect species");
  params.addRequiredParam<Real>("solid_relative_permittivity",
                                "Solid phase relative permittivity (dimensionless)");
  params.addParam<Real>("voltage_scale", 1, "Voltage scale (default is for voltage in V)");
  return params;
}

Member Data Documentation

_chi

MaterialProperty<Real>& ElectrochemicalDefectMaterial::_chi

protected

Definition at line 76 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_chi_name

MaterialPropertyName ElectrochemicalDefectMaterial::_chi_name

protected

susceptibility and derivatives

Definition at line 75 of file ElectrochemicalDefectMaterial.h.

_d2chidphi2

MaterialProperty<Real>& ElectrochemicalDefectMaterial::_d2chidphi2

protected

Definition at line 79 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_d2chidphidw

MaterialProperty<Real>& ElectrochemicalDefectMaterial::_d2chidphidw

protected

Definition at line 81 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_d2chidw2

MaterialProperty<Real>& ElectrochemicalDefectMaterial::_d2chidw2

protected

Definition at line 80 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_d2hs

const MaterialProperty<Real>& ElectrochemicalDefectMaterial::_d2hs

protected

Definition at line 72 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_d2hv

const MaterialProperty<Real>& ElectrochemicalDefectMaterial::_d2hv

protected

Definition at line 67 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_d2ns

std::vector<std::vector<MaterialProperty<Real> *> > ElectrochemicalDefectMaterial::_d2ns

protected

Definition at line 95 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties(), and ElectrochemicalDefectMaterial().

_d2ns_min

std::vector<std::vector<const MaterialProperty<Real> *> > ElectrochemicalDefectMaterial::_d2ns_min

protected

Definition at line 48 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties(), and ElectrochemicalDefectMaterial().

_d2nsdw2

MaterialProperty<Real>& ElectrochemicalDefectMaterial::_d2nsdw2

protected

Definition at line 92 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_d2nsdwdeta

std::vector<MaterialProperty<Real> *> ElectrochemicalDefectMaterial::_d2nsdwdeta

protected

Definition at line 94 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties(), and ElectrochemicalDefectMaterial().

_dchidphi

MaterialProperty<Real>& ElectrochemicalDefectMaterial::_dchidphi

protected

Definition at line 77 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_dchidw

MaterialProperty<Real>& ElectrochemicalDefectMaterial::_dchidw

protected

Definition at line 78 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_dhs

const MaterialProperty<Real>& ElectrochemicalDefectMaterial::_dhs

protected

Definition at line 71 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_dhv

const MaterialProperty<Real>& ElectrochemicalDefectMaterial::_dhv

protected

Definition at line 66 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_dns

std::vector<MaterialProperty<Real> *> ElectrochemicalDefectMaterial::_dns

protected

Definition at line 93 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties(), and ElectrochemicalDefectMaterial().

_dns_min

std::vector<const MaterialProperty<Real> *> ElectrochemicalDefectMaterial::_dns_min

protected

Definition at line 47 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties(), and ElectrochemicalDefectMaterial().

_dnsdw

MaterialProperty<Real>& ElectrochemicalDefectMaterial::_dnsdw

protected

Definition at line 91 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_dnvdw

MaterialProperty<Real>& ElectrochemicalDefectMaterial::_dnvdw

protected

Definition at line 86 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_e

const Real ElectrochemicalDefectMaterial::_e

protected

Electron charge.

Definition at line 104 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_eps_r

const Real ElectrochemicalDefectMaterial::_eps_r

protected

Solid phase relative permittivity.

Definition at line 113 of file ElectrochemicalDefectMaterial.h.

_eta

std::vector<const VariableValue *> ElectrochemicalDefectMaterial::_eta

protected

solid phase order parameters

Definition at line 33 of file ElectrochemicalDefectMaterial.h.

Referenced by ElectrochemicalDefectMaterial().

_eta_name

std::vector<VariableName> ElectrochemicalDefectMaterial::_eta_name

protected

Definition at line 34 of file ElectrochemicalDefectMaterial.h.

Referenced by ElectrochemicalDefectMaterial().

_grad_V

const VariableGradient& ElectrochemicalDefectMaterial::_grad_V

protected

Gradient of electric potential.

Definition at line 57 of file ElectrochemicalDefectMaterial.h.

_hs

const MaterialProperty<Real>& ElectrochemicalDefectMaterial::_hs

protected

solid phase switching function

Definition at line 70 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_hv

const MaterialProperty<Real>& ElectrochemicalDefectMaterial::_hv

protected

void phase switching function

Definition at line 65 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_kB

const Real ElectrochemicalDefectMaterial::_kB

protected

Boltzmann constant.

Definition at line 101 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_ks

const MaterialProperty<Real>& ElectrochemicalDefectMaterial::_ks

protected

solid energy coefficient

Definition at line 62 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_kv

const MaterialProperty<Real>& ElectrochemicalDefectMaterial::_kv

protected

void energy coefficient

Definition at line 60 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_neta

const unsigned int ElectrochemicalDefectMaterial::_neta

protected

number of solid phase order paramters

Definition at line 30 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties(), and ElectrochemicalDefectMaterial().

_ns

MaterialProperty<Real>& ElectrochemicalDefectMaterial::_ns

protected

Definition at line 90 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_ns_min

const MaterialProperty<Real>& ElectrochemicalDefectMaterial::_ns_min

protected

Definition at line 46 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_ns_min_name

const MaterialPropertyName ElectrochemicalDefectMaterial::_ns_min_name

protected

minimum in energy wrt vacancy concentration in solid

Definition at line 45 of file ElectrochemicalDefectMaterial.h.

Referenced by ElectrochemicalDefectMaterial().

_ns_name

MaterialPropertyName ElectrochemicalDefectMaterial::_ns_name

protected

solid phase vacancy density

Definition at line 89 of file ElectrochemicalDefectMaterial.h.

Referenced by ElectrochemicalDefectMaterial().

_nv

MaterialProperty<Real>& ElectrochemicalDefectMaterial::_nv

protected

Definition at line 85 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_nv_min

const Real ElectrochemicalDefectMaterial::_nv_min

protected

minimum in energy wrt vacancy concentration in void

Definition at line 116 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_nv_name

MaterialPropertyName ElectrochemicalDefectMaterial::_nv_name

protected

void phase vacancy density

Definition at line 84 of file ElectrochemicalDefectMaterial.h.

_phi

const VariableValue& ElectrochemicalDefectMaterial::_phi

protected

void phase order parameter

Definition at line 41 of file ElectrochemicalDefectMaterial.h.

_phi_name

const NonlinearVariableName ElectrochemicalDefectMaterial::_phi_name

protected

Definition at line 42 of file ElectrochemicalDefectMaterial.h.

_solid_energy

const MooseEnum ElectrochemicalDefectMaterial::_solid_energy

protected

Type of energy function to use for the solid phase.

Definition at line 98 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_temp

const VariableValue& ElectrochemicalDefectMaterial::_temp

protected

temperature

Definition at line 51 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_v

const VariableValue& ElectrochemicalDefectMaterial::_v

protected

electric potential

Definition at line 54 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_v_scale

const Real ElectrochemicalDefectMaterial::_v_scale

protected

Voltage scale.

Definition at line 110 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_w

const VariableValue& ElectrochemicalDefectMaterial::_w

protected

chemical potential

Definition at line 37 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

_w_name

const NonlinearVariableName ElectrochemicalDefectMaterial::_w_name

protected

Definition at line 38 of file ElectrochemicalDefectMaterial.h.

Referenced by ElectrochemicalDefectMaterial().

_z

const int ElectrochemicalDefectMaterial::_z

protected

Defect species charge.

Definition at line 107 of file ElectrochemicalDefectMaterial.h.

Referenced by computeQpProperties().

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

• phase_field/include/materials/ElectrochemicalDefectMaterial.h
• phase_field/src/materials/ElectrochemicalDefectMaterial.C