EshelbianPlasticity::NeoHookeanLogarithmicMaterial Struct Reference

#include "users_modules/eshelbian_plasticity/src/NeoHookeanLogarithmicMaterial.hpp"

Classes
struct	InverseState
struct	Parameters
struct	VolumeState

Public Types
using	Coordinates = FTensor::Tensor1< double, 5 >
using	SymmetricTensor = FTensor::Tensor2_symmetric< double, 3 >
using	Tangent = FTensor::Tensor2< double, 5, 5 >

Static Public Member Functions
static MoFEMErrorCode	validateParameters (const Parameters &parameters)
	Check finite, strictly positive C10, K and representable mu = 2*C10.
static SymmetricTensor	getTensor (const Coordinates &t_coordinates, double theta=0.)
	Reconstruct H = D + theta*I/3 from the fixed five-coordinate basis.
static Coordinates	getCoordinates (const SymmetricTensor &t_tensor)
	Project a symmetric tensor onto the fixed trace-free basis.
static MoFEMErrorCode	evaluateDeviator (const Parameters &parameters, const Coordinates &t_deviator, double &energy, Coordinates *stress_ptr=nullptr, Tangent *hessian_ptr=nullptr)
	Evaluate f(D), optionally its five-component gradient and Hessian.
static MoFEMErrorCode	evaluateVolume (const Parameters &parameters, double theta, VolumeState &state)
	Evaluate g(J) = K*(J-1)^2/2 and its logarithmic-volume derivatives.
static MoFEMErrorCode	evaluateInverse (const Parameters &parameters, const Coordinates &t_stress, InverseState &state)
	Recover Dm(Td), its compliance and conjugate energy; no state is cached.
static MoFEMErrorCode	evaluateFenchelGap (const Parameters &parameters, const Coordinates &t_deviator, const Coordinates &t_stress, const InverseState &inverse, double &gap, double *energy_ptr=nullptr)

Detailed Description

Stateless material evaluations, independent of mesh fields and solvers.

The five coordinates use (11-22)/sqrt(2), (11+22-2*33)/sqrt(6), sqrt(2)*12, sqrt(2)*13 and sqrt(2)*23. Their Euclidean pairing is the Frobenius pairing of symmetric trace-free tensors.

Call validateParameters after reading or changing material parameters and before evaluating a state. Kernels recheck this precondition only in debug builds; trial-state validity and numerical representability are always checked.

Definition at line 22 of file NeoHookeanLogarithmicMaterial.hpp.

Member Typedef Documentation

Coordinates

using EshelbianPlasticity::NeoHookeanLogarithmicMaterial::Coordinates = FTensor::Tensor1<double, 5>

Definition at line 23 of file NeoHookeanLogarithmicMaterial.hpp.

SymmetricTensor

using EshelbianPlasticity::NeoHookeanLogarithmicMaterial::SymmetricTensor = FTensor::Tensor2_symmetric<double, 3>

Definition at line 24 of file NeoHookeanLogarithmicMaterial.hpp.

Tangent

using EshelbianPlasticity::NeoHookeanLogarithmicMaterial::Tangent = FTensor::Tensor2<double, 5, 5>

Definition at line 25 of file NeoHookeanLogarithmicMaterial.hpp.

Member Function Documentation

evaluateDeviator()

static MoFEMErrorCode EshelbianPlasticity::NeoHookeanLogarithmicMaterial::evaluateDeviator ( const Parameters &  parameters, const Coordinates &  t_deviator, double &  energy, Coordinates *  stress_ptr = nullptr, Tangent *  hessian_ptr = nullptr  )

static

Evaluate f(D), optionally its five-component gradient and Hessian.

evaluateFenchelGap()

static MoFEMErrorCode EshelbianPlasticity::NeoHookeanLogarithmicMaterial::evaluateFenchelGap ( const Parameters &  parameters, const Coordinates &  t_deviator, const Coordinates &  t_stress, const InverseState &  inverse, double &  gap, double *  energy_ptr = nullptr  )

static

Evaluate f(D) + f*(Td) - Td:D, optionally returning the computed f(D). The supplied inverse must correspond to the same Td.

evaluateInverse()

static MoFEMErrorCode EshelbianPlasticity::NeoHookeanLogarithmicMaterial::evaluateInverse ( const Parameters &  parameters, const Coordinates &  t_stress, InverseState &  state  )

static

Recover Dm(Td), its compliance and conjugate energy; no state is cached.

evaluateVolume()

static MoFEMErrorCode EshelbianPlasticity::NeoHookeanLogarithmicMaterial::evaluateVolume ( const Parameters &  parameters, double  theta, VolumeState &  state  )

static

Evaluate g(J) = K*(J-1)^2/2 and its logarithmic-volume derivatives.

getCoordinates()

static Coordinates EshelbianPlasticity::NeoHookeanLogarithmicMaterial::getCoordinates ( const SymmetricTensor &  t_tensor )

static

Project a symmetric tensor onto the fixed trace-free basis.

getTensor()

static SymmetricTensor EshelbianPlasticity::NeoHookeanLogarithmicMaterial::getTensor ( const Coordinates &  t_coordinates, double  theta = 0.  )

static

Reconstruct H = D + theta*I/3 from the fixed five-coordinate basis.

validateParameters()

static MoFEMErrorCode EshelbianPlasticity::NeoHookeanLogarithmicMaterial::validateParameters ( const Parameters &  parameters )

static

Check finite, strictly positive C10, K and representable mu = 2*C10.

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The documentation for this struct was generated from the following file:

• users_modules/eshelbian_plasticity/src/NeoHookeanLogarithmicMaterial.hpp