Class for creating a triaxial J2 plastic material for three-dimensional elements. More...

#include <Plastic3DJ2.hpp>

Inheritance diagram for Plastic3DJ2:

Collaboration diagram for Plastic3DJ2:

Public Member Functions
	Plastic3DJ2 (const double K, const double G, const double rho, const double Hbar, const double beta, const double SigmaY)
	Creates a Plastic3DJ2 material to be specified at a Gauss-point in an Element. More...

	~Plastic3DJ2 ()
	Destroys this Plastic3DJ2 material. More...

std::unique_ptr< Material >	CopyMaterial ()

double	GetDensity () const
	Access material density. More...

double	GetPoissonRatio () const
	Returns the Poisson's ratio. More...

double	GetBulkModulus () const
	Access bulk modulus. More...

double	GetShearModulus () const
	Access shear modulus. More...

double	GetElasticityModulus () const
	Access modulus of elasticity. More...

double	GetEnergy () const
	Access the material's energy at current strain. More...

Eigen::MatrixXd	GetDamping () const
	Returns the material viscous damping. More...

Eigen::VectorXd	GetStrain () const
	Returns the material strain. More...

Eigen::VectorXd	GetStress () const
	Returns the material stress. More...

Eigen::VectorXd	GetStrainRate () const
	Returns the material strain rate. More...

Eigen::VectorXd	GetTotalStress () const
	Computes the material total stress. More...

Eigen::MatrixXd	GetTangentStiffness () const
	Returns the material stiffness. More...

Eigen::MatrixXd	GetInitialTangentStiffness () const
	Returns the initial material stiffness. More...

void	CommitState ()
	Perform converged material state update. More...

void	ReverseState ()
	Reverse the material states to previous converged state. More...

void	InitialState ()
	Brings the material states to its initial state in the element. More...

void	UpdateState (const Eigen::VectorXd strain, const unsigned int cond)
	Update the material state for this iteration. More...

Public Member Functions inherited from Material
	Material (std::string name, bool model)
	Creates a Material to be specified at a Gauss-point in an Element. More...

virtual	~Material ()=0
	Destroys this Material object. More...

std::string	GetName ()
	Gets material information. More...

bool	IsViscous ()
	Gets material stress model. More...

Protected Member Functions
Eigen::VectorXd	ComputeIdentityVector () const
	Constructs a Second Order Identity Tensor. More...

Eigen::MatrixXd	ComputeDeviatoricTensor () const
	Constructs deviatoric tensor. More...

Eigen::MatrixXd	ComputeIdentityTensor () const
	Constructs fourth-rank identity tensor. More...

Eigen::MatrixXd	ComputeIdentityOperator () const
	Constructs fourth-rank symmetric identity operator. More...

double	ComputeTensorTrace (const Eigen::VectorXd &T)
	Computes the trace of a tensor of second-rank. More...

double	ComputeTensorNorm (const Eigen::VectorXd &T)
	Computes the norm of a tensor of second-rank. More...

Private Attributes
double	K
	Bulk modulus. More...

double	G
	Shear modulus. More...

double	Rho
	Material density. More...

double	H
	Kinematic hardening modulus. More...

double	beta
	Linear hardening parameter. More...

double	SigmaY
	Yield stress. More...

double	alpha
	Trial Internal hardening variable. More...

double	alpha_n
	Internal hardening variable at time n. More...

Eigen::VectorXd	Strain
	Trial Strain vector. More...

Eigen::VectorXd	Stress
	Trial Stress vector. More...

Eigen::VectorXd	BackStress
	Trial Back stress. More...

Eigen::VectorXd	PlasticStrain
	Trial Plastic strain. More...

Eigen::MatrixXd	TangentStiffness
	Trial Consistent tangent stiffness. More...

Eigen::VectorXd	BackStress_n
	Back stress at time n. More...

Eigen::VectorXd	PlasticStrain_n
	Plastic strain at time n. More...

Eigen::VectorXd	Strain_n
	Strain at time n. More...

Eigen::VectorXd	Stress_n
	Stress vector at time n. More...

Eigen::MatrixXd	TangentStiffness_n
	Consistent tangent stiffness at time n. More...

Detailed Description

Class for creating a triaxial J2 plastic material for three-dimensional elements.

See also: Material.hpp

Constructor & Destructor Documentation

◆ Plastic3DJ2()

Plastic3DJ2::Plastic3DJ2	(	const double	K,
		const double	G,
		const double	rho,
		const double	Hbar,
		const double	beta,
		const double	SigmaY
	)

Creates a Plastic3DJ2 material to be specified at a Gauss-point in an Element.

Parameters

K	The material bulk modulus.
G	The material shear modulus.
rho	The material density.
Hbar	The kinematic hardening modulus.
beta	The linear hardening parameter.
SigmaY	The yield stress.

See also: Plastic3DJ2::K, Plastic3DJ2::G, Plastic3DJ2::Rho, Plastic3DJ2::H, Plastic3DJ2::beta, Plastic3DJ2::SigmaY.

◆ ~Plastic3DJ2()

Plastic3DJ2::~Plastic3DJ2 ( )

Destroys this Plastic3DJ2 material.

Member Function Documentation

◆ CommitState()

void Plastic3DJ2::CommitState ( )

virtual

Perform converged material state update.

Note: This function sets the trail stress and strain as converged.

Implements Material.

◆ ComputeDeviatoricTensor()

Eigen::MatrixXd Plastic3DJ2::ComputeDeviatoricTensor ( ) const

protected

Constructs deviatoric tensor.

Returns: The deviatoric tensor.

◆ ComputeIdentityOperator()

Eigen::MatrixXd Plastic3DJ2::ComputeIdentityOperator ( ) const

protected

Constructs fourth-rank symmetric identity operator.

Returns: A rank-four tensor.

◆ ComputeIdentityTensor()

Eigen::MatrixXd Plastic3DJ2::ComputeIdentityTensor ( ) const

protected

Constructs fourth-rank identity tensor.

Returns: A rank-four tensor.

◆ ComputeIdentityVector()

Eigen::VectorXd Plastic3DJ2::ComputeIdentityVector ( ) const

protected

Constructs a Second Order Identity Tensor.

Returns: The identity second-rank tensor.

◆ ComputeTensorNorm()

double Plastic3DJ2::ComputeTensorNorm ( const Eigen::VectorXd & T )

protected

Computes the norm of a tensor of second-rank.

Parameters

T	A second-rank tensor.

Returns: An scalar with the norm.

◆ ComputeTensorTrace()

double Plastic3DJ2::ComputeTensorTrace ( const Eigen::VectorXd & T )

protected

Computes the trace of a tensor of second-rank.

Parameters

T	A second-rank tensor.

Returns: An scalar with the trace.

◆ CopyMaterial()

std::unique_ptr<Material> Plastic3DJ2::CopyMaterial ( )

virtual

Returns: A Material pointer to the Plastic3DJ2 derived class.

See also: Material, Plastic3DJ2.

Implements Material.

◆ GetBulkModulus()

double Plastic3DJ2::GetBulkModulus ( ) const

virtual

Access bulk modulus.

Returns: The material bulk's modulus.

See also: Plastic3DJ2::K.

Implements Material.

◆ GetDamping()

Eigen::MatrixXd Plastic3DJ2::GetDamping ( ) const

virtual

Returns the material viscous damping.

Returns: Vector with the material damping components.

Implements Material.

◆ GetDensity()

double Plastic3DJ2::GetDensity ( ) const

virtual

Access material density.

Returns: The material density value.

See also: Plastic3DJ2::Rho.

Implements Material.

◆ GetElasticityModulus()

double Plastic3DJ2::GetElasticityModulus ( ) const

virtual

Access modulus of elasticity.

Returns: The material Elasticity's modulus.

Implements Material.

◆ GetEnergy()

double Plastic3DJ2::GetEnergy ( ) const

virtual

Access the material's energy at current strain.

Returns: Scalar with the material energy value.

Implements Material.

◆ GetInitialTangentStiffness()

Eigen::MatrixXd Plastic3DJ2::GetInitialTangentStiffness ( ) const

virtual

Returns the initial material stiffness.

Returns: Matrix with the initial material tangent stiffness matrix.

Note: The initial tangent stiffness matrix is computed when the strain vector is zero.

Implements Material.

◆ GetPoissonRatio()

double Plastic3DJ2::GetPoissonRatio ( ) const

virtual

Returns the Poisson's ratio.

Returns: The material poisson's ratio.

Implements Material.

◆ GetShearModulus()

double Plastic3DJ2::GetShearModulus ( ) const

virtual

Access shear modulus.

Returns: The material shear's modulus.

See also: Plastic3DJ2::G.

Implements Material.

◆ GetStrain()

Eigen::VectorXd Plastic3DJ2::GetStrain ( ) const

virtual

Returns the material strain.

Returns: Vector with the material strain components.

Note: The strain can be revisited in Plastic3DJ2.

See also: Plastic3DJ2::Strain.

Implements Material.

◆ GetStrainRate()

Eigen::VectorXd Plastic3DJ2::GetStrainRate ( ) const

virtual

Returns the material strain rate.

Returns: Vector with the material strain-rate components.

Note: The strain-rate can be revisited in Plastic3DJ2.

Implements Material.

◆ GetStress()

Eigen::VectorXd Plastic3DJ2::GetStress ( ) const

virtual

Returns the material stress.

Returns: Vector with the material stress components.

Note: The stress can be revisited in Plastic3DJ2.

See also: Plastic3DJ2::Stress.

Implements Material.

◆ GetTangentStiffness()

Eigen::MatrixXd Plastic3DJ2::GetTangentStiffness ( ) const

virtual

Returns the material stiffness.

Returns: Matrix with the material consistent tangent stiffness matrix.

Note: The stiffness matrix can be revisited in Plastic3DJ2.

See also: Plastic3DJ2::TangentStiffness.

Implements Material.

◆ GetTotalStress()

Eigen::VectorXd Plastic3DJ2::GetTotalStress ( ) const

virtual

Computes the material total stress.

Returns: Vector with the material total stress components.

See also: Plastic3DJ2::Stress.

Implements Material.

◆ InitialState()

void Plastic3DJ2::InitialState ( )

virtual

Brings the material states to its initial state in the element.

Note: This funtion returns the material states to the beginning.

Implements Material.

◆ ReverseState()

void Plastic3DJ2::ReverseState ( )

virtual

Reverse the material states to previous converged state.

Note: This funtion returns the material states to previous converged states.

Implements Material.

◆ UpdateState()

void Plastic3DJ2::UpdateState	(	const Eigen::VectorXd	strain,
		const unsigned int	cond
	)

virtual

Update the material state for this iteration.

Parameters

strain	Vector with the strain components at this Gauss-point.
cond	If the the elastic/plastic material components will be updated.

Note: This function computes the strain and tanget stiffness matrix once the trial strain converged.

Implements Material.

Member Data Documentation

◆ alpha

double Plastic3DJ2::alpha

private

Trial Internal hardening variable.

◆ alpha_n

double Plastic3DJ2::alpha_n

private

Internal hardening variable at time n.

◆ BackStress

Eigen::VectorXd Plastic3DJ2::BackStress

private

Trial Back stress.

◆ BackStress_n

Eigen::VectorXd Plastic3DJ2::BackStress_n

private

Back stress at time n.

◆ beta

double Plastic3DJ2::beta

private

Linear hardening parameter.

◆ G

double Plastic3DJ2::G

private

Shear modulus.

◆ H

double Plastic3DJ2::H

private

Kinematic hardening modulus.

◆ K

double Plastic3DJ2::K

private

Bulk modulus.

◆ PlasticStrain

Eigen::VectorXd Plastic3DJ2::PlasticStrain

private

Trial Plastic strain.

◆ PlasticStrain_n

Eigen::VectorXd Plastic3DJ2::PlasticStrain_n

private

Plastic strain at time n.

◆ Rho

double Plastic3DJ2::Rho

private

Material density.

◆ SigmaY

double Plastic3DJ2::SigmaY

private

Yield stress.

◆ Strain

Eigen::VectorXd Plastic3DJ2::Strain

private

Trial Strain vector.

◆ Strain_n

Eigen::VectorXd Plastic3DJ2::Strain_n

private

Strain at time n.

◆ Stress

Eigen::VectorXd Plastic3DJ2::Stress

private

Trial Stress vector.

◆ Stress_n

Eigen::VectorXd Plastic3DJ2::Stress_n

private

Stress vector at time n.

◆ TangentStiffness

Eigen::MatrixXd Plastic3DJ2::TangentStiffness

private

Trial Consistent tangent stiffness.

◆ TangentStiffness_n

Eigen::MatrixXd Plastic3DJ2::TangentStiffness_n

private

Consistent tangent stiffness at time n.

Public Member Functions

Protected Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Plastic3DJ2()

◆ ~Plastic3DJ2()

Member Function Documentation

◆ CommitState()

◆ ComputeDeviatoricTensor()

◆ ComputeIdentityOperator()

◆ ComputeIdentityTensor()

◆ ComputeIdentityVector()

◆ ComputeTensorNorm()

◆ ComputeTensorTrace()

◆ CopyMaterial()

◆ GetBulkModulus()

◆ GetDamping()

◆ GetDensity()

◆ GetElasticityModulus()

◆ GetEnergy()

◆ GetInitialTangentStiffness()

◆ GetPoissonRatio()

◆ GetShearModulus()

◆ GetStrain()

◆ GetStrainRate()

◆ GetStress()

◆ GetTangentStiffness()

◆ GetTotalStress()

◆ InitialState()

◆ ReverseState()

◆ UpdateState()

Member Data Documentation

◆ alpha

◆ alpha_n

◆ BackStress

◆ BackStress_n

◆ beta

◆ G

◆ H

◆ K

◆ PlasticStrain

◆ PlasticStrain_n

◆ Rho

◆ SigmaY

◆ Strain

◆ Strain_n

◆ Stress

◆ Stress_n

◆ TangentStiffness

◆ TangentStiffness_n