Class for creating an uniaxial isotropic plastic material for one-dimensional elements. More...

#include <Plastic1DJ2.hpp>

Inheritance diagram for Plastic1DJ2:

Collaboration diagram for Plastic1DJ2:

Public Member Functions
	Plastic1DJ2 (const double E, const double nu, const double rho, const double K, const double H, const double SigmaY)
	Creates a Plastic1DJ2 material to be specified at a Gauss-point in an Element. More...

	~Plastic1DJ2 ()
	Destroys this Plastic1DJ2 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...

Private Attributes
double	E
	Modulus of elasticity. More...

double	nu
	Poisson's ratio. More...

double	Rho
	Material density. More...

double	K
	Plastic modulus. More...

double	H
	Kinematic hardening modulus. More...

double	SigmaY
	Yield stress. More...

double	alpha
	Internal hardening variable. More...

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

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

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

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

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

Eigen::MatrixXd	TangentStiffness
	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 an uniaxial isotropic plastic material for one-dimensional elements.

See also: Material.hpp

Constructor & Destructor Documentation

◆ Plastic1DJ2()

Plastic1DJ2::Plastic1DJ2	(	const double	E,
		const double	nu,
		const double	rho,
		const double	K,
		const double	H,
		const double	SigmaY
	)

Creates a Plastic1DJ2 material to be specified at a Gauss-point in an Element.

Parameters

E	The material elasticity modulus.
nu	The material Poisson's ratio.
rho	The material density.
K	The plastic modulus.
H	The hardening parameter.
SigmaY	The yield stress.

See also: Plastic1DJ2::E, Plastic1DJ2::nu, Plastic1DJ2::Rho, Plastic1DJ2::H, Plastic1DJ2::K, Plastic1DJ2::SigmaY.

◆ ~Plastic1DJ2()

Plastic1DJ2::~Plastic1DJ2 ( )

Destroys this Plastic1DJ2 material.

Member Function Documentation

◆ CommitState()

void Plastic1DJ2::CommitState ( )

virtual

Perform converged material state update.

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

Implements Material.

◆ CopyMaterial()

std::unique_ptr<Material> Plastic1DJ2::CopyMaterial ( )

virtual

Returns: A Material pointer to the Plastic1DJ2 derived class.

See also: Material, Plastic1DJ2.

Implements Material.

◆ GetBulkModulus()

double Plastic1DJ2::GetBulkModulus ( ) const

virtual

Access bulk modulus.

Returns: The material bulk's modulus.

Implements Material.

◆ GetDamping()

Eigen::MatrixXd Plastic1DJ2::GetDamping ( ) const

virtual

Returns the material viscous damping.

Returns: Vector with the material damping components.

See also: Plastic1DJ2::Damping.

Implements Material.

◆ GetDensity()

double Plastic1DJ2::GetDensity ( ) const

virtual

Access material density.

Returns: The material density value.

See also: Plastic1DJ2::Rho.

Implements Material.

◆ GetElasticityModulus()

double Plastic1DJ2::GetElasticityModulus ( ) const

virtual

Access modulus of elasticity.

Returns: The material Elasticity's (E) modulus.

See also: Plastic1DJ2::E.

Implements Material.

◆ GetEnergy()

double Plastic1DJ2::GetEnergy ( ) const

virtual

Access the material's energy at current strain.

Returns: Scalar with the material energy value.

Implements Material.

◆ GetInitialTangentStiffness()

Eigen::MatrixXd Plastic1DJ2::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 Plastic1DJ2::GetPoissonRatio ( ) const

virtual

Returns the Poisson's ratio.

Returns: The material poisson's ratio.

See also: Plastic1DJ2::nu.

Implements Material.

◆ GetShearModulus()

double Plastic1DJ2::GetShearModulus ( ) const

virtual

Access shear modulus.

Returns: The material shear's modulus.

Implements Material.

◆ GetStrain()

Eigen::VectorXd Plastic1DJ2::GetStrain ( ) const

virtual

Returns the material strain.

Returns: Vector with the material strain components.

Note: The strain can be revisited in Plastic1DJ2.

See also: Plastic1DJ2::Strain.

Implements Material.

◆ GetStrainRate()

Eigen::VectorXd Plastic1DJ2::GetStrainRate ( ) const

virtual

Returns the material strain rate.

Returns: Vector with the material strain-rate components.

Note: The strain-rate can be revisited in Plastic1DJ2.

See also: Plastic1DJ2::StrainRate.

Implements Material.

◆ GetStress()

Eigen::VectorXd Plastic1DJ2::GetStress ( ) const

virtual

Returns the material stress.

Returns: Vector with the material stress components.

Note: The stress can be revisited in Plastic1DJ2.

See also: Plastic1DJ2::Stress.

Implements Material.

◆ GetTangentStiffness()

Eigen::MatrixXd Plastic1DJ2::GetTangentStiffness ( ) const

virtual

Returns the material stiffness.

Returns: Matrix with the material consistent tangent stiffness matrix.

Note: The stiffness matrix can be revisited in Plastic1DJ2.

See also: Plastic1DJ2::TangentStiffness.

Implements Material.

◆ GetTotalStress()

Eigen::VectorXd Plastic1DJ2::GetTotalStress ( ) const

virtual

Computes the material total stress.

Returns: Vector with the material total stress components.

See also: Plastic1DJ2::Stress.

Implements Material.

◆ InitialState()

void Plastic1DJ2::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 Plastic1DJ2::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 Plastic1DJ2::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 Plastic1DJ2::alpha

private

Internal hardening variable.

◆ alpha_n

double Plastic1DJ2::alpha_n

private

Internal hardening variable at time n.

◆ BackStress

Eigen::VectorXd Plastic1DJ2::BackStress

private

Back stress.

◆ BackStress_n

Eigen::VectorXd Plastic1DJ2::BackStress_n

private

Back stress at time n.

◆ E

double Plastic1DJ2::E

private

Modulus of elasticity.

◆ H

double Plastic1DJ2::H

private

Kinematic hardening modulus.

◆ K

double Plastic1DJ2::K

private

Plastic modulus.

◆ nu

double Plastic1DJ2::nu

private

Poisson's ratio.

◆ PlasticStrain

Eigen::VectorXd Plastic1DJ2::PlasticStrain

private

Plastic strain.

◆ PlasticStrain_n

Eigen::VectorXd Plastic1DJ2::PlasticStrain_n

private

Plastic strain at time n.

◆ Rho

double Plastic1DJ2::Rho

private

Material density.

◆ SigmaY

double Plastic1DJ2::SigmaY

private

Yield stress.

◆ Strain

Eigen::VectorXd Plastic1DJ2::Strain

private

Strain vector.

◆ Strain_n

Eigen::VectorXd Plastic1DJ2::Strain_n

private

Strain at time n.

◆ Stress

Eigen::VectorXd Plastic1DJ2::Stress

private

Stress vector.

◆ Stress_n

Eigen::VectorXd Plastic1DJ2::Stress_n

private

Stress vector at time n.

◆ TangentStiffness

Eigen::MatrixXd Plastic1DJ2::TangentStiffness

private

Consistent tangent stiffness.

◆ TangentStiffness_n

Eigen::MatrixXd Plastic1DJ2::TangentStiffness_n

private

Consistent tangent stiffness at time n.

Public Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Plastic1DJ2()

◆ ~Plastic1DJ2()

Member Function Documentation

◆ CommitState()

◆ 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

◆ E

◆ H

◆ K

◆ nu

◆ PlasticStrain

◆ PlasticStrain_n

◆ Rho

◆ SigmaY

◆ Strain

◆ Strain_n

◆ Stress

◆ Stress_n

◆ TangentStiffness

◆ TangentStiffness_n