Implementation of a linear elastic material for 3D stress states. More...

#include <LinearElastic.h>

Inheritance diagram for Marmot::Materials::LinearElastic:

Public Member Functions
	LinearElastic (const double *materialProperties, int nMaterialProperties, int materialNumber)

Public Member Functions inherited from MarmotMaterialHypoElastic
void	setCharacteristicElementLength (double length)

virtual void	computeStress (double stress, double dStressDDStrain, const double FOld, const double FNew, const double *timeOld, const double dT, double &pNewDT) override

virtual void	computePlaneStress (double stress2D, double dStress_dStrain2D, const double dStrain2D, const double timeOld, const double dT, double &pNewDT)

virtual void	computeUniaxialStress (double stress1D, double dStress_dStrain1D, const double dStrain, const double timeOld, const double dT, double &pNewDT)

virtual void	computePlaneStress (double stress2D, double dStress_dF2DNew, const double FOld2D, const double FNew2D, const double *timeOld, const double dT, double &pNewDT)

virtual void	computeUniaxialStress (double stress1D, double dStress1D_dF1DNew, const double F1DOld, const double F1DNew, const double *timeOld, const double dT, double &pNewDT)

Public Member Functions inherited from MarmotMaterialMechanical
virtual void	computePlaneStress (double stress2D, double dStress_dF2DNew, const double FOld2D, const double FNew2D, const double *timeOld, const double dT, double &pNewDT)

virtual void	computeUniaxialStress (double stress1D, double dStress1D_dF1DNew, const double F1DOld, const double F1DNew, const double *timeOld, const double dT, double &pNewDT)

	MarmotMaterial (const double *materialProperties, int nMaterialProperties, int materialNumber)

Public Member Functions inherited from MarmotMaterial
	MarmotMaterial (const double *materialProperties, int nMaterialProperties, int materialNumber)

virtual	~MarmotMaterial ()

virtual void	assignStateVars (double *stateVars, int nStateVars)

double *	getAssignedStateVars ()

int	getNumberOfAssignedStateVars ()

virtual void	initializeYourself ()

Protected Types
enum	Type { Type::Isotropic = 2, Type::TransverseIsotropic = 8, Type::Orthotropic = 12 }
	Type of anisotropic behavior. More...

Protected Member Functions
void	computeStress (double stress, double dStressDDStrain, const double dStrain, const double timeOld, const double dT, double &pNewDT)

StateView	getStateView (const std::string &result)

int	getNumberOfRequiredStateVars ()

Protected Attributes
enum Marmot::Materials::LinearElastic::Type	anisotropicType

const double &	E1
	Young's modulus in x1 - direction. More...

const double &	E2
	Young's modulus in x2 - direction. More...

const double &	E3
	Young's modulus in x3 - direction. More...

const double &	nu12
	Poisson's ratio between axis x1 and x2. More...

const double &	nu23
	Poisson's ratio between axis x2 and x3. More...

const double &	nu13
	Poisson's ratio between axis x1 and x3. More...

const double	G12
	Shear modulus between axis x1 and x2. More...

const double	G23
	Shear modulus between axis x2 and x3. More...

const double &	G13
	Shear modulus between axis x1 and x3. More...

Matrix6d	C
	Material stiffness tensor. More...

Protected Attributes inherited from MarmotMaterial
const double *	materialProperties

const int	nMaterialProperties

double *	stateVars

int	nStateVars

Additional Inherited Members
Public Attributes inherited from MarmotMaterialHypoElastic
double	characteristicElementLength
	Characteristic element length. More...

Public Attributes inherited from MarmotMaterial
const int	materialNumber

Detailed Description

Implementation of a linear elastic material for 3D stress states.

For further information see Linear Elastic.

Member Enumeration Documentation

◆ Type

enum Marmot::Materials::LinearElastic::Type

strongprotected

Type of anisotropic behavior.

Type is an enum class which involves the following case:

Enumerator
Isotropic	Number of materialProperties equals 2.
TransverseIsotropic	Number of materialProperties equals 8. 5 to describe the material behavior and 3 components of a normal vector. The latter corresponds to the x1 - axis of the principal material directions and defines the materials plane of isotropy (directions x2 and x3).
Orthotropic	Number of materialProperties equals 12. 9 to describe material behavior and 3 components of a normal vector. The latter corresponds to the x1 - axis of the principal material directions.

Constructor & Destructor Documentation

◆ LinearElastic()

Marmot::Materials::LinearElastic::LinearElastic	(	const double *	materialProperties,
		int	nMaterialProperties,
		int	materialNumber
	)

Member Function Documentation

◆ computeStress()

void Marmot::Materials::LinearElastic::computeStress	(	double *	stress,
		double *	dStressDDStrain,
		const double *	dStrain,
		const double *	timeOld,
		const double	dT,
		double &	pNewDT
	)

protectedvirtual

For a given linearized strain increment \(\Delta\boldsymbol{\varepsilon}\) at the old and the current time, compute the Cauchy stress and the algorithmic tangent \(\frac{\partial\boldsymbol{\sigma}^{(n+1)}}{\partial\boldsymbol{\varepsilon}^{(n+1)}}\).

Parameters

[in,out]	stress	Cauchy stress
[in,out]	dStressDDstrain	Algorithmic tangent representing the derivative of the Cauchy stress tensor with respect to the linearized strain
[in]	dStrain	linearized strain increment
[in]	timeOld	Old (pseudo-)time
[in]	dt	(Pseudo-)time increment from the old (pseudo-)time to the current (pseudo-)time
[in,out]	pNewDT	Suggestion for a new time increment

Implements MarmotMaterialHypoElastic.

◆ getStateView()

StateView Marmot::Materials::LinearElastic::getStateView ( const std::string & result )

inlineprotectedvirtual

Implements MarmotMaterial.

◆ getNumberOfRequiredStateVars()

int Marmot::Materials::LinearElastic::getNumberOfRequiredStateVars ( )

inlineprotectedvirtual

Implements MarmotMaterial.

Member Data Documentation

◆ anisotropicType

enum Marmot::Materials::LinearElastic::Type Marmot::Materials::LinearElastic::anisotropicType

protected

anisotropicType represents the directional dependence of the material behavior. It is a representative of the enum class Type.

◆ E1

const double& Marmot::Materials::LinearElastic::E1

protected

Young's modulus in x1 - direction.

E1 represents the Young's modulus effective in the direction of the x1 - axis of the user defined local coordinate system. It is a reference variable to materialProperties[0].

◆ E2

const double& Marmot::Materials::LinearElastic::E2

protected

Young's modulus in x2 - direction.

E2 represents the Young's modulus effective in the direction of the x2 - axis of a user defined local coordinate system. In case of isotropic behavior it is set to E1 and does not need to be specified. Otherwise it is a reference variable to materialProperties[1].

◆ E3

const double& Marmot::Materials::LinearElastic::E3

protected

Young's modulus in x3 - direction.

E3 represents the Young's modulus effective in the direction of the x3 - axis of a user defined local coordinate system. In case of orthotropic behavior it needs to be specified and is a reference variable to materialProperties[2].

In case of transverse isotropic and isotropic behavior it is automatically set to E2 and does not need to be specified.

◆ nu12

const double& Marmot::Materials::LinearElastic::nu12

protected

Poisson's ratio between axis x1 and x2.

nu12 represents the Poisson's ratio effective between the x1 and x2 - axis of the user defined local coordinate system. Depending on the anisotropic type it is a reference variable to:

Isotropic: materialProperties[1]
TransverseIsotropic: materialProperties[2]
Orthotropic: materialProperties[3].

◆ nu23

const double& Marmot::Materials::LinearElastic::nu23

protected

Poisson's ratio between axis x2 and x3.

nu23 represents the Poisson's ratio effective between the x2 and x3 - axis of the user defined local coordinate system. Depending on the anisotropic type it is a reference variable to:

TransverseIsotropic: materialProperties[3]
Orthotropic: materialProperties[4].

In case of isotropic behavior it is set to nu12 and does not need to be specified.

◆ nu13

const double& Marmot::Materials::LinearElastic::nu13

protected

Poisson's ratio between axis x1 and x3.

nu13 represents the Poisson's ratio effective between the x1 and x3 - axis of the user defined local coordinate system. In case of orthotropic behavior it needs to be specified and is a reference variable to materialProperties[5].

In case of transverse isotropic and isotropic behavior it is set to nu23 and does not need to be specified.

◆ G12

const double Marmot::Materials::LinearElastic::G12

protected

Shear modulus between axis x1 and x2.

G12 represents the Shear modulus effective between the x1 and x2 - axis of the user defined local coordinate system. In case of isotropic behavior, it does not need to be specified and is set to \( \frac{E_1}{2 \cdot ( 1 + \nu_{12})}\). Otherwise, depending on the anisotropic type it is a reference variable to:

TransverseIsotropic: materialProperties[4].
Orthotropic: materialProperties[6].

◆ G23

const double Marmot::Materials::LinearElastic::G23

protected

Shear modulus between axis x2 and x3.

G23 represents the Shear modulus effective between the x2 and x3 - axis of the user defined local coordinate system. Neither isotropic nor transversal isotropic behavior needs to be specified. In case of isotropic behavior it is set to G12 and in case of transverse isotropic behavior it is set to \( \frac{E_2}{2 \cdot ( 1 + \nu_{23})}\) In case of orthotropic behavior it is a reference variable to materialProperties[7].

◆ G13

const double& Marmot::Materials::LinearElastic::G13

protected

Shear modulus between axis x1 and x3.

G13 represents the Shear modulus effective between the x1 and x3 - axis of the user defined local coordinate system. Neither isotropic nor transversal isotropic behavior needs to be specified and it is set in both cases to G12. In case of orthotropic behavior it is a reference variable to materialProperties[8].

◆ C

Matrix6d Marmot::Materials::LinearElastic::C

protected

Material stiffness tensor.

C represents the materials stiffness tensor in voigt notation. It is calculated by the functions implemented in MarmotElasticity.h .

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

modules/materials/LinearElastic/include/Marmot/LinearElastic.h
modules/materials/LinearElastic/src/LinearElastic.cpp

Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Member Enumeration Documentation

◆ Type

Constructor & Destructor Documentation

◆ LinearElastic()

Member Function Documentation

◆ computeStress()

◆ getStateView()

◆ getNumberOfRequiredStateVars()

Member Data Documentation

◆ anisotropicType

◆ E1

◆ E2

◆ E3

◆ nu12

◆ nu23

◆ nu13

◆ G12

◆ G23

◆ G13

◆ C