An isotropic elasticity tensor defined in terms of Young's modulus and Poisson's ratio. The elasticity tensor is assumed to be non-dimensionalised on some reference value for Young's modulus so the value provided to the constructor (if any) is to be interpreted as the ratio of the actual Young's modulus to the Young's modulus used to non-dimensionalise the stresses/tractions in the governing equations. More...

#include <elasticity_tensor.h>

Inheritance diagram for oomph::IsotropicElasticityTensor:

Public Member Functions
	IsotropicElasticityTensor (const double &nu, const double &E)
	Constructor. Passing in the values of the Poisson's ratio and Young's modulus (interpreted as the ratio of the actual Young's modulus to the Young's modulus (or other reference stiffness) used to non-dimensionalise stresses and tractions in the governing equations). More...

	IsotropicElasticityTensor (const double &nu)
	Constructor. Passing in the value of the Poisson's ratio. Stresses and tractions in the governing equations are assumed to have been non-dimensionalised on Young's modulus. More...

	IsotropicElasticityTensor (const Vector< double > &lame)
	Constructur. Passing in the values of the two lame coefficients directly (interpreted as the ratios of these quantities to a reference stiffness used to non-dimensionalised. More...

void	update_constitutive_parameters (const double &nu, const double &E=1.0)
	Update parameters: Specify values of the Poisson's ratio and (optionally) Young's modulus (interpreted as the ratio of the actual Young's modulus to the Young's modulus (or other reference stiffness) used to non-dimensionalise stresses and tractions in the governing equations). More...

double	independent_component (const unsigned &i) const
	Overload the independent coefficient function. More...

	IsotropicElasticityTensor (const double &nu, const double &E)
	Constructor. Passing in the values of the Poisson's ratio and Young's modulus (interpreted as the ratio of the actual Young's modulus to the Young's modulus (or other reference stiffness) used to non-dimensionalise stresses and tractions in the governing equations). More...

	IsotropicElasticityTensor (const double &nu)
	Constructor. Passing in the value of the Poisson's ratio. Stresses and tractions in the governing equations are assumed to have been non-dimensionalised on Young's modulus. More...

	IsotropicElasticityTensor (const Vector< double > &lame)
	Constructur. Passing in the values of the two lame coefficients directly (interpreted as the ratios of these quantities to a reference stiffness used to non-dimensionalised. More...

double	independent_component (const unsigned &i) const
	Overload the independent coefficient function. More...

Public Member Functions inherited from oomph::ElasticityTensor
virtual	~ElasticityTensor ()
	Empty virtual Destructor. More...

double	operator() (const unsigned &i, const unsigned &j, const unsigned &k, const unsigned &l) const
	Return the appropriate independent component via the index translation scheme (const version). More...

virtual void	set_value (const unsigned &i, const unsigned &j, const unsigned &k, const unsigned &l, const double &value)
	Allow the values to be set (virtual function that must be overloaded if values can be set directly. More...

virtual	~ElasticityTensor ()
	Empty virtual Destructor. More...

double	operator() (const unsigned &i, const unsigned &j, const unsigned &k, const unsigned &l) const
	Return the appropriate independent component via the index translation scheme (const version). More...

Private Member Functions
void	set_lame_coefficients (const double &lambda, const double &mu)

void	set_lame_coefficients (const double &lambda, const double &mu)

Private Attributes
double	C [4]

Static Private Attributes
static const unsigned	StaticIndex [21]
	Translation scheme for the isotropic elasticity tensor. More...

Additional Inherited Members
Protected Member Functions inherited from oomph::ElasticityTensor
void	range_check (const unsigned &i, const unsigned &j, const unsigned &k, const unsigned &l) const
	Helper range checking function (Note that this only captures over-runs in 3D but errors are likely to be caught in evaluation of the stress and strain tensors anyway...) More...

	ElasticityTensor ()
	Empty Constructor. More...

void	range_check (const unsigned &i, const unsigned &j, const unsigned &k, const unsigned &l) const
	Helper range checking function (Note that this only captures over-runs in 3D but errors are likely to be caught in evaluation of the stress and strain tensors anyway...) More...

	ElasticityTensor ()
	Empty Constructor. More...

Static Protected Attributes inherited from oomph::ElasticityTensor
static const unsigned	Index [3][3][3][3]
	Translation table from the four indices to the corresponding independent component. More...

Detailed Description

An isotropic elasticity tensor defined in terms of Young's modulus and Poisson's ratio. The elasticity tensor is assumed to be non-dimensionalised on some reference value for Young's modulus so the value provided to the constructor (if any) is to be interpreted as the ratio of the actual Young's modulus to the Young's modulus used to non-dimensionalise the stresses/tractions in the governing equations.

Definition at line 159 of file linear_elasticity/elasticity_tensor.h.

Constructor & Destructor Documentation

◆ IsotropicElasticityTensor() [1/6]

oomph::IsotropicElasticityTensor::IsotropicElasticityTensor	(	const double &	nu,
		const double &	E
	)

inline

Constructor. Passing in the values of the Poisson's ratio and Young's modulus (interpreted as the ratio of the actual Young's modulus to the Young's modulus (or other reference stiffness) used to non-dimensionalise stresses and tractions in the governing equations).

Definition at line 174 of file linear_elasticity/elasticity_tensor.h.

References C, oomph::QuadTreeNames::E, and set_lame_coefficients().

◆ IsotropicElasticityTensor() [2/6]

oomph::IsotropicElasticityTensor::IsotropicElasticityTensor ( const double & nu )

inline

Constructor. Passing in the value of the Poisson's ratio. Stresses and tractions in the governing equations are assumed to have been non-dimensionalised on Young's modulus.

Definition at line 187 of file linear_elasticity/elasticity_tensor.h.

References C, oomph::QuadTreeNames::E, and set_lame_coefficients().

◆ IsotropicElasticityTensor() [3/6]

oomph::IsotropicElasticityTensor::IsotropicElasticityTensor ( const Vector< double > & lame )

inline

Constructur. Passing in the values of the two lame coefficients directly (interpreted as the ratios of these quantities to a reference stiffness used to non-dimensionalised.

Definition at line 202 of file linear_elasticity/elasticity_tensor.h.

References C, and set_lame_coefficients().

◆ IsotropicElasticityTensor() [4/6]

oomph::IsotropicElasticityTensor::IsotropicElasticityTensor	(	const double &	nu,
		const double &	E
	)

inline

Constructor. Passing in the values of the Poisson's ratio and Young's modulus (interpreted as the ratio of the actual Young's modulus to the Young's modulus (or other reference stiffness) used to non-dimensionalise stresses and tractions in the governing equations).

Definition at line 160 of file poroelasticity/elasticity_tensor.h.

References C, oomph::QuadTreeNames::E, and set_lame_coefficients().

◆ IsotropicElasticityTensor() [5/6]

oomph::IsotropicElasticityTensor::IsotropicElasticityTensor ( const double & nu )

inline

Constructor. Passing in the value of the Poisson's ratio. Stresses and tractions in the governing equations are assumed to have been non-dimensionalised on Young's modulus.

Definition at line 173 of file poroelasticity/elasticity_tensor.h.

References C, oomph::QuadTreeNames::E, and set_lame_coefficients().

◆ IsotropicElasticityTensor() [6/6]

oomph::IsotropicElasticityTensor::IsotropicElasticityTensor ( const Vector< double > & lame )

inline

Constructur. Passing in the values of the two lame coefficients directly (interpreted as the ratios of these quantities to a reference stiffness used to non-dimensionalised.

Definition at line 188 of file poroelasticity/elasticity_tensor.h.

References C, and set_lame_coefficients().

Member Function Documentation

◆ independent_component() [1/2]

double oomph::IsotropicElasticityTensor::independent_component ( const unsigned & i ) const

inlinevirtual

Overload the independent coefficient function.

Reimplemented from oomph::ElasticityTensor.

Definition at line 225 of file linear_elasticity/elasticity_tensor.h.

References C, i, and StaticIndex.

◆ independent_component() [2/2]

double oomph::IsotropicElasticityTensor::independent_component ( const unsigned & i ) const

inlinevirtual

Overload the independent coefficient function.

Reimplemented from oomph::ElasticityTensor.

Definition at line 197 of file poroelasticity/elasticity_tensor.h.

References C, i, and StaticIndex.

◆ set_lame_coefficients() [1/2]

void oomph::IsotropicElasticityTensor::set_lame_coefficients	(	const double &	lambda,
		const double &	mu
	)

inlineprivate

Definition at line 233 of file linear_elasticity/elasticity_tensor.h.

References C.

Referenced by IsotropicElasticityTensor(), and update_constitutive_parameters().

◆ set_lame_coefficients() [2/2]

void oomph::IsotropicElasticityTensor::set_lame_coefficients	(	const double &	lambda,
		const double &	mu
	)

inlineprivate

Definition at line 205 of file poroelasticity/elasticity_tensor.h.

References C.

◆ update_constitutive_parameters()

void oomph::IsotropicElasticityTensor::update_constitutive_parameters	(	const double &	nu,
		const double &	E = `1.0`
	)

inline

Update parameters: Specify values of the Poisson's ratio and (optionally) Young's modulus (interpreted as the ratio of the actual Young's modulus to the Young's modulus (or other reference stiffness) used to non-dimensionalise stresses and tractions in the governing equations).

Definition at line 214 of file linear_elasticity/elasticity_tensor.h.

References C, oomph::QuadTreeNames::E, and set_lame_coefficients().