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::DeviatoricIsotropicElasticityTensor:

Public Member Functions
	DeviatoricIsotropicElasticityTensor ()
	Constructor. For use with incompressibility. Requires no parameters since Poisson's ratio is fixed at 0.5 and lambda is set to a dummy value of 0 (since it would be infinite) More...

	DeviatoricIsotropicElasticityTensor (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...

	DeviatoricIsotropicElasticityTensor (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...

	DeviatoricIsotropicElasticityTensor (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...

const double &	lambda () const
	Accessor function for the first lame parameter. More...

const double &	mu () const
	Accessor function for the second lame parameter. 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)

Private Attributes
double	C [3]

double	Lambda

double	Mu

Static Private Attributes
static const unsigned	StaticIndex [21]
	Translation scheme for the deviatoric 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 223 of file poroelasticity/elasticity_tensor.h.

Constructor & Destructor Documentation

◆ DeviatoricIsotropicElasticityTensor() [1/4]

oomph::DeviatoricIsotropicElasticityTensor::DeviatoricIsotropicElasticityTensor ( )

inline

Constructor. For use with incompressibility. Requires no parameters since Poisson's ratio is fixed at 0.5 and lambda is set to a dummy value of 0 (since it would be infinite)

Definition at line 242 of file poroelasticity/elasticity_tensor.h.

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

◆ DeviatoricIsotropicElasticityTensor() [2/4]

oomph::DeviatoricIsotropicElasticityTensor::DeviatoricIsotropicElasticityTensor	(	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 257 of file poroelasticity/elasticity_tensor.h.

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

◆ DeviatoricIsotropicElasticityTensor() [3/4]

oomph::DeviatoricIsotropicElasticityTensor::DeviatoricIsotropicElasticityTensor ( 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 270 of file poroelasticity/elasticity_tensor.h.

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

◆ DeviatoricIsotropicElasticityTensor() [4/4]

oomph::DeviatoricIsotropicElasticityTensor::DeviatoricIsotropicElasticityTensor ( 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 285 of file poroelasticity/elasticity_tensor.h.

References C, and set_lame_coefficients().