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 <pml_time_harmonic_elasticity_tensor.h>

Inheritance diagram for oomph::PMLTimeHarmonicIsotropicElasticityTensor:

Public Member Functions
	PMLTimeHarmonicIsotropicElasticityTensor (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...

	PMLTimeHarmonicIsotropicElasticityTensor (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...

double	nu () const
	Poisson's ratio. 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...

std::complex< double >	independent_component (const unsigned &i) const
	Overload the independent coefficient function. More...

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

std::complex< 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
std::complex< double >	C [4]
	Storage for the independent components of the elasticity tensor. More...

double	Nu
	Poisson's ratio. More...

Static Private Attributes
static const unsigned	StaticIndex [21]
	Translation scheme between the 21 independent components of the general elasticity tensor and the isotropic case. More...

Additional Inherited Members
Protected Member Functions inherited from oomph::PMLTimeHarmonicElasticityTensor
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...

	PMLTimeHarmonicElasticityTensor ()
	Empty Constructor. 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 148 of file pml_time_harmonic_elasticity_tensor.h.

Constructor & Destructor Documentation

◆ PMLTimeHarmonicIsotropicElasticityTensor() [1/2]

oomph::PMLTimeHarmonicIsotropicElasticityTensor::PMLTimeHarmonicIsotropicElasticityTensor	(	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 167 of file pml_time_harmonic_elasticity_tensor.h.

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

◆ PMLTimeHarmonicIsotropicElasticityTensor() [2/2]

oomph::PMLTimeHarmonicIsotropicElasticityTensor::PMLTimeHarmonicIsotropicElasticityTensor ( 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 180 of file pml_time_harmonic_elasticity_tensor.h.

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

Member Function Documentation

◆ independent_component()

std::complex<double> oomph::PMLTimeHarmonicIsotropicElasticityTensor::independent_component ( const unsigned & i ) const

inlinevirtual

Overload the independent coefficient function.

Reimplemented from oomph::PMLTimeHarmonicElasticityTensor.

Definition at line 215 of file pml_time_harmonic_elasticity_tensor.h.

References C, i, and StaticIndex.

◆ nu()

double oomph::PMLTimeHarmonicIsotropicElasticityTensor::nu ( ) const

inline

Poisson's ratio.

Definition at line 194 of file pml_time_harmonic_elasticity_tensor.h.

References Nu.

Referenced by oomph::PMLTimeHarmonicLinearElasticityEquationsBase< DIM >::nu(), PMLTimeHarmonicIsotropicElasticityTensor(), and update_constitutive_parameters().

◆ set_lame_coefficients()

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

inlineprivate

Definition at line 223 of file pml_time_harmonic_elasticity_tensor.h.

References C.

Referenced by PMLTimeHarmonicIsotropicElasticityTensor(), and update_constitutive_parameters().

◆ update_constitutive_parameters()

void oomph::PMLTimeHarmonicIsotropicElasticityTensor::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 204 of file pml_time_harmonic_elasticity_tensor.h.

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