oomph::DeviatoricIsotropicElasticityTensor Class Reference

#include <elasticity_tensor.h>

Inheritance diagram for oomph::DeviatoricIsotropicElasticityTensor:

Public Member Functions
	DeviatoricIsotropicElasticityTensor ()
	DeviatoricIsotropicElasticityTensor (const double &nu, const double &E)
	DeviatoricIsotropicElasticityTensor (const double &nu)
	DeviatoricIsotropicElasticityTensor (const Vector< double > &lame)
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
virtual void	set_value (const unsigned &i, const unsigned &j, const unsigned &k, const unsigned &l, const double &value)
virtual	~ElasticityTensor ()
	Empty virtual Destructor. More...
double	operator() (const unsigned &i, const unsigned &j, const unsigned &k, const unsigned &l) const

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
	ElasticityTensor ()
	Empty Constructor. More...
void	range_check (const unsigned &i, const unsigned &j, const unsigned &k, const unsigned &l) const
	ElasticityTensor ()
	Empty Constructor. More...
Static Protected Attributes inherited from oomph::ElasticityTensor
static const unsigned	Index [3][3][3][3]

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.

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)

                                          : ElasticityTensor()
    {
      C[0] = 0.0;
      double E = 1.0;
      double nu = 0.5;
      double lambda = 0.0;
      double mu = E / (2.0 * (1.0 + nu));
      this->set_lame_coefficients(lambda, mu);
    }

References Global_Physical_Variables::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).

      : ElasticityTensor()
    {
      // Set the three independent components
      C[0] = 0.0;
      double lambda = E * nu / ((1.0 + nu) * (1.0 - 2.0 * nu));
      double mu = E / (2.0 * (1.0 + nu));
      this->set_lame_coefficients(lambda, mu);
    }

References Global_Physical_Variables::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.

                                                          : ElasticityTensor()
    {
      // Set the three independent components
      C[0] = 0.0;
 
      // reference value
      double E = 1.0;
      double lambda = E * nu / ((1.0 + nu) * (1.0 - 2.0 * nu));
      double mu = E / (2.0 * (1.0 + nu));
      this->set_lame_coefficients(lambda, mu);
    }

References Global_Physical_Variables::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

    {
      // Set the three independent components
      C[0] = 0.0;
      this->set_lame_coefficients(lame[0], lame[1]);
    }

References set_lame_coefficients().

Member Function Documentation

independent_component()

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

inlinevirtual

Overload the independent coefficient function.

Reimplemented from oomph::ElasticityTensor.

    {
      return C[StaticIndex[i]];
    }

References i, and StaticIndex.

lambda()

const double& oomph::DeviatoricIsotropicElasticityTensor::lambda ( ) const

inline

Accessor function for the first lame parameter.

    {
      return Lambda;
    }

References Lambda.

Referenced by DeviatoricIsotropicElasticityTensor(), and set_lame_coefficients().

mu()

const double& oomph::DeviatoricIsotropicElasticityTensor::mu ( ) const

inline

Accessor function for the second lame parameter.

    {
      return Mu;
    }

References Mu.

Referenced by DeviatoricIsotropicElasticityTensor(), and set_lame_coefficients().

set_lame_coefficients()

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

inlineprivate

    {
      C[1] = 2.0 * mu;
      C[2] = mu;
 
      Lambda = lambda;
      Mu = mu;
    }

References Lambda, lambda(), Mu, and mu().

Referenced by DeviatoricIsotropicElasticityTensor().

Member Data Documentation

C

double oomph::DeviatoricIsotropicElasticityTensor::C[3]

private

Lambda

double oomph::DeviatoricIsotropicElasticityTensor::Lambda

private

Referenced by lambda(), and set_lame_coefficients().

Mu

double oomph::DeviatoricIsotropicElasticityTensor::Mu

private

Referenced by mu(), and set_lame_coefficients().

StaticIndex

const unsigned oomph::DeviatoricIsotropicElasticityTensor::StaticIndex

staticprivate

Initial value:

= {
    1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1}

Translation scheme for the deviatoric isotropic elasticity tensor.

Referenced by independent_component().

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

• poroelasticity/elasticity_tensor.h
• poroelasticity/elasticity_tensor.cc