oomph::IsotropicElasticityTensor Class Reference

#include <elasticity_tensor.h>

Inheritance diagram for oomph::IsotropicElasticityTensor:

Public Member Functions
	IsotropicElasticityTensor (const double &nu, const double &E)
	IsotropicElasticityTensor (const double &nu)
	IsotropicElasticityTensor (const Vector< double > &lame)
void	update_constitutive_parameters (const double &nu, const double &E=1.0)
double	independent_component (const unsigned &i) const
	Overload the independent coefficient function. More...
	IsotropicElasticityTensor (const double &nu, const double &E)
	IsotropicElasticityTensor (const double &nu)
	IsotropicElasticityTensor (const Vector< double > &lame)
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
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)
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
	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

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).

      : ElasticityTensor()
    {
      // Set the three indepdent 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, Global_Parameters::mu, 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.

                                                : ElasticityTensor()
    {
      // Set the three indepdent 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, Global_Parameters::mu, 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

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

References 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).

      : 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, Global_Parameters::mu, 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.

                                                : 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, Global_Parameters::mu, 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

    {
      // 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() [1/2]

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

inlinevirtual

Overload the independent coefficient function.

Reimplemented from oomph::ElasticityTensor.

    {
      return C[StaticIndex[i]];
    }

References 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.

    {
      return C[StaticIndex[i]];
    }

References i, and StaticIndex.

set_lame_coefficients() [1/2]

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

inlineprivate

    {
      C[1] = lambda + 2.0 * mu;
      C[2] = lambda;
      C[3] = mu;
    }

References lambda, and Global_Parameters::mu.

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

    {
      C[1] = lambda + 2.0 * mu;
      C[2] = lambda;
      C[3] = mu;
    }

References lambda, and Global_Parameters::mu.

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).

    {
      // Set the three indepdent 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, Global_Parameters::mu, and set_lame_coefficients().

Member Data Documentation

C

double oomph::IsotropicElasticityTensor::C

private

StaticIndex

static const unsigned oomph::IsotropicElasticityTensor::StaticIndex

staticprivate

Initial value:

= {
    1, 0, 2, 3, 0, 1, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 0, 2, 3, 0, 1}

Translation scheme for the isotropic elasticity tensor.

Referenced by independent_component().

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

• linear_elasticity/elasticity_tensor.h
• linear_elasticity/elasticity_tensor.cc