Kaskade::Elastomechanics::ElasticModulus Class Reference

Material parameters for isotropic linearly elastic materials. More...

#include <elasto.hh>

Detailed Description

Material parameters for isotropic linearly elastic materials.

Definition at line 52 of file elasto.hh.

Public Member Functions
	ElasticModulus ()
	Default constructor uses \( \lambda=\mu=1 \mathrm{Pa} \) (pretty useless "unit square" material). More...
	ElasticModulus (double lambda_, double mu_)
	Constructor expects first and second Lame parameters \( \lambda, \mu \). More...
	ElasticModulus (std::string const &name)
	Constructs elastic modulus by material lookup. More...
ElasticModulus &	setYoungPoisson (double E, double nu)
	Define material properties in terms of Young's modulus \( E \) and Poisson's ratio \( \nu \). More...
double	shear () const
	Returns the shear modulus \( G \), also known as Lame's second parameter \( \mu \). More...
double	bulk () const
	Returns the bulk modulus \( K \). More...
double	young () const
	Returns the Young's modulus \( E \). More...
double	lame () const
	Returns the first Lame parameter \( \lambda \). More...
double	poisson () const
	Returns Poisson's ratio \( \nu \). More...

Static Public Member Functions
static ElasticModulus const &	material (std::string const &name)
	Returns the material parameters of the given materials. More...
static std::map< std::string, ElasticModulus > const &	materials ()
	A map from known material names to elastic moduli. More...

Constructor & Destructor Documentation

ElasticModulus() [1/3]

Kaskade::Elastomechanics::ElasticModulus::ElasticModulus ( )

inline

Default constructor uses \( \lambda=\mu=1 \mathrm{Pa} \) (pretty useless "unit square" material).

Definition at line 56 of file elasto.hh.

ElasticModulus() [2/3]

Kaskade::Elastomechanics::ElasticModulus::ElasticModulus ( double  lambda_, double  mu_  )

inline

Constructor expects first and second Lame parameters \( \lambda, \mu \).

Definition at line 59 of file elasto.hh.

ElasticModulus() [3/3]

Kaskade::Elastomechanics::ElasticModulus::ElasticModulus ( std::string const &  name )

inline

Constructs elastic modulus by material lookup.

Definition at line 64 of file elasto.hh.

Member Function Documentation

bulk()

double Kaskade::Elastomechanics::ElasticModulus::bulk ( ) const

inline

Returns the bulk modulus \( K \).

Definition at line 79 of file elasto.hh.

lame()

double Kaskade::Elastomechanics::ElasticModulus::lame ( ) const

inline

Returns the first Lame parameter \( \lambda \).

Definition at line 85 of file elasto.hh.

Referenced by Kaskade::Elastomechanics::MaterialLaws::OrthotropicLinearMaterial< dim, Scalar >::OrthotropicLinearMaterial(), Kaskade::Elastomechanics::MaterialLaws::OrthotropicNonLinearMaterial< dim, Scalar >::OrthotropicNonLinearMaterial(), and Kaskade::Elastomechanics::LameNavier< dim_, Scalar_ >::setElasticModuli().

material()

static ElasticModulus const & Kaskade::Elastomechanics::ElasticModulus::material ( std::string const &  name )

static

Returns the material parameters of the given materials.

Throws a LookupException if the material is not available in the data base.

materials()

static std::map< std::string, ElasticModulus > const & Kaskade::Elastomechanics::ElasticModulus::materials ( )

static

A map from known material names to elastic moduli.

Use this to inquire the list of known materials

poisson()

double Kaskade::Elastomechanics::ElasticModulus::poisson ( ) const

inline

Returns Poisson's ratio \( \nu \).

Definition at line 88 of file elasto.hh.

setYoungPoisson()

ElasticModulus & Kaskade::Elastomechanics::ElasticModulus::setYoungPoisson	(	double	E,
		double	nu
	)

Define material properties in terms of Young's modulus \( E \) and Poisson's ratio \( \nu \).

This results in

\[ \mu = \frac{E}{2(1+\nu)}, \quad \lambda = \frac{E\nu}{(1+\nu)(1-2\nu)}.\]

shear()

double Kaskade::Elastomechanics::ElasticModulus::shear ( ) const

inline

Returns the shear modulus \( G \), also known as Lame's second parameter \( \mu \).

Definition at line 76 of file elasto.hh.

Referenced by Kaskade::Elastomechanics::MaterialLaws::OrthotropicLinearMaterial< dim, Scalar >::OrthotropicLinearMaterial(), Kaskade::Elastomechanics::MaterialLaws::OrthotropicNonLinearMaterial< dim, Scalar >::OrthotropicNonLinearMaterial(), and Kaskade::Elastomechanics::LameNavier< dim_, Scalar_ >::setElasticModuli().

young()

double Kaskade::Elastomechanics::ElasticModulus::young ( ) const

inline

Returns the Young's modulus \( E \).

Definition at line 82 of file elasto.hh.

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

• elasto.hh