oomph::MooneyRivlin Class Reference

#include <constitutive_laws.h>

Inheritance diagram for oomph::MooneyRivlin:

Public Member Functions
	MooneyRivlin (double *c1_pt, double *c2_pt)
	Constructor takes the pointer to the value of the constants. More...
virtual	~MooneyRivlin ()
	Empty Virtual destructor. More...
double	W (const DenseMatrix< double > &gamma)
	Return the strain energy in terms of strain tensor. More...
double	W (const Vector< double > &I)
	Return the strain energy in terms of the strain invariants. More...
void	derivatives (Vector< double > &I, Vector< double > &dWdI)
bool	requires_incompressibility_constraint ()
Public Member Functions inherited from oomph::StrainEnergyFunction
	StrainEnergyFunction ()
	Constructor takes no arguments. More...
virtual	~StrainEnergyFunction ()
	Empty virtual destructor. More...
virtual void	derivative (const DenseMatrix< double > &gamma, DenseMatrix< double > &dWdgamma)

Private Attributes
double *	C1_pt
	Pointer to first Mooney Rivlin constant. More...
double *	C2_pt
	Pointer to second Mooney Rivlin constant. More...

Detailed Description

///////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////// MooneyRivlin strain-energy function. with constitutive parameters C1 and C2:

\[ W = C_1 (I_0 - 3) + C_2 (I_1 - 3) \]

where incompressibility ( \( I_2 \equiv 1\)) is assumed.

Constructor & Destructor Documentation

MooneyRivlin()

oomph::MooneyRivlin::MooneyRivlin ( double *  c1_pt, double *  c2_pt  )

inline

Constructor takes the pointer to the value of the constants.

      : StrainEnergyFunction(), C1_pt(c1_pt), C2_pt(c2_pt)
    {
    }

~MooneyRivlin()

virtual oomph::MooneyRivlin::~MooneyRivlin ( )

inlinevirtual

Empty Virtual destructor.

{}

Member Function Documentation

derivatives()

void oomph::MooneyRivlin::derivatives ( Vector< double > &  I, Vector< double > &  dWdI  )

inlinevirtual

Return the derivatives of the strain energy function with respect to the strain invariants

Reimplemented from oomph::StrainEnergyFunction.

    {
      dWdI[0] = (*C1_pt);
      dWdI[1] = (*C2_pt);
      dWdI[2] = 0.0;
    }

requires_incompressibility_constraint()

bool oomph::MooneyRivlin::requires_incompressibility_constraint ( )

inlinevirtual

Pure virtual function in which the user must declare if the constitutive equation requires an incompressible formulation in which the volume constraint is enforced explicitly. Used as a sanity check in PARANOID mode. True

Implements oomph::StrainEnergyFunction.

    {
      return true;
    }

W() [1/2]

double oomph::MooneyRivlin::W ( const DenseMatrix< double > &  gamma )

inlinevirtual

Return the strain energy in terms of strain tensor.

Reimplemented from oomph::StrainEnergyFunction.

    {
      return StrainEnergyFunction::W(gamma);
    }

References mathsFunc::gamma(), and oomph::StrainEnergyFunction::W().

W() [2/2]

double oomph::MooneyRivlin::W ( const Vector< double > &  I )

inlinevirtual

Return the strain energy in terms of the strain invariants.

Reimplemented from oomph::StrainEnergyFunction.

    {
      return (*C1_pt) * (I[0] - 3.0) + (*C2_pt) * (I[1] - 3.0);
    }

References C1_pt, C2_pt, and I.

Member Data Documentation

C1_pt

double* oomph::MooneyRivlin::C1_pt

private

Pointer to first Mooney Rivlin constant.

Referenced by W().

C2_pt

double* oomph::MooneyRivlin::C2_pt

private

Pointer to second Mooney Rivlin constant.

Referenced by W().

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

• constitutive_laws.h