SymmTensorI.H File Reference

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Classes
class	outerProduct< SymmTensor< Cmpt >, Cmpt >
class	outerProduct< Cmpt, SymmTensor< Cmpt > >
class	innerProduct< SymmTensor< Cmpt >, SymmTensor< Cmpt > >
class	innerProduct< SymmTensor< Cmpt >, Vector< Cmpt > >
class	innerProduct< Vector< Cmpt >, SymmTensor< Cmpt > >
class	typeOfSum< SphericalTensor< Cmpt >, SymmTensor< Cmpt > >
class	typeOfSum< SymmTensor< Cmpt >, SphericalTensor< Cmpt > >
class	innerProduct< SphericalTensor< Cmpt >, SymmTensor< Cmpt > >
class	innerProduct< SymmTensor< Cmpt >, SphericalTensor< Cmpt > >

Namespaces
namespace	Foam
	Namespace for OpenFOAM.

Functions
template<class Cmpt>
Cmpt	tr (const SymmTensor< Cmpt > &st)
	Return the trace of a SymmTensor.
template<class Cmpt>
SphericalTensor< Cmpt >	sph (const SymmTensor< Cmpt > &st)
	Return the spherical part of a SymmTensor.
template<class Cmpt>
const SymmTensor< Cmpt > &	symm (const SymmTensor< Cmpt > &st)
	Return the symmetric part of a SymmTensor, i.e. itself.
template<class Cmpt>
SymmTensor< Cmpt >	twoSymm (const SymmTensor< Cmpt > &st)
	Return twice the symmetric part of a SymmTensor.
template<class Cmpt>
SymmTensor< Cmpt >	devSymm (const SymmTensor< Cmpt > &st)
	Return the deviatoric part of the symmetric part of a SymmTensor.
template<class Cmpt>
SymmTensor< Cmpt >	devTwoSymm (const SymmTensor< Cmpt > &st)
	Return the deviatoric part of twice the symmetric part of a SymmTensor.
template<class Cmpt>
SymmTensor< Cmpt >	dev (const SymmTensor< Cmpt > &st)
	Return the deviatoric part of a SymmTensor.
template<class Cmpt>
SymmTensor< Cmpt >	dev2 (const SymmTensor< Cmpt > &st)
	Return the two-third deviatoric part of a SymmTensor.
template<class Cmpt>
Cmpt	det (const SymmTensor< Cmpt > &st)
	Return the determinant of a SymmTensor.
template<class Cmpt>
SymmTensor< Cmpt >	cof (const SymmTensor< Cmpt > &st)
	Return the cofactor of a SymmTensor as a SymmTensor.
template<class Cmpt>
SymmTensor< Cmpt >	inv (const SymmTensor< Cmpt > &st, const Cmpt detval)
	Return the inverse of a SymmTensor, using given determinant value.
template<class Cmpt>
SymmTensor< Cmpt >	inv (const SymmTensor< Cmpt > &st)
	Return the inverse of a SymmTensor.
template<class Cmpt>
Cmpt	invariantI (const SymmTensor< Cmpt > &st)
	Return the 1st invariant of a SymmTensor.
template<class Cmpt>
Cmpt	invariantII (const SymmTensor< Cmpt > &st)
	Return the 2nd invariant of a SymmTensor.
template<class Cmpt>
Cmpt	invariantIII (const SymmTensor< Cmpt > &st)
	Return the 3rd invariant of a SymmTensor.
template<class Cmpt>
SymmTensor< Cmpt >	innerSqr (const SymmTensor< Cmpt > &st)
	Return the inner-product of a SymmTensor with itself.
template<class Cmpt>
Foam::scalar	magSqr (const SymmTensor< Cmpt > &st)
	Return the square of Frobenius norm of a SymmTensor.
template<class Cmpt>
SymmTensor< Cmpt >	sqr (const Vector< Cmpt > &v)
	Return the square of a Vector as a SymmTensor.
template<class Cmpt>
SymmTensor< Cmpt >	lerp (const SymmTensor< Cmpt > &a, const SymmTensor< Cmpt > &b, const scalar t)
	Linear interpolation of symmetric tensors a and b by factor t.
template<class Cmpt>
SymmTensor< Cmpt >	operator+ (const SphericalTensor< Cmpt > &spt1, const SymmTensor< Cmpt > &st2)
	Sum of a SphericalTensor and a SymmTensor.
template<class Cmpt>
SymmTensor< Cmpt >	operator+ (const SymmTensor< Cmpt > &st1, const SphericalTensor< Cmpt > &spt2)
	Sum of a SymmTensor and a SphericalTensor.
template<class Cmpt>
SymmTensor< Cmpt >	operator- (const SphericalTensor< Cmpt > &spt1, const SymmTensor< Cmpt > &st2)
	Subtract a SymmTensor from a SphericalTensor.
template<class Cmpt>
SymmTensor< Cmpt >	operator- (const SymmTensor< Cmpt > &st1, const SphericalTensor< Cmpt > &spt2)
	Subtract a SphericalTensor from a SymmTensor.
template<class Cmpt>
Vector< Cmpt >	operator* (const SymmTensor< Cmpt > &st)
	Return the Hodge dual of a SymmTensor as a Vector.
template<class Cmpt>
SymmTensor< Cmpt >	operator/ (const SymmTensor< Cmpt > &st, const Cmpt s)
	Division of a SymmTensor by a Cmpt.
template<class Cmpt>
Tensor< Cmpt >	operator& (const SymmTensor< Cmpt > &st1, const SymmTensor< Cmpt > &st2)
	Inner-product of a SymmTensor and a SymmTensor.
template<class Cmpt>
SymmTensor< Cmpt >	operator& (const SphericalTensor< Cmpt > &spt1, const SymmTensor< Cmpt > &st2)
	Inner-product of a SphericalTensor and a SymmTensor.
template<class Cmpt>
SymmTensor< Cmpt >	operator& (const SymmTensor< Cmpt > &st1, const SphericalTensor< Cmpt > &spt2)
	Inner-product of a SymmTensor and a SphericalTensor.
template<class Cmpt>
Vector< Cmpt >	operator& (const SymmTensor< Cmpt > &st, const Vector< Cmpt > &v)
	Inner-product of a SymmTensor and a Vector.
template<class Cmpt>
Vector< Cmpt >	operator& (const Vector< Cmpt > &v, const SymmTensor< Cmpt > &st)
	Inner-product of a Vector and a SymmTensor.
template<class Cmpt>
Cmpt	operator&& (const SymmTensor< Cmpt > &st1, const SymmTensor< Cmpt > &st2)
	Double-inner-product of a SymmTensor and a SymmTensor.
template<class Cmpt>
Cmpt	operator&& (const SphericalTensor< Cmpt > &spt1, const SymmTensor< Cmpt > &st2)
	Double-inner-product of a SphericalTensor and a SymmTensor.
template<class Cmpt>
Cmpt	operator&& (const SymmTensor< Cmpt > &st1, const SphericalTensor< Cmpt > &spt2)
	Double-inner-product of a SymmTensor and a SphericalTensor.

Detailed Description

Original source file SymmTensorI.H

Definition in file SymmTensorI.H.