transformations.h File Reference

#include <deal.II/base/config.h>
#include <deal.II/base/point.h>
#include <deal.II/base/symmetric_tensor.h>
#include <deal.II/base/tensor.h>

Go to the source code of this file.

Namespaces
	Physics
	Physics::Transformations
	Physics::Transformations::Rotations
	Physics::Transformations::Contravariant
	Physics::Transformations::Covariant
	Physics::Transformations::Piola

Functions
Rotation matrices
template<typename Number >
Tensor< 2, 2, Number >	Physics::Transformations::Rotations::rotation_matrix_2d (const Number &angle)
template<typename Number >
Tensor< 2, 3, Number >	Physics::Transformations::Rotations::rotation_matrix_3d (const Point< 3, Number > &axis, const Number &angle)
Push forward operations
template<int dim, typename Number >
Tensor< 1, dim, Number >	Physics::Transformations::Contravariant::push_forward (const Tensor< 1, dim, Number > &V, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 2, dim, Number >	Physics::Transformations::Contravariant::push_forward (const Tensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number >	Physics::Transformations::Contravariant::push_forward (const SymmetricTensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 4, dim, Number >	Physics::Transformations::Contravariant::push_forward (const Tensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number >	Physics::Transformations::Contravariant::push_forward (const SymmetricTensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
Pull back operations
template<int dim, typename Number >
Tensor< 1, dim, Number >	Physics::Transformations::Contravariant::pull_back (const Tensor< 1, dim, Number > &v, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 2, dim, Number >	Physics::Transformations::Contravariant::pull_back (const Tensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number >	Physics::Transformations::Contravariant::pull_back (const SymmetricTensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 4, dim, Number >	Physics::Transformations::Contravariant::pull_back (const Tensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number >	Physics::Transformations::Contravariant::pull_back (const SymmetricTensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
Push forward operations
template<int dim, typename Number >
Tensor< 1, dim, Number >	Physics::Transformations::Covariant::push_forward (const Tensor< 1, dim, Number > &V, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 2, dim, Number >	Physics::Transformations::Covariant::push_forward (const Tensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number >	Physics::Transformations::Covariant::push_forward (const SymmetricTensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 4, dim, Number >	Physics::Transformations::Covariant::push_forward (const Tensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number >	Physics::Transformations::Covariant::push_forward (const SymmetricTensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
Pull back operations
template<int dim, typename Number >
Tensor< 1, dim, Number >	Physics::Transformations::Covariant::pull_back (const Tensor< 1, dim, Number > &v, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 2, dim, Number >	Physics::Transformations::Covariant::pull_back (const Tensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number >	Physics::Transformations::Covariant::pull_back (const SymmetricTensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 4, dim, Number >	Physics::Transformations::Covariant::pull_back (const Tensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number >	Physics::Transformations::Covariant::pull_back (const SymmetricTensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
Push forward operations
template<int dim, typename Number >
Tensor< 1, dim, Number >	Physics::Transformations::Piola::push_forward (const Tensor< 1, dim, Number > &V, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 2, dim, Number >	Physics::Transformations::Piola::push_forward (const Tensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number >	Physics::Transformations::Piola::push_forward (const SymmetricTensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 4, dim, Number >	Physics::Transformations::Piola::push_forward (const Tensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number >	Physics::Transformations::Piola::push_forward (const SymmetricTensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
Pull back operations
template<int dim, typename Number >
Tensor< 1, dim, Number >	Physics::Transformations::Piola::pull_back (const Tensor< 1, dim, Number > &v, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 2, dim, Number >	Physics::Transformations::Piola::pull_back (const Tensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number >	Physics::Transformations::Piola::pull_back (const SymmetricTensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 4, dim, Number >	Physics::Transformations::Piola::pull_back (const Tensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number >	Physics::Transformations::Piola::pull_back (const SymmetricTensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
Special operations
template<int dim, typename Number >
Tensor< 1, dim, Number >	Physics::Transformations::nansons_formula (const Tensor< 1, dim, Number > &N, const Tensor< 2, dim, Number > &F)
Special operations
template<int dim, typename Number >
Tensor< 1, dim, Number >	Physics::Transformations::nansons_formula (const Tensor< 1, dim, Number > &N, const Tensor< 2, dim, Number > &F)
Push forward operations
template<int dim, typename Number >
Tensor< 1, dim, Number >	Physics::Transformations::Contravariant::push_forward (const Tensor< 1, dim, Number > &V, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 2, dim, Number >	Physics::Transformations::Contravariant::push_forward (const Tensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number >	Physics::Transformations::Contravariant::push_forward (const SymmetricTensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 4, dim, Number >	Physics::Transformations::Contravariant::push_forward (const Tensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number >	Physics::Transformations::Contravariant::push_forward (const SymmetricTensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
Pull back operations
template<int dim, typename Number >
Tensor< 1, dim, Number >	Physics::Transformations::Contravariant::pull_back (const Tensor< 1, dim, Number > &v, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 2, dim, Number >	Physics::Transformations::Contravariant::pull_back (const Tensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number >	Physics::Transformations::Contravariant::pull_back (const SymmetricTensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 4, dim, Number >	Physics::Transformations::Contravariant::pull_back (const Tensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number >	Physics::Transformations::Contravariant::pull_back (const SymmetricTensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
Push forward operations
template<int dim, typename Number >
Tensor< 1, dim, Number >	Physics::Transformations::Covariant::push_forward (const Tensor< 1, dim, Number > &V, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 2, dim, Number >	Physics::Transformations::Covariant::push_forward (const Tensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number >	Physics::Transformations::Covariant::push_forward (const SymmetricTensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 4, dim, Number >	Physics::Transformations::Covariant::push_forward (const Tensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number >	Physics::Transformations::Covariant::push_forward (const SymmetricTensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
Pull back operations
template<int dim, typename Number >
Tensor< 1, dim, Number >	Physics::Transformations::Covariant::pull_back (const Tensor< 1, dim, Number > &v, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 2, dim, Number >	Physics::Transformations::Covariant::pull_back (const Tensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number >	Physics::Transformations::Covariant::pull_back (const SymmetricTensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 4, dim, Number >	Physics::Transformations::Covariant::pull_back (const Tensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number >	Physics::Transformations::Covariant::pull_back (const SymmetricTensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
Push forward operations
template<int dim, typename Number >
Tensor< 1, dim, Number >	Physics::Transformations::Piola::push_forward (const Tensor< 1, dim, Number > &V, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 2, dim, Number >	Physics::Transformations::Piola::push_forward (const Tensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number >	Physics::Transformations::Piola::push_forward (const SymmetricTensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 4, dim, Number >	Physics::Transformations::Piola::push_forward (const Tensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number >	Physics::Transformations::Piola::push_forward (const SymmetricTensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
Pull back operations
template<int dim, typename Number >
Tensor< 1, dim, Number >	Physics::Transformations::Piola::pull_back (const Tensor< 1, dim, Number > &v, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 2, dim, Number >	Physics::Transformations::Piola::pull_back (const Tensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number >	Physics::Transformations::Piola::pull_back (const SymmetricTensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
Tensor< 4, dim, Number >	Physics::Transformations::Piola::pull_back (const Tensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number >	Physics::Transformations::Piola::pull_back (const SymmetricTensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
Rotation matrices
template<typename Number >
Tensor< 2, 2, Number >	Physics::Transformations::Rotations::rotation_matrix_2d (const Number &angle)
template<typename Number >
Tensor< 2, 3, Number >	Physics::Transformations::Rotations::rotation_matrix_3d (const Point< 3, Number > &axis, const Number &angle)