tensor.h File Reference

#include <Toolbox/utility.h>

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Classes
class	tensor::base::Base3D

Namespaces
namespace	tensor
namespace	tensor::stress
namespace	tensor::strain
namespace	tensor::base
namespace	transform
namespace	transform::strain
namespace	transform::stress
namespace	transform::beam
namespace	transform::triangle
namespace	suanpan

Concepts
concept	transform::HasEval

Functions
mat	tensor::isotropic_stiffness (double, double)
mat	tensor::orthotropic_stiffness (const vec &, const vec &)
mat	tensor::unit_deviatoric_tensor4 ()
mat	tensor::unit_deviatoric_tensor4v2 ()
mat	tensor::unit_symmetric_tensor4 ()
double	tensor::stress::invariant1 (const vec &)
	compute the first invariant of the given 3D stress tensor, could be either normal or deviatoric stress More...
double	tensor::stress::invariant2 (const vec &)
	compute the second invariant of the given 3D stress tensor, could be either normal or deviatoric stress More...
double	tensor::stress::invariant3 (const vec &)
	compute the third invariant of the given 3D stress tensor, could be either normal or deviatoric stress More...
double	tensor::stress::lode (vec)
vec	tensor::stress::lode_der (vec)
double	tensor::strain::invariant1 (const vec &)
	compute the first invariant of the given 3D strain tensor, could be either normal or deviatoric strain More...
double	tensor::strain::invariant2 (const vec &)
	compute the second invariant of the given 3D strain tensor, could be either normal or deviatoric strain More...
double	tensor::strain::invariant3 (const vec &)
	compute the third invariant of the given 3D strain tensor, could be either normal or deviatoric strain More...
double	tensor::strain::lode (vec)
double	tensor::trace2 (const vec &)
	Only accepts 2D tensor! More...
double	tensor::trace3 (const vec &)
	Only accepts 3D tensor! More...
double	tensor::mean3 (const vec &)
vec	tensor::dev (const vec &)
vec	tensor::dev (vec &&)
mat	tensor::dev (const mat &)
mat	tensor::dev (mat &&)
mat	tensor::strain::to_green (mat &&)
mat	tensor::strain::to_green (const mat &)
mat	tensor::strain::to_tensor (const vec &)
vec	tensor::strain::to_voigt (const mat &)
double	tensor::strain::norm (const vec &)
double	tensor::strain::norm (vec &&)
double	tensor::strain::double_contraction (const vec &, const vec &)
double	tensor::strain::double_contraction (vec &&, vec &&)
mat	tensor::stress::to_tensor (const vec &)
vec	tensor::stress::to_voigt (const mat &)
double	tensor::stress::norm (const vec &)
double	tensor::stress::norm (vec &&)
double	tensor::stress::double_contraction (const vec &, const vec &)
double	tensor::stress::double_contraction (vec &&, vec &&)
vec3	tensor::base::unit_norm (const vec3 &, const vec3 &)
mat	tensor::diff_unit (const vec &)
mat	tensor::diff_triad (const vec3 &, const vec3 &, const vec3 &)
void	transform::hoffman_projection (const vec &, mat &, mat &)
	Generate two projection matrix based on the given yield stress according to the Hoffman yielding criterion. More...
mat	transform::hill_projection (double, double, double, double, double, double)
double	transform::atan2 (const vec &)
mat	transform::compute_jacobian_nominal_to_principal (const mat &)
mat	transform::compute_jacobian_principal_to_nominal (const mat &)
mat	transform::eigen_to_tensor_base (const mat &)
mat	transform::eigen_to_tensile_stress (const vec &, const mat &)
mat	transform::eigen_to_tensile_derivative (const vec &, const mat &)
template<typename T >
Mat< T >	transform::skew_symm (const Mat< T > &R)
template<HasEval T>
mat	transform::skew_symm (const T &R)
template<typename T >
Mat< T >	transform::rodrigues (const Mat< T > &R)
template<typename T >
Quaternion< T >	transform::to_quaternion (const Mat< T > &R)
template<typename T >
Col< T >	transform::to_pseudo (const Mat< T > &R)
double	transform::strain::angle (const vec &)
mat	transform::strain::trans (double)
vec	transform::strain::principal (const vec &)
vec	transform::strain::rotate (const vec &, double)
double	transform::stress::angle (const vec &)
mat	transform::stress::trans (double)
vec	transform::stress::principal (const vec &)
vec	transform::stress::rotate (const vec &, double)
mat	transform::beam::global_to_local (double, double, double)
mat	transform::beam::global_to_local (const vec &, double)
	a subroutine to get transformation matrix between global and local coordinate system More...
vec	transform::triangle::to_area_coordinate (const vec &, const mat &)
template<typename T >
T	suanpan::ramp (const T in)