hex8_element_t Class Reference

#include <hex8_element_t.h>

Public Member Functions
void	compute_normal_to_face (unsigned int f, double const *local_coordinates, double const *global_coordinates, double *normal_to_face)
void	compute_normal_to_face (unsigned int face, double const *local_coordinates_on_face, double *normal_vector)
void	compute_rotation_tensor (double const *local_coordinates, double const *displacement_values, double *rotation_tensor_values)
void	compute_strain_tensor (double const *local_coordinates, double const *displacement_values, double *strain_tensor_values)
bool	contains_point (double const *coordinates, bool coordinates_are_local=false, double tolerance=1.0e-12)
double const *	get_bounding_box ()
triangle_t **	get_bounding_polyhedron ()
double const *	get_scaling_factors ()
double const *	get_support_point (unsigned int i) const
double const *	get_support_points () const
	hex8_element_t (double const *p)
void	map_global_to_local (double const *global_coordinates, double *local_coordinates)
void	map_local_to_global (double const *local_coordinates, double *global_coordinates)
void	project_on_face (unsigned int f, double const *local_coordinates, double *local_coordinates_on_face, double *shift_global_coordinates)
void	scale_support_points ()
void	set_support_points (double const *p)
void	unscale_support_points ()
bool	within_bounding_box (double const *p, double tolerance=1.0e-12)
bool	within_bounding_polyhedron (double const *p, double tolerance=1.0e-12)
	~hex8_element_t ()

Static Public Member Functions
static void	get_basis_functions_derivatives (double const *local_coordinates, double *basis_functions_derivatives)
static void	get_basis_functions_values (double const *local_coordinates, double *basis_functions_values)
static void	get_basis_functions_values_on_face (double const *local_coordinates_on_face, double *basis_functions_values_on_face)
static unsigned int const *	get_face (unsigned int i)
static unsigned int const *	get_faces ()
static void	get_local_coordinates_on_face (double const *basis_functions_values_on_face, double *local_coordinates_on_face)
static void	get_normal_to_face (double const **support_points_ptr, double const *local_coordinates_on_face, double *normal_vector)
static void	map_face_to_local (unsigned int face, double const *local_coordinates_on_face, double *local_coordinates)
static void	map_local_to_face (unsigned int face, double const *local_coordinates, double *local_coordinates_on_face)

Private Member Functions
void	build_bounding_box ()
void	build_bounding_polyhedron ()
void	clear_triangles_ptr (std::vector< triangle_t * > &triangles_ptr)
void	compute_center_of_element_data ()
void	compute_initial_guess (double *x)
void	compute_jacobian_matrix (double const *x, double *J)
void	compute_residual_vector (double const *x, double *f)
void	compute_scaling_factors ()
void	compute_translation_vector ()
double	solve_newton (double *x, double abs_tol=1.0e-14, double rel_tol=1.0e-14, unsigned int max_iter=100, bool verbose=false)

Private Attributes
std::vector< double >	basis_functions_derivatives
std::vector< double >	basis_functions_values
std::vector< double >	bounding_box
bool	bounding_box_updated
std::vector< triangle_t * >	bounding_polyhedron
bool	bounding_polyhedron_updated
bool	center_of_element_data_updated
std::vector< double >	center_of_element_global_coordinates
std::vector< double >	center_of_element_local_coordinates
std::vector< double >	inverse_jacobian_matrix
std::vector< double >	inverse_jacobian_matrix_at_center_of_element
std::vector< double >	inverse_jacobian_matrix_times_residual_vector
std::vector< double >	jacobian_matrix
std::vector< double >	jacobian_matrix_at_center_of_element
bool	memory_allocated_for_newton
double	point_candidate [3]
std::vector< double >	residual_vector
std::vector< double >	scaling_factors
bool	scaling_factors_updated
double	support_points [24]
bool	support_points_scaled
bool	support_points_translated
std::vector< triangle_t * >	tmp_triangles_ptr
std::vector< double >	translation_vector
bool	translation_vector_updated

Static Private Attributes
static unsigned int	faces [24]

Detailed Description

Definition at line 22 of file hex8_element_t.h.

Constructor & Destructor Documentation

hex8_element_t()

hex8_element_t::hex8_element_t ( double const *  p )

explicit

~hex8_element_t()

hex8_element_t::~hex8_element_t

(

)

Member Function Documentation

build_bounding_box()

void hex8_element_t::build_bounding_box ( )

private

build_bounding_polyhedron()

void hex8_element_t::build_bounding_polyhedron ( )

private

clear_triangles_ptr()

void hex8_element_t::clear_triangles_ptr ( std::vector< triangle_t * > &  triangles_ptr )

private

compute_center_of_element_data()

void hex8_element_t::compute_center_of_element_data ( )

private

compute_initial_guess()

void hex8_element_t::compute_initial_guess ( double *  x )

private

compute_jacobian_matrix()

void hex8_element_t::compute_jacobian_matrix ( double const *  x, double *  J  )

private

compute_normal_to_face() [1/2]

void hex8_element_t::compute_normal_to_face	(	unsigned int	f,
		double const *	local_coordinates,
		double const *	global_coordinates,
		double *	normal_to_face
	)

compute_normal_to_face() [2/2]

void hex8_element_t::compute_normal_to_face	(	unsigned int	face,
		double const *	local_coordinates_on_face,
		double *	normal_vector
	)

compute_residual_vector()

void hex8_element_t::compute_residual_vector ( double const *  x, double *  f  )

private

compute_rotation_tensor()

void hex8_element_t::compute_rotation_tensor	(	double const *	local_coordinates,
		double const *	displacement_values,
		double *	rotation_tensor_values
	)

compute_scaling_factors()

void hex8_element_t::compute_scaling_factors ( )

private

compute_strain_tensor()

void hex8_element_t::compute_strain_tensor	(	double const *	local_coordinates,
		double const *	displacement_values,
		double *	strain_tensor_values
	)

compute_translation_vector()

void hex8_element_t::compute_translation_vector ( )

private

contains_point()

bool hex8_element_t::contains_point	(	double const *	coordinates,
		bool	coordinates_are_local = false,
		double	tolerance = 1.0e-12
	)

get_basis_functions_derivatives()

static void hex8_element_t::get_basis_functions_derivatives ( double const *  local_coordinates, double *  basis_functions_derivatives  )

static

get_basis_functions_values()

static void hex8_element_t::get_basis_functions_values ( double const *  local_coordinates, double *  basis_functions_values  )

static

get_basis_functions_values_on_face()

static void hex8_element_t::get_basis_functions_values_on_face ( double const *  local_coordinates_on_face, double *  basis_functions_values_on_face  )

static

get_bounding_box()

double const * hex8_element_t::get_bounding_box

(

)

get_bounding_polyhedron()

triangle_t ** hex8_element_t::get_bounding_polyhedron

(

)

get_face()

static unsigned int const * hex8_element_t::get_face ( unsigned int  i )

static

get_faces()

static unsigned int const * hex8_element_t::get_faces ( )

static

get_local_coordinates_on_face()

static void hex8_element_t::get_local_coordinates_on_face ( double const *  basis_functions_values_on_face, double *  local_coordinates_on_face  )

static

get_normal_to_face()

static void hex8_element_t::get_normal_to_face ( double const **  support_points_ptr, double const *  local_coordinates_on_face, double *  normal_vector  )

static

get_scaling_factors()

double const * hex8_element_t::get_scaling_factors

(

)

get_support_point()

double const * hex8_element_t::get_support_point

(

unsigned int

i

)

const

get_support_points()

double const * hex8_element_t::get_support_points

(

)

const

map_face_to_local()

static void hex8_element_t::map_face_to_local ( unsigned int  face, double const *  local_coordinates_on_face, double *  local_coordinates  )

static

map_global_to_local()

void hex8_element_t::map_global_to_local	(	double const *	global_coordinates,
		double *	local_coordinates
	)

map_local_to_face()

static void hex8_element_t::map_local_to_face ( unsigned int  face, double const *  local_coordinates, double *  local_coordinates_on_face  )

static

map_local_to_global()

void hex8_element_t::map_local_to_global	(	double const *	local_coordinates,
		double *	global_coordinates
	)

project_on_face()

void hex8_element_t::project_on_face	(	unsigned int	f,
		double const *	local_coordinates,
		double *	local_coordinates_on_face,
		double *	shift_global_coordinates
	)

scale_support_points()

void hex8_element_t::scale_support_points

(

)

set_support_points()

void hex8_element_t::set_support_points

(

double const *

p

)

solve_newton()

double hex8_element_t::solve_newton ( double *  x, double  abs_tol = 1.0e-14, double  rel_tol = 1.0e-14, unsigned int  max_iter = 100, bool  verbose = false  )

private

unscale_support_points()

void hex8_element_t::unscale_support_points

(

)

within_bounding_box()

bool hex8_element_t::within_bounding_box	(	double const *	p,
		double	tolerance = 1.0e-12
	)

within_bounding_polyhedron()

bool hex8_element_t::within_bounding_polyhedron	(	double const *	p,
		double	tolerance = 1.0e-12
	)

Member Data Documentation

basis_functions_derivatives

std::vector<double> hex8_element_t::basis_functions_derivatives

private

Definition at line 183 of file hex8_element_t.h.

basis_functions_values

std::vector<double> hex8_element_t::basis_functions_values

private

Definition at line 182 of file hex8_element_t.h.

bounding_box

std::vector<double> hex8_element_t::bounding_box

private

Definition at line 166 of file hex8_element_t.h.

bounding_box_updated

bool hex8_element_t::bounding_box_updated

private

Definition at line 163 of file hex8_element_t.h.

bounding_polyhedron

std::vector<triangle_t *> hex8_element_t::bounding_polyhedron

private

Definition at line 167 of file hex8_element_t.h.

bounding_polyhedron_updated

bool hex8_element_t::bounding_polyhedron_updated

private

Definition at line 164 of file hex8_element_t.h.

center_of_element_data_updated

bool hex8_element_t::center_of_element_data_updated

private

Definition at line 171 of file hex8_element_t.h.

center_of_element_global_coordinates

std::vector<double> hex8_element_t::center_of_element_global_coordinates

private

Definition at line 173 of file hex8_element_t.h.

center_of_element_local_coordinates

std::vector<double> hex8_element_t::center_of_element_local_coordinates

private

Definition at line 172 of file hex8_element_t.h.

faces

unsigned int hex8_element_t::faces[24]

staticprivate

Definition at line 154 of file hex8_element_t.h.

inverse_jacobian_matrix

std::vector<double> hex8_element_t::inverse_jacobian_matrix

private

Definition at line 180 of file hex8_element_t.h.

inverse_jacobian_matrix_at_center_of_element

std::vector<double> hex8_element_t::inverse_jacobian_matrix_at_center_of_element

private

Definition at line 175 of file hex8_element_t.h.

inverse_jacobian_matrix_times_residual_vector

std::vector<double> hex8_element_t::inverse_jacobian_matrix_times_residual_vector

private

Definition at line 181 of file hex8_element_t.h.

jacobian_matrix

std::vector<double> hex8_element_t::jacobian_matrix

private

Definition at line 179 of file hex8_element_t.h.

jacobian_matrix_at_center_of_element

std::vector<double> hex8_element_t::jacobian_matrix_at_center_of_element

private

Definition at line 174 of file hex8_element_t.h.

memory_allocated_for_newton

bool hex8_element_t::memory_allocated_for_newton

private

Definition at line 177 of file hex8_element_t.h.

point_candidate

double hex8_element_t::point_candidate[3]

private

Definition at line 134 of file hex8_element_t.h.

residual_vector

std::vector<double> hex8_element_t::residual_vector

private

Definition at line 178 of file hex8_element_t.h.

scaling_factors

std::vector<double> hex8_element_t::scaling_factors

private

Definition at line 158 of file hex8_element_t.h.

scaling_factors_updated

bool hex8_element_t::scaling_factors_updated

private

Definition at line 157 of file hex8_element_t.h.

support_points

double hex8_element_t::support_points[24]

private

Definition at line 133 of file hex8_element_t.h.

support_points_scaled

bool hex8_element_t::support_points_scaled

private

Definition at line 156 of file hex8_element_t.h.

support_points_translated

bool hex8_element_t::support_points_translated

private

Definition at line 159 of file hex8_element_t.h.

tmp_triangles_ptr

std::vector<triangle_t *> hex8_element_t::tmp_triangles_ptr

private

Definition at line 168 of file hex8_element_t.h.

translation_vector

std::vector<double> hex8_element_t::translation_vector

private

Definition at line 161 of file hex8_element_t.h.

translation_vector_updated

bool hex8_element_t::translation_vector_updated

private

Definition at line 160 of file hex8_element_t.h.

---

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

• src/mesh/hex8_element_t.h