NumLib::ShapeTet4 Class Reference

Detailed Description

Shape function for a 4-nodes tetrahedral element

Definition at line 21 of file ShapeTet4.h.

#include <ShapeTet4.h>

Public Types
using	MeshElement = MeshLib::Tet

Static Public Member Functions
template<class T_X, class T_N>
static void	computeShapeFunction (const T_X &r, T_N &N)
template<class T_X, class T_N>
static void	computeGradShapeFunction (const T_X &r, T_N &dN)

Static Public Attributes
static constexpr std::array	reference_element_centre = {0.5, 0.5, 0.5}
static const unsigned	DIM = MeshElement::dimension
static const unsigned	NPOINTS = MeshElement::n_all_nodes
static constexpr int	ORDER = 1

Member Typedef Documentation

MeshElement

using NumLib::ShapeTet4::MeshElement = MeshLib::Tet

Definition at line 45 of file ShapeTet4.h.

Member Function Documentation

computeGradShapeFunction()

template<class T_X, class T_N>

void NumLib::ShapeTet4::computeGradShapeFunction ( const T_X & r, T_N & dN )

static

Evaluate derivatives of the shape function at the given point The point coordinates in r are not used.

Parameters

[in]	r	point coordinates
[out]	dN	a matrix of the derivatives

Definition at line 23 of file ShapeTet4-impl.h.

{
    // dr
    dN[0] = -1.0;
    dN[1] = 1.0;
    dN[2] = 0.0;
    dN[3] = 0.0;
 
    // ds
    dN[4] = -1.0;
    dN[5] = 0.0;
    dN[6] = 1.0;
    dN[7] = 0.0;
 
    // dt
    dN[8] = -1.0;
    dN[9] = 0.0;
    dN[10] = 0.0;
    dN[11] = 1.0;
}

computeShapeFunction()

template<class T_X, class T_N>

void NumLib::ShapeTet4::computeShapeFunction ( const T_X & r, T_N & N )

static

Evaluate the shape function at the given point

Parameters

[in]	r	point coordinates
[out]	N	a vector of calculated shape function.

Definition at line 14 of file ShapeTet4-impl.h.

{
    N[0] = 1. - r[0] - r[1] - r[2];
    N[1] = r[0];
    N[2] = r[1];
    N[3] = r[2];
}

References NumLib::N.

Member Data Documentation

DIM

const unsigned NumLib::ShapeTet4::DIM = MeshElement::dimension

static

Definition at line 46 of file ShapeTet4.h.

NPOINTS

const unsigned NumLib::ShapeTet4::NPOINTS = MeshElement::n_all_nodes

static

Definition at line 47 of file ShapeTet4.h.

ORDER

int NumLib::ShapeTet4::ORDER = 1

staticconstexpr

Definition at line 48 of file ShapeTet4.h.

reference_element_centre

std::array NumLib::ShapeTet4::reference_element_centre = {0.5, 0.5, 0.5}

staticconstexpr

Definition at line 43 of file ShapeTet4.h.

{0.5, 0.5, 0.5};

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

• NumLib/Fem/ShapeFunction/ShapeTet4.h
• NumLib/Fem/ShapeFunction/ShapeStaticConsts.cpp
• NumLib/Fem/ShapeFunction/ShapeTet4-impl.h