NumLib::ShapeTri3 Class Reference

Detailed Description

Shape function for a triangle element of three nodes in natural coordinates

*  3 (0,1)
*    *
*  s | \
*    |   \
*    |     \
*    *------* r
*  1 (0,0)    2 (1,0)
* 

Definition at line 33 of file ShapeTri3.h.

#include <ShapeTri3.h>

Public Types
using	MeshElement = MeshLib::Tri

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 const unsigned	DIM = MeshElement::dimension
static const unsigned	NPOINTS = MeshElement::n_all_nodes
static constexpr int	ORDER = 1

Member Typedef Documentation

MeshElement

using NumLib::ShapeTri3::MeshElement = MeshLib::Tri

Definition at line 55 of file ShapeTri3.h.

Member Function Documentation

computeGradShapeFunction()

template<class T_X , class T_N >

void NumLib::ShapeTri3::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 25 of file ShapeTri3-impl.h.

{
    // dN/dr
    dN[0] = -1.0;
    dN[1] = 1.0;
    dN[2] = 0.0;
    // dN/ds
    dN[3] = -1.0;
    dN[4] = 0.0;
    dN[5] = 1.0;
}

computeShapeFunction()

template<class T_X , class T_N >

void NumLib::ShapeTri3::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 17 of file ShapeTri3-impl.h.

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

References NumLib::N.

Member Data Documentation

DIM

const unsigned NumLib::ShapeTri3::DIM = MeshElement::dimension

static

Definition at line 56 of file ShapeTri3.h.

NPOINTS

const unsigned NumLib::ShapeTri3::NPOINTS = MeshElement::n_all_nodes

static

Definition at line 57 of file ShapeTri3.h.

ORDER

constexpr int NumLib::ShapeTri3::ORDER = 1

staticconstexpr

Definition at line 58 of file ShapeTri3.h.

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

• NumLib/Fem/ShapeFunction/ShapeTri3.h
• NumLib/Fem/ShapeFunction/ShapeStaticConsts.cpp
• NumLib/Fem/ShapeFunction/ShapeTri3-impl.h