Defines a 6-node pentahedral finite element using P1
interpolation in local coordinates (s.x,s.y)
and Q1
isoparametric interpolation in local coordinates (s.x,s.z)
and (s.y,s.z)
.
More...
#include <Penta6.h>
Public Member Functions | |
Penta6 () | |
Default Constructor. | |
Penta6 (const Element *element) | |
Constructor when data of Element el are given. | |
~Penta6 () | |
Destructor. | |
void | set (const Element *el) |
Choose element by giving its pointer. | |
void | setLocal (const Point< real_t > &s) |
Initialize local point coordinates in element. | |
vector< Point< real_t > > | DSh () const |
Return partial derivatives of shape functions of element nodes. | |
real_t | getMaxEdgeLength () const |
Return Maximum length of pentahedron edges. | |
real_t | getMinEdgeLength () const |
Return Mimimum length of pentahedron edges. | |
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FEShape () | |
Default Constructor. | |
FEShape (const Element *el) | |
Constructor for an element. | |
FEShape (const Side *sd) | |
Constructor for a side. | |
virtual | ~FEShape () |
Destructor. | |
real_t | Sh (size_t i) const |
Return shape function of node i at given point. | |
real_t | Sh (size_t i, Point< real_t > s) const |
Calculate shape function of node i at a given point s . | |
real_t | getDet () const |
Return determinant of jacobian. | |
Point< real_t > | getCenter () const |
Return coordinates of center of element. | |
Point< real_t > | getLocalPoint () const |
Localize a point in the element. | |
Point< real_t > | getLocalPoint (const Point< real_t > &s) const |
Localize a point in the element. | |
Defines a 6-node pentahedral finite element using P1
interpolation in local coordinates (s.x,s.y)
and Q1
isoparametric interpolation in local coordinates (s.x,s.z)
and (s.y,s.z)
.
The reference element is the cartesian product of the standard reference triangle with the line [-1,1]
. The nodes are ordered as follows: Node 1 in reference element is at s=(1,0,0) Node 2 in reference element is at s=(0,1,0) Node 3 in reference element is at s=(0,0,0) Node 4 in reference element is at s=(1,0,1) Node 5 in reference element is at s=(0,1,1) Node 6 in reference element is at s=(0,0,1)
The user must take care to the fact that determinant of jacobian and other quantities depend on the point in the reference element where they are calculated. For this, before any utilization of shape functions or jacobian, function setLocal() must be invoked.
vector< Point< real_t > > DSh | ( | ) | const |
Return partial derivatives of shape functions of element nodes.
dsh(i)
.x, dsh(i)
.y, are partial derivatives of the i-th shape function.