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).
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#include <Penta6.h>
Inheritance diagram for Penta6:
Public Member Functions | |
| Penta6 () | |
| Default Constructor. | |
| Penta6 (const Element *element) | |
Constructor when data of Element el are given. More... | |
| ~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. More... | |
| vector< Point< real_t > > | DSh () const |
| Return partial derivatives of shape functions of element nodes. More... | |
| real_t | getMaxEdgeLength () const |
| Return Maximum length of pentahedron edges. | |
| real_t | getMinEdgeLength () const |
| Return Mimimum length of pentahedron edges. | |
| Public Member Functions inherited from FEShape | |
| FEShape () | |
| Default Constructor. | |
| FEShape (const Element *el) | |
| Constructor for an element. More... | |
| FEShape (const Side *sd) | |
| Constructor for a side. More... | |
| 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. More... | |
| real_t | getDet () const |
| Return determinant of jacobian. More... | |
| Point< real_t > | getCenter () const |
| Return coordinates of center of element. | |
| Point< real_t > | getLocalPoint () const |
| Localize a point in the element. More... | |
| Point< real_t > | getLocalPoint (const Point< real_t > &s) const |
| Localize a point in the element. More... | |
Detailed Description
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.
- Copyright
- GNU Lesser Public License
Constructor & Destructor Documentation
◆ Penta6()
Member Function Documentation
◆ DSh()
Return partial derivatives of shape functions of element nodes.
- Returns
- LocalVect instance of partial derivatives of shape functions e.g.
dsh(i).x,dsh(i).y, are partial derivatives of the i-th shape function.
- Note
- The local point at which the derivatives are computed must be chosen before by using the member function setLocal