Detailed Description

This class represents a 2d quadrilateral element with 8 nodes. The following sketch shows the node and edge numbering.

        2
  3-----6-----2
  |           |
  |           |
3 7           5 1
  |           |
  |           |
  0-----4-----1
        0

Definition at line 36 of file QuadRule8.h.

#include <QuadRule8.h>

Inheritance diagram for MeshLib::QuadRule8:

Collaboration diagram for MeshLib::QuadRule8:

Public Types
using	EdgeReturn = MeshLib::QuadraticEdgeReturn
	Returns the i-th edge of the element. More...

Public Types inherited from MeshLib::QuadRule4
using	EdgeReturn = MeshLib::LinearEdgeReturn
	Returns the i-th edge of the element. More...

Static Public Attributes
static const unsigned	n_all_nodes = 8u
	Constant: The number of all nodes for this element. More...

static const CellType	cell_type = CellType::QUAD8
	Constant: The FEM type of the element. More...

static const unsigned	edge_nodes [4][3]
	Constant: Local node index table for edge. More...

Static Public Attributes inherited from MeshLib::QuadRule4
static const unsigned	n_base_nodes = 4u
	Constant: The number of base nodes for this element. More...

static const unsigned	n_all_nodes = 4u
	Constant: The number of all nodes for this element. More...

static const MeshElemType	mesh_elem_type = MeshElemType::QUAD
	Constant: The geometric type of the element. More...

static const CellType	cell_type = CellType::QUAD4
	Constant: The FEM type of the element. More...

static const unsigned	n_edges = 4
	Constant: The number of edges. More...

static const unsigned	n_neighbors = 4
	Constant: The number of neighbors. More...

static const unsigned	edge_nodes [4][2]
	Constant: Local node index table for edge. More...

Static Public Attributes inherited from MeshLib::FaceRule
static const unsigned	dimension = 2u
	Constant: Dimension of this mesh element. More...

static const unsigned	n_faces = 0
	Constant: The number of faces. More...

Additional Inherited Members
Static Public Member Functions inherited from MeshLib::QuadRule4
static bool	isPntInElement (Node const const nodes, MathLib::Point3d const &pnt, double eps)

static ElementErrorCode	validate (const Element *e)

static unsigned	identifyFace (Node const const , Node const *nodes[3])
	Returns the ID of a face given an array of nodes. More...

static double	computeVolume (Node const const _nodes)
	Calculates the volume of a convex hexahedron by partitioning it into six tetrahedra. More...

Static Public Member Functions inherited from MeshLib::FaceRule
static const Element *	getFace (const Element *e, unsigned i)
	Returns the face i of the element. More...

static bool	testElementNodeOrder (Element const &e)

static Eigen::Vector3d	getFirstSurfaceVector (Element const &e)

static Eigen::Vector3d	getSecondSurfaceVector (Element const &e)

static Eigen::Vector3d	getSurfaceNormal (Element const &e)
	Returns the surface normal of a 2D element. More...

Member Typedef Documentation

Returns the i-th edge of the element.

Definition at line 49 of file QuadRule8.h.

const CellType MeshLib::QuadRule8::cell_type = CellType::QUAD8

static

Constant: The FEM type of the element.

Definition at line 43 of file QuadRule8.h.

const unsigned MeshLib::QuadRule8::edge_nodes

static

Initial value:

= {
    {0, 1, 4},  
    {1, 2, 5},  
    {2, 3, 6},  
    {0, 3, 7}   
}

Constant: Local node index table for edge.

Definition at line 46 of file QuadRule8.h.

const unsigned MeshLib::QuadRule8::n_all_nodes = 8u

static

Constant: The number of all nodes for this element.

Definition at line 40 of file QuadRule8.h.

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