MeshLib::QuadRule9 Class Reference

Detailed Description

This class represents a 2d quadrilateral element with 9 nodes. The following sketch shows the node and edge numbering.

        2
  3-----6-----2
  |           |
  |           |
3 7     8     5 1
  |           |
  |           |
  0-----4-----1
        0

Definition at line 36 of file QuadRule9.h.

#include <QuadRule9.h>

Inheritance diagram for MeshLib::QuadRule9:

Collaboration diagram for MeshLib::QuadRule9:

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

Static Public Member Functions
static unsigned	identifyFace (Node const *const *element_nodes, Node const *nodes[3])
Static Public Member Functions inherited from MeshLib::QuadRule
static bool	isPntInElement (Node const *const *nodes, MathLib::Point3d const &pnt, double eps)
static ElementErrorCode	validate (const Element *e)
static double	computeVolume (Node const *const *element_nodes)
	Calculates the area of a quad with straight edges.
Static Public Member Functions inherited from MeshLib::FaceRule
static const Element *	getFace (const Element *e, unsigned i)
	Returns the face i of the element.
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.

Static Public Attributes
static const unsigned	n_all_nodes = 9u
	Constant: The number of all nodes for this element.
static const CellType	cell_type = CellType::QUAD9
	Constant: The FEM type of the element.
static const unsigned	edge_nodes [4][3]
	Constant: Local node index table for edge.
Static Public Attributes inherited from MeshLib::QuadRule
static const unsigned	n_base_nodes = 4u
	Constant: The number of base nodes for this element.
static const MeshElemType	mesh_elem_type = MeshElemType::QUAD
	Constant: The geometric type of the element.
static const unsigned	n_edges = 4
	Constant: The number of edges.
static const unsigned	n_neighbors = 4
	Constant: The number of neighbors.
Static Public Attributes inherited from MeshLib::FaceRule
static const unsigned	dimension = 2u
	Constant: Dimension of this mesh element.
static const unsigned	n_faces = 0
	Constant: The number of faces.

Additional Inherited Members
Static Protected Member Functions inherited from MeshLib::FaceRule
template<typename ElementRule >
static unsigned	identifyFace (Node const *const *element_nodes, Node const *nodes[ElementRule::dimension])
	Returns the ID of an edge given an array of nodes.

Member Typedef Documentation

EdgeReturn

using MeshLib::QuadRule9::EdgeReturn = MeshLib::QuadraticEdgeReturn

Returns the i-th edge of the element.

Definition at line 49 of file QuadRule9.h.

Member Function Documentation

identifyFace()

static unsigned MeshLib::QuadRule9::identifyFace ( Node const *const * element_nodes, Node const * nodes[3] )

inlinestatic

Definition at line 51 of file QuadRule9.h.

    {
        return FaceRule::identifyFace<QuadRule9>(element_nodes, nodes);
    }

References MeshLib::FaceRule::identifyFace().

Member Data Documentation

cell_type

const CellType MeshLib::QuadRule9::cell_type = CellType::QUAD9

static

Constant: The FEM type of the element.

Definition at line 43 of file QuadRule9.h.

edge_nodes

const unsigned MeshLib::QuadRule9::edge_nodes

static

Initial value:

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

Constant: Local node index table for edge.

Definition at line 46 of file QuadRule9.h.

n_all_nodes

const unsigned MeshLib::QuadRule9::n_all_nodes = 9u

static

Constant: The number of all nodes for this element.

Definition at line 40 of file QuadRule9.h.

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

• MeshLib/Elements/QuadRule9.h
• MeshLib/Elements/QuadRule9.cpp