cee::ug::Element

class Element

Class for a FEM element.

See the enumerator Type for all full listing of all supported element types with edge and surface description.

Public Types

enum Type

List of supported element types.

Node, edge and face order is described for each element type.

Values:

enumerator POINTS

../_images/Point1.png

Point element

enumerator BEAMS

../_images/Beam1.png

Beam element with 2 nodes.

enumerator BEAMS_3

../_images/Beam_31.png

Higher order beam element with 2 nodes.

enumerator TRIANGLES

../_images/Triangle1.png

Triangle shell element with 3 nodes. 

edge    nodes
  1     1, 2
  2     2, 3
  3     3, 1

enumerator TRIANGLES_6

../_images/Triangle_61.png

Higher order triangle shell element with 6 nodes. 

edge    nodes
  1     1, 2
  2     2, 3
  3     3, 1

enumerator QUADS

../_images/Quad1.png

Quad shell element with 4 nodes. 

edge    nodes   |   face    nodes
  1     1, 2    |     1     1, 2, 3, 4
  2     2, 3    |
  3     3, 4    |
  4     4, 1    |

enumerator QUADS_8

../_images/Quad_81.png

Higher order quad shell element with 8 nodes. 

edge    nodes   |   face    nodes
  1     1, 2    |     1     1, 5, 2, 6, 3, 7, 4, 8
  2     2, 3    |
  3     3, 4    |
  4     4, 1    |

enumerator QUADS_9

../_images/Quad_91.png

Higher order quad shell element with 9 nodes. 

edge    nodes   |   face    nodes
  1     1, 2    |     1     1, 5, 2, 6, 3, 7, 4, 8
  2     2, 3    |
  3     3, 4    |
  4     4, 1    |

enumerator TETRAHEDRONS

../_images/Tetrahedron1.png

Tetrahedron volume element with 4 nodes. 

edge   nodes   edge   nodes   |   face   nodes
  1    1, 2      4    1, 4    |     1    1, 3, 2
  2    2, 3      5    2, 4    |     2    1, 2, 4
  3    3, 1      6    3, 4    |     3    2, 3, 4
                              |     4    1, 4, 3

enumerator TETRAHEDRONS_10

../_images/Tetrahedron_101.png

Higher order tetrahedron volume element with 10 nodes. 

edge   nodes   edge   nodes   |   face   nodes
  1    1, 2      4    1, 4    |     1    1, 7, 3,  6, 2, 5
  2    2, 3      5    2, 4    |     2    1, 5, 2,  9, 4, 8
  3    3, 1      6    3, 4    |     3    2, 6, 3, 10, 4, 9
                              |     4    1, 8, 4, 10, 3, 7

enumerator PYRAMIDS

../_images/Pyramid1.png

Pyramid volume element with 5 nodes. 

edge   nodes   edge   nodes   |   face    nodes
  1    1, 2      5    1, 5    |     1     1, 4, 3, 2
  2    2, 3      6    2, 5    |     2     1, 2, 5
  3    3, 4      7    3, 5    |     3     2, 3, 5
  4    4, 1      8    4, 5    |     4     3, 4, 5
                              |     5     1, 5, 4

enumerator PYRAMIDS_13

../_images/Pyramid_131.png

Higher order pyramid volume element with 13 nodes. 

edge   nodes   edge   nodes   |   face    nodes
  1    1, 2      5    1, 5    |     1     1,  9, 4,  8, 3,  7, 2, 6
  2    2, 3      6    2, 5    |     2     1,  6, 2, 11, 5, 10
  3    3, 4      7    3, 5    |     3     2,  7, 3, 12, 5, 11
  4    4, 1      8    4, 5    |     4     3,  8, 4, 13, 5, 12
                              |     5     1, 10, 5, 13, 4,  9

enumerator PENTAHEDRONS

../_images/Pentahedron1.png

Pentahedron volume element (Wedge volume element) with 6 nodes. 

edge   nodes   edge   nodes   |   face    nodes
  1    1, 2      6    6, 4    |     1     1, 3, 2
  2    2, 3      7    1, 4    |     2     4, 5, 6
  3    3, 1      8    2, 5    |     3     1, 2, 5, 4
  4    4, 5      9    3, 6    |     4     2, 3, 6, 5
  5    5, 6                   |     5     1, 4, 6, 3

enumerator PENTAHEDRONS_15

../_images/Pentahedron_151.png

Higher order pentahedron volume element with 15 nodes. 

edge   nodes   edge   nodes   |   face    nodes
  1    1, 2      6    6, 4    |     1     1,  9, 3,  8, 2,  7
  2    2, 3      7    1, 4    |     2     4, 10, 5, 11, 6, 12
  3    3, 1      8    2, 5    |     3     1,  7, 2, 14, 5, 10, 4, 13
  4    4, 5      9    3, 6    |     4     2,  8, 3, 15, 6, 11, 5, 14
  5    5, 6                   |     5     1, 13, 4, 12, 6, 15, 3,  9

enumerator HEXAHEDRONS

../_images/Hexahedron1.png

Hexahedron volume element with 8 nodes. 

edge   nodes   edge   nodes   |   face    nodes
  1    2, 6      7    6, 7    |     1     1, 4, 3, 2
  2    1, 2      8    5, 6    |     2     5, 6, 7, 8
  3    1, 5      9    5, 8    |     3     1, 2, 6, 5
  4    1, 4     10    4, 8    |     4     2, 3, 7, 6
  5    2, 3     11    7, 8    |     5     3, 4, 8, 7
  6    3, 7     12    3, 4    |     6     1, 5, 8, 4

enumerator HEXAHEDRONS_20

../_images/Hexahedron_201.png

Higher order hexahedron volume element with 20 nodes. 

edge   nodes   edge   nodes   |   face    nodes
  1    2, 6      7    6, 7    |     1     1, 12, 4, 11, 3, 10, 2,  9
  2    1, 2      8    5, 6    |     2     5, 13, 6, 14, 7, 15, 8, 16
  3    1, 5      9    5, 8    |     3     1,  9, 2, 18, 6, 13, 5, 17
  4    1, 4     10    4, 8    |     4     2, 10, 3, 19, 7, 14, 6, 18
  5    2, 3     11    7, 8    |     5     3, 11, 4, 20, 8, 15, 7, 19
  6    3, 7     12    3, 4    |     6     1, 17, 5, 16, 8, 20, 4, 12

enumerator POLYHEDRONS

../_images/Polyhedron1.png

Polyhedron element

enumerator NULL_ELEMENT

Null.

enum Category

List of categories.

Values:

enumerator CATEGORY_SOLID

Solid elements.

enumerator CATEGORY_SHELL

Shell elements (in-plane stress, bending, shear)

enumerator CATEGORY_MEMBRANE

Membrane elements - only in-plane stress.

enumerator CATEGORY_BEAM

Beam elements - axial stress, bending, shear.

enumerator CATEGORY_TRUSS

Truss elements, axial stress only.

enumerator CATEGORY_INFINITE

Infinite element.

enumerator CATEGORY_GAP

Gap element (point contact)

enumerator CATEGORY_JOINT

Joint element.

enumerator CATEGORY_SPRINGDASHPOT

Spring & dashpot element.

enumerator CATEGORY_RIGID

Rigid element.

enumerator CATEGORY_CONSTRAINT

Constraint element, multipoint constraint.

enumerator CATEGORY_MASS

Mass element.

enumerator CATEGORY_INTERFACE

Interface element - distributed contact, boundary conditions.

enumerator CATEGORY_SUPER

Super elements.

enumerator CATEGORY_UNDEFINED

Undefined elements.

Public Static Functions

static size_t nodesPerElement(Type elementType)

Returns number of element nodes for the specified element type.

Returns cee::UNDEFINED_SIZE_T for POLYHEDRON. Use DataElements::nodesPerElement(elementIndex) for polyhedrons

static bool isVolumeElement(Type elementType)

Returns true if the element type is a volume element.

static size_t surfacesPerElement(Type elementType)

Returns number of element surfaces for the specified element type.

Returns cee::UNDEFINED_SIZE_T for POLYHEDRON. Use DataElements::surfacesPerElement(elementIndex) for polyhedrons

static std::vector<unsigned int> elementSurface(Type elementType, size_t surfaceIndex)

Returns the indices defining the element surface with index surfaceIndex of an element of type elementType.

static size_t edgesPerElement(Type elementType)

Returns number of edges for the specified element type.

Returns cee::UNDEFINED_SIZE_T for POLYHEDRON. Use DataElements::edgesPerElement(elementIndex) for polyhedrons

static std::vector<unsigned int> elementEdge(Type elementType, size_t edgeIndex)

Returns the indices defining the element edge with index edgeIndex for an element of type elementType.