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FEM Element Types

Introduction

This description is based on the MED format as described in [https://hammi.extra.cea.fr/static/MED/web_med/logiciels/med-2.3.1/doc/html/modele_de_donnees.html#3. modele de donnes].

Segment element

Edge Node 1 Node 2 Middle node

E1 N1 N2 N3

: Edges of Seg2 and Seg3

Triangle element

Edge Node 1 Node 2 Middle node

E1 N1 N2 N4 E2 N2 N3 N5 E3 N3 N1 N6

: Edges of Tria3 and Tria6

Face Edge 1 Edge 2 Edge 3

F1 E1 E2 E3

: Face by Edges of Tria3 and Tria6

Face Node 1 Node 2 Node 3 Node 1

F1 N1 N2 N3 N1

: Face by Nodes of Tria3

Face Node 1 Node 2 Node 3 Node 4 Node 5 Node 6 Node 1

F1 N1 N4 N2 N5 N3 N6 N1

: Face by Nodes of Tria6

Quadrangle element

Edge Node 1 Node 2 Middle node

E1 N1 N2 N5 E2 N2 N3 N6 E3 N3 N4 N7 E4 N4 N1 N8

: Edges of Quad4 and Quad8

Face Edge 1 Edge 2 Edge 3 Edge 4

F1 E1 E2 E3 E4

: Face by Edges of Quad4 and Quad8

Face Node 1 Node 2 Node 3 Node 4 Node 1

F1 N1 N2 N3 N4 N1

: Face by Nodes of Quad4

Face Node 1 Node 2 Node 3 Node 4 Node 5 Node 6 Node 7 Node 8 Node 1

F1 N1 N5 N2 N6 N3 N7 N4 N8 N1

: Face by Nodes of Quad8

Tetrahedron element

Edge Node 1 Node 2 Middle node

E1 N1 N2 N5 E2 N2 N3 N6 E3 N3 N1 N7 E4 N1 N4 N8 E5 N2 N4 N9 E6 N3 N4 N10

: Edges of Tetra4 and Tetra10

Face Edge 1 Edge 2 Edge 3

F1 E1 E2 E3 F2 E4 -E5 -E1 F3 E5 -E6 -E2 F4 E6 -E4 -E3

: Faces by Edges of Tetra4 and Tetra10

Face Node 1 Node 2 Node 3 Node 1

F1 N1 N2 N3 N1 F2 N1 N4 N2 N1 F3 N2 N4 N3 N2 F4 N3 N4 N1 N3

: Faces by Nodes of Tetra4

Face Node 1 Node 2 Node 3 Node 4 Node 5 Node 6 Node 1

F1 N1 N5 N2 N6 N3 N7 N1 F2 N1 N8 N4 N9 N2 N5 N1 F3 N2 N9 N4 N10 N3 N6 N2 F4 N3 N10 N4 N8 N1 N7 N3

: Faces by Nodes of Tetra10

Hexahedron element

Edge Node 1 Node 2 Middle node

E1 N1 N2 N9 E2 N2 N3 N10 E3 N3 N4 N11 E4 N4 N1 N12 E5 N5 N6 N13 E6 N6 N7 N14 E7 N7 N8 N15 E8 N8 N5 N16 E9 N1 N5 N17 E10 N2 N6 N18 E11 N3 N7 N19 E12 N4 N8 N20

: Edges of Hexa8 and Hexa20

Face Edge 1 Edge 2 Edge 3 Edge 4

F1 E1 E2 E3 E4 F2 -E8 -E7 -E6 -E5 F3 E9 E5 -E10 -E1 F4 E10 E6 -E11 -E2 F5 E11 E7 -E12 -E3 F6 E12 E8 -E9 -E4

: Faces by Edges of Hexa8 and Hexa20

Face Node 1 Node 2 Node 3 Node 4 Node 1

F1 N1 N2 N3 N4 N1 F2 N5 N8 N7 N6 N5 F3 N1 N5 N6 N2 N1 F4 N2 N6 N7 N3 N2 F5 N3 N7 N8 N4 N3 F6 N4 N8 N5 N1 N4

: Faces by Nodes of Hexa8

Face Node 1 Node 2 Node 3 Node 4 Node 5 Node 6 Node 7 Node 8 Node1

F1 N1 N9 N2 N10 N3 N11 N4 N12 N1 F2 N5 N16 N8 N15 N7 N14 N6 N13 N5 F3 N1 N17 N5 N13 N6 N18 N2 N9 N1 F4 N2 N18 N6 N14 N7 N19 N3 N10 N2 F5 N3 N19 N7 N15 N8 N20 N4 N11 N3 F6 N4 N20 N8 N16 N5 N17 N1 N12 N4

: Faces by Nodes of Hexa20

Pentahedron element (prism)

Edge Node 1 Node 2 Middle node

E1 N1 N2 N7 E2 N2 N3 N8 E3 N3 N1 N9 E4 N4 N5 N10 E5 N5 N6 N11 E6 N6 N4 N12 E7 N1 N4 N13 E8 N2 N5 N14 E9 N3 N6 N15

: Edges of Penta6 and Penta15

Face Edge 1 Edge 2 Edge 3 Edge 4

F1 E1 E2 E3 _ F2 -E6 -E5 -E4 _ F3 E7 E4 -E8 -E1 F4 E8 E5 -E9 -E2 F5 E9 E6 -E7 -E3

: Faces by Edges of Penta6 and Penta15

Face Node 1 Node 2 Node 3 Node 4 Node 1

F1 N1 N2 N3 _ N1 F2 N4 N6 N5 _ N4 F3 N1 N4 N5 N2 N1 F4 N2 N5 N6 N3 N2 F5 N3 N6 N4 N1 N3

: Faces by Nodes of Penta6

Face Node 1 Node 2 Node 3 Node 4 Node 5 Node 6 Node 7 Node 8 Node 1

F1 N1 N7 N2 N8 N3 N9 _ _ N1 F2 N4 N12 N6 N11 N5 N10 _ _ N4 F3 N1 N13 N4 N10 N5 N14 N2 N7 N1 F4 N2 N14 N5 N11 N6 N15 N3 N8 N2 F5 N3 N15 N6 N12 N4 N13 N1 N9 N3

: Faces by Nodes of Penta15

Pyramid element

Edge Node 1 Node 2 Middle node

E1 N1 N2 N6 E2 N2 N3 N7 E3 N3 N4 N8 E4 N4 N1 N9 E5 N1 N5 N10 E6 N2 N5 N11 E7 N3 N5 N12 E8 N4 N5 N13

: Edges of Pyra5 and Pyra13

Face Edge 1 Edge 2 Edge 3 Edge 4

F1 E1 E2 E3 E4 F2 E5 -E6 -E1 _ F3 E6 -E7 -E2 _ F4 E7 -E8 -E3 _ F5 E8 E5 -E4 _

: Faces by Edges of Pyra5 and Pyra13

Face Node 1 Node 2 Node 3 Node4 Node1

F1 N1 N2 N3 N4 N1 F2 N1 N5 N2 _ N1 F3 N2 N5 N3 _ N2 F4 N3 N5 N4 _ N3 F5 N4 N5 N1 _ N4

: Faces by Nodes of Pyra5

Face Node 1 Node 2 Node 3 Node4 Node 5 Node 6 Node 7 Node8 Node1

F1 N1 N6 N2 N7 N3 N8 N4 N9 N1 F2 N1 N10 N5 N11 N2 N6 _ _ N1 F3 N2 N11 N5 N12 N13 N7 _ _ N2 F4 N3 N12 N5 N13 N4 N8 _ _ N3 F5 N4 N13 N5 N10 N1 N9 _ _ N4

: Faces by Nodes of Pyra13

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