Difference between revisions of "FEM Element Types"

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(Introduction)
(Marked this version for translation)
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== Introduction ==
+
== Introduction == <!--T:1-->
<!--T:1-->
 
 
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].
 
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].
  
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Edges of Seg2 and Seg3'''
 
|+ '''Edges of Seg2 and Seg3'''
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<!--T:18-->
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Edges of Tria3 and Tria6'''
 
|+ '''Edges of Tria3 and Tria6'''
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|}
 
|}
  
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<!--T:19-->
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Face by Edges of Tria3 and Tria6'''
 
|+ '''Face by Edges of Tria3 and Tria6'''
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|}
 
|}
  
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<!--T:20-->
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Face by Nodes of Tria3'''
 
|+ '''Face by Nodes of Tria3'''
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|}
 
|}
  
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<!--T:21-->
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Face by Nodes of Tria6'''
 
|+ '''Face by Nodes of Tria6'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Edges of Quad4 and Quad8'''
 
|+ '''Edges of Quad4 and Quad8'''
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|}
  
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<!--T:23-->
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Face by Edges of Quad4 and Quad8'''
 
|+ '''Face by Edges of Quad4 and Quad8'''
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|}
  
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<!--T:24-->
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Face by Nodes of Quad4'''
 
|+ '''Face by Nodes of Quad4'''
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|}
 
|}
  
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<!--T:25-->
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Face by Nodes of Quad8'''
 
|+ '''Face by Nodes of Quad8'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Edges of Tetra4 and Tetra10'''
 
|+ '''Edges of Tetra4 and Tetra10'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Faces by Edges of Tetra4 and Tetra10'''
 
|+ '''Faces by Edges of Tetra4 and Tetra10'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Faces by Nodes of Tetra4'''
 
|+ '''Faces by Nodes of Tetra4'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Faces by Nodes of Tetra10'''
 
|+ '''Faces by Nodes of Tetra10'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Edges of Pyra5 and Pyra13'''
 
|+ '''Edges of Pyra5 and Pyra13'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Faces by Edges of Pyra5 and Pyra13'''
 
|+ '''Faces by Edges of Pyra5 and Pyra13'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Faces by Nodes of Pyra5'''
 
|+ '''Faces by Nodes of Pyra5'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Faces by Nodes of Pyra13'''
 
|+ '''Faces by Nodes of Pyra13'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Edges of Hexa8 and Hexa20'''
 
|+ '''Edges of Hexa8 and Hexa20'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Faces by Edges of Hexa8 and Hexa20'''
 
|+ '''Faces by Edges of Hexa8 and Hexa20'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Faces by Nodes of Hexa8'''
 
|+ '''Faces by Nodes of Hexa8'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Faces by Nodes of Hexa20'''
 
|+ '''Faces by Nodes of Hexa20'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Edges of Penta6 and Penta15'''
 
|+ '''Edges of Penta6 and Penta15'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Faces by Edges of Penta6 and Penta15'''
 
|+ '''Faces by Edges of Penta6 and Penta15'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Faces by Nodes of Penta6'''
 
|+ '''Faces by Nodes of Penta6'''
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{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Faces by Nodes of Penta15'''
 
|+ '''Faces by Nodes of Penta15'''

Revision as of 08:28, 24 December 2018

Other languages:
English • ‎français • ‎italiano

Introduction

This description is based on the MED format as described in modele de donnes.

Segment element

Segments.gif

Edges of Seg2 and Seg3
Edge Node 1 Node 2 Middle node
E1 N1 N2 N3

Triangle element

Triangles.gif

Edges of Tria3 and Tria6
Edge Node 1 Node 2 Middle node
E1 N1 N2 N4
E2 N2 N3 N5
E3 N3 N1 N6
Face by Edges of Tria3 and Tria6
Face Edge 1 Edge 2 Edge 3
F1 E1 E2 E3
Face by Nodes of Tria3
Face Node 1 Node 2 Node 3 Node 1
F1 N1 N2 N3 N1
Face by Nodes of Tria6
Face Node 1 Node 2 Node 3 Node 4 Node 5 Node 6 Node 1
F1 N1 N4 N2 N5 N3 N6 N1

Quadratic element

Quadrangles.gif

Edges of Quad4 and Quad8
Edge Node 1 Node 2 Middle node
E1 N1 N2 N5
E2 N2 N3 N6
E3 N3 N4 N7
E4 N4 N1 N8
Face by Edges of Quad4 and Quad8
Face Edge 1 Edge 2 Edge 3 Edge 4
F1 E1 E2 E3 E4
Face by Nodes of Quad4
Face Node 1 Node 2 Node 3 Node 4 Node 1
F1 N1 N2 N3 N4 N1
Face by Nodes of Quad8
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

Tetrahedron element

Tetraedres.gif

Edges of Tetra4 and Tetra10
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
Faces by 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 Nodes of Tetra4
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 Tetra10
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

Pyramid element

Pyramides.gif

Edges of Pyra5 and Pyra13
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
Faces by 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 Nodes of Pyra5
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 Pyra13
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

Hexahedron element

Hexaedres.gif

Edges of Hexa8 and Hexa20
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
Faces by 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 Nodes of Hexa8
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 Hexa20
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

Pentahedron element

Pentaedres.gif

Edges of Penta6 and Penta15
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
Faces by 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 Nodes of Penta6
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 Penta15
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