Difference between revisions of "FEM Element Types"

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(Pentahedron element (prism))
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 +
<languages/>
 
<translate>
 
<translate>
  
<!--T:1-->
+
== Introduction == <!--T:1-->
This description is based on the MED format as described [https://hammi.extra.cea.fr/static/MED/web_med/logiciels/med-2.3.1/doc/html/modele_de_donnees.html#3. here].
+
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 == <!--T:2-->
  
==== Segment element ==== <!--T:2-->
 
 
</translate>
 
</translate>
[[Image:segments.gif]]
+
[[Image:FEM_mesh_elements_1_segment.svg|600px]]
 +
<translate>
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:17-->
|+ '''Edges of Seg2 and Seg3'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Edges of Seg2 and Seg3
 
|-
 
|-
 
! Edge !! Node 1 !! Node 2 !! Middle node
 
! Edge !! Node 1 !! Node 2 !! Middle node
Line 16: Line 20:
 
|}
 
|}
  
 +
== Triangle element == <!--T:3-->
  
 
<translate><!--T:10-->
 
<p>  <br />  </p>
 
 
==== Triangle element ==== <!--T:3-->
 
 
</translate>
 
</translate>
[[Image:triangles.gif]]
+
[[Image:FEM_mesh_elements_2_triangle.svg|600px]]
 +
<translate>
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:18-->
|+ '''Edges of Tria3 and Tria6'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Edges of Tria3 and Tria6
 
|-
 
|-
 
! Edge !! Node 1 !! Node 2 !! Middle node
 
! Edge !! Node 1 !! Node 2 !! Middle node
Line 37: Line 39:
 
|}
 
|}
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:19-->
|+ '''Face by Edges of Tria3 and Tria6'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Face by Edges of Tria3 and Tria6
 
|-
 
|-
 
! Face !! Edge 1 !! Edge 2 !! Edge 3
 
! Face !! Edge 1 !! Edge 2 !! Edge 3
Line 45: Line 48:
 
|}
 
|}
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:20-->
|+ '''Face by Nodes of Tria3'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Face by Nodes of Tria3
 
|-
 
|-
! Face !! Node 1 !! Node 2 !! Node 3 !! Node 4
+
! Face !! Node 1 !! Node 2 !! Node 3 !! Node 1
 
|-
 
|-
 
| F1 || N1 || N2 || N3 || N1  
 
| F1 || N1 || N2 || N3 || N1  
 
|}
 
|}
  
<translate><!--T:11-->
+
<!--T:21-->
<p>  <br />  </p>
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ 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
 +
|}
 +
 
 +
== Quadrangle element == <!--T:4-->
  
==== Quadratic element ==== <!--T:4-->
 
 
</translate>
 
</translate>
[[Image:quadrangles.gif]]
+
[[Image:FEM_mesh_elements_3_quadrangle.svg|600px]]
 +
<translate>
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:22-->
|+ '''Edges of Quad4 and Quad8'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Edges of Quad4 and Quad8
 
|-
 
|-
 
! Edge !! Node 1 !! Node 2 !! Middle node
 
! Edge !! Node 1 !! Node 2 !! Middle node
Line 74: Line 87:
 
|}
 
|}
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:23-->
|+ '''Face by Edges of Quad4 and Quad8'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Face by Edges of Quad4 and Quad8
 
|-
 
|-
 
! Face !! Edge 1 !! Edge 2 !! Edge 3 !! Edge 4
 
! Face !! Edge 1 !! Edge 2 !! Edge 3 !! Edge 4
Line 82: Line 96:
 
|}
 
|}
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:24-->
|+ '''Face by Nodes of Quad4'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Face by Nodes of Quad4
 
|-
 
|-
 
! Face !! Node 1 !! Node 2 !! Node 3 !! Node 4 !! Node 1
 
! Face !! Node 1 !! Node 2 !! Node 3 !! Node 4 !! Node 1
Line 90: Line 105:
 
|}
 
|}
  
<translate><!--T:12-->
+
<!--T:25-->
<p>  <br />  </p>
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ 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 == <!--T:5-->  
  
==== Tetrahedron element ==== <!--T:5-->
 
 
</translate>
 
</translate>
[[Image:tetraedres.gif]]
+
[[Image:FEM_mesh_elements_4_tetrahedron.svg|600px]]
 
+
<translate>
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:26-->
|+ '''Edges of Tetra4 and Tetra10'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Edges of Tetra4 and Tetra10
 
|-
 
|-
 
! Edge !! Node 1 !! Node 2 !! Middle node
 
! Edge !! Node 1 !! Node 2 !! Middle node
Line 116: Line 139:
 
|}
 
|}
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:27-->
|+ '''Faces by Edges of Tetra4 and Tetra10'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Faces by Edges of Tetra4 and Tetra10
 
|-
 
|-
 
! Face !! Edge 1 !! Edge 2 !! Edge 3
 
! Face !! Edge 1 !! Edge 2 !! Edge 3
Line 130: Line 154:
 
|}
 
|}
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:28-->
|+ '''Faces by Nodes of Tetra4'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Faces by Nodes of Tetra4
 
|-
 
|-
! Face !! Node 1 !! Node 2 !! Node 3 !! Node 4
+
! Face !! Node 1 !! Node 2 !! Node 3 !! Node 1
 
|-
 
|-
 
| F1 || N1 || N2 || N3 || N1  
 
| F1 || N1 || N2 || N3 || N1  
Line 144: Line 169:
 
|}
 
|}
  
<translate><!--T:13-->
+
<!--T:29-->
<p>  <br />  </p>
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 
+
|+ Faces by Nodes of Tetra10
==== Pyramid element ==== <!--T:6-->  
 
</translate>
 
[[Image:pyramides.gif]]
 
 
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''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
 
|}
 
 
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''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 || _
 
|}
 
 
 
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
 
|+ '''Faces by Nodes of Pyra5'''
 
 
|-
 
|-
! Face !! Node 1 !! Node 2 !! Node 3 !! Node4 !! Node1
+
! Face !! Node 1 !! Node 2 !! Node 3 !! Node 4 !! Node 5 !! Node 6 !! Node 1
 
|-
 
|-
| F1 || N1 || N2 || N3 || N4 || N1
+
| F1 || N1 || N5 || N2 || N6 || N3 || N7 || N1
 
|-
 
|-
| F2 || N1 || N5 || N2 || _ || N1
+
| F2 || N1 || N8 || N4 || N9 || N2 || N5 || N1
 
|-
 
|-
| F3 || N2 || N5 || N3 || _ || N2
+
| F3 || N2 || N9 || N4 || N10 || N3 || N6 || N2
 
|-
 
|-
| F4 || N3 || N5 || N4 || _ || N3
+
| F4 || N3 || N10 || N4 || N8 || N1 || N7 || N3
|-
 
| F5 || N4 || N5 || N1 || _ || N4
 
 
|}
 
|}
  
<translate><!--T:14-->
+
== Hexahedron element == <!--T:7-->
<p>  <br />  </p>
 
  
==== Hexahedron element ==== <!--T:7-->
 
 
</translate>
 
</translate>
[[Image:hexaedres.gif]]
+
[[Image:FEM_mesh_elements_5_hexahedron.svg|600px]]
 +
<translate>
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:34-->
|+ '''Edges of Hexa8 and Hexa20'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Edges of Hexa8 and Hexa20
 
|-
 
|-
 
! Edge !! Node 1 !! Node 2 !! Middle node
 
! Edge !! Node 1 !! Node 2 !! Middle node
Line 242: Line 221:
 
|}
 
|}
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:35-->
|+ '''Faces by Edges of Hexa8 and Hexa20'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Faces by Edges of Hexa8 and Hexa20
 
|-
 
|-
 
! Face !! Edge 1 !! Edge 2 !! Edge 3 !! Edge 4
 
! Face !! Edge 1 !! Edge 2 !! Edge 3 !! Edge 4
Line 260: Line 240:
 
|}
 
|}
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:36-->
|+ '''Faces by Nodes of Hexa8'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Faces by Nodes of Hexa8
 
|-
 
|-
! Face !! Node 1 !! Node 2 !! Node 3 !! Node4 !! Node1
+
! Face !! Node 1 !! Node 2 !! Node 3 !! Node 4 !! Node 1
 
|-
 
|-
 
| F1 || N1 || N2 || N3 || N4 || N1
 
| F1 || N1 || N2 || N3 || N4 || N1
Line 278: Line 259:
 
|}
 
|}
  
<translate><!--T:15-->
+
<!--T:37-->
<p>  <br />  </p>
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ 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 (prism) == <!--T:8-->
  
==== Pentahedron element ==== <!--T:8-->
 
 
</translate>
 
</translate>
[[Image:pentaedres.gif]]
+
[[Image:FEM_mesh_elements_6_pentahedron.svg|600px]]
 +
<translate>
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:38-->
|+ '''Edges of Penta6 and Penta15'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Edges of Penta6 and Penta15
 
|-
 
|-
 
! Edge !! Node 1 !! Node 2 !! Middle node
 
! Edge !! Node 1 !! Node 2 !! Middle node
Line 309: Line 309:
 
|}
 
|}
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:39-->
|+ '''Faces by Edges of Penta6 and Penta15'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Faces by Edges of Penta6 and Penta15
 
|-
 
|-
 
! Face !! Edge 1 !! Edge 2 !! Edge 3 !! Edge 4
 
! Face !! Edge 1 !! Edge 2 !! Edge 3 !! Edge 4
Line 325: Line 326:
 
|}
 
|}
  
{| class="wikitable" style="color:green; background-color:#ffffcc;" cellpadding="5" cellspacing="0" border="1"
+
<!--T:40-->
|+ '''Faces by Nodes of Penta6'''
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ Faces by Nodes of Penta6
 
|-
 
|-
! Face !! Node 1 !! Node 2 !! Node 3 !! Node4 !! Node1
+
! Face !! Node 1 !! Node 2 !! Node 3 !! Node 4 !! Node 1
 
|-
 
|-
 
| F1 || N1 || N2 || N3 || _ || N1
 
| F1 || N1 || N2 || N3 || _ || N1
Line 341: Line 343:
 
|}
 
|}
  
<translate><!--T:16-->
+
<!--T:41-->
<p> <br /> </p>
+
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ 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
 +
|}
 +
 
 +
== Pyramid element == <!--T:6-->
 +
 
 +
</translate>
 +
[[Image:FEM_mesh_elements_7_pyramid.svg|600px]]
 +
<translate>
 +
 
 +
<!--T:30-->
 +
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ 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
 +
|}
 +
 
 +
<!--T:31-->
 +
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ 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 || _
 +
|}
 +
 
 +
<!--T:32-->
 +
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ 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
 +
|}
 +
 
 +
<!--T:33-->
 +
{| class="wikitable" style="color:black; background-color:#eeeeef;" cellpadding="5" cellspacing="0" border="1"
 +
|+ 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
 +
|}
  
 
<!--T:9-->
 
<!--T:9-->
 +
{{FEM Tools navi}}
 +
{{Userdocnavi}}
 
[[Category:Developer]]
 
[[Category:Developer]]
 
[[Category:Poweruser_Documentation]]
 
[[Category:Poweruser_Documentation]]
 
</translate>
 
</translate>
 
{{clear}}
 
{{clear}}
<languages/>
 

Revision as of 07:54, 12 April 2019

Other languages:
English • ‎français • ‎italiano

Introduction

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

Segment element

FEM mesh elements 1 segment.svg

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

Triangle element

FEM mesh elements 2 triangle.svg

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

Quadrangle element

FEM mesh elements 3 quadrangle.svg

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

FEM mesh elements 4 tetrahedron.svg

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

Hexahedron element

FEM mesh elements 5 hexahedron.svg

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 (prism)

FEM mesh elements 6 pentahedron.svg

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

Pyramid element

FEM mesh elements 7 pyramid.svg

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