FEM Modeling > Patran Element Library > Hex Element Topology
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Hex Element Topology
Patran contains eight different hex element topologies: Hex8, Hex9, Hex20, Hex21, Hex26, Hex27, Hex32, Hex64.
General Data
Shape = Hex
Element dimensionality= 3
Number of corner nodes = 8
Number of edges = 12
Number of faces = 6
Number of face edges = 4
General Shape
TheHex parametric coordinates (Rectangular) are:
1. X axis for the Hex element is from node 1-->2.
2. Y axis for the Hex element is from node 1-->4.
3. Z axis for the Hex element is from node 1-->5.
 
Table 15‑67
Face ID
Sense
Edge 1
Edge 2
Edge 3
Edge 4
1
1
1
2
3
4
2
‑1
5
6
7
8
3
‑1
1
10
5
9
4
‑1
2
11
6
10
5
‑1
3
12
7
11
6
‑1
4
9
8
12
Specific Data ‑ Hex8
Element name = Hex8
Number of nodes = 8
Order = linear
Degenerate element name = Wedge6
 
Table 15‑68 Hex8 Edge Numbering
Edge Number
Node 1
Node 2
1
1
2
2
2
6
3
6
5
4
5
1
5
4
3
6
3
7
7
7
8
8
8
4
9
1
4
10
2
3
11
6
7
12
5
8
 
Table 15‑69
Node Number
Xi/Eta/Zeta
1
-1.0, -1.0, -1.0
2
1.0, -1.0, -1.0
3
1.0, 1.0, -1.0
4
-1.0, 1.0, -1.0
5
-1.0, -1.0, 1.0
6
1.0, -1.0, 1.0
7
1.0, 1.0, 1.0
8
-1.0, 1.0, 1.0
For more information, see Hex8.
Specific Data ‑ Hex9
Element name = Hex9
Number of nodes = 9
Order = linear
Degenerate element name = Wedge7
Table 15‑70
Edge Number
Node 1
Node 2
1
1
2
2
2
6
3
6
5
4
5
1
5
4
3
6
3
7
7
7
8
8
8
4
9
1
4
10
2
3
11
6
7
12
5
8
 
Table 15‑71
Node Number
Xi/Eta/Zeta
1
-1.0, -1.0, -1.0
2
1.0, -1.0, -1.0
3
1.0, 1.0, -1.0
4
-1.0, 1.0, -1.0
5
-1.0, -1.0, 1.0
6
1.0, -1.0, 1.0
7
1.0, 1.0, 1.0
8
-1.0, 1.0, 1.0
9
0.0, 0.0, 0.0
For more information, see Hex9.
Specific Data ‑ Hex20
Element name = Hex20
Number of nodes = 20
Order = quadratic
Degenerate element name = Wedge15
Table 15‑72
Edge Number
Node 1
Node 2
Node 3
1
1
9
2
2
2
14
6
3
6
17
5
4
5
13
1
5
4
11
3
6
3
15
7
7
7
19
8
8
8
16
4
9
1
12
4
10
2
10
3
11
6
18
7
12
5
20
8
 
Table 15‑73
Node Number
Xi/Eta/Zeta
1
-1.0, -1.0, -1.0
2
1.0, -1.0, -1.0
3
1.0, 1.0, -1.0
4
-1.0, 1.0, -1.0
5
-1.0, -1.0, 1.0
6
1.0, -1.0, 1.0
7
1.0, 1.0, 1.0
8
-1.0, 1.0, 1.0
9
0.0, -1.0, -1.0
10
1.0, 0.0, -1.0
11
0.0, 1.0, -1.0
12
-1.0, 0.0, -1.0
13
-1.0, -1.0, 0.0
14
1.0, -1.0, 0.0
15
1.0, 1.0, 0.0
16
-1.0, 1.0, 0.0
17
0.0, -1.0, 1.0
18
1.0, 0.0, 1.0
19
0.0, 1.0, 1.0
20
-1.0, 0.0, 1.0
For more information, see Hex20.
Specific Data ‑ Hex21
Element name = Hex21
Number of nodes = 21
Order = quadratic
Degenerate element name = Wedge16
 
Table 15‑74
Edge Number
Node 1
Node 2
Node 3
1
1
9
2
2
2
14
6
3
6
17
5
4
5
13
1
5
4
11
3
6
3
15
7
7
7
19
8
8
8
16
4
9
1
12
4
10
2
10
3
11
6
18
7
12
5
20
8
 
Table 15‑75
Node Number
Xi/Eta/Zeta
1
-1.0, -1.0, -1.0
2
1.0, -1.0, -1.0
3
1.0, 1.0, -1.0
4
-1.0, 1.0, -1.0
5
-1.0, -1.0, 1.0
6
1.0, -1.0, 1.0
7
1.0, 1.0, 1.0
8
-1.0, 1.0, 1.0
9
0.0, -1.0, -1.0
10
1.0, 0.0, -1.0
11
0.0, 1.0, -1.0
12
-1.0, 0.0, -1.0
13
-1.0, -1.0, 0.0
14
1.0, -1.0, 0.0
15
1.0, 1.0, 0.0
16
-1.0, 1.0, 0.0
17
0.0, -1.0, 1.0
18
1.0, 0.0, 1.0
19
0.0, 1.0, 1.0
20
-1.0, 0.0, 1.0
21
0.0, 0.0, 0.0
For more information, see Hex21.
Specific Data ‑ Hex26
Element name = Hex26
Number of nodes = 26
Order = quadratic
Degenerate element name = Wedge20
Table 15‑76
Edge Number
Node 1
Node 2
Node 3
1
1
9
2
2
2
14
6
3
6
17
5
4
5
13
1
5
4
11
3
6
3
15
7
7
7
19
8
8
8
16
4
9
1
12
4
10
2
10
3
11
6
18
7
12
5
20
8
 
Table 15‑77
Node Number
Xi/Eta/Zeta
1
-1.0, -1.0, -1.0
2
1.0, -1.0, -1.0
3
1.0, 1.0, -1.0
4
-1.0, 1.0, -1.0
5
-1.0, 1.0, 1.0
6
1.0, -1.0, 1.0
7
1.0, 1.0, 1.0
8
-1.0, 1.0, 1.0
9
0.0, -1.0, -1.0
10
1.0, 0.0, -1.0
11
0.0, 1.0, -1.0
12
-1.0, 0.0, -1.0
13
-1.0, -1.0, 0.0
14
1.0, -1.0, 0.0
15
1.0, 1.0, 0.0
16
-1.0, 1.0, 0.0
17
0.0, -1.0, 1.0
18
1.0, 0.0, 1.0
19
0.0, 1.0, 1.0
20
-1.0, 0.0, 1.0
21
0.0, 0.0, -1.0
22
0.0, 0.0, -1.0
23
-1.0, 0.0, 0.0
24
1.0, 0.0, 0.0
25
0.0, -1.0, 0.0
26
0.0, 1.0, 0.0
For more information, see Hex26.
Specific Data ‑ Hex27
Element name = Hex27
Number of nodes = 27
Order = quadratic
Degenerate element name = Wedge21
Table 15‑78
Edge Number
Node 1
Node 2
Node 3
1
1
9
2
2
2
14
6
3
6
17
5
4
5
13
1
5
4
11
3
6
3
15
7
7
7
19
8
8
8
16
4
9
1
12
4
10
2
10
3
11
6
18
7
12
5
20
8
 
Table 15‑79
Node Number
Xi/Eta/Zeta
1
-1.0, -1.0, -1.0
2
1.0, -1.0, -1.0
3
1.0, 1.0, -1.0
4
-1.0, 1.0, -1.0
5
-1.0, -1.0, 1.0
6
1.0, -1.0, 1.0
7
1.0, 1.0, 1.0
8
-1.0, 1.0, 1.0
9
0.0, -1.0, -1.0
10
1.0, 0.0, -1.0
11
0.0, 1.0, -1.0
12
-1.0, 0.0, -1.0
13
-1.0, -1.0, 0.0
14
1.0, -1.0, 0.0
15
1.0, 1.0, 0.0
16
-1.0, 1.0, 0.0
17
0.0, -1.0, 1.0
18
1.0, 0.0, 1.0
19
0.0, 1.0, 1.0
20
-1.0, 0.0, 1.0
21
0.0, 0.0, 0.0
22
0.0, 0.0, -1.0
23
0.0, 0.0, 1.0
24
-1.0, 0.0, 0.0
25
1.0, 0.0, 0.0
26
0.0, -1.0, 0.0
27
0.0, 1.0, 0.0
For more information, see Hex27.
Specific Data ‑ Hex32
Element name = Hex32
Number of nodes = 32
Order = cubic
Degenerate element name = Wedge24
Table 15‑80
Edge Number
Node 1
Node 2
Node 3
Node 4
1
1
9
10
2
2
2
18
22
6
3
6
26
25
5
4
5
21
17
1
5
4
14
13
3
6
3
19
23
7
7
7
29
30
8
8
8
24
20
4
9
1
16
15
4
10
2
11
12
3
11
6
27
28
7
12
5
32
31
8
 
Table 15‑81
Node Number
Xi/Eta/Zeta
Node Number
Xi/Eta/Zeta
1
-1.0, -1.0, -1.0
17
-1.0, -1.0, -1/3
2
1.0, -1.0, -1.0
18
1.0, -1.0, -1/3
3
1.0, 1.0, -1.0
19
1.0, 1.0, -1/3
4
-1.0, 1.0, -1.0
20
-1.0, 1.0, -1/3
5
-1.0, -1.0, 1.0
21
-1.0, -1.0, 1/3
6
1.0, -1.0, 1.0
22
1.0, -1.0, 1/3
7
1.0, 1.0, 1.0
23
1.0, 1.0, 1/3
8
-1.0, 1.0, 1.0
24
-1.0, 1.0, 1/3
9
-1/3, -1.0, -1.0
25
-1/3, -1.0, 1.0
10
1/3, -1.0, -1.0
26
1/3, -1.0, 1.0
11
1.0, -1/3, -1.0
27
1.0, -1/3, 1.0
12
1.0, 1/3, -1.0
28
1.0, 1/3, 1.0
13
1/3, 1.0, -1.0
29
1/3, 1.0, 1.0
14
-1/3, 1.0, -1.0
30
-1/3, 1.0, 1.0
15
-1.0, 1/3, -1.0
31
-1.0, 1/3, 1.0
16
-1.0, -1/3, -1.0
32
-1.0, -1/3, 1.0
For more information, see Hex32.
Specific Data ‑ Hex64
Element name = Hex64
Number of nodes = 64
Order = cubic
Degenerate element name = Wedge52
 
Table 15‑82
Edge Number
Node 1
Node 2
Node 3
Node 4
1
1
9
10
2
2
2
18
22
6
3
6
26
25
5
4
5
21
17
1
5
4
14
13
3
6
3
19
23
7
7
7
29
30
8
8
8
24
20
4
9
1
16
15
4
10
2
11
12
3
11
6
27
28
7
12
5
32
31
8
 
Table 15‑83
Node Number
Xi/Eta/Zeta
Node Number
Xi/Eta/Zeta
Node Number
Xi/Eta/Zeta
1
-1.0, -1.0, -1.0
23
1.0, 1.0, 1/3
45
-1/3, -1/3, -1/3
2
1.0, -1.0, -1.0
24
-1.0, 1.0, 1/3
46
1/3, -1/3, -1/3
3
1.0, 1.0, -1.0
25
-1/3, -1.0, 1.0
47
1/3, 1/3, -1/3
4
-1.0, 1.0, -1.0
26
1/3, -1.0, 1.0
48
-1/3, 1/3, -1/3
5
-1.0, -1.0, 1.0
27
1.0, -1/3, 1.0
49
-1/3, -1.0, 1/3
6
1.0, -1.0, 1.0
28
1.0, 1/3, 1.0
50
1/3, -1.0, 1/3
7
1.0, 1.0, 1.0
29
1/3, 1.0, 1.0
51
1.0, -1/3, 1/3
8
-1.0, 1.0, 1.0
30
-1/3, 1.0, 1.0
52
1.0, 1/3, 1/3
9
-1/3, -1.0, -1.0
31
-1.0, 1/3, 1.0
53
1/3, 1.0, 1/3
10
1/3, -1.0, -1.0
32
-1.0, -1/3, -1.0
54
-1/3, 1.0, 1/3
11
1.0, -1/3, -1.0
33
-1/3, -1/3, -1.0
55
-1.0, 1/3, 1/3
12
1.0, 1/3, -1.0
34
1/3, -1/3, -1.0
56
-1.0, -1/3, 1/3
13
1/3, 1.0, -1.0
35
1/3, 1/3, -1.0
57
-1/3, -1/3, 1/3
14
-1/3, 1.0, -1.0
36
-1/3, 1/3, -1.0
58
1/3, -1/3, 1/3
15
-1.0,1/3, -1.0
37
-1/3, -1.0, -1/3
59
1/3, 1/3, 1/3
16
-1.0, -1/3, -1.0
38
1/3, -1.0, -1/3
60
-1/3, 1/3, 1/3
17
-1.0, -1.0, -1/3
39
1.0, -1/3, -1/3
61
-1/3, -1/3, 1.0
18
1.0, -1.0, -1/3
40
1.0, 1/3, -1/3
62
1/3, -1/3, 1.0
19
1.0, 1.0, -1/3
41
1/3, 1.0, -1/3
63
1/3, 1/3, 1.0
20
-1.0, 1.0, -1/3
42
-1/3, 1.0, -1/3
64
-1/3, 1/3, 1.0
21
-1.0, -1.0, 1/3
43
-1.0, 1/3, -1/3
 
 
22
1.0, -1.0, 1/3
44
-1.0, -1/3, -1/3
 
 
For more information, see Hex64.