Civil Engineering Reference
In-Depth Information
Program 5.3 is the 3D counterpart of Program 5.1, and is capable of performing elastic
analysis of 3D cuboid meshes consisting of hexahedral brick-shaped elements. The program
can incorporate 8-, 14-, or 20-node hexahedra and includes a geometry subroutine called
hexahedron xz
for generating meshes in which nodes and elements are counted in
xz
-planes moving in the
y
-direction as illustrated in Figure 5.22.
nxe=1
nye=3
nze=2
numbering order
x-z-y
58
59
52
60
39
33
40
53
z
20
41
21
14
62
34
y
5
z_coords(1)
22
1
43
15
3
65
2
3
24
55
x
4
46
1
67
5
36
z_coords(2)
6
27
6
48
8
17
70
4
7
29
57
y_coords(4)
9
2
51
10
38
y_coords(3)
z_coords(3)
32
11
19
y_coords(2)
12
13
x_coords(1)
x_coords(2)
y_coords(1)
Figure 5.22 Global node and element numbering for mesh of 20-node hexahedra
15
16
z
17
y
10
x
11
14
18
3
5
4
20
19
2
13
6
9
12
1
7
8
Freedoms numbered from 1 to 60 in same order as the nodes
Figure 5.23 Local node and freedom numbering for the 20-node hexahedral element
