Civil Engineering Reference
In-Depth Information
11
12
z
y
7
x
14
2
3
6
8
10
13
5
9
1
4
Freedoms numbered from 1 to 42 in same order as the nodes
Figure 5.32 Local node and freedom numbering for the 14-node hexahedral element
conditions to the left (
x
=
1), and the 5 nodes on the front face
of the exterior box are given a uniform
y
-displacement of 0.01. The results are shown in
Figure 5.34 where it can be seen that a completely homogeneous strain field has resulted in
astressof
σ
y
=−
0) and bottom (
z
=−
0
.
01 kN/m
2
at all integrating points within the mesh. Thus, the element
passes the patch test. The current example used
nip=27
, but users could experiment with
different orders of integration.
2
6
z
10
14
y
18
x
1
5
22
16
Figure shows visible
nodes on the surface,
plus corner nodes only
of inner element.
Outer "box" is
a unit cube
13
9
8
19
15
11
element nod
'hexahedron' 14
7
3
Figure 5.33 Mesh and data for third Program 5.4 example (
Continued on page 203
)
