Civil Engineering Reference
In-Depth Information
element nod
'quadrilateral' 9
nels nn nip nodof nst ndim np_types
6 35 9 2 3 2 1
prop(e,v,
g
)
1.0e6 0.3 0.0
etype(not needed)
g_coord
0.0 0.0 1.5 0.0 3.0 0.0 4.5 0.0 6.0 0.0 0.0 -1.5
1.5 -1.5 3.0 -1.5 4.5 -1.5 6.0 -1.5 0.0 -3.0 1.5 -3.0
3.0 -3.0 4.5 -3.0 6.0 -3.0 0.0 -4.5 1.5 -4.5 3.0 -4.5
4.5 -4.5 6.0 -4.5 0.0 -6.0 1.5 -6.0 3.0 -6.0 4.5 -6.0
6.0 -6.0 0.0 -7.5 1.5 -7.5 3.0 -7.5 4.5 -7.5 6.0 -7.5
0.0 -9.0 1.5 -9.0 3.0 -9.0 4.5 -9.0 6.0 -9.0
g_num
11 6 1 2 3 8 13 12 7
21 16 11 12 13 18 23 22 17
31 26 21 22 23 28 33 32 27
13 8 3 4 5 10 15 14 9
23 18 13 14 15 20 25 24 19
33 28 23 24 25 30 35 34 29
nr,(k,nf(:,k),i=1,nr)
17
1 0 1 5 0 1 6 0 1 10 0 1 11 0 1 15 0 1
16 0 1 20 0 1 21 0 1 25 0 1 26 0 1 30 0 1
31 0 0 32 0 0 33 0 0 34 0 0 35 0 0
loaded_nodes,(k,loads(nf(:,k)),i=1,loaded_nodes)
3
1 0.0 -0.5 2 0.0 -2.0 3 0.0 -0.5
fixed_freedoms
0
Figure 5.27
(
Continued from page 198
)
compressive stress of 1 kN/m
2
(Appendix A). The computed results given in Figure 5.31
show that the cube compresses uniformly and that the vertical stress
σ
z
, at the centroid is
equal to unity, and in equilibrium with the applied loads.
The simplest member of the hexahedral or “brick” element family has 8 nodes, situated
at the corners, however the element is quite “stiff” in certain deformation modes and a
more commonly available element in commercial programs is the 20-node brick. Both
of these elements are available in Programs 5.3 and 5.4, as is an intermediate 14-node
element proposed by Smith and Kidger (1992). This intermediate element has 8 corner
nodes, supplemented by 6 mid-face nodes with a numbering system given in Figure 5.32.
There are several versions of this element, and one of them (“Type 6”) is illustrated in the
next example (See Section 3.7.9).
The analysis shown in Figure 5.33 is of a “patch” mesh suggested by Peano (1987)
for testing the admissibility of solid elements. The outer cube has smooth, rigid boundary
