Civil Engineering Reference
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z
n
1
3
4
1
1
1
1
2
1
3
2
1
3
1
y
2
2
3
1
4
3
3
4
3
x
2
2
1
3
5
1
5
3
4
1
1
1
1
3
6
1
7
1
3
2
2
4
6
3
n
Figure 7.7
Three-dimensional BE mesh with 3 planes of symmetry
The method can be extended to three-dimensional problems. Up to three planes of
symmetry are possible and an element has to be projected seven times. For the mesh in
Figure 7.7, we determine the incidences for the mirrored elements keeping a consistent
outward normal, as shown (anti-clockwise numbering of element 1).
Element
i
j
k
l
1
1
2
3
4
1 1
3 1
1
1
4
1 2
2 1
2
1
1
1 3
4 1
3
1
2
1 4
1 1
4 3 3 7
2 3
1 5
1 1 2 2
4
4 3
1 6
1 1 4 2 3 5
2 2
1 7
1 1
2 3 3 6
4 2
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