112
J. Chen et al.
Indicator
l
Symmetrica
l
Symmetrica
θ
1 =
ϕ
=
2
α
Fig. 14. Model and mesh for the hemispherical shell with a top hole
Table 6. w for the hemispherical shell with a top hole
4 × 4 8 × 8 16 × 16
Mixed
0.0940 0.0938 0.0939
XSHELL41 0.0976 0.0951 0.0941
XSHELL42 0.0253 0.0619 0.0912
QCS1
0.0456 0.0899 0.0933
QCS2
0.0924 0.0948 0.0934
SEIA
0.0670 0.0924 0.0935
Exact [29] 0.0940
The shell is bounded by an opposite pair of fixed arcs and an opposite pair of free
spiral lines. The middle surface has a radius of R = 100. The thickness is H = 1. A
uniform radial load p = 1 × 10 3 is imposed to the whole shell. The material constants
are E = 1 × 10 7 and ν = 0.3.
J. Chen et al.
Indicator
l
Symmetrica
l
Symmetrica
θ
1 =
ϕ
=
2
α
Fig. 14. Model and mesh for the hemispherical shell with a top hole
Table 6. w for the hemispherical shell with a top hole
4 × 4 8 × 8 16 × 16
Mixed
0.0940 0.0938 0.0939
XSHELL41 0.0976 0.0951 0.0941
XSHELL42 0.0253 0.0619 0.0912
QCS1
0.0456 0.0899 0.0933
QCS2
0.0924 0.0948 0.0934
SEIA
0.0670 0.0924 0.0935
Exact [29] 0.0940
The shell is bounded by an opposite pair of fixed arcs and an opposite pair of free
spiral lines. The middle surface has a radius of R = 100. The thickness is H = 1. A
uniform radial load p = 1 × 10 3 is imposed to the whole shell. The material constants
are E = 1 × 10 7 and ν = 0.3.