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Table 4 One layer \([0^{\circ }]\)\(\phi =\pi /3\)—mesh 26 \(\times \) 10—\(N_z = 4 \times NC\)—two-order expansion of \(1/\mu \)

From: Modeling of cylindrical composite shell structures based on the Reissner’s Mixed Variational Theorem with a variable separation method

S

Model

\(\bar{{{\varvec{u}}}}{{\varvec{(0,e/2)}}}\)

\(\bar{{{\varvec{w}}}}{{\varvec{(L,0)}}}\)

\(\bar{\varvec{\sigma }}_{{{\varvec{11}}}}{{\varvec{(-e/2)}}}\)

\(\bar{\varvec{\sigma }}_{{{\varvec{13}}}}{{\varvec{(0)}}}\)

\(\bar{\varvec{\sigma }}_{{{\varvec{33}}}}\) max

2

VS-LM4

4.7645

0.9938

\(-\) 2.4609

0.5560

1.0111

Error

0.11%

0.18%

0.25%

0.09%

1.11%

Exact

4.7696

0.9956

\(-\) 2.4546

0.5565

1.

4

VS-LM4

2.6411

0.3119

\(-\) 1.3329

0.5720

1.0110

Error

0.01%

0.02%

0.16%

0.32%

1.10%

Exact

2.6408

0.3120

\(-\) 1.3309

0.5739

1.

10

VS-LM4

2.6847

0.1147

\(-\) 0.8907

0.5784

\(-\) 1.5176

Error

0.02%

0.02%

0.09%

0.24%

0.77%

Exact

2.6843

0.1146

\(-\) 0.8898

0.5798

\(-\) 1.5059