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Table 6 One layer \([0^{\circ }]\)\(\phi =\pi /8\)—mesh 26\(\times \)10—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

\({{\varvec{N}}}_{{\varvec{z}}}{{\varvec{/}}}{{\varvec{NC}}}\)

\({{\varvec{Ndof}}}_{{\varvec{z}}}\)

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

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

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

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

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

2

VS-LM4

8

198

0.2156

0.0867

\(-\) 0.3054

0.1502

0.9979

Error

  

1.03%

1.53%

0.78%

1.85%

0.21%

Exact

  

0.2179

0.0854

\(-\) 0.3078

0.1475

1.0000

4

VS-LM4

4

102

0.2202

0.0241

\(-\) 0.2670

0.1616

1.0023

Error

  

0.22%

0.46%

0.09%

1.14%

0.23%

Exact

  

0.2207

0.0240

\(-\) 0.2673

0.1597

1.0000

10

VS-LM4

2

54

0.1334

0.0051

\(-\) 0.1484

0.1826

1.0000

Error

  

0.01%

0.04%

0.05%

1.02%

0.00%

Exact

  

0.1335

0.0051

\(-\) 0.1483

0.1808

1.0000