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Table 5 Errors for all 14 DOF models, 0/90/0, \(\hbox {R/a} =5, \hbox {a/h} = 5\)

From: Best theory diagrams for multilayered structures via shell finite elements

\({\varvec{R/a}} = 100\)\({\varvec{R/a}} = 10\)\({\varvec{R/a}} = 5\)
InactiveInactiveInactive
DOFError (%)DOFError (%)DOFError (%)
\(\hbox {u}_{z5}\)\(4.1 \times 10^{-6}\)\(\hbox {u}_{x3}\)\(9.5 \times 10^{-4}\)\(\hbox {u}_{x3}\)\(4.6 \times 10^{-5}\)
\(\hbox {u}_{z4}\)\(1.5 \times 10^{-4}\)\(\hbox {u}_{x5}\)\(2.1 \times 10^{-3}\)\(\hbox {u}_{x5}\)\(3.8 \times 10^{-3}\)
\(\hbox {u}_{x3}\)\(3.0 \times 10^{-4}\)\(\hbox {u}_{z4}\)\(7.3 \times 10^{-3}\)\(\hbox {u}_{x2}\)\(5.6 \times 10^{-3}\)
\(\hbox {u}_{x5}\)\(4.0 \times 10^{-4}\)\(\hbox {u}_{y5}\)\(8.5 \times 10^{-3}\)\(\hbox {u}_{y5}\)\(9.4 \times 10^{-3}\)
\(\hbox {u}_{y5}\)\(1.1 \times 10^{-3}\)\(\hbox {u}_{z5}\)\(9.0 \times 10^{-3}\)\(\hbox {u}_{z4}\)\(9.8 \times 10^{-3}\)
\(\hbox {u}_{y4}\)\(1.2 \times 10^{-3}\)\(\hbox {u}_{y3}\)\(2.6 \times 10^{-2}\)\(\hbox {u}_{y3}\)\(4.0 \times 10^{-2}\)
\(\hbox {u}_{x4}\)\(1.4 \times 10^{-3}\)\(\hbox {u}_{z2}\)\(3.6 \times 10^{-2}\)\(\hbox {u}_{z5}\)\(6.8 \times 10^{-2}\)
\(\hbox {u}_{y3}\)\(3.2 \times 10^{-3}\)\(\hbox {u}_{y4}\)\(9.2 \times 10^{-2}\)\(\hbox {u}_{z3}\)\(2.0 \times 10^{-1}\)
\(\hbox {u}_{z2}\)\(4.1 \times 10^{-3}\)\(\hbox {u}_{z3}\)\(9.6 \times 10^{-2}\)\(\hbox {u}_{z2}\)\(2.4 \times 10^{-1}\)
\(\hbox {u}_{z3}\)\(4.5 \times 10^{-3}\)\(\hbox {u}_{x4}\)11\(\hbox {u}_{y4}\)4.\(8 \times 10^{-1}\)
\(\hbox {u}_{y1}\)76\(\hbox {u}_{y1}\)18\(\hbox {u}_{x1}\)9.5
\(\hbox {u}_{x1}\)87\(\hbox {u}_{x2}\)21\(\hbox {u}_{y1}\)10
\(\hbox {u}_{y2}\)93\(\hbox {u}_{x1}\)25\(\hbox {u}_{x4}\)18
\(\hbox {u}_{x2}\)95\(\hbox {u}_{y2}\)51\(\hbox {u}_{y2}\)29
\(\hbox {u}_{z1}\)100\(\hbox {u}_{z1}\)100\(\hbox {u}_{z1}\)100