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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

\({\varvec{R/a}} = 100\) | \({\varvec{R/a}} = 10\) | \({\varvec{R/a}} = 5\) | |||
---|---|---|---|---|---|

Inactive | Inactive | Inactive | |||

DOF | Error (%) | DOF | Error (%) | DOF | Error (%) |

\(\hbox {u}_{z5}\) | \(4.1 \times 10^{-6}\) | \(\hbox {u}_{x3}\) | \(9.5 \times 10^{-4}\) | \(\hbox {u}_{x3}\) | \(4.6 \times 10^{-5}\) |

\(\hbox {u}_{z4}\) | \(1.5 \times 10^{-4}\) | \(\hbox {u}_{x5}\) | \(2.1 \times 10^{-3}\) | \(\hbox {u}_{x5}\) | \(3.8 \times 10^{-3}\) |

\(\hbox {u}_{x3}\) | \(3.0 \times 10^{-4}\) | \(\hbox {u}_{z4}\) | \(7.3 \times 10^{-3}\) | \(\hbox {u}_{x2}\) | \(5.6 \times 10^{-3}\) |

\(\hbox {u}_{x5}\) | \(4.0 \times 10^{-4}\) | \(\hbox {u}_{y5}\) | \(8.5 \times 10^{-3}\) | \(\hbox {u}_{y5}\) | \(9.4 \times 10^{-3}\) |

\(\hbox {u}_{y5}\) | \(1.1 \times 10^{-3}\) | \(\hbox {u}_{z5}\) | \(9.0 \times 10^{-3}\) | \(\hbox {u}_{z4}\) | \(9.8 \times 10^{-3}\) |

\(\hbox {u}_{y4}\) | \(1.2 \times 10^{-3}\) | \(\hbox {u}_{y3}\) | \(2.6 \times 10^{-2}\) | \(\hbox {u}_{y3}\) | \(4.0 \times 10^{-2}\) |

\(\hbox {u}_{x4}\) | \(1.4 \times 10^{-3}\) | \(\hbox {u}_{z2}\) | \(3.6 \times 10^{-2}\) | \(\hbox {u}_{z5}\) | \(6.8 \times 10^{-2}\) |

\(\hbox {u}_{y3}\) | \(3.2 \times 10^{-3}\) | \(\hbox {u}_{y4}\) | \(9.2 \times 10^{-2}\) | \(\hbox {u}_{z3}\) | \(2.0 \times 10^{-1}\) |

\(\hbox {u}_{z2}\) | \(4.1 \times 10^{-3}\) | \(\hbox {u}_{z3}\) | \(9.6 \times 10^{-2}\) | \(\hbox {u}_{z2}\) | \(2.4 \times 10^{-1}\) |

\(\hbox {u}_{z3}\) | \(4.5 \times 10^{-3}\) | \(\hbox {u}_{x4}\) | 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 |