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The large rotations theory of elasto‐viscoplastic shells subjected to the dynamic and thermal loads

B. Bouhafs (EUDIL Dept Mecanique, Univ des Sciences et Tech de Lille, Cite Scientifique, Villeneuve D'Ascq, France)
K. Woznica (EUDIL Dept Mecanique, Univ des Sciences et Tech de Lille, Cite Scientifique, Villeneuve D'Ascq, France)
P. Klosowski (EUDIL Dept Mecanique, Univ des Sciences et Tech de Lille, Cite Scientifique, Villeneuve D'Ascq, France)

Engineering Computations

ISSN: 0264-4401

Publication date: 1 June 2003

Abstract

In this paper, the problem of the elasto‐viscoplastic dynamic and thermal behaviour of geometrically non‐linear plates and shells is studied under the assumption of small strains and large rotations. The first‐order shear deformation shell theory and the Chaboche constitutive viscoplastic model taking the temperature fields into account are used for computations. An effective procedure using the central difference method of solving the equations of motion is applied. The trapezoidal method is used to integrate the constitutive viscoplastic law. A nine node isoparametric shell element has been utilised for the finite element algorithm. Finally, some examples are presented and compared with the results obtained by moderate rotation theory.

Keywords

  • Shells
  • Plates
  • Temperature
  • Viscoplasticity
  • Dynamics

Citation

Bouhafs, B., Woznica, K. and Klosowski, P. (2003), "The large rotations theory of elasto‐viscoplastic shells subjected to the dynamic and thermal loads", Engineering Computations, Vol. 20 No. 4, pp. 366-389. https://doi.org/10.1108/02644400310476306

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Publisher

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MCB UP Ltd

Copyright © 2003, MCB UP Limited

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