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Variational principles and hybrid approach for finite deformation analysis of shells

✍ Scribed by Qin, Q. H. ;Jin, F. S.

Publisher
Wiley (John Wiley & Sons)
Year
1991
Tongue
English
Weight
262 KB
Volume
7
Category
Article
ISSN
0748-8025

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✦ Synopsis

Abstract

A complementary Hu‐Washizu functional Ξ“~3~, based on formulae presented by Atluri (1984), is given in dyadic notation. By introducing Legendre transformation, the Heillinger‐Reissner functional Ξ ~2~, Ξ“~2~ and the classic potential energy functional Ξ ~1~ are obtained. An incremental modelling of functional Ξ“~3~ for the analysis of finite deformation and finite rotations of arbitrarily shaped shells is presented. The numerical results are shown to be in good agreement with those found in published literature.

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