Article,

From Reissner plate theory to three dimensions in large deformation shell analysis

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ZAMM - Z. Angew. Math. Mech., (2000)
DOI: 10.1002/(SICI)1521-4001(200001)80:1<61::AID-ZAMM61>3.0.CO;2-E

Abstract

The paper first focuses on the historical context in which Reissner's famous shear deformation plate theory was derived. Here essentially Eric REISSNER's own view on this matter, in particular the relation to Mindlin's contribution, is followed 15. The significance of shear deformable plate and shell theories for the derivation of finite elements is briefly described. As a major aspect it is shown how these formulations can be easily extended to a completely three-dimensional model allowing to apply unmodified 3D constitutive equations and to include large strain effects but keeping the essential features of a thin-walled structure. Finally, the importance of Reissner's variational principle for the development of hybrid finite element models is pointed out.

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