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

Authors
Citation
E. Ramm, From Reissner plate theory to three dimensions in large deformation shell analysis, Z ANG MA ME, 80(1), 2000, pp. 61-68
Citations number
25
Categorie Soggetti
Mechanical Engineering
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN journal
00442267 → ACNP
Volume
80
Issue
1
Year of publication
2000
Pages
61 - 68
Database
ISI
SICI code
0044-2267(2000)80:1<61:FRPTTT>2.0.ZU;2-M
Abstract
The paper first focuses on the historical context in which Reissner's famou s shear deformation plate theory was derived. Here essentially Eric REISSNE R's own view on this matter, in particular the relation to Mindlin's contri bution, is followed [15]. The significance of shear deformable plate and sh ell theories for the derivation of finite elements is briefly described. As a major aspect it is shown how these formulations can be easily extended t o a completely three-dimensional model allowing to apply unmodified 3D cons titutive equations and to include large strain effects but keeping the esse ntial features of a thin-walled structure. Finally, the importance of Reiss ner's variational principle for the development of hybrid finite element mo dels is pointed out.