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Asymptotic finite-strain thin-plate theory for elastic solids

✍ Scribed by David J. Steigmann

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
224 KB
Volume
53
Category
Article
ISSN
0898-1221

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✦ Synopsis

We offer some observations on recent efforts to extract models for the stretching and bending of thin plates from threedimensional finite elasticity. Using an asymptotic argument like that advanced by Ciarlet and his school, we show that recent work purporting to derive a non-standard bending theory generates instead a correction to membrane theory of order thickness squared.

πŸ“œ SIMILAR VOLUMES

An asymptotic elastic–plastic plate mode
An asymptotic elastic–plastic plate model for moderate displacements and strong strain hardening
✍ O. Millet; A. Cimetiere; A. Hamdouni πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 194 KB

We propose in this paper to generalize to elastic-plastic plates the constructive asymptotic approach developed by the authors for elastic plates and shells. A dimensional analysis of three-dimensional equations makes appear dimensionless numbers characterizing the problem. Then using the geometric