Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence

Gero Friesecke, Richard D. James, Maria Giovanna Mora, Stefan Müller

Research output: Contribution to journalArticlepeer-review

127 Scopus citations

Abstract

We show that the nonlinear bending theory of shells arises as a Γ-limit of three-dimensional nonlinear elasticity.

Original languageEnglish (US)
Pages (from-to)697-702
Number of pages6
JournalComptes Rendus Mathematique
Volume336
Issue number8
DOIs
StatePublished - Apr 15 2003

Bibliographical note

Funding Information:
RDJ thanks AFOSR/MURI (F49620-98-1-0433), NSF (DMS-0074043) and ONR (ONR/UMD/Z897101) for supporting this work. GF, MGM and SM were partially supported by the TMR network FMRX-CT98-0229.

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