Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells

Peter Hornung, M Lewicka, M R Pakzad

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)
144 Downloads (Pure)

Abstract

We perform a detailed analysis of first order Sobolev-regular infinitesimal isometries on developable surfaces without affine regions. We prove that given enough regularity of the surface, any first order infinitesimal isometry can be matched to an infinitesimal isometry of an arbitrarily high order. We discuss the implications of this result for the elasticity of thin developable shells.
Original languageEnglish
Pages (from-to)1-19
Number of pages20
JournalJournal of Elasticity
DOIs
Publication statusPublished - Mar 2013

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