On end rotation for open rods undergoing large deformations

G.H.M. Heijden, van der, M.A. Peletier, R. Planqué

Research output: Contribution to journalArticleAcademicpeer-review

11 Citations (Scopus)

Abstract

We give a careful discussion of end rotation in elastic rods, focusing on ambiguities that arise if arbitrarily large deformations are allowed. By introducing a closure and restricting to a class of deformations we show that a rigorous treatment of end rotation can be obtained. The results underpin various non-rigorous discussions in the literature and serve to promote the variational analysis of boundary-value problems for rods undergoing large deformations. As an example we discuss the application to the model of a rod lying on the surface of a cylinder.
Original languageEnglish
Pages (from-to)385-402
JournalQuarterly of Applied Mathematics
Volume65
Issue number2
DOIs
Publication statusPublished - 2007

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