On end rotation for open rods undergoing large deformations

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

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

11 Citaten (Scopus)


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.
Originele taal-2Engels
Pagina's (van-tot)385-402
TijdschriftQuarterly of Applied Mathematics
Nummer van het tijdschrift2
StatusGepubliceerd - 2007


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