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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
5/1997

Paradox bending behavior of shearable nonlineary elastic rods

Friedemann Schuricht and Bernhard Werner

Abstract

In nonlinear elasticity the exact geometry of deformation is combined with general constitutive relations. This allows a very sophisticated interaction of deformations in different material directions. Idealizing certain properties of the body we use the Cosserat theory for planar deformations of nonlinearly elastic rods to demonstrate some paradox bending effect caused by a nontrivial interaction of extension, flexure, and shear. The analytical results are visualized by numerical examples.

Received:
Mar 21, 1997
Published:
Mar 21, 1997

Related publications

inJournal
1998 Repository Open Access
Friedemann Schuricht and Bernhard Werner

Paradoxical bending behavior of shearable nonlinearly elastic rods

In: Journal of elasticity, 56 (1998) 1, pp. 27-48