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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
67/2001

The critical role of the base curve for the qualitative behavior of shearable rods

Stuart S. Antman and Friedemann Schuricht

Abstract

This paper treats several aspects of the induced geometrically exact theory of shearable rods, of central importance for contact problems, for which the regularity of solutions depends crucially on the presence of shearability. (An induced theory is one derived from the 3-dimensional theory by the imposition of constraints. Because the role of thickness enters into our theory in an essential way, it is an exact version of what has been called the theory of "moderately thick" rods.) In particular, we study how the theory and constitutive restrictions depend upon the choice of the base curve, and we show how this choice has major qualitative consequences, which are illustrated with several concrete examples.

Received:
Sep 25, 2001
Published:
Sep 25, 2001

Related publications

inJournal
2003 Repository Open Access
Stuart S. Antman and Friedemann Schuricht

The critical role of the base curve for the qualitative behavior of shearable rods

In: Mathematics and mechanics of solids, 8 (2003) 1, pp. 75-102