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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
46/2012

Continuation of infinitesimal bendings on developable surfaces and equilibrium equations for nonlinear bending theory of plates

Peter Hornung

Abstract

We introduce a natural concept of stationarity for the nonlinear bending theory of elastic plates, and we derive the equilibrium equations satisfied by stationary points. A key ingredient is a geometric result about the continuation of infinitesimal bendings on developable surfaces.

Received:
Jul 26, 2012
Published:
Aug 1, 2012

Related publications

inJournal
2013 Repository Open Access
Peter Hornung

Continuation of infinitesimal bendings on developable surfaces and equilibrium equations for nonlinear bending theory of plates

In: Communications in partial differential equations, 38 (2013) 8, pp. 1368-1408