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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