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

Peter Hornung

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Submission date: 26. Jul. 2012
Pages: 41
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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.