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
published in: Communications in partial differential equations, 38 (2013) 8, p. 1368-1408 
DOI number (of the published article): 10.1080/03605302.2013.795967
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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.