Continuation of Infinitesimal Bendings on Developable Surfaces and Equilibrium Equations for Nonlinear Bending Theory of Plates

Continuation of Infinitesimal Bendings on Developable Surfaces and Equilibrium Equations for Nonlinear Bending Theory of Plates

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.

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Veröffentlicht in:Communications in partial differential equations 2013-08, Vol.38 (8), p.1368-1408
1. Verfasser: Hornung, Peter
Format: Artikel
Sprache:eng
Schlagworte:
Bending
Bending theory
Deformation of surfaces
Developable surfaces
Elastic plates
Equilibrium equations
Ingredients
Nonlinear elasticity
Nonlinearity
Partial differential equations
Plates
Studies
Theory
Willmore functional
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Beschreibung
Zusammenfassung: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.
ISSN:0360-5302
1532-4133
DOI:10.1080/03605302.2013.795967