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Convergence of equilibria of thin elastic plates – the von Kármán case. (English) Zbl 1141.74034
Summary: We study the behaviour of thin elastic bodies of fixed cross-section and of height $$h$$, with $$h \rightarrow 0$$. We show that critical points of energy functional of nonlinear three-dimensional elasticity converge to critical points of von Kármán functional, provided that their energy per unit height is bounded by $$Ch^{4}$$ (and that the stored energy density function satisfies a technical growth condition). This extends recent convergence results for absolute minimizers.

##### MSC:
 74K20 Plates 74B20 Nonlinear elasticity
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