×

zbMATH — the first resource for mathematics

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
PDF BibTeX XML Cite
Full Text: DOI