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arXiv · 1211.3942

Convergence of Equilibria for Incompressible Elastic Plates in the von Kármán Regime

Marta Lewicka·Hui Li
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Abstract

We prove convergence of critical points $u^h$ of the nonlinear elastic energies $E^h$ of thin incompressible plates $Ω^h=Ω\times (-h/2, h/2)$, which satisfy the von Kármán scaling: $E^h(u^h)\leq Ch^4$, to critical points of the appropriate limiting (incompressible von Kármán) functional.

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Marta Lewicka, Hui Li. 2012-11-16. Convergence of Equilibria for Incompressible Elastic Plates in the von Kármán Regime. https://arxiv.org/abs/1211.3942

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