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Convergence of equilibria for incompressible elastic plates in the von Kármán regime
Communications on Pure and Applied Analysis
We prove convergence of critical points to the nonlinear elastic energies J h of 3d thin incompressible plates, to critical points of the 2d energy obtained as the Γ-limit of J h in the von Kármán scaling regime. The presence of incompressibility constraint requires to restrict the class of admissible test functions to bounded divergence-free variations on the 3d deformations. This poses new technical obstacles, which we resolve by means of introducing 3d extensions and truncations of the 2ddoi:10.3934/cpaa.2015.14.143 fatcat:wd6qgydw5zhfra5zxxevb23awi