Abstract
We consider a 3D linearly elastic material whose thickness is a positive Lipschitz continuous function r e (x 1 , x 2 ) ≤ e. We study the asymptotic behaviour, when e tends to 0, of the associated sequence of rescaled energy functionals using Γ-convergence methods. According to the bounds of the function r e , we obtain two possible asymptotic behaviours: a membrane and a flexure one.
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