engleski

Periodically wrinkled plate model of the F\"oppl-von K\'arm\'an type

In this paper we derive, by means of $\Gamma$-convergence, the periodically wrinkled plate model starting from three dimensional nonlinear elasticity. We assume that the thickness of the plate is $h^2$ and that the mid-surface of the plate is given by $(x_1, x_2) \to (x_1, x_2, h^2\theta(\per))$, where $\theta$ is $[0, 1]^2$ periodic function. We also assume that the strain energy of the plate has the order $h^8=(h^2)^4$, which corresponds to the F\"oppl-von K\'arm\'an model in the case of the ordinary plate. The obtained model mixes the bending part of the energy with the stretching part.

wrinkled plate; Gamma convergence; F\

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