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arXiv · 2203.07766

Asymptotic analysis for a second order curved thin film

Hamdi Zorgati
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Abstract

We consider a second order thin curved film whose behavior is governed by an energy made up of a first order nonlinear part depending on the gradient of the deformation augmented by a quadratic second order part depending on the tensor of second derivatives of the deformation. We carry out a 3D-2D analysis through an asymptotic expansion in powers of the thickness of the film as it tends to zero.

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Hamdi Zorgati. 2022-03-15. Asymptotic analysis for a second order curved thin film. https://arxiv.org/abs/2203.07766

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