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arXiv · 2305.08355

Asymptotic analysis of thin structures with point dependent energy growth

Michela Eleuteri·Francesca Prinari·Elvira Zappale
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Abstract

$3d-2d$ dimensional reduction for hyperelastic thin films modeled through energies with point dependent growth, assuming that the sample is clamped on the lateral boundary, is performed in the framework of $\Gamma$-convergence. Integral representation results, with a more regular lagrangian related to the original energy density, are provided for the lower dimensional limiting energy, in different contexts.

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Michela Eleuteri, Francesca Prinari, Elvira Zappale. 2023-05-15. Asymptotic analysis of thin structures with point dependent energy growth. https://arxiv.org/abs/2305.08355

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