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arXiv · 1905.09114

A homogenization bending shell theory for multiscale materials from $3D$ nonlinear elasticity

Tiziana Durante·Luisa Faella·Pedro Hernández-Llanos·Ravi Prakash
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Abstract

We derive homogenized bending shell theories starting from three dimensional nonlinear elasticity. The original three dimensional model contains three small parameters: the two homogenization scales $\varepsilon$ and $\varepsilon^2$ of the material properties and the thickness $h$ of the shell. Depending on the asymptotic ratio of these three parameters, we obtain different asymptotic theories.

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Tiziana Durante, Luisa Faella, Pedro Hernández-Llanos, Ravi Prakash. 2019-05-22. A homogenization bending shell theory for multiscale materials from $3D$ nonlinear elasticity. https://arxiv.org/abs/1905.09114

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