Published Paper

Inserted: 16 jun 2026

Journal: Journal of Elasticity
Volume: 157
Number: 62
Pages: 32
Year: 2025
Doi: https://doi.org/10.1007/s10659-025-10154-4
Links: Springer Link

Abstract:

This article derives 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. We obtain different limiting behaviors depending on the limit of various ratios of these three parameters.

Keywords: Homogenization, dimension reduction, nonlinear elasticity, multiscale convergence, Bending shell theory