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 ε and ε2 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.
Bending Shell Theories for Multiscale Materials from 3D Nonlinear Elasticity
Tiziana Durante;
2025
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 ε and ε2 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.File in questo prodotto:
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