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Article Dans Une Revue Ricerche di matematica Année : 2022

A 2D model for a highly heterogeneous plate

Résumé

In this paper we investigate the 2d-model for a thin plate ε := ω × εI of R 3 having two components: a circular stiff layer F ε and its complement the soft matrix M ε with 1 ε 2 as a ratio between their respective elasticity coefficients. We prove that the limit model is associated to a nonlocal system involving Kirchoff-Love displacements in the layer and we exhibit a corrector for the displacements in the initial cylindrical structure of R 3 .
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Dates et versions

hal-03662166 , version 1 (09-05-2022)

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Citer

Ahmed Boughammoura, Leila Rahmani, Ali Sili. A 2D model for a highly heterogeneous plate. Ricerche di matematica, In press, ⟨10.1007/s11587-021-00671-4⟩. ⟨hal-03662166⟩
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