Asymptotic modeling of thin plastic oscillating layer

Ait Moussa Abdlaziz; Mohamed Verid Abdelkader

doi:10.5269/bspm.v32i2.18812

Asymptotic modeling of thin plastic oscillating layer

Ait Moussa Abdlaziz University of Mohammed 1st Department of Mathematics
Mohamed Verid Abdelkader University of Mohammed 1st Department of Mathematics

DOI: https://doi.org/10.5269/bspm.v32i2.18812

Keywords: Limit behavior, plasticity problem, thin oscillating layer, epi-convergence method, subadditive theorem

Abstract

In this paper we study the asymptotic behavior of solutions to a elasticity problem, of a containing structure a plastic thin oscillating layer of thickness and rigidity depending of small parameters $\varepsilon$. We use the epi-convergence method to find the limit problems with interface conditions.