Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 520
Homogenization of subwavelength stratified viscoelastic media including finite size effect
Belemou Rachid, Amine Sbitti
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 13, 2022
March 03, 2423
April 15, 2423

Abstract: We propose a homogenization method based on a matched asymptotic expansion technique to obtain the effective behavior of a two-dimensional linear viscoelastic periodically stratified slab which accounts for the finite size of the slab. The problem is considered for shear waves and the wave equation in the harmonic regime is considered. The obtained effective behavior is that of a homogeneous anisotropic slab associated with jump conditions, for the displacement and the normal stress at the boundaries of the slab. These jump conditions are implemented in a numerical scheme in the case of ...