Holes Effects in Plane Periodic Multilayered Viscoelastic Media

Emmanuel Siryabe, Guy-Edgar Ntamack, Pierre Maréchal

Département de Physique, Groupe de Mécanique et des Matériaux (GMM), Université de Ngaoundéré, Ngaoundéré, Cameroun.
Laboratoire Ondes et Milieux Complexes (LOMC), UMR 6294 CNRS, Université du Havre, Le Havre, France.

DOI: 10.4236/oja.2013.33013                

Abstract

This work deals with the study of the reflection and transmission properties of plane periodic structures composed of N periods (1 ≤ N ≤ 3) in the MHz frequency range. The period consists of two bounded plates presenting a high acoustic impedance contrast one of which is in aluminum, the other is in polyethylene. The longitudinal and transversal attenuations are considered in polyethylene and neglected in aluminum. We take into account the case of emerging holes in the polyethylene layer. Simulations are based on the stiffness matrix method (SMM) developed by Rokhlin. When attenuation is considered in polyethylene, the reflection coefficients are different depending on the insonification side. The comparison of results without or with holes configurations are performed and showed that throughout holes allow the rapid observation of forbidden bands. The attenuation of the whole multilayer is also determined.

Keywords

Periodic Structures; Holes; Porosity; Phononic Crystal; Forbidden Bands; Transmission; Reflection; Attenuation

Conflicts of Interest

The authors declare no conflicts of interest.

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