Vol. 6, No. 7-8, 2011

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ISSN: 1559-3959
Dispersion relations for SH waves on a magnetoelectroelastic heterostructure with imperfect interfaces

José A. Otero, Héctor Calas, Reinaldo Rodríguez-Ramos, Julián Bravo-Castillero, Adair R. Aguiar and Guillermo Monsivais

Vol. 6 (2011), No. 7-8, 969–993
Abstract
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The dispersion relations of surface SH waves in an ABA heterostructure with magnetoelectroelastic properties and imperfect (electromagnetically permeable or absorbent, mechanically spring-type) bonding at the interfaces are obtained taking the geometric symmetry of the system into account. Consequently, the results for the symmetric and antisymmetric modes are presented. Different limit cases are considered. Numerical calculations for relevant realizations of the heterostructure are investigated for different values of the material parameter describing the assumed mechanically imperfect bonding. In all the studied cases, the propagation velocities of the SH waves increase for increasing values of this parameter and are limited by the velocities on the homogeneous phases A and B.

Keywords
piezoelectricity, piezomagnetism, magnetoelectroelasticity, dispersion curve, wave propagation, imperfect contact
Milestones
Received: 11 November 2010
Accepted: 22 March 2011
Published: 21 December 2011
Authors
José A. Otero
Instituto de Cibernética, Matemática y Física
Calle 15 No. 551
Habana 4
CP 10400
Cuba
Héctor Calas
Instituto de Acústica
Consejo Superior de Investigaciones Científicas
Serrano 144
28006 Madrid
Spain
Reinaldo Rodríguez-Ramos
Facultad de Matemática y Computación
Universidad de La Habana
San Lázaro esq. L, Vedado
Habana 4
CP 10400
Cuba
Julián Bravo-Castillero
Facultad de Matemática y Computación
Universidad de La Habana
San Lázaro esq. L, Vedado
Habana 4
CP 10400
Cuba
Adair R. Aguiar
Department of Structural Engineering
University of São Paulo
Av. Trabalhador Sãocarlense, 400
13566-590 São Carlos, SP
Brazil
http://www.set.eesc.usp.br/portal/pt/docentes/110-adair-roberto-aguiar
Guillermo Monsivais
Instituto de Física
Universidad Nacional Autónoma de México
Apdo. Postal 20-364
01000 México, D.F.
México