Vol. 4, No. 5, 2009

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ISSN: 1559-3959
Homogenization and effective properties of periodic thermomagnetoelectroelastic composites

Julian Bravo-Castillero, Reinaldo Rodríguez-Ramos, Houari Mechkour, José A. Otero, Joanka Hernández Cabanas, Lazaro Maykel Sixto, Raul Guinovart-Díaz and Federico J. Sabina

Vol. 4 (2009), No. 5, 819–836
Abstract

Using asymptotic homogenization, we derive the local problems and the corresponding homogenized coefficients of periodic thermomagnetoelectroelastic heterogeneous media. The theory is applied to obtain analytical expressions for all effective properties of an important class of periodic multilaminated composites. Universal relations involving homogenized thermal coefficients of two-phase laminated and fibrous piezoelectric/piezomagnetic periodic composites, with transversely isotropic constituents, are obtained. Theoretical evidence is shown for the existence of pyroelectric and pyromagnetic effects even if neither phase exhibits them. Numerical calculations and comparisons with others theories are included.

Keywords
thermomagnetoelectroelastic composites, effective properties, universal relations, laminated, fibrous composites, homogenization, periodic heterogeneous materials
Milestones
Received: 8 March 2009
Revised: 15 May 2009
Accepted: 17 May 2009
Published: 5 September 2009
Authors
Julian Bravo-Castillero
Facultad de Matemática y Computación
Universidad de La Habana
San Lázaro esq. L, Vedado
Habana 4
CP 10400
Cuba
Reinaldo Rodríguez-Ramos
Facultad de Matemática y Computación
Universidad de La Habana
San Lázaro esq. L, Vedado
Habana 4
CP 10400
Cuba
Houari Mechkour
École Centrale d’Electronique
Immeuble Pollux
37 Quai de Grenelle- CS 71520
75725 Paris Cedex 15
France
José A. Otero
Instituto de Cibernética, Matemática y Física
15 No. 551
Habana 4
CP 10400
Cuba
Joanka Hernández Cabanas
Instituto de Cibernética, Matemática y Física
15 No. 551
Habana 4
CP 10400
Cuba
Lazaro Maykel Sixto
Universidad de Ciencias Informáticas
Departamento de Ciencias Básicas
Boyeros
CP 19370
Cuba
Raul Guinovart-Díaz
Facultad de Matemática y Computación
Universidad de La Habana
San Lázaro esq. L, Vedado
Habana 4
CP 10400
Cuba
Federico J. Sabina
Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas
Universidad Nacional Autónoma de México
Delegación Álvaro Obregón
Apartado Postal 20-726
01000 México, D.F.
Mexico