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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 |
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Vol. 4 (2009), No. 5, 819–836
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Abstract |
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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
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Milestones
Received: 8 March 2009
Revised: 15 May 2009
Accepted: 17 May 2009
Published: 5 September 2009
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Authors |
| Julian Bravo-Castillero | |
| Facultad de Matemática y
Computación Universidad de La Habana San Lázaro esq. L, Vedado Habana 4 CP 10400 Cuba |
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| Reinaldo Rodríguez-Ramos | |
| Facultad de Matemática y
Computación Universidad de La Habana San Lázaro esq. L, Vedado Habana 4 CP 10400 Cuba |
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| Houari Mechkour | |
| École Centrale d’Electronique Immeuble Pollux 37 Quai de Grenelle- CS 71520 75725 Paris Cedex 15 France |
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| José A. Otero | |
| Instituto de Cibernética, Matemática
y Física 15 No. 551 Habana 4 CP 10400 Cuba |
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| Joanka Hernández Cabanas | |
| Instituto de Cibernética, Matemática
y Física 15 No. 551 Habana 4 CP 10400 Cuba |
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| Lazaro Maykel Sixto | |
| Universidad de Ciencias
Informáticas Departamento de Ciencias Básicas Boyeros CP 19370 Cuba |
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| Raul Guinovart-Díaz | |
| Facultad de Matemática y
Computación Universidad de La Habana San Lázaro esq. L, Vedado Habana 4 CP 10400 Cuba |
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| 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 |
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