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Title: Micromechanical modeling of piezo-magneto-thermo-elastic composite structures: part I - Theory
Authors: Jothi, Sathiskumar 
Georgiades, Tasos 
Hadjiloizi, Demetra 
Keywords: Mathematical analysis;Microelectromechanical systems;Pyroelectricity
Category: Electrical Engineering , Electronic Engineering, Information Engineering
Field: Engineering and Technology
Issue Date: 2013
Publisher: Elsevier
Source: European Journal of Mechanics, A/Solids, 2013, Volume 39, Pages 298–312
Abstract: The comprehensive micromechanical models for the analysis of piezo-magneto-thermo-elastic smart composite structures with orthotropic constituents are developed. The asymptotic homogenization models are derived, the governing equations are determined. Subsequently general relations called unit cell problems are derived. They can be used to determine the effective elastic, piezoelectric, piezomagnetic, thermal expansion, dielectric, magnetic permeability, magnetoelectric, pyroelectric and pyromagnetic coefficients. The latter three sets of coefficients are particularly interesting in the sense that they represent product or cross-properties; they are generated in the macroscopic composite via the interaction of the different phases, but may be absent from some of the constituents themselves. The derived relations pertaining to the unit-cell problems and the resultant effective coefficients are very general and they are valid for any 3D geometry of the unit cell. In Part II of this work the results of the asymptotic homogenization models for practically important smart composite structures are obtained and presented graphically
ISSN: 09977538
Rights: © 2012 Elsevier Masson SAS
Type: Article
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