Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14279/14039
Title: Dynamic Modeling and Determination of Effective Properties of Smart Composite Plates with Rapidly Varying Thickness
Authors: Hadjiloizi, Demetra 
Georgiades, Tasos 
Kalamkarov, A. L. 
metadata.dc.contributor.other: Χατζηλοϊζή, Δήμητρα
Γεωργιάδης, Τάσος
Major Field of Science: Engineering and Technology
Field Category: Mechanical Engineering
Keywords: Asymptotic homogenization;Effective properties;Piezo-magneto-thermo-elastic thin smart composite plate
Issue Date: Jul-2012
Source: International Journal of Engineering Science, 2012, vol. 56, pp. 63-85
Volume: 56
Start page: 63
End page: 85
Journal: International Journal of Engineering Science 
Abstract: A new comprehensive micromechanical model for the analysis of the dynamic problem of a smart composite piezo-magneto-thermo-elastic thin plate with rapidly-varying thickness is developed in the present paper. A rigorous three-dimensional formulation is used as the basis of multiscale asymptotic homogenization. A complete dynamic approach is adhered to beginning with the equations of dynamic equilibrium, the time-varying form of Maxwell's equations and dynamic thermal balance. The asymptotic homogenization model is derived, the governing equations are determined and subsequently general expressions called unit cell problems that can be used to determine the effective elastic, piezoelectric, piezomagnetic, electrical conductivity etc. properties are presented. Of particular interest in this work is the development of general expressions pertaining to the so-called product properties which are manifested in the macroscopic composite plate via the interaction of the different phases but may be absent from some individual constituents of the composite. Examples of product properties are the magnetoelectric, pyroelectric and pyromagnetic coefficients. The derived expressions pertaining to the unit-cell problems and the resultant effective coefficients are very general and are valid for any geometry of the unit cell. In addition to the effective properties, the developed model also computes the local mechanical displacement and stress, electric displacement, magnetic field, heat flux and free current density. The work is illustrated by means of a 3-layer anisotropic plate consisting of an elastic middle layer sandwiched between thin piezoelectric and piezomagnetic carrier layers
ISSN: 00207225
DOI: 10.1016/j.ijengsci.2012.02.007
Rights: Copyright © 2012 Elsevier Ltd.
Type: Article
Affiliation : Cyprus University of Technology 
Dalhousie University 
Publication Type: Peer Reviewed
Appears in Collections:Άρθρα/Articles

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