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piezocomposites
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Three-dimensional analysis of piezocomposite plates with arbitrary geometry and boundary conditions
, Article International Journal of Solids and Structures ; Volume 40, Issue 18 , 2003 , Pages 4837-4858 ; 00207683 (ISSN) ; Kamali, M. T ; Sharif University of Technology
Elsevier Ltd
2003
Abstract
In this paper, an accurate series solution in conjunction with an energy formulation for the treatment of piezocomposite plates with arbitrary geometry and aspect ratio, under both electrical and mechanical loadings are proposed. A remedy for dealing with nonhomogeneous boundary conditions is also presented. Through introduction of amending polynomials of order pk for the kth layer, the accuracy and convergence rate are dramatically improved. These polynomials ensure continuity of the generalized displacement fields across the interfaces, while their derivatives can have the required discontinuities up to a desired order. Moreover, depending on the nature of the physical problem under...
Electroelastic Analysis of Piezoelectric Composites Using Electro-Echanical Equivalent Inclusion Method:A Micromechanical Approach
, Ph.D. Dissertation Sharif University of Technology ; Kargarnovin, Mohammad Hassan (Supervisor) ; Mohammadi Shodja, Hossein (Supervisor)
Abstract
It is the main idea of present thesis to provide a micromechanical method as a general treatment for several fundamental problems of the piezoelectric inhomogeneities. For initial demonstration of pertinent methodology, a single piezoelectric inhomogeneity of ellipsoidal geometry, under non-uniform far-field loading is considered. Accordingly, it is taken equivalent to elastic and dielectric inclusion problems connected by proper eigenstrain-electric field. This approach is named the electro-mechanical equivalent inclusion method (EMEIM) and requires that the electroelastic fields of the inhomogeneity to be equal to fields of the equivalent inclusions. Afterwards, the complex problem of...
Piezoelectric composites with periodic multi-coated inhomogeneities
, Article International Journal of Solids and Structures ; Volume 47, Issue 21 , October , 2010 , Pages 2893-2904 ; 00207683 (ISSN) ; Weng, G. J ; Kargarnovin, M. H ; Shodja, H. M ; Sharif University of Technology
Abstract
A new, robust homogenization scheme for determination of the effective properties of a periodic piezoelectric composite with general multi-coated inhomogeneities is developed. In this scheme the coating does not have to be thin, the shape and orientation of the inclusion and coatings do not have to be identical, their centers do not have to coincide, their properties do not have to remain uniform, and the microstructure can be with the 2D elliptic or the 3D ellipsoidal inclusions. The development starts from the local electromechanical equivalent inclusion principle through the introduction of the position-dependent equivalent eigenstrain and electric field. Then with a Fourier series...