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Analysis of Functionally Graded Piezoelectric Cylinders in a Hygrothermal Environment

Published online by Cambridge University Press:  03 June 2015

M. N. M. Allam ,
A. M. Zenkour  and
R. Tantawy
M. N. M. Allam
Affiliation:
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
A. M. Zenkour*
Affiliation:
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt
R. Tantawy
Affiliation:
Department of Mathematics, Faculty of Science, Damietta University, 34517, Egypt
*
*Corresponding author. Email: [email protected]
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Abstract

This paper presents an analytical solution for the interaction of electric potentials, electric displacement, elastic deformations, and describes hygrothermal effect responses in hollow and solid cylinders, subjected to mechanical load and electric potential. Exact solutions for displacement, stresses and electric potentials in functionally graded piezoelectric material are determined using the infinitesimal theory. The material properties coefficients of the present cylinder are assumed to be graded in the radial direction by a power law distribution. Numerical examples display the significant of influence of material inhomogeneity. It is interesting to note that selecting a specific value of inhomogeneity parameter can optimize the piezoelectric hollow and solid cylinders responses, which will be of particular importance in modern engineering designs.

Keywords

74-XXFunctionally gradedpiezoelectric materialhygrothermal effect
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 2 , April 2014 , pp. 233 - 246
Copyright
Copyright © Global-Science Press 2014

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