15. Hygrothermal analysis of heterogeneous piezoelectric elastic cylinders
Ashraf M. Zenkour
Department of Mathematics,
Faculty of Science, King Abdulaziz University,
Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt
(Received 2 August 2015; received in revised form 14 January 2016; accepted 20 January 2016)
Abstract. The analytical solutions of hygrothermal effects in heterogeneous piezoelectric solid and hollow cylinders are obtained. The interaction of electric displacement, electric potentials, and elastic deformations is discussed. The present cylinder is subjected to a mechanical load at its lateral surfaces as well as an electric potential. The displacement, stresses and electric potentials in the heterogeneous piezoelectric cylinders are determined. The material properties coefficients of the present cylinder are assumed to be changed in the radial direction. The hygrothermoelastic responses of piezoelectric heterogeneous hollow and solid circular cylinders are presented. Numerical application examples for both cylinders are displayed. The significant of influence of material inhomogeneity, initial temperature, final moisture, and the pressure load and electric potential ratios are investigated. Suitable discussions and conclusions are presented.
Keywords: heterogeneous, piezoelectric material, hygrothermal effect, hollow and solid cylinders.
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Cite this article
Zenkour Ashraf M. Hygrothermal analysis of heterogeneous piezoelectric elastic cylinders. Mathematical Models in Engineering, Vol. 2, Issue 1, 2016, p. 1‑17.
Mathematical Models in Engineering. June 2016, Volume 2, Issue 1
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