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Smart Structures and Systems
  Volume 14, Number 2, August 2014 , pages 225-246
DOI: https://doi.org/10.12989/sss.2014.14.2.225
 


Comprehensive piezo-thermo-elastic analysis of a thick hollow spherical shell
M. Arefi and M.J. Khoshgoftar

 
Abstract
    The present paper develops piezo-thermo-elastic analysis of a thick spherical shell for generalized functionally graded piezoelectric material. The assumed structure is loaded under thermal, electrical and mechanical loads. The mechanical, thermal and electrical properties are graded along the radial direction based on a power function with three different non homogenous indexes. Primarily, the non homogenous heat transfer equation is solved by applying the general boundary conditions, individually. Substitution of stress, strain, electrical displacement and material properties in equilibrium and Maxwell equations present two non homogenous differential equation of order two. The main objective of the present study is to improve the relations between mechanical and electrical loads in hollow spherical shells especially for functionally graded piezoelectric materials. The obtained results can evaluate the effect of every non homogenous parameter on the mechanical and electrical components.
 
Key Words
    piezoelectric; thick hollow spherical shell; functionally graded piezoelectric material; non homogenous
 
Address
M. Arefi: Department of Solid Mechanics, Faculty of Mechanical engineering, University of Kashan,
Kashan 87317-51167, Iran
M.J. Khoshgoftar: Mechanical Engineering, Tarbiat Modares University, Jalal Ale Ahmad Highway, P.O. Box, 14115-111,
Tehran, Iran
 

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