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research-article

Functionally graded hollow sphere with piezoelectric internal and external layers under asymmetric transient thermo-mechanical loads

[+] Author and Article Information
Mohsen Jabbari

Mechanical Engineering Department, South Tehran Branch, Islamic Azad University, Iran
projectsjabbari@gmail.com

Seyedeh Matin Mousavi

Mechanical Engineering Department, South Tehran Branch, Islamic Azad University, Iran
mousavi.matin37@yahoo.com

Mohammad Amin Kiani

Mechanical Engineering Department, South Tehran Branch, Islamic Azad University, Iran
mohammad.amin_kiani@yahoo.com

1Corresponding author.

ASME doi:10.1115/1.4037444 History: Received July 02, 2016; Revised June 21, 2017

Abstract

In this paper, an analytical method is developed to obtain the solution for the two-dimensional (? ,?( transient thermal and mechanical stresses in a hollow sphere made of functionally graded material and piezoelectric layers. The functionally graded material properties vary continuously across the thickness, according to the power functions of radial direction. The temperature distribution as function of radial and circumferential directions and time, is obtained solving the energy equation, using the method of separation of variables and Legendre series. The Navier equations are solved analytically using the Legendre polynomials and the system of Euler differential equations.

Copyright (c) 2017 by ASME
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