Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (7): 939-954.doi: https://doi.org/10.1007/s10483-015-1959-9

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Thermo-electromechanical behavior of functionally graded piezoelectric hollow cylinder under non-axisymmetric loads

A. ATRIAN1, J. JAFARI FESHARAKI1, S. H. NOURBAKHSH2   

  1. 1. Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Isfahan 85141-43131, Iran;
    2. Faculty of Engineering, Shahrekord University, Shahrekord 88179-53884, Iran
  • Received:2014-07-24 Revised:2014-11-26 Online:2015-07-01 Published:2015-07-01
  • Contact: A. ATRIAN E-mail:amiratrian@gmail.com

Abstract: This paper presents an analytical solution of a thick walled cylinder com- posed of a functionally graded piezoelectric material (FGPM) and subjected to a uniform electric field and non-axisymmetric thermo-mechanical loads. All material properties, except Poisson's ratio that is assumed to be constant, obey the same power law. An exact solution for the resulting Navier equations is developed by the separation of variables and complex Fourier series. Stress and strain distributions and a displacement field through the cylinder are obtained by this technique. To examine the analytical approach, different examples are solved by this method, and the results are discussed.

Key words: Fourier series, functionally graded piezoelectric material (FGPM), thermoelasticity, non-axisymmetric

2010 MSC Number: 

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