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

doi:10.1007/s10483-015-1959-9

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

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

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

1. Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Isfahan 85141-43131, Iran;
2. Faculty of Engineering, Shahrekord University, Shahrekord 88179-53884, Iran

收稿日期:2014-07-24 修回日期:2014-11-26 出版日期:2015-07-01 发布日期:2015-07-01
通讯作者: A. ATRIAN E-mail:amiratrian@gmail.com

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

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

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

摘要/Abstract

摘要： 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.

关键词: functionally graded piezoelectric material (FGPM), Fourier series, thermoelasticity, non-axisymmetric

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

中图分类号:

O343.8
O345

A. ATRIAN, J. JAFARI FESHARAKI, S. H. NOURBAKHSH. Thermo-electromechanical behavior of functionally graded piezoelectric hollow cylinder under non-axisymmetric loads[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(7): 939-954.

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

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

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