Thermo-elastic analysis of a non-axisymmetrically heated FGPM hollow cylinder under multi-physical fields

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• 作者：A. Ghorbanpour Arani ; M. Abdollahian…
• 关键词：Non ; axisymmetric thermal loading ; Complex variable method ; Volume fraction ; Multi ; physical fields
• 刊名：International Journal of Mechanics and Materials in Design
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：11
• 期：2
• 页码：157-171
• 全文大小：1,856 KB
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• 作者单位：A. Ghorbanpour Arani (1)
  M. Abdollahian (1)
  Z. Khoddami Maraghi (1)
  
  1. Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
  
• 刊物类别：Engineering
• 刊物主题：Mechanical Engineering
  Engineering Design
  Continuum Mechanics and Mechanics of Materials
  Materials Science
  
• 出版者：Springer Netherlands
• ISSN：1573-8841

文摘

This study deals with the two-dimensional steady-state response of a cylindrical shell made from functionally graded piezoelectric materials under multi-physical fields. The hollow cylinder is subjected to mechanical, electrical and non-axisymmetric thermal fields. Material properties vary continuously through the thick direction of the cylinder based on the power-law distribution of the reinforcement volume fraction. Using equations of equilibrium, strain–displacement and stress–strain relations in conjunction with the potential–displacement equation, a set of coupled differential equations is derived which are then numerically solved by the differential quadrature method to obtain the mechanical stresses in cylinder. In order to obtain the thermal stress distributions in the non-axisymmetrically heated cylinder the complex variable method is applied. The effects of external pressure and material in-homogeneity on the stresses, mechanical and electrical displacements and electric potential distributions are discussed in details. It has been found that increasing the external pressure of the cylinder decreases the electric displacement, justifying industrial application of such material as efficient actuators and sensors. Moreover, dimensionless Von Mises thermal stresses decreases with increasing the material in-homogeneity.