Journal of Modern Processes in Manufacturing and Production, Vol. 5, No. 3, Summer 2016 59 Numerical and Analytical Investigation of a Cylinder Made of Functional Graded Materials under Thermo-Mechanical Fields Javad Jafari Fesharaki 1* , Seyed Ghasem Madani 2 , Sa’id Golabi 2 1 Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran 2 Department of Mechanical Engineering, Faculty of Engineering, University of Kashan, Kashan, Iran *Email of Corresponding Author: jjafari.f@gmail.com Received: August 22, 2016; Accepted: December 9, 2016 Abstract This research develops thermo-elastic analysis of a functionally graded cylinder under thermo- mechanical loadings. Heat conduction equation in cylindrical coordinate system is solved. Thermal conductivity coefficient is graded along the radial direction. By considering a symmetric distribution of temperature, loading and boundary conditions, strain-displacement and stress-strain relations can be developed. Material properties such as modulus of elasticity are graded along the radial direction. For validation of the obtained results; a complete numerical analysis using finite element approach is presented. Keywords Thermo-Elastic, Functionally Graded Materials, Cylinder, Stress, Strain 1. Introduction Functionally graded materials (FGM's) have been developed during recent years. In 1891, Japanese material scientist, for the first time during the study, achieved this non-homogeneous material to obtain a material with high thermal resistance [1]. Chen and Lin [2] presented the Elastic analysis of thick cylinders and spherical pressure vessels stress distribution along the radial direction, made of FGM. The results show that non-homogeneity has significant influence on the stress distribution along the radial direction. Thermal stresses in a hollow circular cylinder made of functionally graded materials were given by Liew and et al. [3]. They offered the solution by a limiting process for analyzing homogeneous hollow cylinders without using thermo-elastic non-homogeneous equations. General analysis of one-dimensional uniform thermal stresses in thick-walled hollow cylinders made of FGM was provided by Jabbari et al. [4]. Nonlinear analysis of thermo-elastic hollow rotating disk made of FGM using the first and third-order shear deformation theories was examined by the Nokhandan and Jabbarzadeh [5]. These authors have achieved equilibrium equations using first-order and third-order shear deformation theory with a von Karman assumption and the principle of the least potential energy. Khoshgoftar et al. [6] presented the thermo-elastic analysis of a thick-walled cylinder made of functionally graded piezoelectric materials (FGPM). Thermal analysis of elastic-plastic and optimal design of a composite cylinder made of ceramic and metal FGM also were studied by Hang and colleagues [7]. Nonlinear thermal analysis of a thick- walled cylinder was made of FGM to the condition that temperature-dependent material properties are investigated by Azadi and Sharyat [8]. The authors investigated the effect under different