Shahid Rajaee Teacher Training University (SRTTU) Journal of Computational & Applied Research in Mechanical Engineering (JCARME) 2228-7922 2 2 2013 03 03 Generalized solution of functionally graded hollow cylinder under torsional load 23 32 50 10.22061/jcarme.2013.50 EN Y. Bayat Young Researchers Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran M. Alizadeh Department of Mechanical Engineering, Iran University of Science & Technology, Tehran, Iran A. Bayat Department of Mechanical Engineering Isfahan University of Technology, Isfahan, Iran Journal Article 2012 06 07 In this paper, a general solution for torsion of hollow cylinders made of functionally graded materials (FGM) was investigated. The problem was formulated in terms of Prandtl’s stress and, in general, the shear stress and angle of twist were derived. Variations in the material properties such as Young’s modulus and Poisson’s ratio might be arbitrary functions of the radial coordinate. Various material models from the literature were also used and the corresponding shear stress and angle of twist were individually computed. Moreover, by employing ABAQUS simulations, finite element results were compared with the analytical ones. https://jcarme.sru.ac.ir/article_50_395593cb2e9607c2c10a35359c2a2a78.pdf