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Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads
Affiliation:1. Science and Research Campus, Islamic Azad University, Tehran, Iran;2. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran;3. Department of Mechanical Engineering, Amirkabir University of Technology, P.O. Box 15875-4413, 424 Hafez Avenue, 15914 Tehran, Iran;1. Faculty of Engineering, University of Zanjan, P.O. Box 45195-313, Zanjan, Iran;2. Department of Mechanical Engineering, Yazd University, Yazd, Iran;1. Mechanical Engineering Department, Islamic Azad University, South Tehran Branch, Tehran, Iran;2. Faculty of Engineering, Shahrekord University, Shahrekord, Iran;3. Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran;1. Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA 02115, USA;2. Mechanical and Industrial Engineering Department, Qatar University, Doha, Qatar;1. Department of Solid Mechanic, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran;2. Chair of Computational Mechanics, Bauhaus University Weimar, Marienstrasse 15, 99423 Weimar, Germany
Abstract:In this paper, a general analysis of one-dimensional steady-state thermal stresses in a hollow thick cylinder made of functionally graded material is developed. The temperature distribution is assumed to be a function of radius, with general thermal and mechanical boundary conditions along the inside and outside surfaces. The material properties, except Poisson's ratio, are assumed to depend on variable the r and they are expressed as power functions of r. The direct method is used to solve the heat conduction and Navier equations.
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