Transient solution of temperature field in functionally graded hollow cylinder with finite length using multi layered approach |
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Authors: | Yousef Rahmati Nezhad Kamran Asemi Mehdi Akhlaghi |
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Affiliation: | (1) Mechanical Engineering Department, Amirkabir University of Technology, Tehran, 15914, Iran;(2) Mechanical Engineering Department, Amirkabir University of Technology, P.O. Box 15875-4413, Hafez Ave., Tehran, 15914, Iran |
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Abstract: | In this paper by using a multi-layered approach based on the theory of laminated composites, the solution of temperature in
functionally graded circular hollow cylinders subjected to transient thermal boundary conditions are presented. The material
properties are assumed to be temperature-independent and radially dependent. The cylinder has finite length and is subjected
to axisymmetric thermal loads. It is assumed that the functionally graded circular hollow cylinder is composed of N fictitious
layers and the properties of each layer are assumed to be homogeneous and isotropic. Employing Laplace transform techniques
and series solving method for two-dimensional heat conduction equation in the cylinder, solutions for the variation of temperature
with time as well as temperature distribution through the cylinder are obtained. |
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