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An Analysis of the Heat Conduction Problem for Plates with the Functionally Graded Material Using the Hybrid Numerical Method
Authors:J.H. Tian  X. Han  S.Y. Long  G.Q. Xie
Affiliation:School of Mechatronic Engineering, Xi’an Technological University, Xi’an, 710032, China, Email:carl8@163.comState Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, ChinaCollege of Mechanics and Aerospace, Hunan University, Changsha, 410082, ChinaCivil Engineering College of Hunan University of Science and technology, Xiangtan, 411201, China
Abstract:A heat conduction analysis of the functionally graded material (FGM) plates has been investigated based on the hybrid numerical method (HNM). HNM combines the layer element method with the method of Fourier transforms and proves to be efficient and reliable. The FGM plates are infinite large and the material properties vary continuously through thickness. The heat source continually acted one the FGM plates. The temperature distribution of the FGM plates is obtained in different time and different position. Some useful results for heat conduction problems are shown in figures. This article applies HNM to heat conduction firstly and provides us a new way for studying the heat conduction problems.
Keywords:Functionally graded material   heat conduction   hybrid numerical method
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