Hybrid graded element model for transient heat conduction in functionally graded materials

作     者：Lei-Lei Cao Qing-Hua Qin Ning Zhao 

作者机构：Key Laboratory for Road Construction Technology＆ Equipment of MOEChang＇ an University 710064 Xi＇ an China Research School of EngineeringAustralian National UniversityCanberra ACT 0200 Australia School of MechatronicsNorthwestern Polytechnical University710072 Xi＇an China 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2012年第28卷第1期

页      面：128-139页

核心收录：

学科分类：07[理学] 08[工学] 080501[工学-材料物理与化学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0702[理学-物理学] 

主　　题：Graded element model Functionally graded materials Hybrid FEM Transient heat conduction 

摘      要：This paper presents a hybrid graded element model for the transient heat conduction problem in functionally graded materials （FGMs）. First, a Laplace transform approach is used to handle the time variable. Then, a fundamental solution in Laplace space for FGMs is constructed. Next, a hybrid graded element is formulated based on the obtained fundamental solution and a frame field. As a result, the graded properties of FGMs are naturally reflected by using the fundamental solution to interpolate the intra-element field. Further, Stefest＇s algorithm is employed to convert the results in Laplace space back into the time-space domain. Finally, the performance of the proposed method is assessed by several benchmark examples. The results demonstrate well the efficiency and accuracy of the proposed method.