Paper Title:
Transient Heat Conduction in Functionally Graded Materials by LT-MFS
  Abstract

: The LT-MFS approach is proposed to solve two-dimensional transient heat conduction problem in functionally graded materials (FGMs). First, a Laplace transform approach is used to move the time variable. Then, a fundamental solution in Laplace space for FGMs is constructed. Next, the solution in Laplace space is approximated by the linear combination of fundamental solutions. Further, Stefest’s algorithm is employed to convert the results in Laplace space back into the time–space domain. Finally, the method is tested on several benchmark examples. The results demonstrate well the efficiency and accuracy of the proposed method.

  Info
Periodical
Advanced Materials Research (Volumes 189-193)
Edited by
Zhengyi Jiang, Shanqing Li, Jianmin Zeng, Xiaoping Liao and Daoguo Yang
Pages
1664-1669
DOI
10.4028/www.scientific.net/AMR.189-193.1664
Citation
N. Zhao, L. L. Cao, H. Guo, "Transient Heat Conduction in Functionally Graded Materials by LT-MFS", Advanced Materials Research, Vols. 189-193, pp. 1664-1669, 2011
Online since
February 2011
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Price
$32.00
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