A localized collocation scheme with fundamental solutions for long-time anomalous heat conduction analysis in functionally graded materials

2021 ◽  
Vol 180 ◽  
pp. 121778
Author(s):  
Qiang Xi ◽  
Zhuojia Fu ◽  
Timon Rabczuk ◽  
Deshun Yin
Keyword(s):  
Heat Conduction ◽  
Functionally Graded Materials ◽  
Fundamental Solutions ◽  
Functionally Graded ◽  
Graded Materials ◽  
Long Time ◽  
Collocation Scheme ◽  
Anomalous Heat

Transient Heat Conduction in Functionally Graded Materials by LT-MFS

2011 ◽  
Vol 189-193 ◽  
pp. 1664-1669 ◽  
Author(s):  
Ning Zhao ◽  
Lei Lei Cao ◽  
Hui Guo
Keyword(s):  
Heat Conduction ◽  
Functionally Graded Materials ◽  
Heat Conduction Problem ◽  
Transient Heat Conduction ◽  
Fundamental Solutions ◽  
Functionally Graded ◽  
Time Variable ◽  
Graded Materials ◽  
Time Space ◽  
Transient Heat Conduction Problem

: 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.

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