Method of lines for temperature field of functionally graded materials

2005 ◽  
Vol 12 (2) ◽  
pp. 230-232
Author(s):  
Yao Dai ◽  
Qi Sun ◽  
Gui-xiang Hao ◽  
Xiu-fa Yan ◽  
Yong-dong Li
Keyword(s):  
Temperature Field ◽  
Functionally Graded Materials ◽  
Method Of Lines ◽  
Functionally Graded ◽  
Graded Materials

Model Development of the Application of Finite Element – Eigenvalue Method to the Determination of Transient Temperature Field in Functionally Graded Materials

2007 ◽  
Vol 18-19 ◽  
pp. 253-261
Author(s):  
John A. Akpobi ◽  
C.O. Edobor
Keyword(s):  
Finite Element ◽  
Temperature Field ◽  
Functionally Graded Materials ◽  
Model Development ◽  
Element Model ◽  
Steady State Solution ◽  
Functionally Graded ◽  
Transient Temperature ◽  
Graded Materials ◽  
Eigenvalue Method

In this paper, a finite elment-eigenvalue method is formulated to solve the finite element models of time dependent temperature field problems in non-homogeneous materials such as functionally graded materials (FGMs). The method formulates an eigenvalue problem from the original finite element model and proceeds to calculate the associated eigenvectors from which the solution can be obtained. The results obtained highly accurate and are exponential functions of time which when compared with the exact solution tended fast to the steady state solution.

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