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

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Abstract:

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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Periodical:

Advanced Materials Research (Volumes 18-19)

Pages:

253-261

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.18-19.253

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Online since:

June 2007

Authors:

John A. Akpobi, C.O. Edobor

Keywords:

Finite Element-Eigenvalue Method, Functionally Graded Material (FGM), Steady State Solution

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© 2007 Trans Tech Publications Ltd. All Rights Reserved

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References

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