Thermal Analysis of Thin Plates Using the Finite Element Method

The isotropic thermal plate is analyzed with finite element method. The solution procedure is presented. The elementary stiffness matrix and loading vector are derived rigorously with variation principle and the principle of minimum potential energy. Numerical results are obtained based on the deriv...

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Bibliographic Details
Published in:Proceedings of the 2nd International Symposium on Computational Mechanics and the 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science 2009-12, Vol.1233, p.266-271
Main Authors: Er, G K, Iu, V P, Liu, X L
Format: Article
Language:English
Subjects:
Corners
Exact solutions
Finite element method
Mathematical analysis
Mathematical models
Potential energy
Stiffness matrix
Thermal analysis
Thermal plates
Thin plates
Vectors (mathematics)
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Summary:The isotropic thermal plate is analyzed with finite element method. The solution procedure is presented. The elementary stiffness matrix and loading vector are derived rigorously with variation principle and the principle of minimum potential energy. Numerical results are obtained based on the derived equations and tested with available exact solutions. The problems in the finite element analysis are figured out. It is found that the finite element solutions can not converge as the number of elements increases around the corners of the plate. The derived equations presented in this paper are fundamental for our further study on more complicated thermal plate analysis.
ISSN:0094-243X