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On Approximate Solutions for Two-Dimensional Thermoelastic Problems with a Nearly Circular Hole

Published online by Cambridge University Press:  05 May 2011

Chung-Hao Wang  and
Ching-Kong Chao
Chung-Hao Wang*
Affiliation:
Department of Aeronautical Engineering, National Huwei Institute of Technology, Huwei, Yunlin, Taiwan 632, R.O.C.
Ching-Kong Chao*
Affiliation:
Department of Mechanical Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan 106, R.O.C.
*
*Associate Professor
**Professor
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Abstract

The general approximate solutions for the two-dimensional thermoelastic problems with a nearly circular hole are provided in this study. Based on Stroh formalism and the method of conformal mapping, the boundary perturbation analysis is applied to solve the problems of a hole with arbitrary shape. The radius of the hole considered here is represented as a sum of a reference constant and a perturbation magnitude that is expanded into a Fourier series. In order to illustrate the applicability and efficiency of the present approach, special examples associated with polygonal hole problems are solved explicitly and discussed in detail. Since the general solutions have not been found in the literature, comparison is made with some special cases for which the analytical solutions exist, which shows that our proposed method is effective and general.

Keywords

ThermoelasticityAnisotropicNearly-circular holeelliptical hole
Type
Articles
Information
Journal of Mechanics , Volume 19 , Issue 1 , March 2003 , pp. 149 - 160
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2003

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References

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