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題 名 | On Approximate Solutiong for Two-Dimensional Thermoelastic Problems with a Nearly Circular Hole |
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作 者 | Wang,Chung-hao; Chao,Ching-kong; | 書刊名 | The Chinese Journal of Mechanics |
卷 期 | 19:1 2003.03[民92.03] |
頁 次 | 頁149-160 |
分類號 | 440.13 |
關鍵詞 | Thermoelasticity; Anisotropic; Nearly-circular hole; Elliptical hole; |
語 文 | 英文(English) |
英文摘要 | 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. |
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