On approximate solutions for two-dimensional thermoelastic problems with a nearly circular hole

被引：0

作者：

Wang, Chung-Hao ^{[1
]}

Chao, Ching-Kong ^{[2
]}

机构：

[1] Dept. of Aeronautical Engineering, Natl. Huwei Institute of Technology, Huwei, Yunlin 632, Taiwan

[2] Department of Mechanical Engineering, Natl. Taiwan Univ. of Sci./Technol., Taipei 106, Taiwan

来源：

Chinese Journal of Mechanics Series A (English Edition) | 2003年 / 19卷 / 01期

关键词：

Anisotropy - Conformal mapping - Fourier transforms - Perturbation techniques - Problem solving;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：149 / 160