ANTIPLANE PROBLEM OF CIRCULAR ARC INTERFACIAL RIGID LINE INCLUSIONS

• Published in: Applied mathematics and mechanics Vol. 25; no. 4; pp. 458 - 466
• Main Author: 刘又文 方棋洪 王明斌
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Nature B.V 01.04.2004; Department of Engineering Mechanics, Hunan University, Changsha 410082, P.R.China
• Edition: English ed.
• Subjects: Inclusions; Singular stress fields; Singularities; Stress distribution; 合成材料; 固体力学; 圆弧性界面; 复合变量理论; 特异性分析; complex variable method; circular arc interface; antiplane problem; rigid line inclusion
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/BF02437530

The antiplane problem of circular arc rigid line inclusions under antiplane concentrated force and longitudinal shear loading was dealt with. By using RiemannSchwaz's symmetry principle integrated with the singularity analysis of complex functions, the general solution of the problem and the closed form solutions for some important practical problems were presented. The stress distribution in the immediate vicinity of circular arc rigid line end was examined in detail. The results show that the singular stress fields near the rigid inclusion tip possess a square-root singularity similar to that for the corresponding crack problem under antiplane shear loading, but no oscillatory character. Furthermore, the stresses are found to depend on geometrical dimension, loading conditions and materials parameters. Some practical results concluded are in agreement with the previous solutions.