ANTIPLANE PROBLEM OF CIRCULAR ARC INTERFACIAL RIGID LINE INCLUSIONS

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (4): 458-466.

ANTIPLANE PROBLEM OF CIRCULAR ARC INTERFACIAL RIGID LINE INCLUSIONS

刘又文, 方棋洪, 王明斌

Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China

收稿日期:2002-02-24 修回日期:2003-11-28 出版日期:2004-04-18 发布日期:2004-04-18
基金资助:
the Natural Science Foundation of Hunan Province(02JJY2014)

ANTIPLANE PROBLEM OF CIRCULAR ARC INTERFACIAL RIGID LINE INCLUSIONS

LIU You-wen, FANG Qi-hong, WANG Ming-bin

Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China

Received:2002-02-24 Revised:2003-11-28 Online:2004-04-18 Published:2004-04-18
Supported by:
the Natural Science Foundation of Hunan Province(02JJY2014)

摘要/Abstract

摘要： The antiplane problem of circular arc rigid line inclusions under antiplane concentrated force and longitudinal shear loading was dealt with. By using Riemann-Schwarz’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.

Abstract: The antiplane problem of circular arc rigid line inclusions under antiplane concentrated force and longitudinal shear loading was dealt with. By using Riemann-Schwarz’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.

中图分类号:

O343.7

刘又文;方棋洪;王明斌. ANTIPLANE PROBLEM OF CIRCULAR ARC INTERFACIAL RIGID LINE INCLUSIONS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(4): 458-466.

LIU You-wen;FANG Qi-hong;WANG Ming-bin. ANTIPLANE PROBLEM OF CIRCULAR ARC INTERFACIAL RIGID LINE INCLUSIONS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(4): 458-466.

参考文献

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ANTIPLANE PROBLEM OF CIRCULAR ARC INTERFACIAL RIGID LINE INCLUSIONS

ANTIPLANE PROBLEM OF CIRCULAR ARC INTERFACIAL RIGID LINE INCLUSIONS

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