Antiplane Problem of Circular Arc Interfacial Rigid Line Inclusions

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

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LIU You-wen, FANG Qi-hong, WANG Ming-bin. Antiplane Problem of Circular Arc Interfacial Rigid Line Inclusions[J]. Applied Mathematics and Mechanics, 2004, 25(4): 417-424.

Citation:

LIU You-wen, FANG Qi-hong, WANG Ming-bin. Antiplane Problem of Circular Arc Interfacial Rigid Line Inclusions[J]. Applied Mathematics and Mechanics, 2004, 25(4): 417-424.

Citation:

LIU You-wen, FANG Qi-hong, WANG Ming-bin. Antiplane Problem of Circular Arc Interfacial Rigid Line Inclusions[J]. Applied Mathematics and Mechanics, 2004, 25(4): 417-424.

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Antiplane Problem of Circular Arc Interfacial Rigid Line Inclusions

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

Received Date: 2002-02-24
Rev Recd Date: 2003-11-28
Publish Date: 2004-04-15

Abstract

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.
- rigid line inclusion,
- circular arc interface,
- antiplane problem,
- complex variable method

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References(16)

References

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