Plane Elastic Problem on the Rigid Lines Along a Circular Inclusion

LIU You-wen; FANG Qi-hong

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LIU You-wen, FANG Qi-hong. Plane Elastic Problem on the Rigid Lines Along a Circular Inclusion[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1436-1444.

Citation:

LIU You-wen, FANG Qi-hong. Plane Elastic Problem on the Rigid Lines Along a Circular Inclusion[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1436-1444.

Citation:

LIU You-wen, FANG Qi-hong. Plane Elastic Problem on the Rigid Lines Along a Circular Inclusion[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1436-1444.

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Plane Elastic Problem on the Rigid Lines Along a Circular Inclusion

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

Received Date: 2004-03-03
Rev Recd Date: 2005-08-02
Publish Date: 2005-12-15

Abstract

Abstract

The plane elastic problem of circular-arcrigid line inclusions is considered.The model is subjected to remote general loads and concentrated force which is applied at an arbitrary point inside either the matrix or the circular inclusion.Based on complex variable method,the general solutions of the problem were derived.The closed form expressions of the sectionally holomorphic complex potentials and the stress fields were derived for the case of the interface with a single rigid line.The exact expressions of the singular stress fields at the rigid line tips were calculated which show that they possess a pronounced oscillatory character similar to that for the corresponding crack problem under plane loads.The influence of the rigid line geometry,loading conditions and material mismatch on the stress singularity coefficients is evaluated and discussed for the case of remote uniform load.
- complex variable method,
- circular inclusion,
- interfacial rigid line,
- concentrated force

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References(12)

References

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