THE PROBLEM OF AN EXTERNAL CIRCULAR CRACK UNDER ASYMMETRIC LOADINGS

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (1): 10-16.

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THE PROBLEM OF AN EXTERNAL CIRCULAR CRACK UNDER ASYMMETRIC LOADINGS

WANG Yin-bang

Department of Mechanics, Lanzhou University, Lanzhou 730000, P.R.China

Received:2000-03-21 Revised:2000-09-23 Online:2001-01-18 Published:2001-01-18
Supported by:
the National Natural Science Foundation of China ((98)19810760157); the West Foundation of Ministry Education of China ([1997]959)

Abstract

Abstract: Using the boundary integral equation method, the problem of an external circular crack in a three-dimensional infinite elastic body under asymmetric loadings is investigated. The two-dimensional singular boundary integral equations of the problem were reduced to a system of Abel integral equations by means of Fourier series and hypergeometric functions. The exact solutions of stress intensity factors are obtained for the problem of an external circular crack under asymmetric loadings, which are even more universal than the results obtained by the use of Hankel transform method. The results demonstrate that the boundary integral equation method has great potential as a new analytic method.

Key words: external circular crack, asymmetric loadings, boundary integral equations, Abel equations, stress intensity factors, exact solutions

2010 MSC Number:

O346.11

WANG Yin-bang . THE PROBLEM OF AN EXTERNAL CIRCULAR CRACK UNDER ASYMMETRIC LOADINGS. Applied Mathematics and Mechanics (English Edition), 2001, 22(1): 10-16.

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References

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THE PROBLEM OF AN EXTERNAL CIRCULAR CRACK UNDER ASYMMETRIC LOADINGS

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