Problem on Circular-Arc Cracks between Bonded Dissimilar Materials under Concentrated Force and Moment

Liu You-wen; Jiang Chi-ping

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Liu You-wen, Jiang Chi-ping. Problem on Circular-Arc Cracks between Bonded Dissimilar Materials under Concentrated Force and Moment[J]. Applied Mathematics and Mechanics, 1987, 8(3): 267-276.

Citation:

Liu You-wen, Jiang Chi-ping. Problem on Circular-Arc Cracks between Bonded Dissimilar Materials under Concentrated Force and Moment[J]. Applied Mathematics and Mechanics, 1987, 8(3): 267-276.

Citation:

Liu You-wen, Jiang Chi-ping. Problem on Circular-Arc Cracks between Bonded Dissimilar Materials under Concentrated Force and Moment[J]. Applied Mathematics and Mechanics, 1987, 8(3): 267-276.

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Problem on Circular-Arc Cracks between Bonded Dissimilar Materials under Concentrated Force and Moment

Liu You-wen¹,
Jiang Chi-ping²

1.
Mathematics and Physics Department, Central-South University of Technology, Changsha;
2.
Hunan University, Changsha

Received Date: 1985-11-03
Publish Date: 1987-03-15

Abstract

Abstract

The method is very efficient by applying extended Schwarz principle integrated with the analysis of the singularity of complex stress functions to solve some plane-elastic problems under concentrated loads, in Ref.[1], this method is used to deal with the elastic problems of homogeneous plane. In this paper, it is extended to the case of dissimilar materials with co-circular cracks under concentrated force and moment. For several typical cases the solutions of complex stress function in closed form are built up and the stress intensity factors are given. From these solutions, we provide a series of particular results, in which two of them coincide with those in Refs. [1] and [6].

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References(9)

References

[1]	樊大钧,《数学弹性力学》,新时代出版社(1983), 373
[2]	Мусхелищвили Н.И.,《数学弹性力学的几个基本问题》,科学出版社(1965).
[3]	Cook, T.S.and F.Erdogan, Stresses in bonded materials with a crack perpendicular to the interface, Int.J Eng.Sci., 10 (1972), 677-697.
[4]	Erdogan, F.and O.Aksogan, Bonded half planes containing an arbitrary oriented crack, Int.J.Solids Structures, 10 (1974), 569-585.
[5]	路见可,有一条裂纹的圆形焊接问题,应用数学和力学,4, 5 (1983),679
[6]	Locber, J.F.and G.C.Sih, Green's functions for cracks in nonhomogeneous materials, J.Appl.Mech., 34 (1967), 240-243.
[7]	Sih, G.C., Handbook of Stress Intensity Factors for Reserchers and Engineers (1974).
[8]	Sih, G.C.and E.P.Chen, Cracks in Composite Materials Martinus Nijoff, The Hague/Boston/London (1981), 172.
[9]	Sih, G.C., et al., Crack-tip stress-intensity factors for plane extension and plate bending problems, J.Appl.Mech., 29, (1962), 306．