Analyses of the Singularity for the Vertical Contact Problem of Line Crack-Inclusion

SHEN An; TAO Fang-min; TANG Ren-ji

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(6): 561-566

SHEN An, TAO Fang-min, TANG Ren-ji. Analyses of the Singularity for the Vertical Contact Problem of Line Crack-Inclusion[J]. Applied Mathematics and Mechanics, 2001, 22(6): 561-566.

Citation:

SHEN An, TAO Fang-min, TANG Ren-ji. Analyses of the Singularity for the Vertical Contact Problem of Line Crack-Inclusion[J]. Applied Mathematics and Mechanics, 2001, 22(6): 561-566.

Citation:

SHEN An, TAO Fang-min, TANG Ren-ji. Analyses of the Singularity for the Vertical Contact Problem of Line Crack-Inclusion[J]. Applied Mathematics and Mechanics, 2001, 22(6): 561-566.

PDF( 269 KB)

Analyses of the Singularity for the Vertical Contact Problem of Line Crack-Inclusion

Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P R China

Received Date: 1999-12-03
Rev Recd Date: 2000-11-28
Publish Date: 2001-06-15

Abstract

Abstract

Taking the short-fiber composite materials as engineering back-ground,utilizing the existing basic solutions of single inclusion and single crack,the plane problem of vertical contact interactions between line crack and rigid line inclusion in infinite plane(matrix)from the viewpoint of crack fracture mechanics is studied.According to boundary conditions,a set of standard Cauchy-type singular integral equations of the problem is obtainable.Besides,singular indexes,stresses and stress intensity factors around the contact point are expressed.Numerical examples are given to provide references to engineering.
- crack,
- line inclusion,
- the vertical contact point,
- singular stress,
- stress intensity factor

FullText(HTML)

References(6)

References

[1]	Hasebe N, Keer L M, Nemat-Nasser S. Stress analysis kinded cracki nitiatingg from a rigid line inclusion, Part Ⅰ Formulation[J]. Mech Mat,1984,3(2):131-145.
[2]	张明焕. 平面与反平面线夹杂力学的工程理论[D]. 博士论文. 上海:上海交通大学,1994.
[3]	Dundurs J. Elastic interaction of dislocations with inhomogeneitie s[A]. In: T Mura Ed. Mathematical Theory of Dislocations[C]. New York: Asme,1969,70-115.
[4]	Muskhelishvili N I. 奇异积分方程[M]. 朱季呐译. 上海:上海科学技术出版社,1996.
[5]	Erdogan F, Gupta G D. On the numerical solution of singular integral equations[J]. Quart Appl Math,1972,29(4):525-534.
[6]	Erdogan F, Gupta G C, Cook T S. Numerical solution of singular integral equations[A]. In: G C Sih Ed.Fracture of Mechanics,1 [C]. Leyden: Noordhoof,1973,368-425.