A new method for calculating the stress intensity factors of a crack with a circular inclusion

1995 ◽  
Vol 108 (1-4) ◽  
pp. 77-85 ◽  
Author(s):  
R. Wang
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Circular Inclusion ◽  
New Method ◽  
Intensity Factors

Benchmark Results for the Problem of Interaction Between a Crack and a Circular Inclusion

2003 ◽  
Vol 70 (4) ◽  
pp. 619-621 ◽  
Author(s):  
J. Wang, ◽  
S. G. Mogilevskaya, and ◽  
S. L. Crouch
Keyword(s):  
Stress Intensity ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Stress Intensity Factors ◽  
Integral Method ◽  
Circular Inclusion ◽  
Complex Variables ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Intensity Factors

This paper is a reply to the challenge by Helsing and Jonsson (2002, ASME J. Appl. Mech., 69, pp. 88–90) for other investigators to confirm or disprove their new numerical results for the stress intensity factors for a crack in the neighborhood of a circular inclusion. We examined the same problem as Helsing and Jonsson using two different approaches—a Galerkin boundary integral method (Wang et al., 2001, in Rock Mechanics in the National Interest, pp. 1453–1460) (Mogilevskaya and Crouch, 2001, Int. J. Numer. Meth. Eng., 52, pp. 1069–1106) and a complex variables boundary element method (Mogilevskaya, 1996, Comput. Mech., 18, pp. 127–138). Our results agree with Helsing and Jonsson’s in all cases considered.

scholarly journals Interaction Between a Circular Inclusion and an Arbitrarily Oriented Crack

1974 ◽  
Vol 41 (4) ◽  
pp. 1007-1013 ◽  
Author(s):  
F. Erdogan ◽  
G. D. Gupta ◽  
M. Ratwani
Keyword(s):  
Stress Intensity ◽  
Integral Equations ◽  
Stress Intensity Factors ◽  
Elastic Inclusion ◽  
Singular Integral Equations ◽  
Circular Inclusion ◽  
Intensity Factors ◽  
The Matrix ◽  
Plane Interaction ◽  
Arbitrarily Oriented Crack

The plane interaction problem for a circular elastic inclusion embedded into an elastic matrix which contains an arbitrarily oriented crack is considered. Using the existing solutions for the edge dislocations [6] as Green’s functions, first the general problem of a through crack in the form of an arbitrary smooth arc located in the matrix in the vicinity of the inclusion is formulated. The integral equations for the line crack are then obtained as a system of singular integral equations with simple Cauchy kernels. The singular behavior of the stresses around the crack tips is examined and the expressions for the stress-intensity factors representing the strength of the stress singularities are obtained in terms of the asymtotic values of the density functions of the integral equations. The problem is solved for various typical crack orientations and the corresponding stress-intensity factors are given.

scholarly journals Stress intensity factors of interface cracks arround a circular inclusion.

1986 ◽  
Vol 52 (479) ◽  
pp. 1655-1662 ◽  
Author(s):  
Hiroshi NAKANISHI ◽  
Syogo UMAKAWA ◽  
Tomoyasu AKASAKI ◽  
Megumu SUZUKI
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Circular Inclusion ◽  
Intensity Factors ◽  
Interface Cracks
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