Stress intensity factors and kink angle of a crack interacting with a circular inclusion under remote mechanical and thermal loadings

2003 ◽  
Vol 17 (8) ◽  
pp. 1120-1132
Author(s):  
Saebom Lee ◽  
Seung Tae Choi ◽  
Yoiin Young Earmme ◽  
Dae Youl Chung
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Circular Inclusion ◽  
Intensity Factors ◽  
Kink Angle

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.

Energy-Release Rate and Crack Kinking Under Combined Loading

1981 ◽  
Vol 48 (3) ◽  
pp. 520-524 ◽  
Author(s):  
K. Hayashi ◽  
S. Nemat-Nasser
Keyword(s):  
Stress Intensity ◽  
Quadratic Form ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Stress Intensity Factors ◽  
Continuous Distribution ◽  
Combined Loading ◽  
Intensity Factors ◽  
Kink Angle

Based on the maximum energy-release-rate criterion, kinking from a straight crack is investigated under the plane strain condition. Solutions are obtained by the method that models a kink as a continuous distribution of edge dislocations. The energy-release rate is expressed as a quadratic form of the stress-intensity factors that exist prior to the onset of kinking, and the coefficients of this quadratic form are tabulated for various values of the kink angle. The examination of the results shows that Irwin’s formula for the energy-release rate remains valid for any kink angle provided that the stress-intensity factors in the formula are taken equal to those existing at the tip of a vanishingly small kink.

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

DETERMINATION OF RESIDUAL STRESSES AND STRESS INTENSITY FACTORS BY REMOVING LOCAL MATERIAL

2017 ◽  
Vol 48 (4) ◽  
pp. 377-398
Author(s):  
Svyatoslav Igorevich Eleonskii ◽  
Igor Nikolaevich Odintsev ◽  
Vladimir Sergeevich Pisarev ◽  
Stanislav Mikhailovich Usov
Keyword(s):  
Stress Intensity ◽  
Residual Stresses ◽  
Stress Intensity Factors ◽  
Intensity Factors ◽  
Local Material
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