A long crack penetrating a circular inhomogeneity

Meccanica

Volumn 38, Issue 5, 2003, Pages 579-593

  Wang, Yuping ^a   Ballarini, Roberto ^a  

^a Case Western Reserve University   (United States)

Author keywords

Crack; Inhomogeneity; Stress intensity factor; Transformation

Indexed keywords

APPROXIMATION THEORY; CRACK INITIATION; GRAIN BOUNDARIES; MATHEMATICAL TRANSFORMATIONS; POISSON RATIO;

CIRCULAR INHOMOGENEITY;

ELASTICITY;

EID: 0041734654     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1024785726456     Document Type: Article

References (13)

1. Abdel-Tawab, K. and Rodin, G., 'On the relevance of linear elastic fracture mechanics to ice', Int. J. Fracture 62 (1993) 171-181.
2. Ballarini, R., Mullen, R.L. and Heuer, A.H., 'The effects of heterogeneity and anisotropy on the size effect in cracked polycrystalline films', Int. J. Fracture 95 (1999) 19-39.
3. Dundurs, J., 'Elastic interaction of dislocations with inhomogeneities', in: T. Mura (ed.), Mathematical Theory of Dislocations, ASME, 1969, pp. 368-425.
4. Erdogan, F. and Biricikoglu, V., 'Two bonded half planes with a crack going through the interface', Int. J. Eng. Sci. 11 (1973) 745-766.
5. Erdogan, F. and Gupta, G.D., 'The inclusion problem with a crack crossing the boundary', Int. J. Fracture 11(1) (1975) 13-27.
6. Erdogan, F., Gupta, G.D. and Cook, T.S., 'Numerical solution of singular integral equations', in: G.C. Sih (ed.), Mechanics of Fracture, Vol. 1, Chapter 7, Noordhoff, 1973, pp. 368-425.
7. Miller, G.R. and Young, R.P., 'On singular solutions for inclusion problems in plane elasticity', J. Appl. Mech. ASME 54 (1987) 738-740 (Brief Note).
8. Muskhelishvili, N.I., Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, Holland, 1953a.
9. Muskhelishvili, N.I., Singular Integral Equations, Noordhoff, Holland, 1953b.
10. Romeo, A. and Ballarini, R., 'A crack very close to a bimaterial interface', J. Appl. Mech. 62 (1995) 614-619.
11. Steif, P.S., 'A semi-infinite crack partially penetrating a circular inclusion', J. Appl. Mech. 54 (1987) 87-92.
12. Wang, Y. and Ballarini, R., 'The effects of grain boundary stiffness on the stress intensity factors of a crack in a polycrystalline film' (submitted for publication) (2002).
13. Williams, M.L., 'On the stress distribution at the base of a stationary crack', J. Appl. Mech. 24 (1957) 109-114.