Split singularities and the competition between crack penetration and debond at a bimaterial interface

International Journal of Solids and Structures

Volumn 44, Issue 13, 2007, Pages 4559-4573

  Zhang, Zhen ^a   Suo, Zhigang ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

Crack; Fracture; Interface; Local mode mixity; Split singularities

Indexed keywords

FAILURE ANALYSIS; INTERFACES (COMPUTER); PARAMETER ESTIMATION; SURFACE TENSION;

BIMATERIAL INTERFACE; CRACK IMPINGING; LINEAR SUPERPOSITION; LOCAL MODE MIXITY; SPLIT SINGULARITY;

CRACK PROPAGATION;

EID: 33947668356     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.11.035     Document Type: Article

References (40)

1. Akisanya A.R., and Fleck N.A. Interfacial cracking from the free-edge of a long bi-material strip. Int. J. Solids Struct. 34 (1997) 1645-1665
2. Ashaugh N.E. Stress solution for a crack at an arbitrary angle to an interface. Int. J. Fract. 11 (1975) 205-219
3. Bogy D.B. On the plane elastostatic problem of a loaded crack terminating at a material interface. J. Appl. Mech. 38 (1971) 911-918
4. Chen D.H. A crack normal to and terminating at a bimaterial interface. Eng. Fract. Mech. 49 4 (1994) 517-532
5. Chen J.-T., and Wang W.-C. Experimental analysis of an arbitrarily inclined semi-infinite crack terminated at the bi-material interface. Exp. Mech. 36 1 (1996) 7-16
6. Cook J., and Gordon J.E. A mechanism for the control of crack propagation in all-brittle systems. Proc. R. Soc. London A 282 139 (1964) 508-520
7. Davis J.B., Kristoffersson A., Carlstrom E., and Clegg W.J. Fabrication and crack deflection in ceramic laminates with porous interlayers. J. Am. Ceram. Soc. 83 10 (2000) 2369-2374
8. Dundurs J. Edge-bonded dissimilar orthogonal elastic wedges. J. Appl. Mech. 36 (1969) 650-652
9. Dunn M.L., Hui C.Y., Labossiere P.E.W., and Lin Y.Y. Small scale geometric and material features at geometric discontinuities and their role in fracture analysis. Int. J. Fract. 110 (2001) 101-121
10. Fenner D.N. Stress singularities in composite materials and an arbitrary oriented crack meeting an interface. Int. J. Fract. 12 (1976) 705-721
11. Gupta V., Argon A.S., and Suo Z. Crack deflection at an interface between two orthotropic media. J. Appl. Mech. 59 (1992) S79-S87
12. Hayashi K., and Nemat-Nasser S. Energy-release rate and crack kinking under combined loading. J. Appl. Mech. 48 (1981) 520-524
13. He, M-Y., Hutchinson, J.W., 1988. Kinking of a crack out of an interface: tabulated solution coefficients. Harvard University Report MECH-113A.
14. He M.-Y., and Hutchinson J.W. Crack deflection at an interface between dissimilar elastic materials. Int. J. Solids Struct. 25 9 (1989) 1053-1067
15. He M.-Y., and Hutchinson J.W. Kinking of a crack out of an interface. J. Appl. Mech. 56 (1989) 270-278
16. Hui C.Y., and Ruina A. Why K? High order singularities and small scale yielding. Int. J. Fract. 72 (1995) 97-120
17. Hutchinson J.W., and Suo Z. Mixed mode cracking in layered materials. Adv. Appl. Mech. 29 (1992) 63-191
18. Irwin G.R. Analysis of stresses and strains near the end of a crack traversing a plate. J. Appl. Mech. 24 (1957) 361-364
19. Joyce M.R., Reed P.A.S., and Syngellakis S. Numerical modeling of crack shielding and deflection in a multi-layered material system. Mater. Sci. Eng. A 342 (2003) 11-22
20. Kang Y., and Lu H. Investigation of near-tip displacement fields of a crack normal to and terminating at a bimaterial interface under mixed-mode loading. Eng. Fract. Mech. 69 (2002) 2199-2208
21. Kovar D., Thouless M.D., and Halloran J.W. Crack deflection and propagation in layered silicon nitride/boron nitride ceramics. J. Am. Ceram. Soc. 81 4 (1998) 1004-1012
22. Labossiere P.E.W., Dunn M.L., and Cunningham S.J. Application of bimaterial interface corner failure mechanics to silicon/glass anodic bonds. J. Mech. Phys. Solids 50 (2002) 405-433
23. Lawn B. Fracture of Brittle Solids. second ed. (1993), Cambridge University Press
24. Leguillon D., Lacroix C., and Martin E. Interface debonding ahead of a primary crack. J. Mech. Phys. Solids 48 (2000) 2137-2161
25. Leguillon D., Lacroix C., and Martin E. Crack deflection by an interface-asymptotics of the residual thermal stress. Int. J. Solids Struct. 38 (2001) 7423-7445
26. Lemaitre J., Desmorat R., Vidonne M.P., and Zhang P. Reinitiation of a crack reaching an interface. Int. J. Fract. 80 (1996) 257-276
27. Li J., Zhang X.B., and Recho N. Investigation of an arbitrarily oriented crack meeting an interface between two elastic materials. Eur. J. Mech. A-Solid. 16 5 (1997) 795-821
28. Liu X.H., Suo Z., and Ma Q. Split singularities: stress field near the edge of a silicon die on a polymer substrate. Acta Mater. 47 1 (1999) 67-76
29. Lu M.C., and Erdogan F. Stress intensity factors in two bonded elastic layers containing cracks perpendicular to and on the interface-I. Anal. Eng. Fract. Mech. 18 (1983) 491-506
30. Malyshev B.M., and Salganik R.L. The strength of adhesive joints using the theory of cracks. Int. J. Fract. Mech. 1 2 (1965) 114-128
31. Martinez D., and Gupta V. Energy criterion for crack deflection at an interface between two orthotropic media, II: results and experimental verification. J. Mech. Phys. Solids 42 (1994) 1247-1271
32. Mohammed I., and Liechti K.M. Cohesive zone modeling of crack nucleation at bimaterial corners. J. Mech. Phys. Solids 48 (2000) 735-764
33. Nuler, B., Ryvkin, M., Chudnovsky, A., in press. Crack stability in a vicinity of interface.
34. Parmigiani J.P., and Thouless M.D. The roles of toughness and cohesive strength on crack deflection at interfaces. J. Mech. Phys. Solids 54 (2006) 266-287
35. Reedy E.D. Connection between interface corner and interfacial fracture analyses of an adhesively-bonded butt joint. Int. J. Solids Struct. 37 (2000) 2429-2442
36. Rice J.R. Elastic fracture mechanics concepts for interfacial cracks. J. Appl. Mech. 55 (1988) 98-103
37. Roham S., Hardikar K., and Woytowitz P. Crack penetration and deflection at a bimaterial interface in a four-point bend test. J. Mater. Res. 19 10 (2004) 3019-3027
38. Thouless M.D., Cao H.C., and Mataga P.A. Delamination from surface cracks in composite materials. J. Mater. Sci. 24 (1989) 1406-1412
39. Williams M.L. The stress around a fault or crack in dissimilar media. Bull. Seismol. Soc. Am. 49 2 (1959) 199-204
40. Zak A.R., and Williams M.L. Crack point singularities at a bi-material interface. J. Appl. Mech. 31 (1963) 142-143