The roles of toughness and cohesive strength on crack deflection at interfaces

Journal of the Mechanics and Physics of Solids

Volumn 54, Issue 2, 2006, Pages 266-287

  Parmigiani, J P ^a,b   Thouless, M D ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

^b Oregon State University   (United States)

Author keywords

Cohesive strength; Crack deflection; Crack penetration; Interfacial fracture; Toughness

Indexed keywords

BRITTLE FRACTURE; COMPOSITE MATERIALS; CRACKS; INTERFACIAL ENERGY; PARAMETER ESTIMATION;

COHESIVE STRENGTH; CRACK DEFLECTION; CRACK PENETRATION; INTERFACIAL FRACTURES;

TOUGHNESS;

EID: 28844434628     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2005.09.002     Document Type: Article

References (64)

1. M.F. Ashby, and D.R.H. Jones Engineering Materials vol. 2; An Introduction to Microstructures, Processing, and Design 1998 Butterworth-Heinemann Woburn, MA
2. J. Aveston, and A. Kelly Theory of multiple fracture of fibrous composites J. Mater. Sci. 8 1973 352 362
3. Aveston, J., Cooper, G.A., Kelly, A., 1971. The properties of fiber composites. In: Conference Proceedings, National Physical Laboratory, IPC Science and Technology Press Ltd. Paper 1, 1971, p. 1.
4. G.I. Barenblatt The mathematical theory of equilibrium cracks in brittle fracture Adv. Appl. Mech. 7 1962 55 129
5. P.F. Becher, and G.C. Wei Toughening behavior in sic-whisker-reinforced alumina J. Am. Ceram. Soc. 76 12 1984 C267 C269
6. G.H. Campbell, M. Ruhle, B.J. Dalgleish, and A.G. Evans Whisker toughening: a comparison between aluminum oxide and silicon nitride toughnened with silicon carbide J. Amer. Ceram. Soc. 73 3 1990 521 530
7. H.M. Chan Layered ceramics: processing and mechanical behavior Annu. Rev. Mater. Sci. 27 1997 249 282
8. W.J. Clegg Fabrication and failure of laminar ceramic composites Acta Metall. et Materialia 40 11 1992 3085 3093
9. R.F. Cook Segregation effects in the fracture of brittle materials Acta Metall. 38 6 1990 1083 1100
10. J. Cook, and J.E. Gordon A mechanism for the control of crack propagation in all-brittle systems Proc. R. Soc. London, Ser. A 282 139 1964 508 520
11. B. Cotterell, and J.R. Rice Slightly curved or kinked cracks Int. J. Fract. 16 2 1980 155 169
12. D.S. Dugdale Yielding of sheets containing slits J. Mech. Phys. Solids 8 1960 100 104
13. J. Dundurs Edge-bonded dissimilar orthogonal elastic wedges J. Appl. Mech. 36 1969 650 652
14. A.G. Evans, and D.B. Marshall The mechanical behavior of ceramic matrix composites Acta Metall. 37 1989 2567 2583
15. A.G. Evans, M.Y. He, and J.W. Hutchinson Interface debonding and fiber cracking in brittle matrix composites J. Am. Ceram. Soc. 72 1989 2300 2303
16. K.T. Faber, and A.G. Evans Crack deflection processes - I. Theory Acta Metall. 31 4 1983 565 576
17. K.T. Faber, and A.G. Evans Crack deflection processes - II. Experiment Acta Metall. 31 4 1983 577 584
18. C.A. Folsom, F.W. Zok, F.F. Lange, and D.B. Marshall The mechanical behavior of a laminar ceramic/fiber-reinforced epoxy composite J. Am. Ceram. Soc. 75 9 1992 1223 1228
19. A.A. Griffith The phenomenon of rupture and flow in solids Philos. Trans. Roy. Soc. London A221 1920 163 198
20. V. Gupta, A.S. Argon, and Z. Suo Crack deflection at an interface between two orthotropic media J. Appl. Mech. 59 1992 S79 S87
21. M.Y. He, and J.W. Hutchinson Crack deflection at an interface between dissimilar elastic materials Int. J. Solids Struct. 25 9 1989 1053 1067
22. M.Y. He, D.J. Heredia, D.J. Wissuchek, M.C. Shaw, and A.G. Evans The mechanics of crack growth in layered materials Acta Metall. Materiallia 41 4 1993 1223 1228
23. M.Y. He, A.G. Evans, and J.W. Hutchinson Crack deflection at an interface between dissimilar elastic materials: role of residual stresses Int. J. Solids Struct. 31 24 1994 3443 3455
24. A. Hillerborg, M. Modeer, and P.E. Peterson Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements Cement Concrete Res. 6 1976 773 782
25. J.W. Hutchinson, and Z. Suo Mixed mode cracking in layered materials Adv. Appl. Mech. 29 1992 63 191
26. Inglis, C.E., 1913. Stresses in a plate due to the presence of cracks and sharp corners. In: Proceedings of the Institute of Naval Architects, vol. 55. pp. 219-230.
27. G.R. Irwin Analysis of stresses and strains near the end of a crack traversing a plate J. Appl. Mech. 24 1957 361 364
28. M.S. Kafkalidis, and M.D. Thouless The effects of geometry and material properties on the fracture of single lap-shear joints Int. J. Solids Struct. 39 2002 4367 4383
29. H. Kessler, E. Chateau, R. Ballarini, A.H. Heuer, and S.M. Spearing Fracture mechanisms of the strombus gigas conch shell: implications for the design of brittle laminates J. Mater. Sci. 31 24 1996 6583 6594
30. A. Khan, H.M. Chan, M.P. Harmer, and R.F. Cook Toughening of an alumina-mullite composite by unbroken bridging elements J. Am. Ceram. Soc. 83 4 2000 833 840
31. J.A. Kies, and H.L. Smith Toughness Testing of Hot-Stretched Acrylics 1955 Aircraft Industries Association and Air Development Command Dayton, OH
32. A.M. Korsunsky Debounding of a weak interface in front of a through-thickness crack Int. J. Fract. 109 4 2001 L35 L40
33. D. Kovar, B.H. King, R.W. Trice, and J.W. Halloran Fibrous monolithic ceramics J. Am. Ceram. Soc. 80 10 1997 2471 2487
34. D. Kovar, M.D. Thouless, and J.W. Halloran Crack deflection and propagation in layered silicon nitride and boron nitride ceramics J. Am. Ceram. Soc. 81 1998 1004 1012
35. S. Li, M.D. Thouless, A.M. Waas, J.A. Schroeder, and P.D. Zavattieri Use of mode-I cohesive-zone models to describe the fracture of an adhesively-bonded polymer-matrix composite Compos. Sci. Technol. 65 2005 281 293
36. S. Li, M.D. Thouless, A.M. Waas, J.A. Schroeder, and P.D. Zavattieri Use of a cohesive-zone model to analyze the fracture of a fiber-reinforced polymer-matrix composite Compos. Sci. Technol. 65 2005 537 549
37. Li, S., Thouless, M.D., Waas, A.M., Schroeder, J.A., Zavattieri, P.D., 2006. Mixed-mode cohesive-zone models for fracture of an adhesively-bonded polymer-matrix composite. J. Eng. Fract. Mech. 73, 64-78.
38. M.C. Lu, and F. Erdogan Stress intensity factors in two bonded elastic layers containing cracks perpendicular to and on the interface - I. Analysis Eng. Fract. Mech. 18 1983 491 506
39. H. Luo, D. Goberman, L. Shaw, and M. Gell Indentation fracture behavior of plasma-sprayed nanostructured Al 2 O 3 - 13 wt % TiO 2 coatings Mater. Sci. Eng. A 346 1-2 2003 237 245
40. D. Martinez, and V. Gupta Energy criterion for crack deflection at an interface between two orthotropic media. II. Results and experimental verification J. Mech. Phys. Solids 42 1993 1247 1271
41. V.C. Nardone, and K.M. Prewo Tensile performance of carbon-fibre-reinforced glass J. Mater. Sci. 23 1 1988 168
42. A. Needleman A continuum model for void nucleation by inclusion debonding J. Appl. Mech. 54 1987 525 553
43. A. Needleman An analysis of decohesion along an imperfect interface Int. J. Fract. 42 1990 21 40
44. E. Orowan Fracture and strength of solids Rep. Progr. Phys. 12 1949 185 232
45. Parmigiani, J.P., 2005. Delamination and deflection at interfaces. Ph.D. Thesis, University of Michigan, Ann Arbor, MI.
46. Parmigiani, J.P., Thouless, M.D., 2006. Effects of the cohesive strength of interfaces on delamination phenomena, in preparation.
47. J.R. Rice Elastic fracture-mechanics concepts for interfacial cracks J. Appl. Mech. Trans. ASME 55 1 1988 98 103
48. M. Ruhle, B.J. Dalgeish, and A.G. Evans On the toughening of ceramics by whiskers Scr. Metall. 21 5 1987 681 686
49. T. Siegmund, N.A. Fleck, and A. Needleman Dynamic crack growth across an interface Int. J. Fract. 85 1997 381 402
50. Z. Suo, S. Ho, and X. Gong Notch ductile-to-brittle transition due to localized inelastic band J. Eng. Mater. Technol. 115 1993 319 326
51. D.O. Swenson, and C.A. Rau The stress distribution around a crack perpendicular to an interface between materials Int. J. Fract. Mech. 6 1970 357 360
52. H. Tada, P.C. Paris, and G.R. Irwin The Stress Analysis of Cracks Handbook second ed 1985 Paris Productions, Inc. St. Louis, MO
53. M.D. Thouless, H.C. Cao, and P.A. Mataga Delamination from surface cracks in composite materials J. Mater. Sci. 24 1989 1406 1412
54. W.-C. Tu, F.F. Lange, and A.G. Evans Concept for a damage-tolerant ceramic composite with strong interfaces J. Am. Ceram. Soc. 79 2 1996 417 424
55. D.L. Tullock, I.E. Reimanis, A.L. Graham, and J.J. Petrovic Deflection and penetration of cracks between 2 dissimilar materials Acta Metall. Materialia 42 9 1994 3245 3252
56. V. Tvergaard, and J.W. Hutchinson The relation between crack growth resistance and fracture process parameters in elastic plastic solids J. Mech. Phys. Solids 40 1992 1377 1392
57. V. Tvergaard, and J.W. Hutchinson The influence of plasticity on mixed mode interface toughness J. Mech. Phys. Solids 41 1993 1119 1135
58. T. Ungsuwarungsri, and W.G. Knauss Role of damage-softened material behavior in the fracture of composites and adhesives Int. J. Fract. 35 1987 221 241
59. S.A. Wainwright, W.D. Biggs, J.D. Currey, and J.M. Gosline Mechanical Design in Organisms 1982 Princeton University Press Princeton, NJ
60. M.L. Williams On the stress distribution at the base of a stationary crack J. Appl. Mech. 24 1957 109 114
61. Z. Xia, L. Riester, W.A. Curtin, H. Li, B.W. Sheldon, J. Liang, B. Chang, and J.M. Xu Direct observation of toughening mechanisms in carbon nanotube ceramic matrix composites Acta Materialia 52 4 2004 931 944
62. Yang, Q.D., 2000. Fracture analyses of plastically-deforming adhesive joints. Ph.D. Thesis, University of Michigan, Ann Arbor, MI.
63. Q.D. Yang, and M.D. Thouless Mixed-mode fracture analyses of plastically-deforming adhesive joints Int. J. Fract. 110 2001 175 187
64. A.K. Zak, and M.L. Williams Crack point singularities at a bi-material interface J. Appl. Mech. 30 1963 142 143