The effects of cohesive strength and toughness on mixed-mode delamination of beam-like geometries

Engineering Fracture Mechanics

Volumn 74, Issue 17, 2007, Pages 2675-2699

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

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Cohesive zone model; Delamination; Mixed mode fracture

Indexed keywords

COMPRESSIVE STRENGTH; CRACK TIPS; ENERGY RELEASE RATE; FRACTURE MECHANICS; STRESSES; TOUGHNESS;

COHESIVE-ZONE MODEL; LINEAR-ELASTIC INTERFACIAL MECHANICS; MIXED-MODE FRACTURE;

INTERFACES (MATERIALS);

COMPRESSIVE STRENGTH; CRACK TIPS; ENERGY RELEASE RATE; FRACTURE MECHANICS; INTERFACES (MATERIALS); STRESSES; TOUGHNESS;

EID: 34548292534     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2007.02.005     Document Type: Article

References (48)

1. Inglis CE. Stresses in a plate due to the presence of cracks and sharp corners. In: Proc Inst Naval Arch 1913;55:219-30.
2. Cook J., and Gordon J.E. A mechanism for the control of crack propagation in all-brittle systems. Proc Royal Soc London, Series A 282 (1964) 508-520
3. Griffith A.A. The phenomenon of rupture and flow in solids. Philos Trans Royal Soc London A221 (1920) 163-198
4. Kendall K. The adhesion and surface energy of solids. J Phys D4 (1971) 1186-1195
5. Israelachvili J.N. Direct measurement of a tethered ligand-receptor interaction potential. Science 275 (1997) 820-822
6. Kafkalidis M.S., Thouless M.D., Yang Q.D., and Ward S.M. Deformation and fracture of an adhesive layer constrained by plastically-deforming adherends. J Adhes Sci Technol 14 (2000) 1593-1607
7. Cavalli M.N., and Thouless M.D. The effect of damage nucleation on the toughness of an adhesive joint. J Adhes 76 (2001) 75-92
8. Mastrangelo C.H., and Hsu C.H. Mechanical stability and adhesion of microstructures under capillary forces - Part I: Basic theory. J Microelectromech Syst 2 (1993) 33-43
9. Burns S.J., and Lawn B.R. A simulated crack experiment illustrating the energy balance criterion. Int J Fract Mech 4 (1968) 339-345
10. Thouless M.D. Mixed-mode fracture of a lubricated interface. Acta Metall Mater 40 (1992) 1281-1286
11. Hutchinson J.W., and Suo Z. Mixed mode cracking in layered materials. Adv Appl Mech 29 (1992) 63-191
12. Yang Q.D., Thouless M.D., and Ward S.M. Numerical simulations of adhesively-bonded beams failing with extensive plastic deformation. J Mech Phys Solids 47 (1999) 1337-1353
13. Yang Q.D., and Thouless M.D. Mixed-mode fracture analyses of plastically-deforming adhesive joints. Int J Fract 110 (2001) 175-187
14. Suo Z., and Hutchinson J.W. Interface crack between two elastic layers. Int J Fract 43 (1990) 1-18
15. Li S., Wang J., and Thouless M.D. The effects of shear on delamination in layered materials. J Mech Phys Solids 52 (2004) 193-214
16. Irwin G.R. Analysis of stresses and strains near the end of a crack traversing a plate. J Appl Mech 24 (1957) 361-364
17. Tvergaard V., and Hutchinson J.W. Toughness of ductile adhesive joints. J Mech Phys Solids 44 (1996) 789-800
18. Evans A.G., and Hutchinson J.W. Effects of non-planarity on the mixed-mode fracture resistance of bimaterial interfaces. Acta Metall Mater 37 (1989) 909-916
19. Faber K.T., and Evans A.G. Crack deflection processes - I theory. Acta Metall 31 (1983) 565-576
20. Thouless M.D. Fracture of a model interface under mixed-mode loading. Acta Metall Mater 38 (1990) 1135-1140
21. Wang J.S., and Suo Z. Experimental determination of interfacial toughness using brazil-nut-sandwich. Acta Metall Mater 38 (1990) 1279-1290
22. Liechti K.M., and Chai Y.S. Asymmetric shielding in interfacial fracture under in-plane shear. J Appl Mech 59 (1992) 295-304
23. Dundurs J. Edge-bonded dissimilar orthogonal elastic wedges. J Appl Mech 36 (1969) 650-652
24. Rice J.R., and Sih G.C. Plane problems of cracks in dissimilar media. J Appl Mech 32 (1965) 418-423
25. Rice J.R. Elastic fracture-mechanics concepts for interfacial cracks. J Appl Mech 55 (1988) 98-103
26. Suo Z., and Hutchinson J.W. On sandwich test specimen for measuring interface crack toughness. Mater Sci Engng A107 (1989) 135-143
27. Fleck N.A., Hutchinson J.W., and Suo Z. Crack path selection in a brittle adhesive layer. Int J Solids Struct 27 (1991) 455-466
28. Hutchinson J.W., Mear M.E., and Rice J.R. Crack paralleling an interface between dissimilar materials. J Appl Mech 54 (1987) 828-832
29. Cotterell B., and Rice J.R. Slightly curved or kinked cracks. Int J Fract 16 (1980) 155-169
30. Thouless M.D., Hutchinson J.W., and Liniger E.G. Plane-strain buckling-driven delamination of thin films: model experiments and mode - II fracture. Acta Metall Mater 40 (1992) 2639-2649
31. Thouless M.D., Jensen H.M., and Liniger E.G. Delamination from edge flaws. Proc Royal Soc A 447 (1994) 271-279
32. Fernlund G., and Spelt J.K. Mixed-mode fracture characterization of adhesive joints. Compos Sci Technol 50 (1994) 441-449
33. Needleman A. A continuum model for void nucleation by inclusion debonding. J Appl Mech 54 (1987) 525-553
34. Tvergaard V., and Hutchinson J.W. The relation between crack growth resistance and fracture process parameters in elastic plastic solids. J Mech Phys Solids 40 (1992) 1377-1392
35. Dugdale D.S. Yielding of sheets containing slits. J Mech Phys Solids 8 (1960) 100-104
36. Barenblatt G.I. The mathematical theory of equilirium cracks in brittle fracture. Adv Appl Mech 7 (1962) 55-129
37. Jin Z.-H., and Sun C.T. Cohesive zone modeling of interface fracture in elastic bi-materials. Engng Fract Mech 72 (2005) 1805-1817
38. Andersson T., and Stigh U. The stress-elongation relation for an adhesive layer loaded in peel using equilibrium of energetic forces. Int J Solids Struct 41 (2004) 413-434
39. Parmigiani J, Delamination and deflection at interfaces. PhD thesis, University of Michigan, Ann Arbor, MI, 2007.
40. Thouless M.D. Bridging and damage zones in crack growth. J Am Ceram Soc 71 (1988) 408-413
41. Tada H., Paris P.C., and Irwin G.R. The stress analysis of cracks handbook. 2nd ed. (1985), Paris Productions Inc., St. Louis, MO
42. Bao G., and Suo Z. Remarks on crack-bridging concepts. Appl Mech Rev 45 (1992) 355-366
43. Becker Jr. T.L., McNaney J.M., Cannon R.M., and Ritchie R.O. Limitations on the use of the mixed-mode delaminating beam test specimen: effects of the size of the region of K-dominance. Mech Mater 25 (1997) 291-308
44. Hutchinson J.W., Thouless M.D., and Liniger E.G. Growth and configurational stability of circular, buckling-driven film delaminations. Acta Metall Mater 40 (1992) 295-308
45. Jensen H.M., and Thouless M.D. Effects of residual stresses in the blister test. Int J Solids Struct 30 (1993) 779-795
46. Stringfellow R.G., and Freund L.B. The effect of interfacial friction on the buckle-driven spontaneous delamination of a compressed thin film. Int J Solids Struct 30 (1993) 1379-1395
47. Comninou M. An overview of interface cracks. Engng Fract Mech 37 (1990) 197-208
48. Malyshev B.M., and Salganik R.L. The strength of adhesive joints using the theory of fracture. Int J Fract Mech 1 (1965) 114-128