Size effect investigation of a central interface crack between two bonded dissimilar materials

Composite Structures

Volumn 105, Issue , 2013, Pages 90-107

  Li, Yong ^a   Viola, Erasmo ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

Complex variable technique; Crack propagation angle; Finite element method; Interfacial crack; Size effect

Indexed keywords

BONDED DISSIMILAR MATERIALS; COMPLEX VARIABLE TECHNIQUES; INTERFACIAL CRACKS; INTERFACIAL FRACTURE; LOCAL FRACTURE CRITERION; NON-SINGULAR STRESS; NUMERICAL SOLUTION; SIZE EFFECTS;

CRACK TIPS; DISSIMILAR MATERIALS; FINITE ELEMENT METHOD; FRACTURE; FRACTURE TOUGHNESS; INTERFACES (MATERIALS);

CRACKS;

EID: 84880844833     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2013.05.003     Document Type: Article

References (62)

1. Williams M.L. The stresses around a fault or crack in dissimilar media. Bull Seismol Soc Am 1959, 49(2):199-204.
2. England A.H. A crack between dissimilar media. J Appl Mech 1965, 32(2):400-402.
3. Erdogan F. Stress distribution in bonded dissimilar materials with cracks. J Appl Mech 1965, 32(2):403-410.
4. Rice J.R., Sih G.C. Plane problems of cracks in dissimilar media. J Appl Mech 1965, 32(2):418-423.
5. Willis J.R. Fracture mechanics of interfacial cracks. J Mech Phys Solids 1971, 19(6):353-368.
6. Comninou M. The interface crack. J Appl Mech 1977, 44(4):631-636.
7. Piva A., Viola E. Biaxial load effects on a crack between dissimilar media. Eng Fract Mech 1980, 13(1):143-174.
8. Viola E., Piva A. Plane strain interfacial fracture analysis of a bimaterial incompressible body. Eng Fract Mech 1981, 15(1-2):131-142.
9. Rice J.R. Elastic fracture mechanics concepts for interfacial cracks. J Appl Mech 1988, 55(1):98-103.
10. Leguillon D. Interface crack tip singularity with contact and friction. CR Acad Sci Paris 1999, 327(5):437-442.
11. Comninou M. An overview of interface cracks. Eng Fract Mech 1990, 37(1):197-208.
12. Mykhailova I.I., Menshykov O.V., Menshykova M.V., Guz I.A. Boundary integral equations for an interface linear crack under harmonic loading. J Comput Appl Math 2010, 234(7):2279-2286.
13. Cornetti P., Mantič V., Carpinteri A. Finite fracture mechanics at elastic interfaces. Int J Solids Struct 2012, 49(7-8):1022-1032.
14. Hills D.A., Barber J.R. Interface cracks. Int J Mech Sci 1993, 35(1):27-37.
15. Shin K.C., Liu H., Lee J.J., Choi S.T. Interfacial crack tip field in anisotropic/isotropic bimaterials. Compos Struct 2004, 66(1-4):673-676.
16. Erdogan F., Sih G.C. On the crack extension in plates under plane loading and transverse shear. J Basic Eng 1963, 85(4):519-525.
17. Sih G.C. Some basic problems in fracture mechanics and new concepts. Eng Fract Mech 1973, 5(2):365-377.
18. Hussain M.A., Pu S.L., Underwood J. Strain energy release rate for a crack under combined mode I and mode II. Fract Anal ASTM STP 1974, 560:2-28.
19. Wu C.H. Fracture under combined loads by maximum-energy-release-rate-criterion. J Appl Mech 1978, 45(3):553-558.
20. Theocaris P.S., Andrianopoulos N.P. The T-criterion applied to ductile fracture. Int J Fract 1982, 20(4):R125-R130.
21. Papadopoulos G.A. The stationary value of the third stress invariant as a local fracture parameter (Det. -criterion). Eng Fract Mech 1987, 27(6):643-652.
22. Gol'dstein R.V., Salganik R.L. Brittle fracture of solids with arbitrary cracks. Int J Fract 1974, 10(4):507-523.
23. Yang Q.S., Qin Q.H. Numerical simulation of cracking processes in dissimilar media. Compos Struct 2001, 53(4):403-407.
24. Cornetti P., Pugno N., Carpinteri A., Taylor D. Finite fracture mechanics: a coupled stress and energy failure criterion. Eng Fract Mech 2006, 73(14):2021-2033.
25. Mróz K.P., Mróz Z. On crack path evolution rules. Eng Fract Mech 2010, 77(11):1781-1807.
26. He M.Y., Hutchinson J.W. Kinking of a crack out of an interface. J Appl Mech 1989, 56(2):270-278.
27. Yuuki R., Xu J.Q. Stress based criterion for an interface crack kinking out of the interface in dissimilar materials. Eng Fract Mech 1992, 41(5):635-644.
28. Yuuki R., Liu J.Q., Xu J.Q., Ohira T., Ono T. Mixed mode fracture criteria for an interface crack. Eng Fract Mech 1994, 47(3):367-377.
29. Ayatollahi M.R., Mirsayar M.M. Kinking angles for interface cracks. Proc Eng 2011, 10:325-329.
30. Rudraraju S., Salvi A., Garikipati K., Waas A.M. Predictions of crack propagation using a variational multiscale approach and its application to fracture in laminated fiber reinforced composites. Compos Struct 2012, 94(11):3336-3346.
31. Theocaris P.S., Andrianopoulos N.P. The mises elastic-plastic boundary as the core region in fracture criteria. Eng Fract Mech 1982, 16(3):425-432.
32. Spyropoulos C.P. An improved determination of the zones of yield initiation for the interface crack problem. Eng Frac Mech 1990, 36(2):287-295.
33. Spyropoulos C.P. Crack initiation direction from interface of bonded dissimilar media. Theor Appl Fract Mech 2003, 39(1):99-105.
34. Buyukozturk O., Hearing B. Crack propagation in concrete composites influenced by interface fracture parameters. Int J Solids Struct 1998, 35(31-32):4055-4066.
35. Choi B.S., Chai Y.S. Interfacial crack propagation under various mode-mixes. KSME Int J 2002, 16(1):39-45.
36. Lee W., Shin H., Yoo Y.H. Revisited criterion to prevent kinking of a crack out of a bi-material interface under the presence of in-plane residual stresses - a global approach. Int J Eng Sci 2004, 42(3-4):257-270.
37. Kayupov M., Dzenis Y.A. Stress concentrations caused by bond cracks in single-lap adhesive composite joints. Compos Struct 2001, 54(2-3):215-220.
38. Goyal V.K., Johnson E.R., Goyal V.K. Predictive strength-fracture model for composite bonded joints. Compos Struct 2008, 82(3):434-446.
39. Goyal V.K., Johnson E.R., Dávila C.G. Irreversible constitutive law for modeling the delamination process using interfacial surface discontinuities. Compos Struct 2004, 65(3-4):289-305.
40. Yang T.L., Liu Y.B., Wang J. A study of the propagation of an embedded crack in a composite laminate of finite thickness. Compos Struct 2003, 59(4):473-479.
41. Kamiński M. Stochastic boundary element method analysis of the interface defects in composite materials. Compos Struct 2012, 94(2):394-402.
42. O'Day M.P., Curtin W.A. Bimaterial interface fracture: a discrete dislocation model. J Mech Phys Solids 2005, 53(2):359-382.
43. Zhang A.B., Wang B.L. An opportunistic analysis of the interface crack based on the modified interface dislocation method. Int J Solids Struct 2013, 50(1):15-20.
44. Muskhelishvili N.I. Some basic problems of the mathematical theory of elasticity 1953, Noordhoff, Groningen. 3rd ed.
45. Dundurs J. Discussion: "Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading". J Appl Mech 1969, 36(3):650-652.
46. Hutchinson J.W., Mear M.E., Rice J.R. Crack paralleling an interface between dissimilar materials. ASME J Appl Mech 1987, 54(4):828-832.
47. ABAQUS/CAE 6.11 user's manual.
48. Huynh D.B.P., Belytschko T. The extended finite element method for fracture in composite materials. Int J Numer Meth Eng 2009, 77:214-239.
49. Ayatollahi M.R., Sedighiani K. A T-stress controlled specimen for mixed mode fracture experiments on brittle materials. Eur J Mech A - Solid 2012, 36:83-93.
50. Wang T.T., Kwei T.K., Zupko H.M. Tensile strength of butt-joined epoxy-aluminum plates. Int J Fract Mech 1970, 6(2):127-137.
51. Malyshev B.M., Salganik R.L. The strength of adhesive joints using the theory of cracks. Int J Fract Mech 1965, 1(2):114-128.
52. Viola E., Piva A. Two arc cracks around a circular rigid inclusion. Meccanica 1980, 3:166-176.
53. Viola E., Piva A. Fracture behaviour by two cracks around an elliptic rigid inclusion. Eng Fract Mech 1981, 15(3-4):303-325.
54. Carpinteri A., Di Tommaso A., Viola E. Collinear stress effect on the crack branching phenomenon. Mat Const (RILEM) 1979, 12(6):439-446.
55. Viola E. Non-singular stresses effects on two interacting equal collinear cracks. Eng Fract Mech 1983, 18(4):801-814.
56. Viola E., Piva A., Radi E. Crack propagation in an orthotropic medium under general loading. Eng Fract Mech 1989, 34(5-6):1155-1174.
57. Greco F., Leonetti L., Lonetti P. A two-scale failure analysis of composite materials in presence of fiber/matrix crack initiation and propagation. Compos Struct 2013, 95:582-597.
58. Paggi M. Crack propagation in honeycomb cellular materials: a computational approach. Metals 2012, 2(1):65-78.
59. Kamiński M., Szafran J. Perturbation-based stochastic finite element analysis of the interface defects in composites via response function method. Compos Struct 2013, 97:269-276.
60. Gillespie J.W., Carlsson L.A., Gawandi A.A., Bogetti T.A. Fatigue crack growth at the face sheet-core interface in a discontinuous ceramic-tile cored sandwich structure. Compos Struct 2012, 94(11):3186-3193.
61. Guo L.C., Wu L.Z., Ma L. The interface crack problem under a concentrated load for a functionally graded coating-substrate composite system. Compos Struct 2004, 63(3-4):397-406.
62. Caggiano A., Martinelli E. A fracture-based interfacial model for simulating the bond behaviour of FRP strips glued to a brittle substrate. Compos Struct 2013, 99:397-403.