Dynamic fracture mechanics analysis of failure mode transitions along weakened interfaces in elastic solids

Engineering Fracture Mechanics

Volumn 73, Issue 12, 2006, Pages 1597-1614

  Roy Xu, L ^a   Wang, Ping ^a  

^a VANDERBILT UNIVERSITY   (United States)

Author keywords

Crack kinking; Dynamic stress intensity factors; Failure mode transition; Mode mixity; The T stress

Indexed keywords

CRACK PROPAGATION; CRACKS; ELASTICITY; FAILURE (MECHANICAL); INTERFACES (MATERIALS); SOLIDS; STRESS INTENSITY FACTORS;

CRACK KINKING; DYNAMIC STRESS INTENSITY FACTOR; FAILURE MODE TRANSITION; MODE MIXITY;

FRACTURE MECHANICS;

CRACK PROPAGATION; CRACKS; ELASTICITY; FAILURE (MECHANICAL); FRACTURE MECHANICS; INTERFACES (MATERIALS); SOLIDS; STRESS INTENSITY FACTORS;

EID: 33646792999     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2006.02.009     Document Type: Article

References (50)

1. Freund L.B. Dynamic fracture mechanics (1990), Cambridge University Press, New York
2. Gao H. Surface roughness and branching instabilities in dynamic fracture. J Mech Phys Solid 41 (1993) 457-486
3. Broberg K.B. Cracks and fracture (1999), Academic Press, San Diego
4. Rosakis A.J., Samudrala O., and Coker D. Cracks faster than shear wave speed. Science 284 (1999) 1337-1340
5. Ravi-chandar K., Lu J., Yang B., and Zhu Z. Failure mode transitions in polymers under high strain rate loading. Int J Fract 101 (2000) 33-72
6. Washabaugh P.G., and Knauss W.G. A reconciliation of dynamic crack growth velocity and Rayleigh wave speed in isotropic brittle solids. Int J Fract 65 (1994) 97-114
7. Gao H., Huang Y., Gumbsch P., and Rosakis A.J. On radiation-free transonic motion of cracks and dislocations. J Mech Phys Solids 47 (1999) 1941-1961
8. Geubelle P.H., and Kubair D. Intersonic crack propagation in homogeneous media under shear-dominated loading: numerical analysis. J Mech Phys Solids 49 (2001) 571-587
9. Xu L.R., Huang Y.Y., and Rosakis A.J. Dynamic crack deflection and penetration at interfaces in homogeneous materials: experimental studies and model predictions. J Mech Phys Solids 51 (2003) 461-486
10. Kobayashi A.S., and Mall S. Dynamic fracture toughness of homalite-100. Exp Mech 18 (1978) 11-18
11. Kalthoff JF. On some current problems in experimental fracture. In: Knauss WG, Ravi-Chandar K, Rosakis AJ, editors. Workshop on dynamic fracture. Pasadena, Caltech SM Report 83-12, 1983. p. 11-35.
12. Guduru P., Zehnder A.T., Rosakis A.J., and Ravichandran G. Dynamic full-field measurements of crack tip temperatures. Engng Fract Mech 68 (2001) 1535-1556
13. Liu C., Lambros J., and Rosakis A.J. Highly transient crack growth in a bimaterial interface: higher order asymptotic analysis and optical experiments. J Mech Phys Solids 41 12 (1993) 1887-1954
14. Deng X. An asymptotic analysis of stationary and moving cracks with frictional contact along bimaterial interfaces and in homogeneous solids. Int J Solids Struct 31 (1994) 2407-2429
15. Singh R.P., and Shukla A. Characterization of isochromatic fringe patterns for a dynamically propagating interface crack. Int J Fract 76 (1996) 293-310
16. Siegmund T., Fleck N.A., and Needleman A. Dynamic crack growth across an interface. Int J Fract 85 (1997) 381-402
17. Arata J.J.M., Nedleman A., Kumar K.S., and Curtin W.A. Microcrack nucleation and growth in elastic lamellar solids. Int J Fract 105 (2000) 321-342
18. Xu L.R., and Rosakis A.J. Impact failure characteristics in sandwich structures. Part II. Effects of impact speed and interfacial strength. Int J Solids Struct 39 (2002) 4237-4248
19. Ramulu M., and Kobayashi A.S. Mechanics of crack curving and branching - a dynamic fracture analysis. Int J Fract 27 (1985) 187-201
20. Dally J.W. Dynamic photoelastic studies of fracture. Exp Mech 19 (1979) 349-361
21. In: Kobayashi A.S. (Ed). Handbook on experimental mechanics. Society of experimental mechanics (1987), Prentice-Hall Inc, New Jersey
22. Sanford R.J., and Dally J.W. A general method for determining mixed-mode stress intensity factors from isochromatic fringe patterns. Engng Fract Mech 11 (1979) 621-633
23. Rosakis A.J., and Ravi-Chandar K. On crack-tip stress state: an experimental evaluation of three-dimensional effects. Int J Solids Struct 22 (1986) 121-134
24. Cotterell B., and Rice J.R. Slightly curved or kinked cracks. Int J Fract 16 2 (1980) 155-169
25. Leevers P.S., and Radon J.C. Inherent stress biaxiality in various fracture specimen geometries. Int J Fract 19 (1982) 311-325
26. Hutchinson J.W., and Suo Z. Mixed mode cracking in layered materials. Adv Appl Mech 29 (1992) 63-191
27. Anderson T.L. Fracture mechanics. 2nd ed. (1995), CRC Press, Boca Raton
28. Xu L.R., and Rosakis A.J. An experimental study of impact-induced failure events in homogeneous layered materials using dynamic photoelasticity and high-speed photography. Opt Lasers Engng 40 (2003) 263-288
29. Yang B., and Ravi-Chandar K. Evaluation of elastic T-stress by the stress difference method. Engng Fract Mech 64 (1999) 589-605
30. Jayadevan K.R., Narasimhan R., Ramamurthy T.S., and Dattaguru B. A numerical study of T-stress in dynamically loaded fracture specimens. Int J Solids Struct 38 (2001) 4987-5005
31. Chen C.S., Krause R., Pettit R.G., Banks-Sills L., and Ingraffea A.R. Numerical assessment of T stress computation using p-version finite element method. Int J Fract 107 (2001) 177-199
32. Paulino G.H., and Kim J.-H. A new approach to compute T stress in functionally graded materials by means of the interaction integral method. Engng Fract Mech 71 (2004) 1907-1950
33. Gao H., and Chiu C.H. Slightly curved or kinked cracks in anisotropic elastic solids. Int J Solids Struct 29 (1992) 947-972
34. Selvarthinam A.S., and Goree J.G. T-stress based fracture model for cracks in isotropic materials. Engng Fract Mech 60 (1998) 543-561
35. Yang S., and Yuan F.-G. Kinked crack in anisotropic bodies. Int J Solids Struct 37 (2000) 6635-6682
36. Becker Jr. T.L., Cannon R.M., and Ritchie R.O. Finite crack kinking and T-stresses in functionally graded materials. Int J Solids Struct 38 (2001) 5545-5563
37. Chen B., and Dillard D.A. The effect of T stress on crack path selection in adhesively bonded joints. Int J Adhesion Adhesives 21 (2001) 357-368
38. Chao Y.J., Liu S., and Broviak B.J. Brittle fracture: variation of fracture toughness with constraint and crack curving under mode I conditions. Exp Mech 41 (2001) 232-241
39. Maleski M.J., Kirugulige M.S., and Tippur H.V. A method for measuring mode I crack tip constraint under static and dynamic loading conditions. Exp Mech 44 (2004) 522-532
40. Li XF, Xu LR. T-stresses across static crack kinking. J Appl Mech, in press.
41. Melin S. The influence of the T-Stress on the directional stability of cracks. Int J Fract 114 (2002) 259-265
42. Richardson DE, Goree JG. Experimental verification of a new two parameter fracture model. Fracture mechanics: twenty-third symposium. ASTM STP 1189, 1993. p. 738-50.
43. Williams M.L. Stress singularities resulting from various boundary conditions in angular corners in extension. J Appl Mech 19 (1952) 526-528
44. Williams M.L. On the stress distribution at the base of a stationary crack. J Appl Mech 24 (1957) 109-114
45. Azhdari A., and Nemat-Nasser S. Energy-release rate and crack kinking in anisotropic brittle solids. J Mech Phys Solids 44 (1996) 929-951
46. He M.Y., and Hutchinson J.W. Crack deflection at an interface between dissimilar elastic materials. Int J Solids Struct 25 (1989) 1053-1067
47. Gupta V., Argon A.S., and Suo Z. Crack deflection at an interface between two orthotropic materials. J Appl Mech 59 (1992) s79-s87
48. Rousseau C.-E., and Rosakis A.J. On the influence of fault bends on the growth of Sub-Rayleigh and intersonic dynamic shear ruptures. J Geophys Res 108 (2003) 2411-2431
49. Chalivendra V, Rosakis AJ. Private communication. Caltech, 2004.
50. Lee O.S., and Knauss W.G. Dynamic crack propagation along a weakly bonded planes in a polymer. Exp Mech 29 (1989) 342-345