Effect of loading rate on dynamic fracture initiation toughness of brittle materials

International Journal of Fracture

Volumn 145, Issue 3, 2007, Pages 195-204

  Kim, Y ^a   Chao, Y J ^a  

^a University of South Carolina   (United States)

Author keywords

Dynamic failure criterion; Dynamic loading rate; Elastic crack tip constraint; Finite element analysis; Fracture initiation toughness

Indexed keywords

ASYMPTOTIC ANALYSIS; BRITTLENESS; CRACK TIPS; ELASTICITY; FAILURE ANALYSIS; PRESSURE EFFECTS; TOUGHNESS;

DYNAMIC FRACTURE INITIATION TOUGHNESS; DYNAMIC LOADING RATE;

FRACTURE MECHANICS;

EID: 35348945965     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-007-9114-1     Document Type: Article

References (38)

1. Achenbach JD (1970). Brittle and ductile extension of a finite crack by a horizontally polarized shear wave. Int J Eng Sci 8: 947-966
2. Achenbach JD (1972). Dynamic effects in brittle fracture. In: Nemat-Nasser, S (eds) Mechanics today, vol 1, pp 1-57. Pergamon Press, Newyork
3. Al-Ani AM and Hancock JW (1991). J-dominance of short cracks in tension and bending. J Mech Phys Solids 39: 23-43
4. Anderson TL (1995) Dynamic and time-dependent fracture. In: Fracture mechanics, fundamentals and applications. CRC press, pp 205-260
5. Biswas P and Narasimhan R (2002). A numerical study of constraint effects on dynamic ductile crack initiation. Mech Mater 45: 577-592
6. Chao YJ, Liu S and Broviak B (2001). Brittle fracture: Constraint effect and crack curving under Mode I conditions. Exp Mech 41(3): 232-241
7. Chao YJ and Reuter WG (1997). Fracture of surface cracks under bending loads. In: Underwood, JH, MacDonald, B and Mitchell, M (eds) Fatigue and fracture mechanics, vol 28, ASTM STP 1321, pp 214-242. American Society for Testing and Materials, Philadelphia
8. Chao YJ, Yang S and Sutton MA (1994). On the fracture of solids characterized by one or two parameters: Theory and practice. J Mech Phys Solids 42: 629-647
9. Chao YJ, Zhang X (1997) Constraint effect in brittle fracture. In: Piascik R (ed) Fatigue and fracture mechanics, vol 27, ASTM STP 1296. American Society for Testing and Materials, Philadelphia, pp 41-60
10. Dally JW and Barker DB (1988). Dynamic measurements of initiation toughness at high loading rates. Exp Mech 28: 298-303
11. Deng X (1994). The asymptotic structure of transient elastodynamic fields at the tip of a stationary crack. Proc R Soc A 446: 1-13
12. Freund LB (1973). Crack propagation in an elastic solid subjected to general loading. III. Stress wave loading. J Mech Phys Solids 21: 47-61
13. Freund LB (1990) Fracture initiation due to dynamic loading. In: Dynamic fracture mechanics. Cambridge University Press, pp 140-151
14. Jayadevan KR, Narasimhan R, Ramamurthy TS and Dattaguru B (2001). A numerical study of T - stress in dynamically loaded fracture specimens. In J Solids Struct 38: 4987-5005
15. Kalthoff JF and Shockey DA (1977). Instability of cracks under impulse loads. J Appl Phys 48(3): 986-993
16. Koppenhoefer KC and Dodds RH (1996). Constraint effect on fracture toughness of impact-loaded, pre-cracked Charpy specimens. Nucl Eng Des 162: 145-158
17. Koppenhoefer KC, Gullerud AS, Ruggieri C, Dodds RH (1994) WARP3D: dynamic nonlinear analysis of solids using a preconditioned conjugate gradient software architecture. Civil Engineering Studies, SRS 596, UILU-ENG-94-2017, University of Illinois, Urbana, Ill
18. Larsson SG and Carlsson AJ (1973). Influence of non-singular stress term and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials. J Mech Phys Solids 21: 263-278
19. Liu S and Chao YJ (2003). Variation of fracture toughness with constraint. Int J Frac 124: 113-117
20. Liu C, Knauss WG and Rosakis AJ (1998). Loading rates and the dynamic initiation toughness in brittle solids. Int J Frac 90: 103-118
21. Nakamura T, Shih CF and Freund LB (1986). Analysis of a dynamically loaded three-point bend ductile fracture specimen. Eng Frac Mech 25: 333-339
22. O'Dowd NP and Shih CF (1992). Family of crack-tip fields characterized by a triaxiality parameter-II. Fracture applications. J Mech Phys Solids 40: 939-963
23. Petrov YV and Morozov NF (1994). On the modeling of fracture of brittle solids. J Appl Mech 61: 710-712
24. Petrov YV, Morozov NF and Smirnov VI (2003). Structural macromechanics approach in dynamics of fracture. Fatigue Fract Eng Mater Struct 26: 363-372
25. Petrov YV and Sitnikova E (2005). Temperature dependence of spall strength and the effect of anomalous melting temperature in shock-wave loading. Tech Phys 50: 1034-1037
26. Ravera RJ and Sih GC (1969). Transient analysis of stress waves around cracks under antiplane strain. J Acoust Soc Am 47: 875-880
27. Ravi-Chandar K and Knauss WG (1984). An experimental investigation into dynamic fracture: I. Crack initiation and arrest. Int J Frac 25: 247-262
28. Rice JR (1968). A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech 35: 370-386
29. Ritchie RO, Knott JF and Rice JR (1973). On the relationship between critical tensile stress and fracture toughness in mild steel. J Mech Physics Solids 21: 395-410
30. Shockey DA, Curran DR (1973) A method of K IC at very high strain rate. ASTM Special Technical Publication No. 536
31. Shockey DA, Erlich DC, Kalthoff JF and Homma H (1986). Short-pulse fracture mechanics. Eng Frac Mech 23(1): 311-319
32. Shockey DA, Kalthoff JF and Erlich DC (1983). Evaluation of dynamic instability criteria. Int J Frac 22: 217-229
33. Sih GC (1968). Some elastodynamic problems of cracks. Int J Frac 4: 51-68
34. Sih CG, Embley GT and Ravera RJ (1972). Impact response of a plane crack in extension. Int J Solids Struct 8: 977-993
35. Sih GC and Loeber JF (1969). Wave propagation in an elastic solid with a line of discontinuity or finite crack. Q Appl Math 27: 193-213
36. Singh RP and Parameswaran V (2003). An experimental investigation of dynamic crack propagation in a brittle material reinforced with a ductile layer. Opt Lasers Eng 40: 289-306
37. Smith GC (1975) An experimental investigation of the fracture of a brittle material. Ph.D. thesis, California Institute of Technology
38. Williams ML (1957). On the stress distribution at the base of a stationary crack. J Appl Mech 24: 109-114