The influence of pre-existing dislocations on cleavage crack propagation behavior in crystals

Journal of the Mechanics and Physics of Solids

Volumn 45, Issue 2, 1997, Pages 211-223

  Mesarovic, Sinisa Dj ^a,b  

^a HARVARD UNIVERSITY   (United States)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

A. fracture mechanisms; A. fracture toughness; B. metallic materials

Indexed keywords

BRITTLENESS; CONTINUUM MECHANICS; CRACK PROPAGATION; DISLOCATIONS (CRYSTALS); DUCTILITY; FRACTURE TOUGHNESS; MATHEMATICAL MODELS; PLASTICITY; SINGLE CRYSTALS; THERMAL EFFECTS; VECTORS;

BURGERS VECTORS; CONTINUUM PLASTICITY MODELS; CRACK TRAPPING;

FRACTURE MECHANICS;

EID: 0031062074     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0022-5096(96)00079-8     Document Type: Article

References (60)

1. Abe, F., Narui, M. and Kayano, H. (1994) Fracture properties of neutron-irradiated martensitic 9Cr-WVTa steels below room temperature. J. Nuclear Mater. 212-215, 746-750.
2. Argon, A. S. (1987) Brittle to ductile transition in cleavage fracture. Acta Metall. 35, 185.
3. Argon, A. S., Xu, G. and Ortiz, M. (1995) Kinetics of dislocation emission from crack tips in brittle-ductile transitions of cleavage fracture. To appear in Proc. MRS Fall Meeting, Symp. Q.
4. Asby, M. F. and Embury, J. D. (1985) The influence of dislocation density on the ductile-brittle transition in bcc metals. Scripta Metall. 19, 557-562.
5. Bandyopadhyay, N. and McMahon, C. J. (1983) The micro-mechanism of tempered martensite embrittlement in 4340-type steels. Metall. Trans. 14A, 1313.
6. Beardmore, P. and Hull, D. (1967) Crack propagation in single crystals of molybdenum. Refractory Metals and Alloys IV, AIME Symp. American Institute of Mining and Metall. Engineering, New York.
7. Beltz, G. E., Rice, J. R., Shih, C. F. and Xia, L. (1995) A self-consistent model for cleavage in the presence of plastic flow. Submitted to Acta Metall.
8. Bower, A. F. and Ortiz, M. (1993) The influence of grain size on the toughness of monolithic ceramic. J. Engng Mater. Technol. 115, 228-236.
9. Cottrell, A. H. and Bilby, B. A. (1949) Dislocation theory of yielding and strain ageing of iron. Proc. Phys. Soc. LXII, 49-62.
10. Cottrell, B. and Rice, J. R. (1980) Slightly curved or kinked cracks. Int. J. Fracture 16, 155-169.
11. Curry, D. A. and Knott, J. F. (1978) Effects of microstructure on cleavage fracture stress in steel. Metal Sci. 12, 511-514.
12. Dewald, D. K., Lee, T. C., Robertson, I. M. and Birnbaum, H. K. (1989) Dislocation structures ahead of the moving crack. Scripta Metall. 23, 1307-1312.
13. Freund, L. B. and Hutchinson, J. W. (1985) High strain-rate crack growth in rate-dependent plastic solids. J. Mech. Phys. Solids 33, 169-191.
14. Frost, H. J. and Ashby, M. F. (1982) Deformation-Mechanism Maps. The Plasticity and Creep of Metals and Ceramics. Pergamon Press, New York.
15. Hahn, G. T. (1984) The influence of microstructure on brittle fracture toughness. Metall. Trans. 15A, 947.
16. Hahner, P. and Stamm, H. (1995) A dislocation dynamical theory of the ductile-to-brittle transition. Acta Metall. 43, 2797-2805.
17. Hart, E. W. (1980) A theory for stable crack extension rates in ductile materials. Int. J. Solids Structures 16, 807-823.
18. Hirsch, P. B. (1995) Crack-tip plasticity and quasi-brittle fracture of single crystals. Plastic Deformation of Ceramics, ed. R. C. Bradt, C. A. Brooks and J. L. Routhbert. Plenum, New York.
19. Hirth, J. P. and Lothe, J. (1982) Theory of Dislocations. John Wiley & Sons, New York.
20. Huang, H. and Gerberich, W. W. (1994) Quasi-equilibrium modeling of the toughness transition during semibrittle cleavage. Acta Metall. 42, 639-647.
21. Hull, D. and Beardmore, P. (1966) Velocity of propagation of cleavage cracks in tungsten. Int. J. Fract. Mech. 2, 468-486.
22. Hull, D., Beardmore, P. and Valentine, A. P. (1965) Crack propagation in single crystals of tungsten. Phil. Mag. 12, 1021.
23. Johnston, W. G. (1962) Yield points and delay times in single crystals. J. Appl. Phys. 33, 2716-2730.
24. Jokl, M. L., Vitek, V., McMahon, C. J. and Burgers, P. (1989) On the micromechanics of brittle fracture : existing vs injected cracks. Acta Metall. 37, 87-97.
25. Kocks, U. F., Argon, A. S. and Ashby, M. F. (1975) Thermodynamics and kinetics of slip. Progress in Material Science, Vol. 19, ed. B. Chalmers, J. W. Christian and T. B. Massalski. Pergamon Press, Oxford.
26. Lawn, B. (1993) Fracture of Brittle Solids - Second Edition. Cambridge University Press.
27. Leslie, W. C. (1972) Iron and its dilute substitutional solid solutions. Metall. Trans. 3, 5.
28. Leslie, W. C., Sober, R. J., Babcock, S. G. and Green, S. J. (1969) Plastic flow in binary substitutional alloys of BCC iron - effects of strain rate, temperature, and alloy content. Trans. ASM 62, 690-710.
29. Lin, I.-H and Thomson, R. (1986) Cleavage, dislocation emission, and shielding for cracks under general loading. Acta Metall. 34, 187-206.
30. Liu, J. M., and Shen, B. W. (1984) Dependence of dynamic fracture resistance on crack velocity in tungsten: Part I. Single crystals. Metall. Trans. 15A, 1247.
31. Marsh, P. G. and Gerberich, W. W. (1994) A microscopically-shielded Griffith criterion for cleavage in grain oriented silicon steel. Acta Metall. 42, 613-619.
32. Marsh, P. G., Zielinski, W., Huang, H. and Gerberich, W. W. (1992) Crack-tip dislocation emission arrangement for equilibrium - III. Application to large applied stress intensities. Acta Metall. 40, 2883-2894.
33. Mataga, P. A., Freund, L. B. and Hutchinson, J. W. (1987) Crack tip plasticity in dynamic fracture. J. Phys. Chem. Solids 48, 985-1005.
34. Mower, T. M. and Argon, A. S. (1995) Experimental investigation of crack trapping in brittle heterogeneous solids. Mech. Mater. 19, 343-364.
35. Nadgornyi, E. (1988) Dislocation dynamics and mechanical properties of crystals. Progress in Material Science, Vol. 31, ed. J. W. Christian, P. Hassen and T. B. Massalski. Pergamon Press, Oxford.
36. Needleman, A. (1990) Analysis of tensile decohesion along an interface. J. Mech. Phys. Solids 38, 289-324.
37. Pilkington, R. and Hull, D. (1968) Cont. on Fracture Toughness, Iron and Steel Inst. 20. As quoted by Hahn (1984).
38. Qu, Z. and McMahon, C. J. (1983) The effects of tempering reactions on temper embrittlement of alloy steels. Metall. Trans. 14A, 1101.
39. Rice, J. R. (1991) Unpublished notes.
40. Rice, J. R. (1992) Dislocation nucleation from a crack tip: an analysis based on the Peierls concept. J. Mech. Phys. Solids 40, 239-271.
41. Rice, J. R. and Beltz, B. E. (1994) The activation energy for dislocation nucleation at a crack. J. Mech. Phys. Solids 42, 333-360.
42. Rice, J. R., Beltz, G. E. and Sun, Y. (1992) Peierls framework for dislocation nucleation from a crack tip. Topics in Fracture and Fatigue, ed. A. S. Argon. Springer-Verlag, New York.
43. Rice, J. R. and Thomson, R. M. (1974) ductile vs. brittle behavior of crystals. Phil. Mag. 29, 73-97.
44. Rose, L. R. F. (1987) Toughening due to crack-front interaction with a second-phase dispersion. Mech. Mater. 6, 11-15.
45. Saka, H., Noda, K. and Imura, T. (1973) Tensile test of foil specimens of iron single crystals at room and low temperatures under observation in high voltage electron microscope. Crystal Lattice Defects 4, 45-56.
46. Saka, H. and Imura, T. (1973) Mobility of dislocations in Fe-3% Si. Phys. Stat. Sol. (a) 19, 653-660.
47. Schiotz, J., Carlsson, A. E., Canel L. M. and Thomson, R. (1995) Effect of crack blunting on subsequent crack propagation. To appear in Proc. MRS Fall Meeting, Symp. Q.
48. Suo, A., Shih, C. F. and Varias, A. G. (1993) A theory of cleavage cracking in the presence of plastic flow. Acta Metall. 41, 1551.
49. Tani, T. and Nagumo, M. (1995) Fracture process of allow carbon low alloy steel relevant to Charpy toughness at ductile-brittle fracture transition region. Metall. Mat. Trans. 26A, 391.
50. Tetelman, A. S. (1963) The plastic deformation at the tip of a moving crack. Fracture of Solids, pp. 461-501. Interscience, New York.
51. Tetelman, A. S. (1964) The effect of plastic strain and temperature on microcrack 'propagation in iron-3% silicon. Acta Metall. 12, 993.
52. Tetelman, A. S. and Johnston, T. L. (1965) Plastically induced crack growth in iron-3% silicon monocrystals. Phil. Mag. 11, 389-406.
53. Tetelman, A. S. and Robertson, W. D. (1963) Direct observations and analysis of crack propagation in iron-3% silicon single crystals. Acta Metall. 11, 415.
54. Tvergaard, V. and Hutchinson, J. W. (1992) On the relation between crack growth resistance and fracture parameters in elastic-plastic solids. J. Mech. Phys. Solids 40, 377.
55. Tvergaard, V. and Hutchinson, J. W. (1993) The influence of plasticity on mixed-mode interface toughness. J. Mech. Phys. Solids 41, 1119.
56. Wang, J. S. (1994) Hydrogen induced embrittlement and the effect of the mobility of hydrogen atoms. Proc. 5th Int. Conf. in Hydrogen Effects on Material Behavior, ed. W. Y. Moran, W. R. Moody and A. W. Thompson. TMS, Warrendale, PA.
57. Warren, P. D. (1989) The brittle-ductile transition in silicon: the influence of pre-existing dislocation arrangements. Scripta Metall. 23, 637-642.
58. Xu, G., Argon, A. S. and Oritz, M. (1995a) Nucleation of dislocations from crack tips under mixed modes of loading : implications for brittle against ductile behaviour of crystals. Phil. Mag. A72, 415.
59. Xu, G., Argon, A. S. and Ortiz, M. (1995b) Critical configurations for nucleation of dislocations from crack tips. Submitted to Phil. Mag.
60. Zielinski, W., Lii, M. J. and Gerberich, W. W. (1992) Crack-tip dislocation emission arrangement for equilibrium - I. In situ TEM observations of Fe-2wt%Si. Acta Metall. 40, 2861-2871.