Energies of a kinked crack line

Journal of Statistical Physics

Volumn 93, Issue 3-4, 1998, Pages 511-525

  Marder, M ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Creep; Energy barriers; Fracture; Kinks; Thermal fluctuations

Indexed keywords

EID: 0041179357     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/b:joss.0000033239.22129.c1     Document Type: Article

References (16)

1. D. Bensimon, L. P. Kadanoff, S. Liang, and B. I. Shraiman, Viscous flows in two dimensions, Rev. Mod. Phys. 58:977-99 (1986).
2. R. Thomson, C. Hsieh, and V. Rana, Lattice trapping of fracture cracks, J. Appl. Phys. 42(8):3154-3160 (1971).
3. R. Thomson, The physics of fracture, Solid State Physics 39:1-129 (1986).
4. J. J. Gilman and H. C. Tong, Quantum tunneling as an elementary fracture process, J. Appl. Phys. 42:3479-3486 (1971).
5. J. E. Sinclair, The influence of the interatomic force law and of kinks on the propagation of brittle cracks, Philosophical Magazine 31:647-71 (1975).
6. A. S. Krausz and J. Mshana, The steady state fracture kinetics of crack front spreading, Inter. J. Fract. 19:277-93 (1982).
7. I. H. Lin and J. P. Hirth, On brittle crack advance by double kink nucleation, J. Mater. Sci. 17:447-60 (1982).
8. Sharad Ramanathan and Daniel S. Fisher, Dynamics and instabilities of planar tensile cracks in heterogeneous media, Phys. Rev. Lett. 79:877-880 (1997).
9. C. Hsieh and R. Thomson, Lattice theory of fracture and crack creep, J. Appl. Phys. 44:2051-2063 (1973).
10. B. R. Lawn, An atomistic model of kinetic crack growth in brittle solids, J. Mater. Sci. 10:469-80 (1975).
11. A. J. Markworth and J. P. Hirth, An atomistic model of crack extension by kink propagation, J. Mater. Sci. 16:3405-17 (1981).
12. R. Thomson, V. K. Tewary, and K. Masuda-Jindo, Theory of chemically induced kink formation on cracks in silica. I. 3-d crack Green's functions, J. Mater. Res. 2:619-30 (1987).
13. D. Holland and M. Marder. Ideal brittle fracture of silicon studied with molecular dynamics, Phys. Rev. Lett. 80:746-749 (1998).
14. M. Marder and S. P. Gross, Origin of crack tip instabilities, J. Mech. Phys. Solids 43:1-48 (1995).
15. Michael Marder, Statistical mechanics of cracks, Phys. Rev. E 54:3442-3454 (1996).
16. E. N. Economou, Green's Functions in Quantum Physics (Springer-Verlag, Berlin, 1983).