Generalized Griffith criterion for dynamic fracture and the stability of crack motion at high velocities

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 2, 1999, Pages 2366-2376

  Adda Bedia, M ^a   Arias, R ^b   Ben Amar, M ^a   Lund, F ^b  

^a LABORATOIRE DE PHYSIQUE STATISTIQUE   (France)

^b DEPARTAMENTO DE FÍSICA   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961076832     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.2366     Document Type: Article

References (41)

1. J. Fineberg, S.P. Gross, M. Marder, and H.L. Swinney, Phys. Rev. Lett. 67, 457 (1991)
2. J. FinebergS.P. GrossM. MarderH.L. SwinneyPhys. Rev. B 45, 5146 (1992).
3. S.P. Gross, J. Fineberg, M. Marder, W.D. McCormick, and H.L. Swinney, Phys. Rev. Lett. 71, 3162 (1993).
4. E. Sharon, S.P. Gross, and J. Fineberg, Phys. Rev. Lett. 74, 5096 (1995)
5. Phys. Rev. Lett.E. SharonS.P. GrossJ. Fineberg76, 2117 (1996).
6. E. Sharon and J. Fineberg, Phys. Rev. B 54, 7128 (1996).
7. J.F. Boudet, S. Ciliberto, and V. Steinberg, Europhys. Lett. 30, 337 (1995)
8. J.F. BoudetS. CilibertoV. SteinbergJ. Phys. II 6, 1493 (1996).
9. K. Ravi-Chandar and B. Yang, J. Mech. Phys. Solids 45, 535 (1997).
10. J.F. Boudet and S. Ciliberto, Phys. Rev. Lett. 80, 341 (1998).
11. L.B. Freund, Dynamic Fracture Mechanics (Cambridge University Press, Cambridge, 1990).
12. W.G. Knauss and K. Ravi-Chandar, Int. J. Fract. 27, 127 (1985).
13. J. R. Rice, Y. Ben-Zion, and K.-S. Kim, J. Mech. Phys. Solids 42, 813 (1994).
14. F. Lund, Phys. Rev. Lett. 76, 2742 (1996).
15. H. Gao, J. Mech. Phys. Solids 41, 457 (1993)
16. J. Mech. Phys. SolidsH. Gao44, 1453 (1996)
17. H. GaoPhilos. Mag. Lett. 76, 307 (1997).
18. E.S.C. Ching, J.S. Langer, and H. Nakanishi, Phys. Rev. E 53, 2864 (1996).
19. J.S. Langer and A.E. Lobkowsky, J. Mech. Phys. Solids 46, 1521 (1998).
20. M. Marder and S.P. Gross, J. Mech. Phys. Solids 43, 1 (1995).
21. X.P. Xu and A. Needleman, J. Mech. Phys. Solids 42, 1397 (1994).
22. F.F. Abraham, D. Brodbeck, R.A. Rafey, and W.E. Rudge, Phys. Rev. Lett. 73, 272 (1994).
23. S.J. Zhou, P.S. Lomdahl, R. Thomson, and B.L. Holian, Phys. Rev. Lett. 76, 2318 (1996).
24. P. Gumbsch, S.J. Zhou, and B.L. Holian, Phys. Rev. B 55, 3445 (1997).
25. A.A. Griffith, Philos. Trans. R. Soc. London, Ser. A 221, 163 (1920).
26. R.V. Gol’dstein and R.L. Salganik, Int. J. Fract. 10, 507 (1974).
27. M. Amestoy and J.B. Leblond, C. R. Acad. Sci., Ser. II: Mec. Phys., Chim., Sci. Terre Univers 301, 969 (1985).
28. J.R. Rice, J. Appl. Mech. 35, 379 (1968).
29. B.V. Kostrov and L.V. Nitkin, Arch. Mech. Stosow. 22, 749 (1970).
30. J.D. Eshelby, Philos. Mag. 42, 1401 (1951).
31. J.D. Eshelby, in Inelastic Behavior of Solids, edited by M. F. Kanninen, W.F. Adler, A.R. Rosenfield, and R.I. Jaffee (McGraw-Hill, New York, 1970), p. 77.
32. M.E. Gurtin and P. Podio-Guidugli, J. Mech. Phys. Solids 44, 905 (1996)
33. J. Mech. Phys. SolidsM.E. GurtinP. Podio-Guidugli46, 1343 (1998).
34. M.E. Gurtin and M.M. Shvartsman, J. Elast. 48, 167 (1997).
35. M. Adda-Bedia, R. Arias, M. Ben Amar, and F. Lund, Phys. Rev. Lett. 82, 2314 (1999).
36. G.A. Maugin, Acta Mech. 105, 33 (1994).
37. R. Dmowska and J.R. Rice, in Continuum Theories in Solid Earth Physics, edited by R. Teisseyre, Physics and Evolution of the Earth’s Interior Vol. 3 (Elsevier, Amsterdam, 1986), p. 187.
38. B. Cotterell and J. Rice, Int. J. Fract. 16, 155 (1980).
39. M. Adda-Bedia, M. Ben Amar, and Y. Pomeau, Phys. Rev. E 54, 5774 (1996).
40. A.G. Evans, M. Rühle, B.J. Dalgleish, and P.G. Charalambides, Mater. Sci. Eng., A 126, 53 (1990).
41. For a discussion of the stability of straight line crack motion within the context of thermal fracture, see M. Adda-Bedia and Y. Pomeau, Phys. Rev. E 52, 4105 (1995).