Time-dependent fiber bundles with local load sharing

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 63, Issue 2 II, 2001, Pages 1-20

  Newman, W I ^a,b   Phoenix, S L ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^c Cornell University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18344379329     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.021507     Document Type: Article

References (56)

1. H.E. Daniels, Proc. R. Soc. London, Ser. A 183, 405 (1945).
2. D.E. Gücer and J. Gurland, J. Mech. Phys. Solids 10, 365 (1962).
3. R.L. Smith and S.L. Phoenix, ASME J. Appl. Mech. 48, 75 (1981).
4. R.L. Smith, Ann. Prob. 10, 137 (1982).
5. B.D. Coleman, J. Appl. Phys. 27, 862 (1956).
6. B.D. Coleman, Trans. Soc. Rheol. 1, 153 (1957).
7. B.D. Coleman, Trans. Soc. Rheol. 2, 195 (1958).
8. S.L. Phoenix, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 34, 227 (1978).
9. S.L. Phoenix, Adv. Appl. Probab. 11, 153 (1979).
10. D.G. Harlow and S.L. Phoenix, J. Compos. Mater. 12, 195 (1978).
11. D.G. Harlow and S.L. Phoenix, J. Compos. Mater. 12, 314 (1978).
12. R.L. Smith, Proc. R. Soc. London, Ser. A 372, 539 (1980).
13. C.-C. Kuo, Ph.D. thesis, Cornell University, 1983.
14. C.-C. Kuo and S.L. Phoenix, J. Appl. Probab. 24, 137 (1987).
15. L. Tierney, Adv. Appl. Probab. 14, 95 (1982).
16. S.L. Phoenix and L.-J. Tierney, Eng. Fract. Mech. 18, 193 (1983).
17. L. Tierney, Stochastic Process. Appl. 18, 139 (1984).
18. W. Weibull, ASME J. Appl. Mech. 18, 293 (1951).
19. J. M. Hedgepeth, NASA TN D-882, 1961 (unpublished).
20. F. Hikami and T.W. Chou, AIAA J. 28, 499 (1990).
21. I.J. Beyerlein, S.L. Phoenix, and A.M. Sastry, Int. J. Solids Struct. 33, 2543 (1996).
22. S.L. Phoenix and I.J. Beyerlein, in Comprehensive Composite Materials, edited by A. Kelly and C. Zweben (Pergamon-Elsevier Science, New York, 2000) Vol. 1, Chap. 1.19.
23. L. de Arcangelis, S. Redner, and H.J. Herrmann, J. Phys. (France) Lett. 46, L585 (1985).
24. P.M. Duxbury, P.L. Leath, and P.D. Beale, Phys. Rev. B 36, 367 (1987).
25. P.M. Duxbury and P.L. Leath, J. Phys. A 20, L411 (1987).
26. Statistical Models for the Fracture of Disordered Media, edited by H. J. Herrmann and S. Roux (North-Holland, Amsterdam, 1990).
27. H.M. Taylor and D.E. Sweitzer, Adv. Appl. Probab. 30, 342 (1998).
28. A. Hansen, in Statistical Models for the Fracture of Disordered Media, edited by H.J. Herrmann and S. Roux (North-Holland, Amsterdam, 1990).
29. A. Hansen, E.L. Hinrichsen, and S. Roux, Phys. Rev. B 43, 665 (1991).
30. D.G. Harlow and S.L. Phoenix, J. Mech. Phys. Solids 39, 173 (1991).
31. P.L. Leath and P.M. Duxbury, Phys. Rev. B 49, 14 905 (1994).
32. S.D. Zhang and E.J. Ding, Phys. Lett. A 193, 425 (1994).
33. S.D. Zhang and E.J. Ding, Phys. Rev. B 53, 646 (1996).
34. M. Kloster, A. Hansen, and P.C. Hemmer, Phys. Rev. E 56, 2615 (1997).
35. B.Q. Wu and P.L. Leath, Phys. Rev. B 61, 15 028 (2000).
36. B.Q. Wu and P.L. Leath, Phys. Rev. B 62, 9338 (2000).
37. Y.Y. Gotlib, A.V. Dobrodumov, A.M. El'yashevich, and Y.E. Svetlov, Sov. Phys. Solid State 15, 555 (1973).
38. Y.Y. Gotlib, A.M. El'yashevich, and Y.E. Svetlov, Sov. Phys. Solid State 14, 2672 (1973).
39. W.A. Curtin and H. Scher, Phys. Rev. Lett. 67, 2457 (1992).
40. W.A. Curtin and H. Scher, Phys. Rev. B 45, 2620 (1992).
41. W.A. Curtin and H. Scher, Phys. Rev. B 55, 12 038 (1997).
42. W.A. Curtin, W. Pamel, and H. Scher, Phys. Rev. B 55, 12 051 (1997).
43. A. Hansen, S. Roux, and E.L. Hinrichsen, Europhys. Lett. 13, 517 (1990).
44. S. Roux, A. Hansen, and E.L. Hinrichsen, Phys. Rev. Lett. 70, 100 (1993).
45. W.I. Newman and A.M. Gabrielov, Int. J. Fract. 50, 1 (1991).
46. W.I. Newman, A.M. Gabrielov, T.A. Durand, S.L. Phoenix, and D.L. Turcotte, Physica D 77, 200 (1994).
47. W.I. Newman, A.M. Gabrielov, S.L. Phoenix, and D.L. Turcotte, in Spatio-Temporal Patterns in Nonequilibrium Complex Systems: NATO Advanced Research Workshop edited by P.E. Cladis and P. Palffy-Mulhoray (Addison-Wesley, Reading, MA, 1995).
48. W.I. Newman, D.L. Turcotte, and A. Gabrielov, in Reduction and Predictability of Natural Disasters: Santa Fé Institute Studies in the Sciences of Complexity, edited by J.B. Rundle, W. Klein, and D.L. Turcotte (Addison-Wesley, Reading, MA, 1995), Vol. 25.
49. W.I. Newman, D.L. Turcotte, and A. Gabrielov, Phys. Rev. E 52, 4827 (1995).
50. T. Yamashita and L. Knopoff, Geophys. J. R. Astron. Soc. 96, 389 (1989).
51. B.K. Atkinson, J. Geophys. Res. 89, 4077 (1984).
52. D.T. Griggs, Bull. Geol. Soc. Am. 51, 1001 (1940).
53. R. P. Kelley, Ph.D. thesis, Cornell University, 1978.
54. E. Yaschin, Doctoral dissertation, Technion, Haifa, Israel, 1981.
55. P.D. Feigin and E. Yaschin, J. Appl. Probab. 19, 500 (1982).
56. T.H. Cormen, C.E. Leiserson, and R.L. Rivest, Introduction to Algorithms (MIT Press, Cambridge, MA, 1990).