Search for precursors in some models of catastrophic failures

Lecture Notes in Physics

Volumn 705, Issue , 2006, Pages 459-477

  Pradhan, Srutarshi ^a   Chakrabarti, Bikask K ^b  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b SAHA INSTITUTE OF NUCLEAR PHYSICS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749175082     PISSN: 00758450     EISSN: None     Source Type: Book Series    
DOI: 10.1007/3-540-35375-5_16     Document Type: Review

References (47)

1. B.K. Chakrabarti and L.G. Benguigui, Statistical Physics of Fracture and Breakdown in Disorder Systems, Oxford Univ. Press, Oxford (1997)
2. H.J. Herrmann and S. Roux (Eds), Statistical Models for the Fracture of Disordered Media North Holland, Amsterdam (1990)
3. P. Bak, How Nature Works, Oxford Univ. Press, Oxford (1997).
4. F.T. Peirce, J. Textile Inst. 17, T355-368 (1926).
5. H.E. Daniels, Proc. R. Soc. London A 183, 405 (1945).
6. P.C. Hemmer and A. Hansen, J. Appl. Mech. 59, 909 (1992)
7. A. Hansen and P.C. Hemmer, Phys. Lett. A 184, 394 (1994)
8. M. Kloster, A. Hansen and P.C. Hemmer, Phys. Rev. E 56, 2615 (1997).
9. S. Pradhan, A. Hansen and P.C. Hemmer, Phys. Rev. Lett. 95, 125501 (2005)
10. S. Pradhan and A. Hansen, Phys. Rev. E 72, 026111 (2005).
11. D. Sornette, J. Phys. A 22, L243 (1989)
12. D. Sornette, J. Phys. I (France) 2, 2089 (1992)
13. A.T. Bernardes and J.G. Moreira, Phys. Rev. B 49, 15035 (1994).
14. S. Zapperi, P. Ray, H.E. Stanley and A. Vespignani, Phys. Rev. Lett. 78, 1408 (1997)
15. Y. Moreno, J.B. Gomez and A.F. Pacheco, Phys. Rev. Lett. 85, 2865 (2000).
16. S. Pradhan and B.K. Chakrabarti, Phys. Rev. E 65, 016113 (2001).
17. S. Pradhan, P. Bhattacharyya and B.K. Chakrabarti, Phys. Rev. E 66, 016116 (2002)
18. P. Bhattacharyya, S. Pradhan and B.K. Chakrabarti, Phys. Rev. E 67, 046122 (2003)
19. A. Hansen and P.C. Hemmer, Trends Stat. Phys. 1, 213 (1994).
20. R.C. Hidalgo, F. Kun and H.J. Herrmann, Phys. Rev. E 64, 066122 (2001)
21. S. Pradhan, B.K. Chakrabarti and A. Hansen, Phys. Rev. E 71, 036149 (2005).
22. B.D. Coleman, J. Appl. Phys. 27, 862 (1956)
23. B.D. Coleman, Trans. Soc. Rheol. 1, 153 (1957)
24. B.D. Coleman, Trans. Soc. Rheol. 2, 195 (1958).
25. S.L. Phoenix, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 34, 227 (1978)
26. S. Roux, Phys. Rev. E 62, 6164 (2000)
27. R. Scorretti, S. Cilibreto and A. Guarino, Europhys. Lett. 55, 626 (2001).
28. S. Pradhan and B.K. Chakrabarti, Phys. Rev. E 67, 046124 (2003).
29. P. Bak, C. Tang and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987)
30. P. Bak, C. Tang and K. Wiesenfeld, Phys. Rev. A. 38, 364 (1988).
31. S.S. Manna, J. Stat. Phys. 59, 509 (1990)
32. P. Grassberger and S.S. Manna, J. Phys. France 51, 1077 (1990)
33. S.S. Manna, J. Phys. A: Math. Gen. 24, L363 (1991).
34. D. Dhar, Physica A 270, 69 (1999)
35. D. Dhar, Physica A 186, 82 (1992)
36. D. Dhar, Physica A 263, 4 (1999).
37. M. Acharyya and B.K. Chakrabarti, Physica A 224, 254 (1996)
38. M. Acharyya and B.K. Chakrabarti, Phys. Rev. E 53, 140 (1996).
39. A. Vespignani, R. Dickman, M.A. Munoz and S. Zapperi, Phys. Rev. E 62, 4564 (2000)
40. A. Chessa, E. Marinari and A. Vespignani, Phys. Rev. Lett. 80, 4217 (1998).
41. Gutenberg, B. and Richter, C.F., Seismicity of the Earth and Associated phenomena, Princeton University Press, Princeton, N.J. (1954).
42. R. Burridge, L. Knopoff, Bull. Seis. Soc. Am. 57, 341 (1967).
43. J.M. Carlson, J.S. Langer, Phys. Rev. Lett. 62, 2632 (1989)
44. V. De Rubeis et al, Phys. Lett. 76, 2599 (1996).
45. B.K. Chakrabarti, R.B.Stinchcombe, Physica A 270, 27 (1999).
46. S. Pradhan, B.K. Chakrabarti, P. Ray and M.K. Dey, Phys. Scr. T 106, 77 (2003)
47. S. Pradhan, P. Chaudhuri and B.K. Chakrabarti, in Continuum Models and Discrete Systems, Ed. D. Bergman, E. Inan, Nato Sc, Series, Kluwer Academic Publishers (Dordrecht) 245 (2004).