Failure process of a bundle of plastic fibers

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

Volumn 73, Issue 6, 2006, Pages

  Raischel, Frank ^a   Kun, Ferenc ^b   Herrmann, Hans J ^a,c  

^a UNIVERSITY OF STUTTGART   (Germany)

^b UNIVERSITY OF DEBRECEN   (Hungary)

^c FEDERAL UNIVERSITY OF CEARÁ   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLENESS; COMPUTER SIMULATION; FAILURE ANALYSIS; PERCOLATION (SOLID STATE); RUPTURE DISKS; SIZE DETERMINATION; STRESS ANALYSIS;

EXPONENTIAL DECAY; FAILURE LOADS; FAILURE PROCESS; FIBER BUNDLE MODELS;

PLASTIC FILAMENTS;

EID: 33744827688     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.066101     Document Type: Article

References (40)

1. Statistical Models for the Fracture of Disordered Media, edited by, H. J. Herrmann, and, S. Roux, (Elsevier, Amsterdam, 1990).
2. B. K. Chakrabarti and L. G. Benguigui, Statistical Physics of Fracture and Breakdown in Disordered Systems (Oxford University Press, New York, 1997).
3. H. E. Daniels, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 183, 405 (1945).
4. D. G. Harlow and S. L. Phoenix, J. Compos. Mater. JCOMBI 0021-9983 12, 314 (1978).
5. W. A. Curtin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80. 1445 80, 1445 (1998).
6. F. Kun and H. J. Herrmann, J. Mater. Sci. JMTSAS 0022-2461 10.1023/A:1004842704921 35, 4685 (2000).
7. S. Pradhan and B. K. Chakrabarti, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979203023264 17, 5565 (2003).
8. M. Kloster, A. Hansen, and P. C. Hemmer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.2615 56, 2615 (1997).
9. S. Pradhan, A. Hansen, and P. C. Hemmer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.125501 95, 125501 (2005).
10. S. Pradhan and A. Hansen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.026111 72, 026111 (2005).
11. R. C. Hidalgo, F. Kun, and H. J. Herrmann, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.066122 64, 066122 (2001).
12. J. V. Andersen, D. Sornette, and K. T. Leung, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2140 78, 2140 (1997).
13. Y. Moreno, J. B. Gomez, and A. F. Pacheco, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.2865 85, 2865 (2000).
14. F. Kun, Y. Moreno, R. C. Hidalgo, and H. J. Herrmann, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00469-9 63, 347 (2003).
15. P. Bhattacharyya, S. Pradhan, and B. K. Chakrabarti, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.046122 67, 046122 (2003).
16. S. Pradhan and B. K. Chakrabarti, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.016113 65, 016113 (2002).
17. G. G. Batrouni, A. Hansen, and J. Schmittbuhl, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.036126 65, 036126 (2002).
18. S. Zapperi, H. J. Herrmann, and S. Roux, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510070168 17, 131 (2000).
19. J. Knudsen and A. R. Massih, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.036129 72, 036129 (2005).
20. A. Delaplace, S. Roux, and G. Pijaudier-Cabot, J. Eng. Mech. JENMDT 0733-9399 127, 646 (2001).
21. F. Raischel, F. Kun, and H. J. Herrmann, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.046126 72, 046126 (2005).
22. D. Sornette, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/22/6/010 22, L243 (1989).
23. F. Kun, S. Zapperi, and H. J. Herrmann, Eur. Phys. J. B EPJBFY 1434-6028 17, 269 (2000).
24. P. C. Hemmer and A. Hansen, J. Appl. Mech. JAMCAV 0021-8936 59, 909 (1992).
25. A. Hansen and P. C. Hemmer, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(94)90511-8 184, 394 (1994).
26. R. C. Hidalgo, Y. Moreno, F. Kun, and H. J. Herrmann, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.046148 65, 046148 (2002).
27. S. Zapperi, P. Ray, H. E. Stanley, and A. Vespignani, Physica A PHYADX 0378-4371 10.1016/S0378-4371(99)00125-9 270, 57 (1999a).
28. S. Zapperi, P. Ray, H. E. Stanley, and A. Vespignani, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.5049 59, 5049 (1999b).
29. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London, 1992).
30. M. E. J. Newman and G. T. Barkema, Monte Carlo Methods in Statistical Physics (Clarendon Press, Oxford, 1999).
31. P. V. V. Nukala, S. Simunovic, and S. Zapperi, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2004) P08001.
32. S. Zapperi, P. Ray, H. E. Stanley, and A. Vespignani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.1408 78, 1408 (1997).
33. A. Hansen, S. Roux, and H. J. Herrmann, J. Phys. (Paris) JOPQAG 0302-0738 50, 733 (1989).
34. G. G. Batrouni and A. Hansen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.325 80, 325 (1998).
35. P. Ray and G. Date, Physica A PHYADX 0378-4371 10.1016/0378-4371(95) 00431-9 229, 26 (1996).
36. S. Roux, A. Hansen, H. Herrmann, and W. Guyon, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01016411 52, 237 (1988).
37. G. A. D' Addetta, F. Kun, E. Ramm, and H. J. Herrmann, in Continuous and Discontinuous Modelling of Cohesive-Frictional Materials, edited by, P. Vermeer, (Springer-Verlag, Berlin, 2001).
38. A. Weinrib, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.29.387 29, 387 (1984).
39. S. R. Anderson and F. Family, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38.4198 38, 4198 (1988).
40. H. Saleur and B. Duplantier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.2325 58, 2325 (1987).