Multifractal analysis of evolving noise associated with unstable plastic flow

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

Volumn 73, Issue 3, 2006, Pages

  Lebyodkin, M A ^a,b   Lebedkina, T A ^a  

^a INSTITUTE OF SOLID STATE PHYSICS   (Russian Federation)

^b INSTITUT JEAN LAMOUR   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DISCONTINUOUS DEFORMATION CURVES; MULTIFRACTAL APPROACH; NOISE-DRASTIC JUMPS;

DISLOCATIONS (CRYSTALS); MATHEMATICAL MODELS; MICROSTRUCTURE; STABILITY; STRESS ANALYSIS;

PLASTIC FLOW;

EID: 33644916698     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.036114     Document Type: Article

References (35)

1. L. P. Kubin, C. Fressengeas, and G. Ananthakrishna, in Dislocations in Solids, edited by, F. R. N. Nabarro, and, M. S. Duesbery, (Elsevier Science BV, Amsterdam, 2002), Vol. 11, p. 101.
2. Y. Estrin and L. P. Kubin, Mater. Sci. Eng., A MSAPE3 0921-5093 10.1016/0921-5093(91)90326-I 137, 125 (1991).
3. M. A. Lebyodkin, Y. Bréchet, Y. Estrin, and L. P. Kubin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.4758 74, 4758 (1995);
4. M. A. Lebyodkin, Y. Bréchet, Y. Estrin, and L. P. Kubin Acta Mater. ACMAFD 1359-6454 10.1016/1359-6454(96)00076-6 44, 4531 (1996).
5. G. Ananthakrishna, C. Fressengeas, M. Grosbras, J. Vergnol, C. Engelke, J. Plessing, H. Neuhauser, E. Bouchaud, J. Plane's, and L. P. Kubin, Scr. Metall. Mater. SCRMEX 0956-716X 10.1016/0956-716X(95)00013-L 32, 1731 (1995).
6. S. Venkadesan, K. P. N. Murthy, S. Rajasekhar, and M. C. Valsakumar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.611 54, 611 (1996).
7. S. J. Noronha, G. Ananthakrishna, L. Quaouire, C. Fressengeas, and L. P. Kubin, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S0218127497001734 7, 2577 (1997).
8. M. A. Lebyodkin and L. R. Dunin-Barkovskii, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 113, 1816 (1998)
9. M. A. Lebyodkin and L. R. Dunin-Barkovskii, [JETP JTPHES 1063-7761 10.1134/1.558571 86, 993 (1998)].
10. G. Ananthakrishna, S. J. Noronha, C. Fressengeas, and L. P. Kubin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.5455 60, 5455 (1999).
11. M. Lebyodkin, L. Dunin-Barkowskii, Y. Bréchet, Y. Estrin, and L. P. Kubin, Acta Mater. ACMAFD 1359-6454 10.1016/S1359-6454(00)00067-7 48, 2529 (2000).
12. G. D'Anna and F. Nori, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4096 85, 4096 (2000).
13. M. S. Bharathi, M. Lebyodkin, G. Ananthakrishna, C. Fressengeas, and L. P. Kubin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.165508 87, 165508 (2001);
14. M. S. Bharathi, M. Lebyodkin, G. Ananthakrishna, C. Fressengeas, and L. P. Kubin, Acta Mater. ACMAFD 1359-6454 10.1016/S1359-6454(02)00099-X 50, 2813 (2002).
15. D. Kugiumtzis, A. Kehagias, E. C. Aifantis, and H. Neuhäuser, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.036110 70, 036110 (2004).
16. M. A. Lebyodkin and Y. Estrin, Acta Mater. ACMAFD 1359-6454 53, 3403 (2005).
17. P. Barat, A. Sarkar, P. Mukherjee, and S. K. Bandyopadhyay, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.055502 94, 055502 (2005).
18. A. Portevin and F. Le Chatelier, Acad. Sci., Paris, C. R. COREAF 0001-4036 176, 507 (1923).
19. P. Bergé, Y. Pomeau, and C. Vidal, Order within Chaos, towards a Deterministic Approach to Turbulence (Wiley, New York, 1984).
20. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38.364
21. M. A. Lebyodkin, V. Ya. Kravchenko, and V. S. Bobrov, Mater. Sci. Eng., A MSAPE3 0921-5093 164, 252 (1993).
22. M. A. Lebyodkin, L. R. Dunin-Barkovskii, V. S. Bobrov, and V. Gröger, Scr. Metall. Mater. SCRMEX 0956-716X 10.1016/0956-716X(95)00285-4 33, 773 (1995);
23. M. A. Lebyodkin, L. R. Dunin-Barkowskii, and T. A. Lebedkina, Pis'ma Zh. Eksp. Teor. Fiz. PZETAB 0370-274X 76, 714 (2002)
24. M. A. Lebyodkin, L. R. Dunin-Barkowskii, and T. A. Lebedkina, [JETP JTPHES 1063-7761 76, 612 (2002)].
25. M. C. Miguel, A. Vespignani, S. Zapperi, J. Weiss, and J. R. Grasso, Mater. Sci. Eng., A MSAPE3 0921-5093 309-310, 324 (2001);
26. M. C. Miguel, A. Vespignani, S. Zapperi, J. Weiss, and J. R. Grasso, Mater. Sci. Eng., A MSAPE3 0921-5093 309-310, 360 (2001).
27. T. C. Halsey, M. H. Jensen, L. P. Kadanoff, I. Procaccia, and B. I. Shraiman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.33.1141 33, 1141 (1986).
28. P. W. Anderson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.109.1492 109, 1492 (1958).
29. A. A. Andronov, A. A. Vitt, and S. E. Khaikin, Theory of Oscillators (Pergamon, Oxford, 1966).
30. E. Pink, P. Bruckbauer, and H. Weinhandl, Scr. Mater. SCMAF7 1359-6462 38, 945 (1998).
31. J. Feder, Fractals (Plenum, New York, 1988).
32. J. Mach, F. Mas, and F. Sague's, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/28/19/015 28, 5607 (1995).
33. A. Chhabra and R. V. Jensen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.1327 62, 1327 (1989).
34. O. Malcai, D. A. Lidar, O. Biham, and D. Avnir, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.2817 56, 2817 (1997).
35. E. Rizzi and P. Hähner, Int. J. Plast. IJPLER 0749-6419 10.1016/S0749-6419(03)00035-4 20, 121 (2004).