Relaxation oscillations and negative strain rate sensitivity in the Portevin–Le Chatelier effect

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

Volumn 61, Issue 4, 2000, Pages 3664-3674

  Rajesh, S ^a   Ananthakrishna, G ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

PLASTIC FLOW; SLIP FORMING; STICK-SLIP; STRESS-STRAIN CURVES; TIME MEASUREMENT;

BENT GEOMETRY; DYNAMICAL INTERPRETATION; PORTEVIN-LE CHATELIER EFFECTS; RELAXATION OSCILLATION; SLOW MANIFOLDS; STRAIN RATE DEPENDENCE; STRAIN RATE SENSITIVITY; TIME-SCALES;

STRAIN RATE;

EID: 0000162172     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.3664     Document Type: Article

References (42)

1. F. Le Chatelier, Re. de Metallurgie 6, 914 (1909)
2. A. Portevin and F. Le Chatelier, C. R. Acad. Sci. 176, 507 (1923).
3. A. H. Cottrell, Philos. Mag. 44, 829 (1953).
4. B. J. Brindley and P. J. Worthington, Metall. Rev. 145, 101 (1970).
5. Scr. Metall. Mater. 29, 8 (1993), special issue on view point set No.21, edited by L. P. Kubin, Y. Estrin, and E. C. Aifantis.
6. P. G. McCormick, Acta Metall. 20, 351 (1972).
7. A. van den Beukel, Phys. Status Solidi A 30, 197 (1975).
8. L. P. Kubin and Y. Estrin, Acta Metall. 33, 397 (1985).
9. G. Ananthakrishna and M. C. Valsakumar, J. Phys. D 15, L171 (1982).
10. J. Phys. DThe basic model was formulated in G. Ananthakrishna and D. Sahoo, 14, 2081 (1981).
11. Non Linear Phenomena in Materials Science, Solid State Phenomena Vols. 3 and 4, edited by L. P. Kubin and G. Martin (Trans Tech, Switzerland, 1988), and references therein.
12. Non Linear Phenomena in Materials Science II, edited by G. Martin and L. P. Kubin (Trans Tech, Zurich, 1992), and references therein.
13. Non Linear Phenomena in Materials Science III, edited by G. Ananthakrishna, L. P. Kubin, and G. Martin (Scitec, Zurich, 1995), and references therein.
14. G. Ananthakrishna, C. Fressengeas, M. Grosbras, J. Vergnol, C. Engelke, J. Plessing, H. Neuhäuser, E. Bouchaud, J. Planes, and L. P. Kubin, Scr. Metall. Mater. 32, 1731 (1995).
15. G. Ananthakrishna and S. J. Noronha, in Nonlinear Phenomena in Materials Science III (Ref. 11).
16. S. J. Noronha, G. Ananthakrishna, L. Quaouire, C. Fressengeas, and L. P. Kubin, Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, 2577 (1997).
17. S. J. Noronha, G. Ananthakrishna, L. Quaouire, and C. Fressengeas, Pramana, J. Phys. 48, 705 (1997).
18. G. Ananthakrishna, Scr. Metall. Mater. 29, 1183 (1993).
19. M. Bekele and G. Ananthakrishna, Phys. Rev. E 56, 6917 (1997).
20. M. Bekele and G. Ananthakrishna, Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, 141 (1998).
21. D. Maugis, J. Mater. Sci. 20, 3041 (1985).
22. Physics of Sliding Friction, Vol. 311 of NATO Advanced Study Institute, Series E: Applied Sciences, edited by B. N. J. Pearson and E. Tossatti (Kluwer Academic Publishers, Dordrecht, 1996).
23. A. Rosen and S. R. Bodner, J. Mech. Phys. Solids 15, 47 (1967).
24. L. P. Kubin and Y. Estrin, J. Phys. (France) 47, 497 (1986).
25. P. Penning, Acta Metall. 20, 1169 (1972).
26. V. Jeanclaude and C. Fressengeas, C. R. Acad. Sci., Ser. II: Mec., Phys., Chim., Sci. Terre Univers 316, 816 (1993).
27. M. A. Lebyodkin, Y. Brechet, Y. Estrin, and L. P. Kubin, Phys. Rev. Lett. 74, 4758 (1995).
28. H. Neuhäuser, in Dislocations in Solids, edited by F. R. N. Nabarro (North-Holland, Amsterdam, 1993).
29. A. Arneodo, F. Argoul, J. Elezgaray, and P. Richetti, Physica D 62, 134 (1993).
30. M. T. M. Koper, P. Gaspard, and J. H. Sluyters, J. Chem. Phys. 97, 8250 (1992).
31. D. Barkley, J. Chem. Phys. 89, 5547 (1988).
32. M. J. B. Hauser and L. F. Olsen, J. Chem. Soc., Faraday Trans. 92, 2857 (1996).
33. B. Deng, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 823 (1994).
34. S. Rajesh and G. Ananthakrishna, Physica D (to be published).
35. O. E. Rössler, Z. Naturforsch. A 31A, 259 (1976).
36. L. P. Kubin and Y. Estrin, Scr. Metall. Mater. 23, 815 (1989).
37. G. Ananthakrishna and H. Ramachandran, in Nonlinearity and Breakdown in Soft Condensed Matter, Vol. 437 of Lecture Notes in Physics, edited by K. K. Bardhan, B. K. Chakrabarti, and A. Hansen (Springer-Verlag, Heidelberg, 1994).
38. F. Heslot, T. Baumberger, B. Perrin, B. Caroli, and C. Caroli, Phys. Rev. E 49, 4973 (1994).
39. See C. Caroli and P. Noziers, in Physics of Sliding Friction (Ref. 20).
40. G. Ananthakrishna, in Nonlinearities in Complex Systems, edited by S. Puri and S. Dattagupta (Narosa Publishing House, New Delhi, 1997).
41. A. Milik, P. Szmolyan, H. Löffelmann, and E. Gröller, Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, 505 (1998).
42. W. Eckhaus, Lect. Notes Math. 905, 432 (1983).