High-order amplitude equation for steps on the creep curve

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

Volumn 55, Issue 6, 1997, Pages 6917-6927

  Bekele, Mulugeta ^a   Ananthakrishna, G ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001074763     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.6917     Document Type: Article

References (46)

1. B. J. Brindley and P. J. Worthington, Metall. Rev. 145, 101 (1970).
2. S. R. Bodner and A. Rosen, J. Mech. Phys. Solids 15, 63 (1967); JMPSA8
3. P. Penning, Acta Metall. 20, 1169 (1972).AMETAR
4. K. Chihab, Y. Estrin, L. P. Kubin, and J. Vergnol, Scr. Metall. 21, 203 (1987).SCRMBU
5. E. O. Hall, Yield Point Phenomena in Metals and Alloys (Macmillan, London, 1970);
6. J. D. Lubahn and R. P. Felgar, Plasticity and Creep of Metals (Wiley, New York, 1961).
7. T. L. Da Silveria and S. N. Monteiro, Metall. Trans. A 10, 1795 (1979); MTTABN
8. L. N. Zagorukuyko, A. I. Osetskiy, and U. P. Soldatov, Phys. Met. Metallogr. 43, 156 (1977).PHMMA6
9. V. Stejskalova, M. Hammersky, P. Luckac, P. Vostry, and B. Spuril, Czech. J. Phys., Sect. B 31, 195 (1981).
10. A. H. Cottrell, Philos. Mag. 44, 829 (1953).PHMAA4
11. P. G. McCormick, Acta Metall. 20, 351 (1972).AMETAR
12. Y. Estrin and L. P. Kubin, J. Mech. Behavior Mater. 2, 255 (1989);
13. L. P. Kubin and Y. Estrin, Acta Metall. 38, 697 (1990).
14. See, for instance, several articles in Non Linear Phenomena in Materials Science I, edited by L. P. Kubin and G. Martin (Trans Tech, Zürich, 1988), and references therein.
15. G. Ananthakrishna and D. Sahoo, J. Phys. D 14, 2081 (1981); JPAPBE
16. M. C. Valsakumar and G. Ananthakrishna, 16, 1055 (1983).
17. G. Ananthakrishna and M. C. Valsakumar, J. Phys. D 15, L171 (1982).JPAPBE
18. G. Ananthakrishna and M. C. Valsakumar, Phys. Lett. A 95, 69 (1983); PYLAAG
19. G. Ananthakrishna and T. M. John, in Directions in Chaos, edited by Hao Bai-lin (World Scientific, Singapore, 1990), Vol. 3, p. 133.
20. G. Ananthakrishna, Scr. Metall. 29, 1185 (1993).
21. G. Ananthakrishna et al., Scr. Metall. 32, 1731 (1995).SCRMBU
22. G. Ananthakrishna and S. J. Noronha, in Non Linear Phenomena in Materials Science III, edited by G. Ananthakrishna, L. P. Kubin, and G. Martin (Scitec, Zürich, 1995), p. 277;see also L. Quaouire and C. Fressengeas, ibid., p. 293.
23. S. Venkadesan, M. C. Valskumar, K. P. N. Murthy, and S. Rajasekar, Phys. Rev. E 54, 611 (1996).PLEEE8
24. S. J. Noronha, G. Ananthakrishna, L. Quaouire, C. Fressengeas, and L. P. Kubin, Int. J. Bifurcation Chaos Appl. Sci. Eng. (to be published);
25. S. J. Noronha, G. Ananthakrishna, L. Quaouire, and C. Fressengeas, Pramana J. Phys. 48, 705 (1997).PRAMCI
26. G. Nicolis and I. Prigogine, Self Organization in Non-equilibrium Systems (Wiley, New York, 1977).
27. H. Haken, Advanced Synergetics: Instability Hierarchies of Self-Organizing Systems and Devices (Springer-Verlag, Berlin, 1983).
28. G. Ananthakrishna and D. Sahoo, J. Phys. D 14, 699 (1981).JPAPBE
29. G. Ananthakrishna and D. Sahoo, J. Phys. D 15, 1439 (1982).JPAPBE
30. P. Hahner, Mater. Sci. Eng. 164, 23 (1993).
31. Mulugeta Bekele and G. Ananthakrishna, Int. J. Bifurcation Chaos Appl. Sci. Eng. (to be published).
32. T. Taniuti and C. C. Wei, J. Phys. Soc. Jpn. 24, 941 (1968).JUPSAU
33. A. C. Newell and J. A. Whitehead, J. Fluid Mech. 38, 279 (1968).JFLSA7
34. Y. Kuramoto and T. Tsuzuki, Prog. Theor. Phys. 52, 1399 (1974).PTPKAV
35. H. Mashiyama, A. Ito, and T. Ohta, Prog. Theor. Phys. 54, 1050 (1975).PTPKAV
36. P. H. Richter, I. Procaccia, and J. Ross, in Advances in Chemical Physics, edited by I. Prigogine and S. Rice (Wiley-Interscience, New York, 1981).
37. L. Y. Chen, N. Goldenfeld, and Y. Oono, Phys. Rev. E 54, 376 (1996).PLEEE8
38. J. Carr, Applications of Center Manifold Theory (Springer-Verlag, Berlin, 1981).
39. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields Applied Mathematical Sciences, Vol. 42 (Springer-Verlag, Berlin, 1983).
40. H. Troger and A. Steindl, Nonlinear Stability and Bifurcation Theory (Springer-Verlag, Wien, NY, 1991).
41. N. Goldenfeld, O. Martin, and Y. Oono, J. Sci. Comput. 4, 355 (1989).
42. T. Kunihiro, Prog. Theor. Phys. 94, 503 (1995); PTPKAV
43. 97, 179 (1997).
44. J. D. Murray, J. Chem. Phys. 61, 3160 (1974).JCPSA6
45. H. Alexander, in Dislocations in Solids, edited by F. R. N. Nabarro (North-Holland, Amsterdam, 1986), p. 151.
46. L. P. Kubin and Y. Estrin (organizers), Scr. Metall. 29, 1147 (1993). SCRMBU