Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-25T17:43:57.258Z Has data issue: false hasContentIssue false
  • English
  • Français

Amplitude Equation for a Dynamic Strain Aging Model: Beyond Linear Stability Analysis of Serrated Flow in Metallic Alloys

Published online by Cambridge University Press:  21 March 2011

Sergey N. Rashkeev ,
Michael V. Glazov ,
Frédéric Barlat  and
Daniel J. Lege
Sergey N. Rashkeev
Affiliation:
Dept. of Physics and Astronomy, Vanderbilt University, Nashville, TN 37235, USA
Michael V. Glazov
Affiliation:
Alcoa Technical Center, 100 Technical Drive, Alcoa Center, PA 15069-0001, USA
Frédéric Barlat
Affiliation:
Alcoa Technical Center, 100 Technical Drive, Alcoa Center, PA 15069-0001, USA
Daniel J. Lege
Affiliation:
Alcoa Technical Center, 100 Technical Drive, Alcoa Center, PA 15069-0001, USA
Get access

Abstract

A method for construction of “processing windows” to avoid negative strain rate sensitivity and associated serrated flow in some aluminum alloys is described. The method is based on the amplitude Ginzburg-Landau (GL) equations and analysis of bifurcation diagrams. The mathematical technique developed in the present work was applied to a specific aluminum alloy, Al-0.4%Mg-0.2%Si considered earlier in the literature [1-3], and yielded good results in terms of predicting the negative strain rate sensitivity regions in the “strain rate “temperature” parameter space. Using the GL-analysis it was demonstrated that even though the instability area is located in the region of intermediate strain rates, a qualitative difference exists between the areas of (relatively) fast and (relatively) slow strain rates. In the first case the dynamic behavior of the system is supercritical, in the second case it is subcritical. The second case is highly undesirable because it causes a sudden onset of stable stress serrations that are difficult to suppress, while in the first case the development of instability is gradual and, consequently, more easily controllable.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 652: Symposium Y – Influences of Interface & Dislocation Behavior on Microstructure Evolution , 2000 , Y4.6
Copyright
Copyright © Materials Research Society 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

LITERATURE

1. Ling, C.P. and McCormick, P.G., Acta Metall., 38, 2631–2635 (1990).Google Scholar
2. McCormick, P.G., Acta Metall., 36, 3061 (1988).Google Scholar
3. Mesarovic, S.Dj., J. Mech. Phys. Solids, 43, No.5, 671–700 (1995).Google Scholar
4. Zaiser, M., Glazov, M.V., Lalli, L.A. and Richmond, O., Comp. Mat. Sci., 15, 35–49 (1999).Google Scholar
5. Glazov, M.V., Lege, D.J., Barlat, F. and Richmond, O., Met. Mat. Trans. A, 30, 387–397 (1999).Google Scholar
6. Estrin, Yu., Kubin, L.P. and Aifantis, E.C., Scripta Metall. Mater., 29, 1147 (1993).Google Scholar
7. Neuhauser, H. and Hampel, A., Scripta Metall. Mater., 29, 1151 (1993).Google Scholar
8. Kubin, L.P., In: Computer Simulations in Materials Science, ed. Kirchner, H.O. et al. , (IBM, The Netherlands, 1996) p.273.Google Scholar
9. Kubin, L.P., Estrin, Yu., Acta Metall., 33, 397 (1985)Google Scholar
10. Zbib, H.M. and Aifantis, E.C., Scripta Metall., 22, 1331 (1988).Google Scholar
11. Ananthakrishna, G., Sahoo, D., J. Phys. D: Appl. Phys., 14, 2081 (1981).Google Scholar
12. Ananthakrishna, G., Scripta Metall. Mater., 29, 1183 (1993).Google Scholar
13. Frost, H.J. and Ashby, M.FG., Deformation Mechanism Maps, (Pergamon Press, New York, 1982).Google Scholar
14. Haken, H., Advanced Synergetics (Springer-Verlag Berlin 1983).Google Scholar
15. Cross, M.C. and Hohenberg, P.C., Rev. Mod. Phys., 65, 851 (1993).Google Scholar
16. Haken, H., Synergetics (Springer-Verlag, Berlin 1978).Google Scholar
17. Bekele, M. and Ananthakrishna, G., Phys. Rev. E, 56, 6917 (1997).Google Scholar
18. Richter, P.H., Procaccia, I. and Ross, J., In: Advances in Chemical Physics, ed. Prigogine, I. and Rice, S.A., vol. XLIII, (J. Wiley and Sons, New York, 1980) p.217.Google Scholar