Polynomial vs. Mechanism-Based Response Surface Analysis of the Thermomechanical Treatment of Al-Sn Alloys

Abstract:

The effects of strain, annealing time and temperature during the processing of an Al-Sn-based triboalloy were researched by response surface analysis. A second-degree polynomial in strain-time-temperature space was compared to a formulation based on generally accepted physical models for recrystallisation, recovery and grain growth, using the rule of mixtures for a microstructure consisting of recovered, recrystallised and second-phase grains. The polynomial approach provides interesting information on the role of rolling reduction in the optimisation of the alloy. The mechanism-based approach yields higher precision with less fitting parameters and provides insight into the relative importance of the physical phenomena involved in the processing of an alloy which has rarely been studied from the viewpoint of physical metallurgy.

• Periodical: Materials Science Forum (Volumes 638-642)
• Pages: 321-326
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.638-642.321
• Online since: January 2010
• Authors: Rafael Schouwenaars, H. A. Cortéz, V. H. Jacobo, A. Ortiz
• Keywords: Grain Growth, Recovery, Recrystallization, Response Surface, Two-Phase Alloy

References

[1] R. Schouwenaars, J. A. Torres, V. H. Jacobo and A. Ortiz: Mater Sci Forum 539-543 (2007) 317-322.

[2] R. Schouwenaars, V.H. Jacobo, A. Ortiz. Wear 263 (2007) 727-735.

[3] Cahn, R.W., Recovery and Recrystallization, in Physical Metallurgy, R.W. Cahn and P. Haasen, eds. Elsivier Science Publishers, (1983).

[4] Humphreys, F.J. and Hatherly, M. Recrystallisation and related annealing phenomena. Elsevier Science, Netherlands, (1995).

[5] Martin, J.W., Dohery, R.D. cantor, B. Stability of microstructure in metallic systems. Cambridge University press, Cambridge, GB, (1997).

[6] Doherty, R.D., Hughes, D.A., Humphreys, F.J., Jonas, J.J., Juul Jensen, D., Kassner, M.E., King, W.E., McNelly, T.R., McQueen, H.J. Rollet, A.D. Mater. Sci. Eng. A238 (1997) 219.

[7] Wang, Y.M., Ma, E. Acta Mater. 52 (2004) 1699.

[8] Montgomery, D.A. Design and analysis of experiments. John Wiley & Sons, New York, (1996).

[9] Long, J.B. and Hampshire, W. Tin. In: Metals Handbook, 10th ed., Vol 2. ASM International, (1990).

[10] Kocks, U.F. and Mecking, H. Prog. mater. sci. 48 (2003) 171-273.

[11] Hall, E. O., Proc. R. Soc. Lond., 1951, B64, 474.

[12] Petch, N. J., J. Iron Steel Inst., 1953, 174, 25.

[13] Hansen N. Materials Science and Engineering A 409 (2005) 39-45.

[14] Kuhlmann, D. Z. fur. Phys. 124 (1948), 468.

[15] Cottrel, A.H. and Aytekin, V., J. Inst. Metals 77, (1950) 389.

[16] Furu, T., Marthinsen, K and Nes, E. Mater. sci. Tech. 6 (1990) 1093.

[17] Vandermeer, R.A. and Rath, B.B. Metall Trans A, 20A (1989) 391.

[18] Johnsonn, W.A. and Mehl, R.F. Trans. Metall. Soc. A.I.M.E. 135 (1939) 416.

[19] Avrami, M. J. Chem. Phys 7, (1939) 1103.

[20] Kolmogorov, A.N. Izv. Akad. Nauk USSR-Ser-Matemat. 1 (3) (1937), 355.

[21] Burke, J.E. and Turnbull, D. Prog. Metal. Phys. 3 (1952), 220.