Abstract
When studying the phase changes process in a rolled AA8011 alloy using DSC, we find that the peaks associated with phase precipitation under this microstructural condition are different from those obtained in homogenized microstructures. The differences observed are attributable, first, to the recovery process occurring at temperatures below 423 K (150 °C), which interacts with the precipitation of Si-rich precipitates or with Guinier–Preston zones both coexistent in that temperature range; and second, to the recrystallization above 473 K (200 °C), which coexists with precipitation of the α-AlFeSi phase. In this work, the precipitation and recovery–recrystallization kinetics are experimentally obtained and deconvoluted in peaks characteristic for each of the mechanisms involved; i.e., precipitation of GP zones, recovery, precipitation of α phase, and recrystallization. The deconvolution is achieved using functions of Gauss, Weibull, and Fraser–Suzuki; and the characterization of each reaction deconvoluted is realized through both Jhonson–Melh–Avrami–Erofeev–Kolmorokov kinetic models and Sesták–Berggren combined kinetic model. The kinetic study evinces that in addition to the expected reactions, other reactions, necessary for good experimental adjustment, appear. An isoconversional study is undertaken to numerically evaluate the kinetic triplet of every process.
Similar content being viewed by others
References
F.J. Humphreys and M. Hatherly: Recrystallization and Related Annealing Phenomena, 2ed. Pergamon Press Oxford,.England, 2004, pp.285-319.
P.R. Rios, F. Siciliano Jr., H.R. Zschommler Sandim, R.L. Plaut and A.F. Padilha: Materials Research, 2005, vol. 8. pp. 225-238.
E.P.Rocha Lima, R.A. Sanguinetti Ferreira. N. Freitas de Quadros and Y.P. Yadava: Rev. Iber. Ing. Mec. 2006, Vol. 10, pp.131-137.
A.M. Gokhale, C.V. Iswaran and R.T. DeHoff: Metallurgical Transactions A, 1979, vol.10A: 1239-1245.
R.D. Doherty, D.A Hughes, F.J. Humphreys, J.J. Jonas, D. J. Jenson; M.E Kassner, W.E King, T.R. McNelley, H.J. McQueen and A.D. Rollett: Materials Science and Engineering A.,1997, vol. A238, pp. 219–274.
J.E. Hatch: Aluminium: Properties and Physical Metallurgy, ASM International, Materials Park, 1984, pp. 105–33.
F. Haessner: in Systematic Survey and Basic Problems of Recrystallization in Recrystallization of Metallic Materials, F. Haessner, ed., Dr. Riederer Verlag, Stuttgart, 1978, pp. 1–10.
M. Verdier, J. A. Saeter, M. Janecek, Y. Brechet, P. Guyot, D. Duly, E. Nes and R. Ørsund: Materials Science Forum, 1996, Vol. 217-222, pp. 435-440.
M. Verdier, I.Groma, ¨L. Flandin, J. Lendvai, Y. Brechet and P. Guyot: Scripta Materiala, 1997, Vol. 37, pp. 449-454.
M. Verdier, M. Janecek, Y. Bréchet and P. Guyot : Mat. Sci. Eng.,1998, Vol. A248 pp.187-197.
M. Slámová, V. Ocenásek and G. Vander Voort: Materials Characterization, 2004, vol. 52, pp.165– 177.
H.J. McQueen and W. Blum: Proceedings of the 6th International Conference on Aluminum Alloys (ICAA6), Japan Institute of Light Metals, Tokyo, Japan, 1998, vol. 1, pp. 99–112.
J.A. Saeter, B. Forbord, H.E. Vatne, and E. Nes: Proceedings of the 6th International Conference on Aluminum Alloys (ICAA6), Japan Institute of Light Metals, Tokyo, Japan, 1998, vol. 1, pp. 113–26.
F.J. Humphreys: Mater Sci. Technol., 1999, vol.15, pp.37– 44.
E.S. Puchi, B. Fajardo, and J.V. Valera: Proceedings of the 4th International Conference on Aluminum Alloys, 1994, vol. 1, pp. 18–25.
W. H. Hildebrandt: Metall. Trans. A. 1979, vol. 10A, pp.1045-1948.
N. J. Luiggi: Z. Metallkunde, 1997, vol. 88 pp. 728-732.
N. J. Luiggi: Metall. Mat. Trans. A. 1998, vol. 29A, pp. 2669-2677.
E.P.Rocha Lima: M.Sc. Thesis, Universidade Federal de Pernambuco-Brasil, 2002, pp. 72–74.
S. Komatsu, T. Ikeda, T. Muramatsu and M. Matsuo: Eng. Materials, 1990, vol. 44–45, pp.31-56.
C. García–Cordovilla and E. Louis: J. Mater. Sci., 1986, vol. 21, pp. 971-979.
N. J. Luiggi: Metall. Mater. Trans. A, 2010, vol. 41A, pp. 3271-75.
N. Luiggi, M. Valera, J. Prin and M. Linares: Acta Microscópica, 2013, vol. 22(1), 105-110.
N. Luiggi, M. Valera, J.P. Rodriguez, and J. Prin: J. Metall., 2014, vol. 2014, Article ID 345945.
Michel Perez, Olivier Lame and Alexis Deschamps: Advanced Engineering Materials, 2010, vol. 12, pp.433-446.
D. Rafaja: Materials Structure, 2000, vol. 7, pp. 43-51.
A. Rey, I. Casas, J. Giménez, J. Quiñones and J. de Pablo: Journal of Nuclear Materials, 2009, vol. 385, pp. 467–473.
G. Kitisy, J.M Gomez-Rosz and J. W. N Tuyn: J. Phys. D: Appl. Phys., 1998, vol.31,pp. 2636–2641.
N. Luiggi and A. Betancourt: Metall. Mater. Trans. B, 1994, vol. 25B, pp. 917-925.
N. Luiggi and A. Betancourt: Metall. Mater. Trans. B., 1994, vol. 25B, 927-935.
A. Perejón, P. E. Sánchez-Jiménez, J. M. Criado and L. A. Pérez-Maqueda: J. Phys. Chem. B, 2011, vol. 115, pp.1780–1791.
J.W. Christian: The Theory of Transformation in Metals and Alloys, 2nd edn., Pergamon Press, Oxford, 1975.
P.K. GALLAGHER (Editor): HANDBOOK OF THERMAL ANALYSIS AND CALORIMETRY SERIES. DEPARTMENT OF CHEMISTRY, OHIO STATE UNIVERSITY USA ELSEVIER-Amsterdam, 1998.
P. J. Haines (Editor): PRINCIPLES OF THERMAL ANALYSIS AND CALORIMETRY Edited by Oakland Analytical Services, Farnhurn, Surrey, U K, The Royal Society of Chemistry, 2002.
H. M. Heuvel and K. C. J. B. Lind: Anal. Chem., 1970, vol.42, pp.1044-48.
A. Kolmogorov: Akad. Nauk SSSR, Izv. Ser. Matem, 1937, vol.1, pp. 355-359.
W. A. Johnson and R. F. Mehl: Trans AIME, 1939, vol. 135, pp. 416-442.
M. Avrami: J. Chem. Phys., 1939, vol. 7(12), pp. 1103–12.
B.V. Erofeev: in Dispersity of Solid Phases in Connection with the Kinetics of Their Formation, Collected Works of the Belorussian Academy of Sciences, Institute of Chemistry, Academy of Sciences Press, Minsk, 1956, p. 13.
J. Sesták and G. Berggren: Thermochim. Acta, 1971, vol.3, pp. 1–12.
D. W. Henderson: J. Therm. Anal., 1979, vol. 15, pp. 325- 331.
M. P. Shepilov and D. S. Baik: J. Non-Cryst. Solids, 1994, vol. 171, pp. 141-156.
J. Málek : Thermochim. Acta, 1995, vol. 267, pp. 61-73.
J. Málek, Thermochim. Acta, 2000, vol. 355, pp. 239-53.
J. Šesták: Science of Heat and Thermophysical Studies: a generalized approach to thermal analysis. Elsevier, Amsterdam, 2005.
J. Šesták, A. Kozmidis-Petrović, and Ž. Živković: J. Min. Metall. Sect. B, 2011, vol. 47(2B), pp. 229–39.
R. Svoboda and J. Málek: J. Therm. Anal. Calorim, 2013, vol.114, pp. 473-482.
A.V. Oppenheim and R. Schafer: Discrete-Time Signal Processing. Prentice Hall, Upper Saddle River, 1989.
J. Mendel and C. S. Burrus: Maximum-Likelihood Deconvolution: A Journey into Model-Based Signal Processing. Springer-Verlag, New York, 1990.
H. Guo: IEEE Sign. Proc. Mag. 2011, vol28(9), pp. 134-137.
R.B. Abernethy: The New Weibull Handbook, 3rd edn, Gulf Publishing Company, Houston, 1999.
Svoboda R and J. Málek: J Therm. Anal. Calorim., 2013, vol.111, pp. 1045–56.
A.H.M. Hammad, K.A. Padmanabhan, G. Van Tendeloo and T.R. Anantharaman: Z. Metallkde., 1978, vol. 78, pp. 113-120.
K. Nakagawa, T. Kanadani, L. Anthony and H. Hashimoto: Materials Transactions, 2005, Vol. 46(4), pp. 779 – 783.
L.M. Egorova, B.N. Korchunov, V.N. Osipov, V.A. Bershtein, S.P. Nikanorov: Phys. Solid State, 2013, vol. 55(12), pp. 2549–53.
J. Sestack and J. Maleck: Sol. Sta, lonics, 1993, vol. 63-65, pp. 245-254.
T. J. Konno, M. Kawasaki and: K. Hiraga: Philosophical Magazine B., 2001, Vol. 81(11),pp. 1713-1724.
K. T. KASHYAP and P. G. KOPPAD: Bull. Mater. Sci.,2011, Vol. 34(7), pp. 1455–1458.
R. Vissers, M.A van Huis, J. Jansen, H.W. Zandbergen, C.D. Marioara and S.J. Andersen: Acta Mater.,2007, Vol. 55, p. 3815-3823.
Z. Liang: Doctoral Thesis. Technische Universität Berlin, 2012.
Y. Langsrud: Eng. Mat., 1990, Vol.44-45, pp. 95-116.
Y. Du, Y.A. Chang, B. Huang, W. Gong, Z. Jin, H. Xu, Z. Yuan, Y. Liu, Y.i He, F.-Y Xie: Mat. Sci. Engineer., 2003, vol. A363, pp. 140–151.
N.A. Belov, A.A. Aksenov, and D.G. Eskin: Iron in Aluminium Alloys: Impurity and Alloying Element, Taylor and Francis, London, 2002, p. 121.
T. Hehenkamp: J. Phys. Chem. Solids, 1994, vol.55, pp. 907-915.
P. Erhart, P. Jung, H. Schult, and H. Ullmaier: in Atomic Defects in Metals, Landolt-Bornstein, New Series, Group III, H. Ullmaier, ed., Springer-Verlag, Berlin, 1991, vol. 25.
M. J. Fluss, L. C. Smedskjaer, M. K. Chason, D. G. Legnini and R. W. Siegel: Phys. Rev. B, 1978, 17, 3444-3454.
L. L. Levenson: Appl. Phys. Lett., 1989, vol.55,pp. 2617-2619.
C. S. Ting Chang, Z. Liang, E.Schmidt and J. Banhart: Intern. J.Mater. Research, 2012, Vol. 103(8), pp. 955-961.
K.B Rundman, J.E Hilliard: Acta Metall., 1967, vol. 15(6), pp. 1025–1033.
K. Shen, Z.M. Yin, T. Wang: Mater. Sci. Engineer., 2008, vol. A 477, pp. 395–398.
H.J. Frost, M.F. Ashby: Deformation Mechanism Map, Pergamon Press, Oxford, 1982, p. 44.
E. Kovacs-Csétenyi, K. Banizs, N.Kalev: Eng. Mater., 1990, vol. 44-45, pp.181-188.
N. Luiggi: Metall. and Mater. Trans A.,2003, vol. 34A, pp .2679-2681.
H.E. Kissinger: Anal. Chem.,1957, vol. 29,pp. 1702-1706.
S. Vyazovkin, A.K. Burnham, J.M. Criado, L A. Pérez-Maqueda, C. Popescu and N. Sbirrazzuoli: Thermochim. Acta, 2011, vol. 520(1),pp. 1-19.
Acknowledgments
This work is supported by the Office of Academic Planning at the Universidad de Oriente through POA Project PN 5.5/2010. Our thanks go to Carlos Mota and his company Traduce for the translation of this manuscript.
Author information
Authors and Affiliations
Corresponding author
Additional information
Manuscript submitted August 14, 2014.
Appendix
Appendix
This Appendix presents Wi deconvolution parameters for each transfer function used, as described in the text. Table XII reports Wi values obtained for the experimental kinetic measurements at T < 423 K (150 °C), where the main reactions correspond to the precipitation of Guinier–Preston zones and to the restoration reaction. Table XIII presents the values obtained for the experimental kinetic for T > 473 K (200 °C). In this case, the main reactions are associated with both a phase precipitation and the recrystallization reaction. Note that the W1 parameter corresponds to the maximum temperature of the reaction, and its value changes when different reactions are involved in the total kinetic. Figure A1 shows comparatively different FTs involved in reproduction of the total kinetics in a homogenized sample heated at 10 °C/min.
Rights and permissions
About this article
Cite this article
Luiggi Agreda, N.J. Kinetic Analysis of Recovery, Recrystallization, and Phase Precipitation in an Al-Fe-Si Alloy Using JMAEK and Sesták–Berggren Models. Metall Mater Trans B 46, 1376–1399 (2015). https://doi.org/10.1007/s11663-015-0309-y
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11663-015-0309-y