Abstract
In this work, the Fisher’s formalism to describe the relationship between the volume fraction and the number per unit volume of martensite units is revisited and modified to take into consideration autocatalysis, the martensite morphology and the leading role of the midrib in the genesis of the microstructure. The modified model can predict the variation of the mean volume of martensite over a significant range of fraction transformed. Validation was accomplished using data available in the literature.
Similar content being viewed by others
References
J.C. Fisher, J.H. Hollomon, and D. Turnbull: Trans. AIME, 1949, vol. 85, pp. 691-70.
M.G. McMurtrie and C.L. Magee: Metall. Trans., 1970, vol. 1, pp. 3185-91.
J.C. Bokros and E.R. Parker: Acta Metall., 1963, vol. 11, pp. 1291-1301.
P.-H. Chang, P.G. Winchell, and G.L. Liedl: Metall. Trans. A, 1983, vol. 14A, pp. 163-73.
M.G. Mendiratta and G. Krauss: Metall. Trans., 1972, vol. 2, pp. 1755-60.
R.F. Bunshah and R.F. Mehl: Trans. AIME, 1953, vol. 197, pp. 1251-58.
J.R.C. Guimarães and J.C. Gomes: Solid-Solid Phase Transformation, Eds. H.I. Aaronson, D.E. Laughlin, R.F. Sekerka, and C.M. Wayman, TMS-AIME Warrendale, PA, 1982, pp. 1415–19.
V. Raghavan: Scripta Metall., 1997, vol. 36, pp. 995-99.
J.R.C. Guimarães and J.C. Gomes: Metall. Trans. A, 1979, vol. 10A, pp. 109-12.
M.F. Lin, G.B. Olson, and M. Cohen: Metall. Trans A, 1992, vol. 23A, pp. 2987-97.
J.R.C. Guimarães and J.C. Gomes: Acta Metall., 1978, vol. 26, pp. 1591-96.
J.R.C. Guimarães: Mater. Sci. Eng. A, 2008, vol. 476, pp. 106-11.
V. Raghavan: Acta Metall., 1969, vol. 17, pp. 1299-1303.
W.Y.C. Chen and P.G. Winchell: Metall. Trans. A, 1976, vol. 7A, pp. 1177-82.
J.R.C. Guimarães and P.R. Rios: J. Mater. Sci, 2009, vol. 40, pp. 2264-72.
A.N. Kolmogorov: Izv. Akad. Nauk. USSR-Ser. Matemat., 1939, vol. 1, pp. 355-59.
W.A. Johnson and R.F. Mehl: Trans. AIME, 1939, vol. 135, pp. 416-41.
M.J. Avrami: J. Chem. Phys., 1941, vol. 9, pp. 177-84.
J.R.C. Guimarães and P.R. Rios: Metall. Mater. Trans. A, 2010, vol. 41A, pp. 1928-35.
D.J. Rowenhorst and A.C. Lewis: JOM, 2011, vol. 63, pp. 53-56.
Special thanks to Professor H. Goldenstein of the University of São Paulo for his assistance with the bibliography. P.R. Rios is grateful to Conselho Nacional de Desenvolvimento Científico e Tecnológico, CNPq, and to Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro, FAPERJ, for financial support.
Author information
Authors and Affiliations
Corresponding author
Additional information
Manuscript submitted May 17, 2011.
Rights and permissions
About this article
Cite this article
Guimarães, J.R.C., Rios, P.R. Revisiting Fisher’s Analysis of the Martensite Microstructure. Metall Mater Trans A 42, 2937–2940 (2011). https://doi.org/10.1007/s11661-011-0840-7
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11661-011-0840-7