Abstract
Many formulas have been developed to describe the mechanical properties of various microstructures, but there have been relatively few attempts to combine such formulations directly with multicomponent phase diagram calculations obtained by the CALPHAD technique. This paper describes some of the techniques used in developing such a combined approach as part of a more comprehensive materials property program (MPP). The basic requirement is to describe the mechanical properties of the overall alloy by determining the effect of each solute, and the grain size, on the mechanical properties of the various phases in a multicomponent system. As some of the coefficients are not readily available, methods have to be evolved that echo problems already faced by the CALPHAD community with respect to characterizing the thermodynamics of metastable phases. It will be shown how the inter-relation of various mechanical properties, such as yield strength and hardness, can also be used to produce self-consistent data. The promising results obtained for dual-phase materials can be considered a firm foundation for future work on more complex systems.
Similar content being viewed by others
References
C.E. Lacy and M Gensamer: Trans. ASM, 1944, vol. 32, pp. 88–105.
D. Tabor: in The Hardness of Metals, W. Jackson, H. Frohlich, and N.F. Mott, eds., Oxford University Press, Oxford, United Kingdom, 1951, pp. 67–114.
W.P. Rees, B.E. Hopkins, and H.R. Tipler: J. Iron Steel Inst., 1954, vol. 177, pp. 93–110.
W.H. Graft, D.W. Levinson, and W. Rostoker: Trans. ASM, 1956, vol. 49, pp. 263–79.
T.E. Tietz and J.W. Wilson: Behaviour and Properties of Refractory Metals, Edward Arnold Ltd., London, 1965, pp. 64–75.
K.J. Irving, T. Gladman, and F.B. Pickering: J. Iron Steel Inst. 1969, vol. 207 (7), p. 1017.
E.O. Hall: Yield Point phenomena in Metals and Alloys, Macmillan and Co. Ltd., London, 1970, p. 38.
E.S. Fisher: in Physics of Solution Strengthening, E.W. Collings and H.L. Giegel, eds., Plenum Press, New York, NY, 1975, pp. 199–233.
F.B. Pickering: A Metals Science Source Book, ASM/The Metals Society, London, 1979, pp. 1–42.
T. Gladman and F.B. Pickering: in Yield, Flow and Fracture of Polycrystals, T.N. Baker, ed., Applied Science Publishers, London, 1983, p. 141.
E.W. Collins: in The Physical Metallurgy of Titanium Alloys, E.W. Collins, ed., ASM, Materials Park, OH, 1984, pp. 115–30.
N.C. Elfer and S.M. Copley: in Titanium Science and Technology., G. Lutjering, U. Zwicker, and W. Bunk, eds., DGM, Oberusel, 1985, p. 1789.
Y. Mishima, S. Ochiai, N. Hamao, M. Yodogawa, and T. Suzuki: Trans. Jpn. Inst. Met., 1986, vol. 27 (9), pp. 656–64.
A.P. Miodownik: in Computer Aided Innovation of New Materials II, M. Doyama, J. Kihara, M. Tanaka, and R. Yamaoto, eds., Elsevier, New York, NY, 1993, pp. 689–94.
Z. Fan, P. Tsakiropoulos, P.A. Smith, and A.P. Miodownik: Phil. Mag. A, 1993, vol. 67 (2), pp. 515–31.
Z. Fan: Scripta Metall. Mater., 1993, vol. 29, pp. 1427–32.
J. Charles: Proc. Conf. “Duplex Stainless Steels,” Glasgow, Scotland, 1994, Keynote paper K1.
Z. Fan, P. Tsakiropoulos, and A.P. Miodownik: J. Mater. Sci., 1994, vol. 29, pp. 141–50.
E. Hämäläinen, A. Laitinen, and H. Hänninen: Proc. Conf. “Duplex Stainless Steels,” Glasgow, Scotland, 1994, paper no. 122.
Y. Tomota, T. Ohnuki, and M. Umemoto: Symp. on Materials Science, Riso, 1994, pp. 595–600.
P.J. Craievich and J.M. Sanchez: Comput. Mater. Sci., 1997, vol. 8, pp. 92–99.
G. Grimwall: Ber. Bunsenges. Phys. Chem, 1998, vol. 102 (9), pp. 1083–87.
N. Saunders and A.P. Miodownik: CALPHAD, R.W. Cahn, ed., Pergamon Press, New York, NY, 1998, p. 479.
Advanced Materials & Processes, M.W. Hunt, ed., ASM International, Materials Park, OH, 1999, vol. 156 (6), pp. 33–86.
B.L. Ferguson, A. Freborg, and G.J. Petrus: Advanced Materials & Processes, ASM International, Materials Park, OH, 2000, vol. 158 (2), p. 31.
A.P. Miodownik and N. Saunders: “Variation of Elastic Moduli with Composition in Titanium Alloys,” Paper presented at Calphad (XXIX), Boston, MA, June 2000.
N. Saunders, S. Kucherenko, X. Li, A.P. Miodownik, and J.-P. Schille: Conf. on User Aspects of Phase Diagrams, Sendai, Sept. 2000.
N. Saunders: “Fe-DATA (ver. 3) a Thermodynamic Database for Calculations of Fe-Based Alloys,” Thermotech Ltd., Surrey Technology Centre, The Surrey Research Park, Surrey GU2 7YG, United Kingdom.
Y.L. Shen, E. Fishencord, and N. Chawla: Scripta Mater., 2000, vol. 42, pp. 427–32.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Li, X., Miodownik, A.P. & Saunders, N. Simultaneous calculation of mechanical properties and phase equilibria. JPE 22, 247–253 (2001). https://doi.org/10.1361/105497101770338725
Received:
Issue Date:
DOI: https://doi.org/10.1361/105497101770338725