Abstract
An anisotropic distribution of coherent precipitate variants may result in anisotropic behavior of a two-phase material. The distribution of the coherent precipitate variants can be controlled using constrained aging. This article reports our experimental and computational studies of the stress effect on the spatial arrangement of coherent precipitate variants. The research demonstrates that the anisotropic elastic coupling between applied stress/strain and the local strain caused by the lattice mismatch between different phases makes the growth of differently oriented phase variants selective. Ti11Ni14 precipitation in a Ti-51.5at.%Ni alloy was investigated as a particular example. It was demonstrated that the constrained aging strongly affected the distribution of Ti11Ni14 precipitate variants. The resulting selective variant growth of Ti11Ni14 precipitates can be predicted based on the symmetry analysis and the elastic energy calculation.
Similar content being viewed by others
Cited References
R.E. Smallman,Modern Physical Metallurgy, 4th ed., Butterworth & Co., Ltd, London (1985).
C.T. Sims and W.C. Hagel,The Supemlhys, John Wiley & Sons, (1972).
J.W. Martin,Micromechanisms in Particle-Hardened Alloys (1980).
S.M. Copley,Alloy and Microstructural Design, J.K. Tian and G.S. Ansell, Ed., Academic Press (1976).
D.Y. Li,Scr. Metall. Mater, 34, 195 (1995).
R. Kainuma, M. Matsumoto, and T. Honma,Proc. ICOMAT-86, 717(1987).
R. Portier and D. Gratias,J. Phys. (France), Colloque C4, supplement to No. 12, Tome 43, C4–17(1982).
J.W. Stewart, R.C. Thomson, and H.K.D.H. Bhadeshia,J. Mater. Sci., 29, 6079–6084 (1994).
A.G. Khachaturyan,Theory of Structural Transformations in Solids, John Wiley & Sons, New York, (1983).
K. Chandra and G.R. Purdy,J. Appl. Phys., 39, 2176 (1968).
G. Burns and A.M. Glazer,Space Group for Solid State Scientists, 2nd ed., Academic Press, Boston (1990).
M. Nishida, C.M. Wayman, R. Kainuma, and T. Honma,Scr. Metall. Mater., 20, 899 (1986).
T. Saburi, S. Nenno, and T. Fukuda,Proc. Xlth Int. Conf. on Electron Microscopy, Kyoto, 1631 (1986).
J.D. Eshelby,Proc. Roy. Soc, A241, 376 (1957).
J.D. Eshelby,Proc. Roy. Soc, A252, 561 (1959).
L.J. Walpole,Proc. Roy. Soc. (A), 300, 270 (1967).
N. Kinoshita and T. Mura,Phys. Status Solidi (a), 5, 759 (1971).
R.J. Asaro and D.M. Barnett,J. Mech. Phys. Solids, 23, 11 (1975).
T. Mura, T. Mori, and M. Kato,J. Mech. Phys. Solids, 24, 305 (1976).
J.K. Lee, D.M. Barnett, and H.I. Aaronson,Metall. Trans., 8A, 963 (1977).
T. Mori, P.C. Cheng, M. Kato, and T. Mura,Acta Metall., 26, 1435 (1978).
A.G. Khachaturyan,Sov. Phys. Solid State, 8, 2163 (1967).
A.G. Khachaturyan and G.A. Shatalov,Sov. Phys. JETP, 29, 557 (1969).
A.G. Khachaturyan, S. Semenovskaya, and T. Tsakalakos,Phys. Rev. B, Condens. Matter, 52, 1 (1995).
D.Y. Li and L.Q. Chen,Acta Mater., 45, 2435(1997).
D.A. Porter and K.E. Easterling,Phase Transformations in Metals and Alloys, Van Nostrand Reinhold (1989).
O. Mercier and K.N. Melton,J. Appl. Phys., 51(3), 1833 (1980).
F.I. Fedorov,Theory of Elastic Waves in Crystals, Plenum Press, NewYork(1968).
T. Mura,Micromechanics of Defects in Solids, Martinus Nijhoff Publishers, The Hague, The Netherlands, 151 (1982).
D.Y. Li and L.Q. Chen,Acta Mater., 45, 471 (1997).
Y. Wang, L.Q. Chen, and A.G. Khachaturyan, “Modeling of Dynamical Evolution of Micro/Mesoscopic Morphological Patterns in Coherent Phase Transformations,”Computer Simulation in Materials Science, Nano/Meso/Macroscopic Space and Time Scales, NATO Advanced Study Institute Series, H.O. Kirchner et al., Ed., Kluwer Academic Publishers, Dordrecht, 325 (1996).
D.Y. Liand L.Q. Chen, Acta Mater., 46, 639, 2573(1998).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Li, D.Y., Chen, L.Q. Selective variant growth of coherent precipitate under external constraints. JPE 19, 523–528 (1998). https://doi.org/10.1361/105497198770341707
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1361/105497198770341707