Abstract
A strain response to the applied stress of domain structure formed by a displacive transformation confined within the previously formed precipitates of the precursor phase is investigated by using three-dimensional (3-D) phase field microelasticity modeling. It is shown that the initial domain structure within particles is rearranged upon application of the stress field and is restored upon removal of the stress. As a result, the macroscopic strain caused by the domain rearrangement is recoverable. The modeling also shows that the change of the domain structure and the resultant macroscopic strain strongly depend on the magnitude and direction of the applied stress. It is found that the effect of geometrical confinement within precipitates on the stress-accommodating domain structure is the origin of the restoring driving force to the initial domain configuration. A possible relevance of this confinement mechanism to the strain reversibility in some materials systems is discussed.
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K. Ullakko, J.K. Huang, C. Kantner, R.C. O’Handley, V.V. Kokorin: Appl. Phys. Lett., 1996, vol. 69, pp. 1966–68
S.E. Park, T.R. Shrout: J. Appl. Phys., 1997, vol. 82, pp. 1804–11
S.J. Murray, M. Marioni, S.M. Allen, R.C. O’Handley, T.A. Lograsso: Appl. Phys. Lett., 2000, vol. 77, pp. 886–88
R. Kainuma, Y. Imano, W. Ito, Y. Sutou, H. Morito, S. Okamoto, O. Kitakami, K. Oikawa, A. Fujita, T. Kanomata, K. Ishida: Nature, 2006, vol. 439, pp. 957–60
A.L. Roytburd, J. Slutsker: J. Appl. Phys., 1995, vol. 77, pp. 2745–50
R.C. O’Handley: J. Appl. Phys., 1998, vol. 83, pp. 3263–70
R.D. James, M. Wuttig: Philos. Mag. A , 1998, vol. 77, pp. 1273–99
A.A. Likhachev, K. Ullakko: Eur. Phys. J. B, 2000, vol. 14, pp. 263–67
P.J. Othen, M.L. Jenkins, G.D.W. Smith: Phil. Mag. A, 1994, vol. 70, pp. 1–24
A.G. Khachaturyan, D. Viehland: Metall. Mater. Trans. A, 2007, vol. 38A, pp. 2308–16
A.G. Khachaturyan, D. Viehland: Metall. Mater. Trans. A, 2007, vol. 38A, pp. 2317–28
A.E. Clark, J.B. Restoff, M. Wun-Fogle, T.A. Lograsso, D.L. Schlagel: IEEE Trans. Magn., 2000, vol. 36, pp. 3238–40
A.E. Clark, M. Wun-Fogle, J.B. Restoff, T.A. Lograsso, J.R. Cullen: IEEE Trans. Magn., 2001, vol. 37, pp. 2678–80
N. Srisukhumbowornchai, S. Guruswamy: J. Appl. Phys., 2001, vol. 93, pp. 5680–88
A.G. Khachaturyan, S.M. Shapiro, S. Semenovskaya: Phys. Rev. B, 1991, vol. 43, pp. 10832–10843
X.B. Ren, K. Otsuka: Nature, 1997, vol. 389, pp. 578–81
Y. Ni, Y.M. Jin, A.G. Khachaturyan: Acta Mater., 2007, vol. 55, pp. 4903–14
A.G. Khachaturyan: The Theory of Structural Transformations in Solids, Wiley & Sons, New York, NY, 1983, pp. 198–212
Y. Wang, A.G. Khachaturyan: Acta Mater., 1997, vol. 45, pp. 759–73
A.L. Roitburd: Sov. Phys. Solid State, 1969, vol. 10, pp. 2870–76
A.E. Clark, K.B. Hathaway, M. Wun-Fogle, J.B. Restorff, T.A. Lograsso, V.M. Keppens, G. Petculescu, R.A. Taylor: J. Appl. Phys., 2003, vol. 93, pp. 8621–23
M. Wuttig, L.Y. Dai, J. Gullen: Appl. Phys. Lett., 2002, vol. 80, pp. 1135–37
G. Petculescu, K.B. Hathaway, T.A. Lograsso, M. Wun-Fogle, A.E. Clark: J. Appl. Phys., 2005, vol. 97, p. 10M315-1–3
J. Kuwata, K. Uchino, S. Nomura: Jpn. J. Appl. Phys., 1982, vol. 21, pp. 1298–1302
S.E. Park, T.R. Shrout: IEEE Trans. Ultrason. Ferroelect. Freq. Contr., 1997, vol. 44, pp. 1140–47
G.A. Rossetti, W. Zhang, A.G. Khachaturyan: Appl. Phys. Lett., 2006, vol. 88, p. 072912-1–3
Acknowledgments
The financial support from the Office of Naval Research through MURI Grant No. N00014-06-1-0530 and NSF Grant No. DMR-0242619 for AGK and YN is gratefully acknowledged. YMJ acknowledges the financial support of the NSF under Grant No. DMR-0706354. The simulations were performed on the DataStar in the San Diego Supercomputer Center.
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Manuscript submitted December 9, 2007.
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Ni, Y., Jin, Y. & Khachaturyan, A. Domain Structure Produced by Confined Displacive Transformation and Its Response to the Applied Field. Metall Mater Trans A 39, 1658–1664 (2008). https://doi.org/10.1007/s11661-008-9518-1
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DOI: https://doi.org/10.1007/s11661-008-9518-1