Modeling solid-solid phase transformations: From single crystal to polycrystal behavior

Computational and Applied Mathematics

Volumn 23, Issue 2-3, 2004, Pages 345-361

  Albers, R C ^a   Ahluwalia, R ^a   Lookman, T ^a   Saxena, A ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Landau theory PACS: 81.30.Kf, 64.70.Kb, 61.72.Mm; Martensites; Polycrystals; Shape memory alloys

Indexed keywords

BINARY ALLOYS; CHROMIUM ALLOYS; CRYSTAL MICROSTRUCTURE; DEGREES OF FREEDOM (MECHANICS); ELECTRONIC STRUCTURE; FINITE ELEMENT METHOD; FREE ENERGY; IRON ALLOYS; MOLECULAR DYNAMICS; PALLADIUM ALLOYS; PHASE TRANSITIONS; POLYCRYSTALS; SHAPE MEMORY EFFECT; SINGLE CRYSTALS;

ELASTIC PROPERTIES; ELASTIC-STRAINS; KB, 61.72.; KF, 64.70.; LANDAU THEORY; LANDAU THEORY PACS: 81.30.; MM; MODEL SOLIDS; POLYCRYSTAL BEHAVIOR; SOLID-SOLID PHASE TRANSFORMATION;

STRAIN;

EID: 53349135114     PISSN: 22383603     EISSN: 18070302     Source Type: Journal    
DOI: 10.1590/s1807-03022004000200013     Document Type: Article

References (31)

1. V.K. Wadhawan, Introduction to Ferroic Materials (Gordon and Breach, Amsterdam, 2000).
2. E.K.H. Salje, Phase Transformations in Ferroelastic and Co-elastic Solids (Cambridge University Press, Cambridge, U.K., 1990).
3. K. Otsuka and C.M. Wayman (eds.), Shape Memory Materials, Cambridge University Press, Cambridge, UK (1998); MRS Bull. 27, Feb. (2002).
4. G.R. Barsch, J.A. Krumhansl, L.E. Tanner and M. Wuttig, Scripta Metall. 21 (1987), 1257 and references therein.
5. J.A. Krumhansl, in Lattice Effects in High-Tc Superconductors, eds. Y. Bar-Yam, T. Egami, J. Mustre de Leon, and A.R. Bishop (World Scientific, Singapore, 1992).
6. S.M. Shapiro, B.X. Yang, Y. Noda, L.E. Tanner and D. Schryvers, Phys. Rev. B 44 (1991), 9301.
7. A. Planes and L. Mañosa, Solid State Phys. 55 (2001), 159.
8. S.R. Shenoy, T. Lookman, A. Saxena and A.R. Bishop, Phys. Rev. B 60 (1999), R12537
9. T. Lookman, S.R. Shenoy, K.Ø. Rasmussen, A. Saxena and A.R. Bishop, Phys. Rev. B 67 (2003), 024114.
10. K. Bhattacharya and R.V. Kohn, Arch. Rational Mech. Anal. 139 (1997), 99
11. Y.C. Shu and K. Bhattacharya, Acta Mater. 46 (1998), 5457.
12. M. Huang, X. Gao and L.C. Brinson, International Journal of Plasticity 16 (2000), 1371.
13. F. Falk, International Journal of Engineering Science 27 (1989), 277.
14. K. Gall, T.J. Lim, D.L. McDowell, H. Sehitoglu and Y.I. Chumlyakov, International Journal of Plasticity 16 (2000), 1189.
15. Y.M. Jin, A. Artemev and A.G. Khachaturyan, Acta Mater. 49 (2001), 2309
16. A. Artemev, Y.M. Jin and A.G. Khachaturyan, Philos. Mag. A 82 (2002), 1249.
17. B. Morin, K.R. Elder, M. Sutton and M. Grant, Phys. Rev. Lett. 75 (1995), 2156.
18. L.Q. Chen and W. Yang, Phys. Rev. B 50 (1994), 15752.
19. J.A. Warren, W.C. Carter and R. Kobayashi, Physica (Amsterdam) 261A (1998), 159.
20. C.L.M.H. Navier, Résumé des Leçons sur l’Application de la Mécanique, 3ème edition avec des notes et des appendices par A.J.C. Barré de Saint-Venant (Dunod, Paris, 1864).
21. D.S. Chandrasekharaiah and L. Debnath, Continuum Mechanics (Academic, San Diego, 1996) p. 218
22. S. Timoshenko, History of Strength of Materials (McGraw-Hill, New York, 1953) p. 229
23. E.A.H. Love, A Treatise on the Mathematical Theory of Elasticity (Dover, New York, 1944)
24. L.E. Malvern, Introduction to the Mechanics of a Continuous Medium (Prentice Hall, New Jersey, 1969).
25. M. Baus and R. Lovett, Phys. Rev. Lett. 65 (1990), 1781; Phys. Rev. Lett. 67 (1991), 406; Phys. Rev. A 44 (1991), 1211.
26. G.R. Barsch and J.A. Krumhansl, Phys. Rev. Lett. 53 (1984), 1069.
27. S. Kartha, J.A. Krumhansl, J.P. Sethna and L.K. Wickham, Phys. Rev. B 52 (1995), 803.
28. S. Muto, R. Oshima and F.E. Fujita, Acta Metallurgica et Materialia 38 (1990), 685.
29. K. Enami, V.V. Martynov, T. Tomie, L.G. Khandros and S. Nenno, Trans. Japan Inst. Metals 22 (1981), 357.
30. Y.D. Kim and C.M. Wayman, Metall. Trans. 23A (1992), 2981.
31. R. Vaidyanathan, M.A.M. Bourke and D.C. Dunand, Acta Mater. 47 (1999), 3353.