Abstract
The conditions for grain boundary (GB) structural transitions are determined from a diffuse interface model that incorporates structural disorder and crystallographic orientation. A graphical construction and numerical calculations illustrate the existence of a first-order GB order–disorder transition below the bulk melting point. When thermodynamic conditions permit their existence, disordered GB structures tend to be stable at higher temperatures and are perfectly wet by liquid at the melting point, while ordered grain boundaries are meta-stable against preferential melting. We calculate GB phase diagrams which are analogous to those for liquid–vapor phase transitions.
Similar content being viewed by others
References
Frenken JWM, van der Veen JF (1985). Phys Rev Lett 54:134
Frenken JWM, Maree PMJ, van der Veen JF (1986) Phys Rev B 34:7506
Dash JG (1989) Cont Phys 30:89
Gleiter H (1970) Z Metallkd 61:282
Demianczuk DW, Aust KT (1975) Acta Metall 23:1149
Watanabe T, Kimura SI, Karashima S (1984) Phil Mag A 49:845
Maksimova EL, Shvindlerman LS, Straumal BB (1988) Acta Metall 36:1573
Divinski S, Lohmann M, Herzig C, Straumal B, Baretzky B, Gust W (2005) Phys Rev B 71: art.no. 104104
Hsieh T, Balluffi R (1989) Acta Metall 37:1637
Alsayed A, Islam MF, Zhang J, Collings PJ, Yodh AG (2005) Science 309:1207
Luo J, Gupta VK, Yoon DH, Meyer HM (2005) App Phys Lett 87: art.no. 231902
Kikuchi R, Cahn JW (1980) Phys Rev B 21:1893
Kikuchi R, Cahn JW (1987) Phys Rev B 36:418
Broughton JQ, Gilmer GH (1986) Phys Rev Lett 56:2692
Ciccotti G, Guillope M, Pontikis V (1983) Phys Rev B 27:5576
Nguyen T, Ho PS, Kwok T, Nitta C, Yip S (1986) Phys Rev Lett 57:1919
Deymier P, Taiwo A, Kalonji GM (1987) Acta Metall 35:2719
Phillpot SR, Lutsko JF, Wolf D, Yip S (1989) Phys Rev B 40:2831
Lutsko JF, Wolf D, Phillpot SR, Yip S (1989) Phys Rev B 40:2841
Nguyen T, Ho PS, Kwok T, Nitta C, Yip S (1992) Phys Rev B 46:6050
Keblinski P, Phillpot SR, Wolf D, Gleiter H (1997) Philos Mag Lett 76:143
Besold G, Mouritsen OG (1994) Phys Rev B 50:6573
Besold G, Mouritsen OG (2000) Comp Mat Sci 18:225
Kobayashi R, Warren JA, Carter WC (2000) Physica D 140:141
Warren J, Kobayashi R, Lobkovsky A, Carter W (2003) Acta Mater 51:6035
Tang M, Carter WC, Cannon RM (2006) Phys Rev B 73:024102
Kobayashiand R, Giga Y (1999) J Stat Phys 95:1187
Cahn JW (1997) J Chem Phys 66:3667
Tang M, Carter WC, Cannon RM (2006) Phys Rev Lett 97:075502
Acknowledgements
Discussions with Yet-Ming Chiang and Jian Luo are gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Tang, M., Carter, W.C. & Cannon, R.M. Grain boundary order-disorder transitions. J Mater Sci 41, 7691–7695 (2006). https://doi.org/10.1007/s10853-006-0608-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10853-006-0608-4