Nanocrystalline (NC) materials are composed of grain cores with well-defined atomic arrangement (e.g., face center cubic, body center cubic) joined by an interphase region composed of grain boundaries and higher-order junctions (e.g., triple junctions, quadruple junctions). Early experiments on nanocrystalline materials have shown that the interphase region and particularly grain boundaries exhibit an almost grain size–independent thickness [1]. Hence, as the grain size is decreased, the volume fraction of the interphase region increases. Supposing a tetracaidecahedral grain shape, corresponding to a realistic grain shape, the following expressions of the volume fraction of interphase (e.g., grain boundaries and triple junctions), grain boundaries, and triple junctions can be derived [2].
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References
Champion, Y. and M.J. Hytch, The European Journal of Applied Physics 4, (1998)
Palumbo, G., S.J. Thorpe, and K.T. Aust, Scripta Metallurigica et Materialia 24, (1990)
Birringer, R., Materials Science and Engineering A 117, (1989)
Zhang, K., I.V. Alexandrov, and K. Lu. The X-ray diffraction study on a nanocrystalline Cu processed by equal-channel angular pressing. Kona, HI, USA: Elsevier, (1997)
Kumar, K.S., S. Suresh, M.F. Chislom, J.A. Horton, and P. Wang, Acta Materialia 51, (2003)
Straub, W.M., T. Gessman, W. Sigle, F. Phillipp, A. Seeger, and H.E. Schaefer, Nanostructured Materials 6, (1995)
Torre, F.D., P. Spatig, R. Schaublin, and M. Victoria, Acta Materialia 53, (2005)
Ungar, T., S. Ott, P.G. Sanders, A. Borbely, and J.R. Weertman, Acta Materialia 46, (1998)
Estrin, Y. and H. Mecking, Acta Metallurgica 32, (1984)
Kocks, U.F., Transactions of the ASME (1976)
Kocks, U.F. and H. Mecking, Progress in Materials Science 48, (2003)
Mecking, H. and U.F. Kocks, Acta Metallurgica 29, (1981)
Huang, J.Y., X.Z. Liao, and Y.T. Zhu, Philosophical Magazine 83, (2003)
Sanders, P.G., A.B. Witney, J.R. Weertman, R.Z. Valiev, and R.W. Siegel, Journal of Engineering and Applied Science A204, (1995)
Mingwei, C., M. En, K.J. Hemker, S. Hongwei, W. Yinmin, and C. Xuemei, Science 300, (2003)
Markmann, J., et al., Scripta Materialia 49, (2003)
Liao, X.Z., F. Zhou, E.J. Lavernia, D.W. He, and Y.T. Zhu, Applied Physics Letters 83, (2003)
Ranganathan, S., R. Divakar, and V.S. Raghunathan, Scripta Materialia 27, (2000)
Sun, X., R. Reglero, X. Sun, and M.J. Yacaman, Materials Chemistry and Physics 63, (2000)
Patterson, A.L., Physical Review 56, (1939)
Scherrer, P., Gottinger Nachrichten 2, (1918)
Hall, E.O., Proceedings of the Physical Society of London B64, (1951)
Petch, N.J., Journal of Iron Steel Institute 174, (1953)
Li, J.C.M., Transactions of the Metallurgical Society of AIME 227, (1963)
Murr, L.E., Materials Science and Engineering 51, (1981)
Murr, L.E. and E. Venkatesh, Metallography 11, (1978)
Venkatesh, E.S. and L.E. Murr, Scripta Metallurgica 10, (1976)
Venkatesh, E.S. and L.E. Murr, Materials Science and Engineering 33, (1978)
Ashby, M.F., Philosophical Magazine 21, (1970)
Cheong, K.S. and E.P. Busso, Discrete dislocation density modelling of single phase FCC polycrystal aggregates. Acta Materialia, 52(19), 5665–5675, (2004)
Cheng, S., et al., Acta Materialia 53, (2005)
Yinmin, W., C. Mingwei, Z. Fenghua, and M. En, Nature 419, (2002)
Youssef, K.M., R.O. Scattergood, K.L. Murty, and C.C. Koch, Applied Physics Letters 85, (2004)
Champion, Y., C. Langlois, S. Guerin-Mailly, P. Langlois, J.L. Bonnentien, and M.J. Hytch, Science 300, (2003)
Khan, A.S., B. Farrokh, and L. Takacs, Materials Science and Engineering: A 489, (2008)
Legros, M., B.R. Elliott, M.N. Rittner, J.R. Weertman, and K.J. Hemker, Philosophical Magazine A: Physics of Condensed Matter, Structure, Defects and Mechanical Properties 80, (2000)
Nieman, G.W., J.R. Weertman, and R.W. Siegel. Mechanical behaviour of nanocrystalline Cu, Pd and Ag samples. New Orleans, LA, USA: TMS – Miner. Metals & Amp; Mater. Soc., (1991)
Sanders, P.G., J.A. Eastman, and J.R. Weertman, Acta Materialia 45, (1997)
Yim, T., S. Yoon, and H. Kim, Materials Science & Engineering. A, Structural materials 449–451, (2007)
Chen, J., L. Lu, and K. Lu, Scripta Materialia 54, (2006)
Asaro, R.J. and S. Suresh, Acta Materialia 53, (2005)
Hillert, M., Acta Metallurgica 13, (1964)
De Castro, C.L. and B.S. Mitchell, Materials Science and Engineering A 396, (2005)
Song, X., J. Zhang, L. Li, K. Yang, and G. Liu, Acta Materialia 54, (2006)
Fecht, H.J., Physical Review Letters 65, (1990)
Wagner, M., Physical Review B (Condensed Matter) 45, (1992)
Gibbs, J.W., The collected works. Green and Co, New York, (1928)
Millet, P.C., R.P. Selvam, and A. Saxena, Acta Materialia 55, (2007)
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Cherkaoui, M., Capolungo, L. (2009). Structure, Mechanical Properties, and Applications of Nanocrystalline Materials. In: Atomistic and Continuum Modeling of Nanocrystalline Materials. Springer Series in Materials Science, vol 112. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-46771-9_2
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