[1]
D. McLean, Grain Boundaries in Metals, Clarendon, Oxford (1957).
Google Scholar
[2]
J. R. Manning, Diffusion Kinetics for Atoms in Crystals, Von Nostrand, Princeton (1968).
Google Scholar
[3]
H.Gleiter and B. Chalmers, High-Angle Grain Boundaries, Pergamon (1972).
Google Scholar
[4]
B. Bokstein, Ch. Kopetsky and L. Shvindlerman, Thermodynamics and Kinetics of Grain Boundaries in Metals, Metallurgy, Moscow (1986), in Russian.
Google Scholar
[5]
I. Kaur, Y. Mishin and W. Gust, Fundamentals of Grain and Interphase Boundary Diffusion, Wiley, Chichester (1995).
Google Scholar
[6]
P.Lejcek, Grain Boundary Segregation in Metals, Springer, Berlin (2010).
Google Scholar
[7]
Y. Mishin, M. Asta and J. Li, Atomistic modeling of interfaces and their impact on microstructure and properties, Acta Materialia, 58 (2010) 1117-1151.
DOI: 10.1016/j.actamat.2009.10.049
Google Scholar
[8]
B. Bokstein, A. Rodin, Grain Boundary Diffusion and Grain Boundary Segregation in Metals and Alloys. Diffusion Foundations. 1 (2014) 99 – 124.
DOI: 10.4028/www.scientific.net/df.1.99
Google Scholar
[9]
V.I. Arharov, About diffusion mechanisms, Phys. Met. and Metallogr. 2 (1956) 379-381.
Google Scholar
[10]
S. V. Divinski, M. Lohmann, and Chr. Herzig, Grain boundary diffusion and linear and non-linear segregation of Ag in Cu, Interface science, 11 (2003) 21-31.
DOI: 10.3139/146.101159
Google Scholar
[11]
S.V. Divinski, Chr.Herzig, Solute segregation studied by grain boundary diffusion, Archives of Metallurgy and Materials, 49 2 (2004) 305-322.
Google Scholar
[12]
Е. D. Hondros, M. P. Seah, Segregation to interfaces, Int. Met. Rev., 22 (1977) 262-301.
Google Scholar
[13]
J.W. Gibbs, The Collected Works in Two Volumes, Longmans, Green, N.-Y. (1928).
Google Scholar
[14]
H. Fowler, E. Guggenheim, Statistical Thermodynamics, Univ. Press, Cambridge (1958).
Google Scholar
[15]
B. Bokstein, M. Mendelev, D. Srolovitz, Thermodynamics and Kinetics in Materials Science. Oxford University Press (2005).
Google Scholar
[16]
I. Langmuir, The constitution and fundamental properties of solids and liquids. Part I. Solids. J. Am. Chem. Soc. 38 11 (1916) 2221–2295.
DOI: 10.1021/ja02268a002
Google Scholar
[17]
J. Bernardini, P. Gas, Diffusion and 2D Chemistry in Grain Boundaries, Defect and Diffusion Forum, 95-98 (1993) 393-404.
DOI: 10.4028/www.scientific.net/ddf.95-98.393
Google Scholar
[18]
A. Rodin, N. Dolgopolov, S.Kryukov, Grain Boundary Diffusion. Effect of Segregation or Concentration. Dependence of Diffusivity, Defect and Diffusion Forum, 323-325 (2012) 165-170.
DOI: 10.4028/www.scientific.net/ddf.323-325.165
Google Scholar
[19]
D. Vaganov, S.Zhevnenko, Yu. Terent'ev, Grain Boundary Diffusion of Silver in Copper-Iron Alloys, Defect and Diffusion Forum, 323-325 (2012) 161-164.
DOI: 10.4028/www.scientific.net/ddf.323-325.161
Google Scholar
[20]
S. Divinski, M. Lohmann, Chr. Herzig, Ag grain boundary diffusion and segregation in Cu: Measurements in the types B and C diffusion regimes, Acta Mater., 49 (2001) 249 -258.
DOI: 10.1016/s1359-6454(00)00304-9
Google Scholar
[21]
M. Guttmann, Grain boundary segregation, two dimensional compound formation, and precipitation, Met. Trans. 8A (1977) 1383-1389.
DOI: 10.1007/bf02642852
Google Scholar
[22]
R. P. Messmer and C. L. Briant, The role of chemical bonding in grain boundary embrittlement, Acta Metall. 30 (1982) 457-467.
DOI: 10.1016/0001-6160(82)90226-7
Google Scholar
[23]
B. Bokstein, A. Rodin and A. Smirnov, Thermodynamics of Grain Boundary Adsorption in Binary Systems with Limited Solubility. Z. Metalkunde 10 (2004) 1094-1099.
DOI: 10.3139/146.101145
Google Scholar
[24]
B.S. Bokstein, V.A. Esin and A.O. Rodin, A new model of grain boundary segregation with the formation of atomic complexes in grain boundary Phys. Met. Metallography, V. 109 (2010) 316-322.
DOI: 10.1134/s0031918x10040022
Google Scholar
[25]
V. Esin and B. Bokstein, Effect of atomic interaction on grain boundary diffusion in the B regime Acta Mat., V. 60 (2012) pp.509-510.
DOI: 10.1016/j.actamat.2012.06.011
Google Scholar
[26]
M. B. Small, D. A. Smith and A. J. Garratt-Reed, Segregation of copper in dilute aluminum-copper alloys, Scripta Metallurgica et Materialia, 30 (1994) 1531-1534.
DOI: 10.1016/0956-716x(94)90303-4
Google Scholar
[27]
G. H. Campbell, J. M. Plitzko and W. E. King, Copper Segregation to the Σ5 (310)/001 Symmetric Tilt Grain Boundary in Aluminum, Interface Science, 12 (2004) 165–174.
DOI: 10.1023/b:ints.0000028647.72322.90
Google Scholar
[28]
A. Itckovich, M. Mendelev, A. Rodin and B. Bokstein: Computer modeling of atomic cluster formation in grain boundaries Rev. Adv. Mater. Sci. 52 (2017) 1-4.
DOI: 10.4028/www.scientific.net/ddf.383.103
Google Scholar
[29]
A. Itckovich, М. Mendelev, A. Rodin, and B. Bokstein, Effect of atomic complexes formation in grain boundaries on grain boundary diffusion, Defect and Diffusion Forum, 383 (2018) pp.103-111.
DOI: 10.4028/www.scientific.net/ddf.383.103
Google Scholar
[30]
M.I. Mendelev, M.J. Kramer, C.A. Becker, M. Asta, Analysis of semi-empirical interatomic potentials appropriate for simulation of crystalline and liquid Al and Cu, Phil.Mag., 88 (2008) 1723-1731.
DOI: 10.1080/14786430802206482
Google Scholar
[31]
М.I. Mendelev, A.H. King, The interactions of self-interstitials with twin boundaries, Phil. Mag. 93 (2013) 1268-1278.
DOI: 10.1080/14786435.2012.747012
Google Scholar
[32]
C. L. Briant, Grain boundary segregation of sulfur in iron, Acta Mater., 3 (1985) 1241 -1246.
DOI: 10.1016/0001-6160(85)90235-4
Google Scholar
[33]
V.V. Smirnov, Parameters of grain boundary segregation and characteristics of bulk phases in copper-antimony alloys, Poverkhnost. Rentgenovskie Sinkhronnye i Nejtronnye Issledovaniya, 1 (2005) 109-112.
Google Scholar
[34]
A. Rodin, L. Klinger and B. Bokstein, Solute Diffusion in Grain Boundaries – Outside the Scope of Fisher Model, Defect Diffusion Forum, 289-292 (2009) 811.
DOI: 10.4028/www.scientific.net/ddf.289-292.711
Google Scholar