Abstract
During plastic deformation, dislocation boundaries are formed and orientation differences across them arise. Two different causes lead to the formation of two kinds of deformation-induced boundaries: a statistical trapping of dislocations in incidental dislocation boundaries and a difference in the activation of slip systems on both sides of geometrically necessary boundaries. On the basis of these mechanisms, the occurrence of disorientations across both types of dislocation boundaries is modeled by dislocation dynamics. The resulting evolution of the disorientation angles with strain is in good agreement with experimental observations. The theoretically obtained distribution functions for the disorientation angles describe the experimental findings well and explain their scaling behavior. The model also predicts correlations between disorientations in neighboring boundaries, and evidence for their existence is presented.
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Q. Liu and N. Hansen, Scr. Metall. Mater. 32, 1289 (1995).
Q. Liu and N. Hansen, Phys. Status Solidi A 149, 187 (1995).
D. Kuhlmann-Wilsdorf and N. Hansen, Scr. Metall. Mater. 25, 1557 (1991).
D.A. Hughes, Q. Liu, D.C. Chrzan, and N. Hansen, Acta Mater. 45, 105 (1997).
W. Pantleon, Scr. Mater. 35, 511 (1996).
D.A. Hughes, D.C. Chrzan, Q. Liu, and N. Hansen, Phys. Rev. 81, 4664 (1998).
U.F. Kocks and H. Chandra, Acta Metall. 30, 695 (1982).
Q. Liu, D. Juul Jensen, and N. Hansen, Acta Mater. 46, 5819 (1998).
J.A. Wert, Q. Liu, and N. Hansen, Acta Mater. 43, 4153 (1995).
D. Kuhlmann-Wilsdorf, Phys. Status Solidi A 149, 255 (1995).
Y. Kawasaki and T. Takeuchi, Scr. Metall. 14, 183 (1980).
E.V. Kozlov, N.A. Koneva, L.A. Teplyakova, D. Lychagin, and L.I. Trishkina, Mater. Sci. Eng. A 319–321, 261 (2001).
W.T. Read and W. Shockley, Phys. Rev. 78, 275 (1950).
W. Pantleon, Act Mater. 46, 451 (1998).
F.R.N. Nabarro, Scr. Metall. Mater. 30, 1085 (1994).
W. Pantleon, in Proc. 20th Intern. Risø Symp.: Deformation-Induced Microstructures: Analysis and Relation to Properties, edited by J.B. Bilde-Sørensen, J.V. Carstensen, N. Hansen, D. Juul Jensen, T. Leffers, W. Pantleon, O.B. Pedersen, and G. Winther (Risø National Laboratory, Roskilde, Denmark, 1999), p. 123.
W. Pantleon, Mater. Sci. Eng. A 319–321, 211 (2001).
R. Sedlacek, J. Kratochvil, and W. Blum, Phys. Status Solidi A 186, 1 (2001).
M.J. Marcinowski, in Fundamental Aspects of Dislocation Theory, edited by J.A. Simmons, R. de Wit, and R. Bullough (Nat. Bur. Stand. (U.S.) Spec. Publ. 317, Washington, DC, 1970), Vol. 1, p. 531.
H. Risken, The Fokker-Planck Equation, 2nd ed. (Springer-Verlag, Berlin, Germany, 1989).
M.A. Miodownik, P. Smereka, D.J. Srolovitz, and E.A. Holm, Proc. R. Soc. London A 457, 1807 (2001).
W. Pantleon, Mater. Sci. Eng. A 234–236, 567 (1997).
W. Pantleon and N. Hansen, Acta Mater. 49, 1479 (2001).
H. Schaeben, J. Appl. Crystallogr. 26, 112 (1993).
D.P. Mika and P.R. Dawson, Acta Mater. 47, 1355 (1999).
M. Zaiser, Mater. Sci. Eng., A 309–310, 304 (2001).
W. Pantleon and D. Stoyan, Acta Mater. 48, 3005 (2000); 48, 4179 (E) (2000).
D. Juul Jensen, Ultramicroscopy 67, 25 (1997).
W. Pantleon, in Proc. 21th Intern. Risø Symp.: Recrystallization–Fundamental Aspects and Relations to Deformation Microstructure, edited by N. Hansen, X. Huang, D. Juul Jensen, E.M. Lauridsen, T. Leffers, W. Pantleon, T.J. Sabin, and J.A. Wert (Risø National Laboratory, Roskilde, Denmark, 2000), p. 497.
W. Pantleon and N. Hansen, Mater. Sci. Eng., A 309–310, 246 (2001).
J. Hjelen, R. Ørsund, E. Hoel, P. Runde, T. Furu, and E. Nes, Textures Microstruct. 20, 29 (1993).
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Pantleon, W. Disorientations in dislocation structures: Formation and spatial correlation. Journal of Materials Research 17, 2433–2441 (2002). https://doi.org/10.1557/JMR.2002.0355
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DOI: https://doi.org/10.1557/JMR.2002.0355