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Dislocation climb plays a vital role in the plastic behavior of crystals at high temperatures. In order to reveal the intrinsic mechanism of climb and its effect on plasticity, a new dislocation climb model is first developed based on the combination of the diffusion theory with both bulk diffusion and pipe diffusion in a three-dimensional discrete dislocation dynamics (DDD) simulation, which is considered to be more physical and widely applicable. Using our model the shrinkage processes of a single prismatic loop group and prismatic loop group are simulated. It is concluded that the climb rate is not directly determined by mechanical climb force as believed in classical theories, but by the gradient of the vacancy concentration around (bulk diffusion) and along (pipe diffusion) the dislocation line. Loop coarsening process is also simulated, and the three pronounced evolving stages of the loop radii and the average vacancy concentrations in crystal are reproduced.
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Keywords:
- dislocation climb /
- diffusion theory of point defects /
- dislocation dynamics /
- prismatic dislocation loop
[1] Hirth J P, Lothe J 1982 Theory of Dislocations (New York: Wiley Interscience)
[2] Li Y, Kong Q P 1989 Acta Phys. Sin. 38 91 (in Chinese) [李勇、孔庆平 1989 物理学报 38 91]
[3] Allnatt A, Lidiard A 1993 Atomic transport in solids (Cambridge: Cambridge University Press)
[4] Caillard D, Martin J 2003 Thermally activated mechanisms in crystal plasticity (Amsterdam: Pergamon Press)
[5] Fedelich B 2002 Int. J. Plast. 18 1
[6] Hiratani M, Zbib H 2002 J. Eng. Mater. Technol. 124 335
[7] Li H, Lin J, Dean T A, Wen S W, Bannister A C 2009 Int. J. Plast. 25 1049
[8] Mordehai D, Clouet E, Fivel M, Verdier M 2008 Philos. Mag. 88 899
[9] Amodeo R, Ghoniem N 1990 Phys. Rev. B 41 6958
[10] Roters F, Raabe D, Gottstein G 1996 Comput. Mater. Sci. 7 56
[11] Argaman N, Levy O, Makov G 2001 Mater. Sci. Eng. A 309 386
[12] Bakó B, Groma I, Györgyi G, Zimányi G 2006 Comput. Mater. Sci. 38 22
[13] Ghoniem N, Tong S, Sun L 2000 Phys. Rev. B 61 913
[14] Cleveringa H H M, Van der Giessen E, Needleman A 1999 Int. J. Plast. 15 837
[15] Tang X, Lagerl f K, Heuer A 2003 J. Am. Ceram. Soc. 86 560
[16] Legros M, Dehm G, Arzt E, Balk T 2008 Science 319 1646
[17] Ge T S 1996 Acta Phys. Sin. 45 1016 (in Chinese) [葛庭燧 1996 物理学报 45 1016]
[18] Edelin G 1971 Philos. Mag. 23 1547
[19] Liu Z L, Liu X M, Zhuang Z, You X C 2009 Scripta Mater. 60 594
[20] Liu Z L, Liu X M, Zhuang Z, You X C 2009 Int. J. Plast. 25 1436
[21] Lu G, Fang B Q, Zhang G C, Xu A G 2009 Acta Phys. Sin. 58 7934 (in Chinese) [卢 果、方步青、张广财、许爱国 2009 物理学报 58 7934]
[22] Silcox J, Whelan M 1960 Philos. Mag. 5 1
[23] Sun H, Pan X, Haeni J, Schlom D 2004 Appl. Phys. Lett. 85 1967
[24] Burton B, Speight M 1986 Philos. Mag. A 53 385
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[1] Hirth J P, Lothe J 1982 Theory of Dislocations (New York: Wiley Interscience)
[2] Li Y, Kong Q P 1989 Acta Phys. Sin. 38 91 (in Chinese) [李勇、孔庆平 1989 物理学报 38 91]
[3] Allnatt A, Lidiard A 1993 Atomic transport in solids (Cambridge: Cambridge University Press)
[4] Caillard D, Martin J 2003 Thermally activated mechanisms in crystal plasticity (Amsterdam: Pergamon Press)
[5] Fedelich B 2002 Int. J. Plast. 18 1
[6] Hiratani M, Zbib H 2002 J. Eng. Mater. Technol. 124 335
[7] Li H, Lin J, Dean T A, Wen S W, Bannister A C 2009 Int. J. Plast. 25 1049
[8] Mordehai D, Clouet E, Fivel M, Verdier M 2008 Philos. Mag. 88 899
[9] Amodeo R, Ghoniem N 1990 Phys. Rev. B 41 6958
[10] Roters F, Raabe D, Gottstein G 1996 Comput. Mater. Sci. 7 56
[11] Argaman N, Levy O, Makov G 2001 Mater. Sci. Eng. A 309 386
[12] Bakó B, Groma I, Györgyi G, Zimányi G 2006 Comput. Mater. Sci. 38 22
[13] Ghoniem N, Tong S, Sun L 2000 Phys. Rev. B 61 913
[14] Cleveringa H H M, Van der Giessen E, Needleman A 1999 Int. J. Plast. 15 837
[15] Tang X, Lagerl f K, Heuer A 2003 J. Am. Ceram. Soc. 86 560
[16] Legros M, Dehm G, Arzt E, Balk T 2008 Science 319 1646
[17] Ge T S 1996 Acta Phys. Sin. 45 1016 (in Chinese) [葛庭燧 1996 物理学报 45 1016]
[18] Edelin G 1971 Philos. Mag. 23 1547
[19] Liu Z L, Liu X M, Zhuang Z, You X C 2009 Scripta Mater. 60 594
[20] Liu Z L, Liu X M, Zhuang Z, You X C 2009 Int. J. Plast. 25 1436
[21] Lu G, Fang B Q, Zhang G C, Xu A G 2009 Acta Phys. Sin. 58 7934 (in Chinese) [卢 果、方步青、张广财、许爱国 2009 物理学报 58 7934]
[22] Silcox J, Whelan M 1960 Philos. Mag. 5 1
[23] Sun H, Pan X, Haeni J, Schlom D 2004 Appl. Phys. Lett. 85 1967
[24] Burton B, Speight M 1986 Philos. Mag. A 53 385
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