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The quasi-continuum method (QC), a multiscale method, is used to analyze body-centered-cubic (bcc) metal tantalum (tantalum, Ta) type Ⅱ crack-tip dislocation nucleation. Based on the relationship curves between dislocations emission position and stress intensity factor, the processes of dislocation defect initiation and development are investigated. Dislocation travels forward with different characteristics in different stages and the new nucleated dislocations expedite the already nucleated dislocation to move away from the crack tip. The analysis of initiation of the crack tip defects shows that they are the local defects that first appear, and with loading, more local defects emerge, which eventually move to the boundary, and lead to the type Ⅱ fracture. Furthermore, dislocation dissociation as well as extended dislocation is discussed. The partial dislocation nucleating before the perfect dislocation nucleation and emission is full proof that the dissociation of perfect dislocation takes place step by step, which means that the two minimum points on the energy curve have different formation mechanisms.
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Keywords:
- multiscale /
- quasi-continuum method /
- type Ⅱ fracture /
- extended dislocation
[1] Buckman R W 2000 JOM 52 40
[2] Cardonne S M, Kumar P, Michaluk C A, Schwartz H D 1995 Int. J. Refract. Met. Hard Mater. 13 187
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[8] [9] Miller R, Tadmor E B, Phillips R, Ortiz M 1998 Modelling Simul. mater. Sci. Eng. 6 607
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[16] Rice J R 1992 J. Mech. Phys. Solids 40 239
[17] [18] Shao Y F, Wangh S Q 2010 Acta Phys. Sin. 59 7258 (in Chinese) [邵宇飞、王绍青 2010 59 7258]
[19] [20] [21] Tang Q H, Wang T C1999 J. Mater. Res. 14 4035
[22] He A M, Shao J L, Wang P, Qin C S 2010 Acta Phys. Sin. 59 8836 (in Chinese) [何安民、邵建立、王 裴、秦承森 2010 59 8836]
[23] [24] Xie H X, Wang C Y, Yu T, Du J P 2009 Chin. Phys. B 18 251
[25] [26] Wang H T, Qin Z D, Ni Y S, Zhang W 2009 Acta Phys. Sin. 58 1057 (in Chinese) [王华滔、秦昭栋、倪玉山、张 文 2009 58 1057]
[27] [28] Zhang Z N, Ge X R 2005 Eur. J. Mech. A-Solids 24 243
[29] [30] [31] Zhou T, Yang X H, Chen C Y 2009 Int. J. Solids Struct. 46 1975
[32] Tadmor E B 1996 The Ph.D. Dissertation (Brown University)
[33] [34] [35] Tadmor E B, Phillips R, Ortiz M 1996 Langmuir 12 4529
[36] Tadmor E B, Ortiz M, Phillips R 1996 Philos. Mag. A 73 1529
[37] [38] Daw M S, Baskes M I 1984 Phys. Rev. B 29 6443
[39] [40] [41] Li Y, Siegel D J, Adams J B, Liu X Y 2003 Phys. Rev. B 67 125101
[42] [43] Featherston F H, Neighbours J R 1963 Phys. Rev. 130 1324
[44] Peierls R 1940 Proc. Phys. Soc. 52 34
[45] -
[1] Buckman R W 2000 JOM 52 40
[2] Cardonne S M, Kumar P, Michaluk C A, Schwartz H D 1995 Int. J. Refract. Met. Hard Mater. 13 187
[3] [4] [5] Gleiter H 1989 Proc. Mater Sci. 33 223
[6] [7] Miller R, Ortiz M, Phillips R, Shenoy V, Tadmor E B 1998 Eng. Fract. Mech. 61 427
[8] [9] Miller R, Tadmor E B, Phillips R, Ortiz M 1998 Modelling Simul. mater. Sci. Eng. 6 607
[10] Shenoy V B, Miller R, Tadmor E B, Phillips R, Ortiz M 1998 Phys. Rev. Lett. 80 742
[11] [12] [13] Hai S, Tadmor E B 2003 Acta Mater. 51 117
[14] [15] Tadmor E B, Hai S 2003 J. Mech. Phys. Solids 51 765
[16] Rice J R 1992 J. Mech. Phys. Solids 40 239
[17] [18] Shao Y F, Wangh S Q 2010 Acta Phys. Sin. 59 7258 (in Chinese) [邵宇飞、王绍青 2010 59 7258]
[19] [20] [21] Tang Q H, Wang T C1999 J. Mater. Res. 14 4035
[22] He A M, Shao J L, Wang P, Qin C S 2010 Acta Phys. Sin. 59 8836 (in Chinese) [何安民、邵建立、王 裴、秦承森 2010 59 8836]
[23] [24] Xie H X, Wang C Y, Yu T, Du J P 2009 Chin. Phys. B 18 251
[25] [26] Wang H T, Qin Z D, Ni Y S, Zhang W 2009 Acta Phys. Sin. 58 1057 (in Chinese) [王华滔、秦昭栋、倪玉山、张 文 2009 58 1057]
[27] [28] Zhang Z N, Ge X R 2005 Eur. J. Mech. A-Solids 24 243
[29] [30] [31] Zhou T, Yang X H, Chen C Y 2009 Int. J. Solids Struct. 46 1975
[32] Tadmor E B 1996 The Ph.D. Dissertation (Brown University)
[33] [34] [35] Tadmor E B, Phillips R, Ortiz M 1996 Langmuir 12 4529
[36] Tadmor E B, Ortiz M, Phillips R 1996 Philos. Mag. A 73 1529
[37] [38] Daw M S, Baskes M I 1984 Phys. Rev. B 29 6443
[39] [40] [41] Li Y, Siegel D J, Adams J B, Liu X Y 2003 Phys. Rev. B 67 125101
[42] [43] Featherston F H, Neighbours J R 1963 Phys. Rev. 130 1324
[44] Peierls R 1940 Proc. Phys. Soc. 52 34
[45]
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