Void growth in bcc metals simulated with molecular dynamics using the Finnis-Sinclair potential

Philosophical Magazine

Volumn 89, Issue 34-36, 2009, Pages 3133-3161

  Rudd, Robert E ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

Bcc; Body centred cubic; Dynamic fracture; Finnis Sinclair potential; Molecular dynamics; Nanocrystalline tantalum; Void growth

Indexed keywords

BODY-CENTRED CUBIC; DYNAMIC FRACTURE; DYNAMIC FRACTURES; FINNIS-SINCLAIR POTENTIALS; NANOCRYSTALLINES; VOID GROWTH;

DISLOCATIONS (CRYSTALS); DUCTILE FRACTURE; DYNAMICS; METALS; MOLECULAR DYNAMICS; NIOBIUM; NUCLEATION; PLASTICITY; SINGLE CRYSTALS; TANTALUM;

STRAIN RATE;

EID: 72049126343     PISSN: 14786435     EISSN: 14786443     Source Type: Journal    
DOI: 10.1080/14786430903222529     Document Type: Article

References (69)

1. D.R. Curran, L. Seaman and D.A. Shockey, Phys. Rep. 147 (1987) p.253.
2. F.A. McClintock, J. Appl. Mech. 6 (1968) p.363.
3. J.R. Rice and D.M. Tracey, J. Mech. Phys. Solid. 17 (1969) p.201.
4. V. Tvergaard and A. Needleman, Acta Metall. 32 (1984) p.157.
5. E. Van Der Giessen, M.W.D. Van Der Burg, A. Needleman and V. Tvergaard, J. Mech. Phys. Solid. 43 (1995) p.123.
6. X.Y. Wu, K.T. Ramesh and T.W. Wright, J. Mech. Phys. Solid. 51 (2003) p.1.
7. X.Y. Wu, K.T. Ramesh and T.W. Wright, Int. J. Solid. Struct. 40 (2003) p.4461.
8. A.L. Stevens, L. Davison and W.E. Warren, J. Appl. Phys. 43 (1972) p.4922.
9. R.E. Rudd, E.T. Seppala, L.M. Dupuy and J. Belak, J. Computer Aided Mater. Des. 14 (2007) p.425.
10. J. Belak, J. Computer Aided Mater. Des. 5 (1998) p.193.
11. R.E. Rudd and J. Belak, Comp. Mater. Science 24 (2002) p.148.
12. W.G. Wolfer, Phil. Mag. A 58 (1988) p.285.
13. V.A. Lubarda, M.S. Schneider, D.H. Kalantar, B.A. Remington and M.A. Meyers, Acta Mater. 52 (2004) p.1397.
14. D.C. Ahn, P. Sofronis, M. Kumar, J. Belak and R. Minich, J. Appl. Phys. 101 (2007) p.063514.
15. R. Hill, The Mathematical Theory of Plasticity, Clarendon Press, Oxford, 1950.
16. A.L. Gurson, J. Eng. Mater. Tech. 99 (1977) p.2.
17. F.A. McClintock, Models of spall failure by hole growth, in Metallurgical Effects at High Strain Rates, R.W. Rhode, B.M. Butcher and J.R. Holland, eds., Plenum Press, New York, 1973.
18. A.E. Koniges, R.W. Anderson, P. Wang, B.T.N. Gunney, R. Becker, D.C. Eder and B.J. MacGowan, J. de Physique IV 133 (2006) p.587.
19. E.M. Bringa, K. Rosolankova, R.E. Rudd, B.A. Remington, J.S. Wark, M. Duchaineau, D.H. Kalantar and J. Belak, Nature Mater. 5 (2006) p.805.
20. T.C. Germann, K. Kadau and P.S. Lomdahl, 25 Top/s multibillion-atom molecular dynamics simulations and visualization/analysis on BlueGene/L, Proceedings of IEEE/ACM Supercomputing '05 (2005).
21. J.A. Moriarty, J.F. Belak, R.E. Rudd, P. Soderlind, F.H. Streitz and L.H. Yang, J. Phys. Condens. Matter 14 (2002) p.2825.
22. E.T. Seppala, J. Belak and R.E. Rudd, Phys. Rev. B 69 (2004) p.134101.
23. E.T. Seppala, J. Belak and R.E. Rudd, Molecular dynamics study of void growth and dislocations in dynamic fracture of FCC and BCC metals, in Dislocations, Plasticity and Metal Forming, Akhtar S. Khan, ed., NEAT Press, Maryland, 2003.
24. L.M. Dupuy and R.E. Rudd, Model. Simul. Mater. Sci. Eng. 14 (2006) p.229.
25. E.T. Seppala, J. Belak and R.E. Rudd, Phys. Rev. Lett. 93 (2004) p.245503.
26. E.T. Seppala, J. Belak and R.E. Rudd, Phys. Rev. B 71 (2005) p.064112.
27. Q. Wei, T. Jiao, K.T. Ramesh and E. Ma, Scripta Mater. 50 (2004) p.359.
28. Y.M. Wang, A.F. Jankowski and A.V. Hamza, Scripta Mater. 57 (2007) p.301.
29. J. Marian, W. Cai and V.V. Bulatov, Nature Mater. 3 (2004) p.158.
30. J.W. Christian and S. Mahajan, Prog. Mater. Sci. 39 (1995) p.1.
31. G.T. Gray III and A.D. Rollett, The high-strain rate and spallation response of tantalum, Ta-10W and T-111, in High Strain Rate Behavior of Refractory Metals and Alloys, R. Asfahani, E. Chen and A. Crowson, eds., TMS, Warrendale, PA, 1992.
32. M. Finnis and J. Sinclair, Phil. Mag. A 50 (1984) p.45.
33. A.P. Sutton, M.W. Finnis, D.G. Pettifor and Y. Ohta, J. Phys. C Solid State Phys. 21 (1988) p.35.
34. D.G. Pettifor, Phys. Rev. Lett. 63 (1989) p.2480.
35. M. Mrovec, D. Nguyen-Manh, D.G. Pettifor and V. Vitek, Phys. Rev. B 69 (2004) p.094115.
36. M. Mrovec, R. Groger, A.G. Bailey, D. Nguyen-Manh, C. Elsa?sser and V. Vitek, Phys. Rev. B 75 (2007) p.104119.
37. J.A. Moriarty, Phys. Rev. B 42 (1990) p.1609.
38. J.A. Moriarty, Phys. Rev. B 49 (1994) p.12431.
39. D.R. Mason, R.E. Rudd and A.P. Sutton, Comput. Phys. Comm. 160 (2004) p.140.
40. J.N. Glosli, K.J. Caspersen, D.F. Richards, R.E. Rudd, F.H. Streitz and J.A. Gunnels, Micron-scale Simulations of Kelvin-Helmholtz Instability with Atomistic Resolution, in Proc. Supercomputing 2007 (SC07), Reno, NV, Nov, 2007.
41. R.E. Rudd and J.Q. Broughton, Phys. State Solid. 217 (2000) p.251.
42. R.E. Rudd and J.Q. Broughton, Phys. Rev. B 72 (2005) p.144104.
43. G.J. Ackland and R. Thetford, Phil. Mag. A 56 (1987) p.15.
44. M. Parrinello and A. Rahman, J. Appl. Phys. 52 (1981) p.7182.
45. M.P. Allen and D.J. Tildesley, Computer Simulations of Liquids, Oxford University Press, Oxford, 1987.
46. M.A. Meyers, Dynamic Behavior of Materials, Wiley-Interscience, New York, 1994.
47. F.H. Streitz, J.N. Glosli and M.V. Patel, Phys. Rev. Lett. 96 (2006) p.225701.
48. F.H. Streitz, J.N. Glosli, M.V. Patel, B. Chan, R. Yates, B. de Supinski, J. Sexton and J. Gunnels, 100+TFlop solidification simulations on BlueGene/L, Proceedings of IEEE/ ACM Supercomputing '05 (2006).
49. R.E. Rudd, Mater. Sci. Forum 633-634 (2010) p.3.
50. For information on the Livermore Computing supercomputers, see: http://computing.llnl.gov/.
51. C.L. Kelchner, S.J. Plimpton and J.C. Hamilton, Phys. Rev. B 58 (1998) p.11085.
52. S.J. Zhou, D.M. Beazley, P.S. Lomdahl and B.L. Holian, Phys. Rev. Lett. 78 (1997) p.479.
53. F.F. Abraham, R. Walkup, H.J. Gao, M. Duchaineau, T. Diaz de la Rubia and M. Seager, Proc. Natl. Acad. Sci. USA 99 (2002) p.5783.
54. H. Goldstein, Classical Mechanics, 2nd ed., Addison-Wesley, Reading, MA, 1980.
55. H. Grimmer, Acta Cryst. A30 (1974) p.685.
56. D.J. Evans, Mol. Phys. 34 (1977) p.317.
57. J.P. Hirth and J. Lothe, Theory of Dislocations, 2nd ed., John Wiley, New York, 1992.
58. J.A. Zimmerman, E.B. Webb III, J.J. Hoyt, R.E. Jones, P.A. Klein and D.J. Bammann, Model. Simul. Mater. Sci. Eng. 12 (2004) p.S319.
59. A.E.H. Love, The Mathematical Theory of Elasticity, 4th ed., x 98, Dover, New York, 1944, p.142.
60. J.D. Eshelby, Proc. Royal Soc. A 241 (1957) p.376.
61. D. Hull and D.J. Bacon, Introduction to Dislocations, 3rd ed., Pergamon, Oxford, 1984.
62. G.I. Kanel, S.V. Razorenov, A.V. Utkin, V.E. Fortov, K. Baumung, H.U. Karow, D. Rusch and V. Licht, J. Appl. Phys. 74 (1993) p.7162.
63. H.E. Lorenzana, J.F. Belak, K.S. Bradley, E.M. Bringa, K.S. Budil, J.U. Cazamias, B. El-Dasher, J.A. Hawreliak, J. Hessler, K. Kadau, D.H. Kalantar, J.M. McNaney, D. Milathianaki, K. Rosolankova, D.C. Swift, M. Taravillo, T.W. Van Buuren, J.S. Wark and T. Diaz de la Rubia, Sci. Model. Simul. 15 (2008) p.159.
64. J. Belak, J. Computer Aided Mater. Des. 9 (2004) p.165.
65. J.W. Mitchell, in Growth and Perfection of Crystals, R.H. Doremus, B.W. Roberts and D. Turnbull, eds., John Wiley, New York, 1958, p.386.
66. P.B. Hirsch, A. Howie and M.J. Whelan, Phil. Trans. Roy. Soc. London Series A Math. Phys. Sci. 252 (1960) p.499.
67. D. Wolf, V. Yamakov, S.R. Phillpot and A.K. Mukherjee, Z. Metallkd 94 (2003) p.1091.
68. H. van Swygenhoven., M. Spaczer, A. Caro and D. Farkas, Phys. Rev. B 60 (1999) p.22.
69. D.B. Reisman, W.G. Wolfer and A. Elsholz, J. Appl. Phys. 93 (2003) p.8952.