Connecting molecular dynamics and dislocation dynamics to continuum in hierarchical simulations of microcracks in solids

Materials Science Research International

Volumn 5, Issue 4, 1999, Pages 241-247

  Nakatani, Akihiro ^a   Kitagawa, Hiroshi ^a   Yip, Sidney ^b  

^a OSAKA UNIVERSITY   (Japan)

^b Massachusetts Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL MICROSTRUCTURE; DEFORMATION; DISLOCATIONS (CRYSTALS); ELECTRONIC STRUCTURE; FINITE ELEMENT METHOD; IRON; MICROCRACKS; MOLECULAR DYNAMICS; MONTE CARLO METHODS; NUCLEATION; PLASTICITY; STRESS ANALYSIS;

DISLOCATION DYNAMICS;

CONTINUUM MECHANICS;

EID: 0033316007     PISSN: 13411683     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (33)

1. See the set of reviews edited by E. Kaxiras and S. Yip, Current Opinion in Solid State & Mater. Sci., 3 (1998) 523.
2. F. E. Abraham, J. Q. Broughton, N. Bernstein and E. Kaxiras, Computers in Phys., 12 (1998) 538.
3. A. S. Argon, G. Xu and M. Ortiz, Mat. Res. Soc. Symp. Proc., 409 (1996) 29.
4. P. Gumbsch, Science, 279 (1998) 1489.
5. V. V. Bulatov, S. Yip and T. Arias, J. Computer-Aided Mater. Design, 3 (1996) 61.
6. G. H. Campbell et al. Mater. Sci. Eng. A, 251 (1998) 1.
7. R. Phillips, Current Opinion in Solid State & Mater. Sci., 3 (1998) 526.
8. V. Bulatov, F. F. Abraham, L. Kubin, B. Devincre and S. Yip, Nature, 391 (1998) 669.
9. W. Cai, V. V. Bulatov, J. F. Justo, S. Yip and A.S. Argon, Mat. Res. Soc. Symp. Proc., 538 (1999), in press.
10. N. Soneda and T. Diaz de la Rubia, Phil. Mag., 78 (1998) 995.
11. F. Cleri, S. Yip, D. Wolf and S. R. Phillpot, Phys. Rev. Lett., 79 (1997) 1309.
12. A. Nakatani, H. Kitagawa and M. Sugizaki Trans. Japan Soc. Mech. Engr, Ser. A, 65 (1999) 575.
13. A. S. Argon, Acta metall., 35 (1987) 185.
14. J. R. Rice, J. Mech. Phys. Solids, 40 (1992) 239.
15. K. S. Cheung and S. Yip, Phys. Rev. Lett., 65 (1990) 2804.
16. K. S. Cheung and S. Yip, Modell. Simul. Mater. Sci. Eng., 2 (1994) 865.
17. J. R. Rice and R. Thomson, Phil. Mag., 29 (1974) 73.
18. A. A. Griffith, Phil. Trans. R. Soc. London A, 221 (1920) 163.
19. G. Xu, A. S. Argon and M. Ortiz, Phil. Mag. A, 75 (1997) 341.
20. K. S. Cheung and S. Yip, J. Appl. Phys., 70 (1991) 5688.
21. See, for example, B. Devincre and L. P. Kubin Mater. Sci. Eng. A, 234-236 (1997) 8.
22. V. V. Bulatov and L. P. Kubin, Current Opinion in Solid State & Mater. Sci., 3 (1998) 558.
23. A. Nakatani, H. Kitagawa and M. Sugizaki Mesoscopic Dynamics of Fracture (eds. H. Kitagawa, et al.), Springer Verlag, Berlin (1998) p. 143.
24. H. Suzuki, Introduction to Dislocation Theory, Agne Tokyo (1967) (in Japanese).
25. A. Nakatani, H. Kitagawa, K. Nakatani and Y. Shibutani, in Book of Abstracts of 7th Int. Conf. Mechanical Behaviour of Materials, Delft, Netherland, (1995) 460.
26. A. Nakatani, H. Kitagawa and K. Nakatani, J. Soc. Mat. Sci. Jpn , 46 (1997) 619 (in Japanese).
27. H. Kitagawa and A. Nakatani, Constitutive Relations for Finite Deformation of Polycrystalline Metals (eds. R. Wang and D. C. drucker), Springer Verlag, Berlin (1992) p. 220.
28. J. R. Rice, D. E. Hawk and R. J. Asaro, Int. J. Fract., 42 (1990) 301.
29. R. Mohan, M. Ortiz and C. F. Shih, J. Mech. Phys. Solids, 40 (1992) 313.
30. K. S. Cheung, Ph.D. Thesis, Massachusetts Institute of Technology (1990).
31. F. A. McClintock and A. S. Argon, Mechanical Behavior of Material, Addison Wesley, Reading (1966).
32. E. B. Tadmor, M. Ortiz and R. Phillips, Phil. Mag. A, 73 (1996) 1529.
33. Y. Shibutani, G. L. Krasko, M. Sob and S. Yip, Materials Science Research International, 5 (1999).