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Mixed Atomistic-Continuum Models of Material Behavior: The Art of Transcending Atomistics and Informing Continua

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References

  1. T.E. Mason and A.D. Taylor guest editors, “Neutron Scattering in Materials Research,” MRS Bull. 24 (12) (1999) pp. 14–47.

    Article  Google Scholar 

  2. E. Wasserman L. Stixrude and R.E. Cohen Phys. Rev. B: Condens. Matter 53 (13) (1996) p.8296.

    Article  CAS  Google Scholar 

  3. R.E. Cohen L. Stixrude and E. Wasserman Phys. Rev. B: Condens. Matter 56 (14) (1997) p.8575.

    Article  CAS  Google Scholar 

  4. P. Soderlind and J.A. Moriarty Phys. Rev. B: Condens. Matter 57 (17) (1998) p.10340.

    Article  CAS  Google Scholar 

  5. G. Steinle-Neumann, L. Stixrude and R.E. Cohen Phys. Rev. B: Condens. Matter 60 (2) (1999) p.791.

    Article  CAS  Google Scholar 

  6. R.E. Cohen O. Gulseren and R.J. Hemley Am. Mineral. 85 (2)(2000) p.338.

    Article  CAS  Google Scholar 

  7. T. Mura Micromechanics of Defects in Solids (Kluwer Academic Publishers, Boston, 1987).

    Book  Google Scholar 

  8. M.I. Baskes R.G. Hoagland and A. Needleman, Mater. Sci. Eng., A 159 (1992) p.1.

    Article  Google Scholar 

  9. P.R. Dawson A. Needleman and S. Suresh Mater. Sci. Eng., A 175 (1994) p.43.

    Article  Google Scholar 

  10. M. Ortiz and C.F. Shih eds., in Proc. IUTAM Symp. on Computational Mechanics of Materials, published in Model. Simul. Mater. Sci. Eng. 2 (34) (May 1994) p.421.

    Google Scholar 

  11. G.H. Campbell S.M. Foiles H.C. Huang D.A. Hughes W.E. King D.H. Lassila D.J. Nikkel T. Diaz de la Rubia, J.Y. Shu and V.P. Smyshlyaev Mater. Sci. Eng., A 251 (12) (1998) p.1.

    Article  Google Scholar 

  12. V.V. Bulatov and L.P. Kubin Curr. Opin. Solid State Mater. Sci. 3 (6)(1998) p.558.

    Article  CAS  Google Scholar 

  13. R. Phillips Curr. Opin. Solid State Mater. Sci. 3 (6)(1998) p.526.

    Article  Google Scholar 

  14. M. Ortiz and R. Phillips Adv. Appl. Mech. 36 (1999) p.1.

    Google Scholar 

  15. R. Phillips D. Rodney V. Shenoy E. Tadmor and M. Ortiz Model. Simul. Mater. Sci. Eng. 7 (5)(1999) p.769.

    Article  CAS  Google Scholar 

  16. J.A. Moriarty W. Xu P. Soderlind J. Belak L.H. Yang and J. Zhu, Trans. ASME J.Eng. Mater. Technol. 121 (2)(1999) p.120.

    Article  CAS  Google Scholar 

  17. M.I. Baskes Curr. Opin. Solid State Mater. Sci. 4 (3)(1999) p.273.

    Article  CAS  Google Scholar 

  18. R. Phillips Crystals, Defects and Microstruc-tures: Modeling across Scales (Cambridge University Press, Cambridge, 2000).

    Google Scholar 

  19. E.B. Tadmor M. Ortiz and R. Phillips Philos. Mag. A 73 (6)(1996) p.1529.

    Article  Google Scholar 

  20. E.B. Tadmor R. Phillips and M. Ortiz Langmuir 12 (19) (1996) p.4529.

    Article  CAS  Google Scholar 

  21. V.B. Shenoy R. Miller E.B. Tadmor R. Phillips and M. Ortiz Phys. Rev. Lett. 80 (4)(1998) p.742.

    Article  CAS  Google Scholar 

  22. R. Miller E.B. Tadmor R. Phillips and M. Ortiz Model. Simul. Mater. Sci. Eng. 6 (5) (1998) p.607.

    Article  CAS  Google Scholar 

  23. R. Miller M. Ortiz R. Phillips V. Shenoy and E.B. Tadmor Eng. Fracture Mech. 61 (3-4) (1998) p.427.

    Article  Google Scholar 

  24. D. Rodney and R. Phillips Phys. Rev. Lett. 82 (8)(1999) p.1704.

    Article  CAS  Google Scholar 

  25. V.B. Shenoy R. Miller E.B. Tadmor D. Rodney R. Phillips and M. Ortiz J.Mech. Phys. Solids 47 (3)(1999) p.611.

    Article  Google Scholar 

  26. E.B. Tadmor R. Miller R. Phillips and M. Ortiz J.Mater. Res. 14 (6)(1999) p.2233.

    Article  CAS  Google Scholar 

  27. V.B. Shenoy R. Phillips and E.B. Tadmor J.Mech. Phys. Solids 48 (4)(2000) p.649.

    Article  CAS  Google Scholar 

  28. G.S. Smith E.B. Tadmor and E. Kaxiras Phys. Rev. Lett. 84 (2000) p.1260.

    Article  CAS  Google Scholar 

  29. J. Knap and M. Ortiz “An Analysis of the Quasi-Continuum Method,” J. Mech. Phys. Solids (2001)in press.

    Google Scholar 

  30. V. Shenoy V. Shenoy and R. Phillips in Multiscale Modeling of Materials, edited by V.V. Bulatov, T. Diaz de la Rubia, R. Phillips E. Kaxiras and N. Ghoniem (Mater. Res. Soc. Symp. Proc. 538, Warrendale, PA, 1999) p.465.

  31. F. Ercolessi and J.B. Adams Europhys. Lett. 26 (8)(1994) p.583.

    Article  CAS  Google Scholar 

  32. W. Zielinski H. Huang S. Venkataraman and W.W. Gerberich Philos. Mag. A 72 (1995) p.1221.

    Article  CAS  Google Scholar 

  33. W.W. Gerberich J.C. Nelson E.T. Lilleodden P. Anderson and J.T. Wyrobek Acta Mater. 44 (1996) p.3585.

    Article  CAS  Google Scholar 

  34. W.D. Nix Mater. Sci. Eng., A 234 (1997) p.37.

    Article  Google Scholar 

  35. A. Gouldstone H.J. Koh K.Y. Zeng A.E. Giannakopoulos and S. Suresh Acta Mater. 48 (9)(2000) p.227.

    Article  Google Scholar 

  36. J. Belak D.B. Boersker and I.F. Stowers MRS Bull. XVIII (5)(1993) p.55.

    Article  Google Scholar 

  37. C.L. Kelchner S.J. Plimpton and J.C. Hamilton Phys. Rev. B 58 (17) (1998) p.11085.

    Article  CAS  Google Scholar 

  38. R.A. Johnson Phys. Rev. B 37 (1988) p.3924.

    Article  CAS  Google Scholar 

  39. R.A. Johnson Phys. Rev. B 39 (1989) p.12554.

    Article  CAS  Google Scholar 

  40. M. Tang L.P. Kubin and G.R. Canova Acta Mater. 46 (9)(1998) p.3221.

    Article  CAS  Google Scholar 

  41. M. Tang B. Devincre and L.P. Kubin Model. Simul. Mater. Sci. Eng. 7 (5)(1999) p.893.

    Article  CAS  Google Scholar 

  42. W. Xu and J.A. Moriarty Comput. Mater. Sci. 9 (3-4) (1998) p.348.

    Article  CAS  Google Scholar 

  43. G. Wang A. Strachan T. Cagin and W.A. Goddard III, Mater. Sci. Eng., A (2001) in press.

    Google Scholar 

  44. A. Strachan G. Wang T. Cagin and W.A. Goddard III (private communication, 2000).

    Google Scholar 

  45. M.I. Baskes R.G. Hoagland and T. Tsuji Model. Simul. Mater. Sci. Eng. 6 (1)(1998) p.9.

    Article  Google Scholar 

  46. M. Rhee H.M. Zbib J.P. Hirth H. Huang and T. Diaz de la Rubia, Model. Simul. Mater. Sci. Eng. 6 (4)(1998) p.467.

    Article  CAS  Google Scholar 

  47. L.P. Kubin B. Devincre and M. Tang J.Comput.-Aided Mater. Des. 5 (1998) p.31.

    Article  CAS  Google Scholar 

  48. H.C. Huang N. Ghoniem T. Diaz de la Rubia, M. Rhee H. Zbib and J. Hirth Trans. ASME J.Eng. Mater. Technol. 121 (2)(1999) p.143.

    Article  Google Scholar 

  49. V.B. Shenoy R.V. Kukta and R. Phillips Phys. Rev. Lett. 84 (7)(2000) p.1491.

    Article  CAS  Google Scholar 

  50. H.M. Zbib T. Diaz de la Rubia, M. Rhee and J.P. Hirth J. Nucl. Mater. 276 (2000) p. 154.

    Article  CAS  Google Scholar 

  51. A.M. Cuitiño, M. Koslowski M. Ortiz and L. Stainier “APhase-Field Theory of Dislocation Dynamics, Strain Hardening and Hysteresis in Ductile Single Crystals at Low Temperatures,” Philos. Mag., A submitted for publication, 2000.

    Google Scholar 

  52. M. Ortiz and E.P. Popov Proc. R. Soc., London Ser. A 379 (1982) p.439.

    Article  Google Scholar 

  53. S.R. Bodner and A. Lindenfeld Euro. J.Mech., A/Solids 14 (3)(1995) p.333.

    Google Scholar 

  54. J.P. Sethna K. Dahmen S. Kartha J.A. Krumhansl B.W. Roberts and J.D. Shore Phys. Rev. Lett. 70 (1993) p.3347.

    Article  CAS  Google Scholar 

  55. K. Dahmen S. Kartha J.A. Krumhansl B.W. Roberts J.P. Sethna and J.D. Shore J.Appl. Phys. 75 (1994) p.5946.

    Article  CAS  Google Scholar 

  56. W. Xu and J.A. Moriarty Phys. Rev. B 54 (10) (1996) p.6941.

    Article  CAS  Google Scholar 

  57. S. Ismail-Beigi and T.A. Arias Phys. Rev. Lett. 84 (7)(2000) p.1499.

    Article  CAS  Google Scholar 

  58. D. Olmsted and R. Phillips (unpublished).

  59. M.S. Duesbery and W. Xu Scripta Mater. 39 (3)(1998) p.283.

    Article  Google Scholar 

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Ortiz, M., Cuitiño, A.M., Knap, J. et al. Mixed Atomistic-Continuum Models of Material Behavior: The Art of Transcending Atomistics and Informing Continua. MRS Bulletin 26, 216–221 (2001). https://doi.org/10.1557/mrs2001.45

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