References
T.E. Mason and A.D. Taylor guest editors, “Neutron Scattering in Materials Research,” MRS Bull. 24 (12) (1999) pp. 14–47.
E. Wasserman L. Stixrude and R.E. Cohen Phys. Rev. B: Condens. Matter 53 (13) (1996) p.8296.
R.E. Cohen L. Stixrude and E. Wasserman Phys. Rev. B: Condens. Matter 56 (14) (1997) p.8575.
P. Soderlind and J.A. Moriarty Phys. Rev. B: Condens. Matter 57 (17) (1998) p.10340.
G. Steinle-Neumann, L. Stixrude and R.E. Cohen Phys. Rev. B: Condens. Matter 60 (2) (1999) p.791.
R.E. Cohen O. Gulseren and R.J. Hemley Am. Mineral. 85 (2)(2000) p.338.
T. Mura Micromechanics of Defects in Solids (Kluwer Academic Publishers, Boston, 1987).
M.I. Baskes R.G. Hoagland and A. Needleman, Mater. Sci. Eng., A 159 (1992) p.1.
P.R. Dawson A. Needleman and S. Suresh Mater. Sci. Eng., A 175 (1994) p.43.
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.
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.
V.V. Bulatov and L.P. Kubin Curr. Opin. Solid State Mater. Sci. 3 (6)(1998) p.558.
R. Phillips Curr. Opin. Solid State Mater. Sci. 3 (6)(1998) p.526.
M. Ortiz and R. Phillips Adv. Appl. Mech. 36 (1999) p.1.
R. Phillips D. Rodney V. Shenoy E. Tadmor and M. Ortiz Model. Simul. Mater. Sci. Eng. 7 (5)(1999) p.769.
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.
M.I. Baskes Curr. Opin. Solid State Mater. Sci. 4 (3)(1999) p.273.
R. Phillips Crystals, Defects and Microstruc-tures: Modeling across Scales (Cambridge University Press, Cambridge, 2000).
E.B. Tadmor M. Ortiz and R. Phillips Philos. Mag. A 73 (6)(1996) p.1529.
E.B. Tadmor R. Phillips and M. Ortiz Langmuir 12 (19) (1996) p.4529.
V.B. Shenoy R. Miller E.B. Tadmor R. Phillips and M. Ortiz Phys. Rev. Lett. 80 (4)(1998) p.742.
R. Miller E.B. Tadmor R. Phillips and M. Ortiz Model. Simul. Mater. Sci. Eng. 6 (5) (1998) p.607.
R. Miller M. Ortiz R. Phillips V. Shenoy and E.B. Tadmor Eng. Fracture Mech. 61 (3-4) (1998) p.427.
D. Rodney and R. Phillips Phys. Rev. Lett. 82 (8)(1999) p.1704.
V.B. Shenoy R. Miller E.B. Tadmor D. Rodney R. Phillips and M. Ortiz J.Mech. Phys. Solids 47 (3)(1999) p.611.
E.B. Tadmor R. Miller R. Phillips and M. Ortiz J.Mater. Res. 14 (6)(1999) p.2233.
V.B. Shenoy R. Phillips and E.B. Tadmor J.Mech. Phys. Solids 48 (4)(2000) p.649.
G.S. Smith E.B. Tadmor and E. Kaxiras Phys. Rev. Lett. 84 (2000) p.1260.
J. Knap and M. Ortiz “An Analysis of the Quasi-Continuum Method,” J. Mech. Phys. Solids (2001)in press.
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.
F. Ercolessi and J.B. Adams Europhys. Lett. 26 (8)(1994) p.583.
W. Zielinski H. Huang S. Venkataraman and W.W. Gerberich Philos. Mag. A 72 (1995) p.1221.
W.W. Gerberich J.C. Nelson E.T. Lilleodden P. Anderson and J.T. Wyrobek Acta Mater. 44 (1996) p.3585.
W.D. Nix Mater. Sci. Eng., A 234 (1997) p.37.
A. Gouldstone H.J. Koh K.Y. Zeng A.E. Giannakopoulos and S. Suresh Acta Mater. 48 (9)(2000) p.227.
J. Belak D.B. Boersker and I.F. Stowers MRS Bull. XVIII (5)(1993) p.55.
C.L. Kelchner S.J. Plimpton and J.C. Hamilton Phys. Rev. B 58 (17) (1998) p.11085.
R.A. Johnson Phys. Rev. B 37 (1988) p.3924.
R.A. Johnson Phys. Rev. B 39 (1989) p.12554.
M. Tang L.P. Kubin and G.R. Canova Acta Mater. 46 (9)(1998) p.3221.
M. Tang B. Devincre and L.P. Kubin Model. Simul. Mater. Sci. Eng. 7 (5)(1999) p.893.
W. Xu and J.A. Moriarty Comput. Mater. Sci. 9 (3-4) (1998) p.348.
G. Wang A. Strachan T. Cagin and W.A. Goddard III, Mater. Sci. Eng., A (2001) in press.
A. Strachan G. Wang T. Cagin and W.A. Goddard III (private communication, 2000).
M.I. Baskes R.G. Hoagland and T. Tsuji Model. Simul. Mater. Sci. Eng. 6 (1)(1998) p.9.
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.
L.P. Kubin B. Devincre and M. Tang J.Comput.-Aided Mater. Des. 5 (1998) p.31.
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.
V.B. Shenoy R.V. Kukta and R. Phillips Phys. Rev. Lett. 84 (7)(2000) p.1491.
H.M. Zbib T. Diaz de la Rubia, M. Rhee and J.P. Hirth J. Nucl. Mater. 276 (2000) p. 154.
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.
M. Ortiz and E.P. Popov Proc. R. Soc., London Ser. A 379 (1982) p.439.
S.R. Bodner and A. Lindenfeld Euro. J.Mech., A/Solids 14 (3)(1995) p.333.
J.P. Sethna K. Dahmen S. Kartha J.A. Krumhansl B.W. Roberts and J.D. Shore Phys. Rev. Lett. 70 (1993) p.3347.
K. Dahmen S. Kartha J.A. Krumhansl B.W. Roberts J.P. Sethna and J.D. Shore J.Appl. Phys. 75 (1994) p.5946.
W. Xu and J.A. Moriarty Phys. Rev. B 54 (10) (1996) p.6941.
S. Ismail-Beigi and T.A. Arias Phys. Rev. Lett. 84 (7)(2000) p.1499.
D. Olmsted and R. Phillips (unpublished).
M.S. Duesbery and W. Xu Scripta Mater. 39 (3)(1998) p.283.
Rights and permissions
About this article
Cite this article
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
Published:
Issue Date:
DOI: https://doi.org/10.1557/mrs2001.45