Analysis and minimization of dislocation interactions with atomistic/continuum interfaces

Spurious forces are shown to arise when dislocations interact with atom/continuum interfaces in some classes of multiscale models due to the use of linear elasticity in continuum descriptions of the material deformations and/or the singular dislocation fields. For Al, such forces can reach 500MPa for dislocations within a few Angstroms of the interface and can remain significant at distances of similar to 20 angstrom on the atomistic side and similar to 15 angstrom on the continuum side of the interface, inhibiting the creation of truly seamless coupling. Replacement of the continuum representation of the dislocation displacement fields by a 'template' of the full atomistic displacement fields within a radius of R-core = 50 angstrom is shown to significantly reduce the magnitude and range of the spurious forces. Implementation of the template method permits dislocations to approach within less than 10 angstrom of the interface from both atomistic and continuum sides, permitting higher accuracy in the multiscale simulations as well as reduced size of the atomistic region.

[1]  H. Fischmeister,et al.  Crack propagation in b.c.c. crystals studied with a combined finite-element and atomistic model , 1991 .

[2]  L. P. Kubin,et al.  The modelling of dislocation patterns , 1992 .

[3]  James B. Adams,et al.  Interatomic Potentials from First-Principles Calculations: The Force-Matching Method , 1993, cond-mat/9306054.

[4]  van der Erik Giessen,et al.  Discrete dislocation plasticity: a simple planar model , 1995 .

[5]  K. Schwarz,et al.  INTERACTION OF DISLOCATIONS ON CROSSED GLIDE PLANES IN A STRAINED EPITAXIAL LAYER , 1997 .

[6]  M. Ortiz,et al.  An adaptive finite element approach to atomic-scale mechanics—the quasicontinuum method , 1997, cond-mat/9710027.

[7]  Robert E. Rudd,et al.  COARSE-GRAINED MOLECULAR DYNAMICS AND THE ATOMIC LIMIT OF FINITE ELEMENTS , 1998 .

[8]  J. Simmons,et al.  Green's function boundary conditions in two-dimensional and three-dimensional atomistic simulations of dislocations , 1998 .

[9]  E. B. Tadmor,et al.  Quasicontinuum models of interfacial structure and deformation , 1998 .

[10]  Hussein M. Zbib,et al.  On plastic deformation and the dynamics of 3D dislocations , 1998 .

[11]  W. Cai,et al.  Minimizing boundary reflections in coupled-domain simulations. , 2000, Physical review letters.

[12]  J. Q. Broughton,et al.  Concurrent Coupling of Length Scales in Solid State Systems , 2000 .

[13]  Alfredo Caro,et al.  Grain boundary structure and its influence on plastic deformation of polycrystalline FCC metals at the nanoscale : A molecular dynamics study , 2001 .

[14]  William A. Curtin,et al.  A coupled atomistic/continuum model of defects in solids , 2002 .

[15]  Ronald E. Miller,et al.  The Quasicontinuum Method: Overview, applications and current directions , 2002 .

[16]  L E Shilkrot,et al.  Coupled atomistic and discrete dislocation plasticity. , 2002, Physical review letters.

[17]  Simon R. Phillpot,et al.  Dislocation processes in the deformation of nanocrystalline aluminium by molecular-dynamics simulation , 2002, Nature materials.

[18]  Ronald E. Miller,et al.  Atomistic/continuum coupling in computational materials science , 2003 .

[19]  Ellad B. Tadmor,et al.  Deformation twinning at aluminum crack tips , 2003 .

[20]  William A. Curtin,et al.  Multiscale plasticity modeling: coupled atomistics and discrete dislocation mechanics , 2004 .

[21]  S. Rao,et al.  Ab-initio simulation of (a/2)⟨110] screw dislocations in γ-TiAl , 2004 .

[22]  William A. Curtin,et al.  A coupled atomistics and discrete dislocation plasticity simulation of nanoindentation into single crystal thin films , 2004 .

[23]  D. Farkas Twinning and recrystallisation as crack tip deformation mechanisms during fracture , 2005 .

[24]  David L. Olmsted,et al.  Atomistic simulations of dislocation mobility in Al, Ni and Al/Mg alloys , 2005 .

[25]  Shaoxing Qu,et al.  A finite-temperature dynamic coupled atomistic/discrete dislocation method , 2005 .