Mechanical behavior of Σ tilt grain boundaries in nanoscale Cu and Al: A quasicontinuum study

Molecular simulations using the quasicontinuum method are performed to understand the mechanical response at the nanoscale of grain boundaries (GBs) under simple shear. The energetics and mechanical strength of 18 Sigma (I 10) symmetric tilt GBs and two Sigma asymmetric tilt GBs are investigated in Cu and Al. Special emphasis is placed on the evolution of far-field shear stresses under applied strain and related deformation mechanisms at zero temperature. The deformation of the boundaries is found to operate by three modes depending on the GB equilibrium configuration: GB sliding by uncorrelated atomic shuffling, nucleation of partial dislocations from the interface to the grains, and GB migration. This investigation shows that (1) the GB energy alone cannot be used as a relevant parameter to predict the sliding of nanoscale high-angle boundaries when no thermally activated mechanisms are involved; (2) the E structural unit present in the period of Sigma tilt GBs is found to be responsible for the onset of sliding by atomic shuffling; (3) GB sliding strength in the athermal limit shows slight variations between the different interface configurations, but has no apparent correlation with the GB structure; (4) the metal potential plays a determinant role in the relaxation of stress after sliding, but does not influence the GB sliding strength; here it is suggested that the metal potential has a stronger impact on crystal slip than on the intrinsic interface behavior. These findings provide additional insights on the role of GB structure in the deformation processes of nanocrystalline metals. (c) 2005 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.

[1]  W. Cai,et al.  Modeling of dislocation-grain boundary interactions in FCC metals , 2003 .

[2]  K. Jacobsen,et al.  Atomic-scale simulations of the mechanical deformation of nanocrystalline metals , 1998, cond-mat/9812102.

[3]  K. C. Mundim,et al.  Non-empirical study of the sliding process in the Σ 3 (1 1 1) grain boundary in tungsten , 2003 .

[4]  D. Wolf Structure-energy correlation for grain boundaries in F.C.C. metals—I. Boundaries on the (111) and (100) planes , 1989 .

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

[6]  M. Mayo,et al.  Structure and Mechanical Behavior of Bulk Nanocrystalline Materials , 1999 .

[7]  H. Van Swygenhoven,et al.  Dimples on Nanocrystalline Fracture Surfaces As Evidence for Shear Plane Formation , 2003, Science.

[8]  G. Palumbo,et al.  Practical applications for electrodeposited nanocrystalline materials , 1999 .

[9]  D. He,et al.  Deformation twins in nanocrystalline Al , 2003 .

[10]  R. W. Balluffi,et al.  Interfaces in crystalline materials , 2009 .

[11]  H. Van Swygenhoven,et al.  Atomistic simulation of dislocation emission in nanosized grain boundaries , 2003 .

[12]  G. Wilde,et al.  HRTEM observation of interfacial dislocations at faceted Al–Pb interfaces , 2004 .

[13]  R. Balluffi,et al.  Coincidence lattice model for the structure and energy of grain boundaries , 1981 .

[14]  J. C. Hamilton,et al.  Dislocation nucleation and defect structure during surface indentation , 1998 .

[15]  K. C. Mundim,et al.  Influence of many‐body interactions on resistance of a grain boundary with respect to a sliding shift , 2002 .

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

[17]  S. Takaki,et al.  Atomic-Level Observation of Disclination Dipoles in Mechanically Milled, Nanocrystalline Fe , 2002, Science.

[18]  S. G. Srinivasan,et al.  Deformation mechanism in nanocrystalline Al: Partial dislocation slip , 2003 .

[19]  Min Zhou,et al.  A new look at the atomic level virial stress: on continuum-molecular system equivalence , 2003, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[20]  M. Ortiz,et al.  Quasicontinuum analysis of defects in solids , 1996 .

[21]  D. Farkas REVIEW ARTICLE: Atomistic theory and computer simulation of grain boundary structure and diffusion , 2000 .

[22]  Alfredo Caro,et al.  Grain-boundary structures in polycrystalline metals at the nanoscale , 2000 .

[23]  P. Dang,et al.  Atomistic simulation of grain boundary sliding and migration , 1999 .

[24]  D. Wolf,et al.  Correlation between structure, energy, and ideal cleavage fracture for symmetrical grain boundaries in fcc metals , 1990 .

[25]  D. Wolf Structure-energy correlation for grain boundaries in f.c.c. metals—IV. Asymmetrical twist (general) boundaries , 1990 .

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

[27]  I. Ovid’ko,et al.  Triple junction nanocracks in deformed nanocrystalline materials , 2004 .

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

[29]  S. Namilae,et al.  Atomistic simulation of grain boundary sliding in pure and magnesium doped aluminum bicrystals , 2002 .

[30]  N. Kioussis,et al.  Monte Carlo Simulations of Grain Boundary Sliding and Migration: Effect of Temperature and Vacancy , 2000 .

[31]  Xuemei Cheng,et al.  Deformation Twinning in Nanocrystalline Aluminum , 2003, Science.

[32]  J. Molinari,et al.  Incidence of atom shuffling on the shear and decohesion behavior of a symmetric tilt grain boundary in copper , 2004 .

[33]  T. Nieh,et al.  Tension/compression strength asymmetry in a simulated nanocrystalline metal , 2004 .

[34]  Y. Mishin,et al.  Interaction of Point Defects with Grain Boundaries in fcc Metals , 2003 .

[35]  Subra Suresh,et al.  Deformation of electrodeposited nanocrystalline nickel , 2003 .

[36]  W. W. Milligan,et al.  Observation and measurement of grain rotation and plastic strain in nanostructured metal thin films , 1995 .

[37]  The incidence of symmetric tilt grain boundaries in polycrystalline thin films of gold , 1996 .

[38]  J. Hirth,et al.  Effect of extrinsic grain-boundary defects on grain-boundary sliding resistance , 1999 .

[39]  Subra Suresh,et al.  Mechanical behavior of nanocrystalline metals and alloys , 2003 .

[40]  Foiles,et al.  Embedded-atom-method functions for the fcc metals Cu, Ag, Au, Ni, Pd, Pt, and their alloys. , 1986, Physical review. B, Condensed matter.

[41]  H. Van Swygenhoven,et al.  Stacking fault energies and slip in nanocrystalline metals , 2004, Nature materials.

[42]  K. Jacobsen,et al.  A Maximum in the Strength of Nanocrystalline Copper , 2003, Science.

[43]  Y. Mishin,et al.  Atomistic Modeling of Point Defects and Diffusion in Copper Grain Boundaries , 2003 .

[44]  Lei Lu,et al.  Ultrahigh Strength and High Electrical Conductivity in Copper , 2004, Science.

[45]  D. Wolf,et al.  Deformation-mechanism map for nanocrystalline metals by molecular-dynamics simulation , 2004, Nature materials.

[46]  V. Heine,et al.  Sliding mechanisms in aluminum grain boundaries , 1997 .

[47]  K. Jacobsen,et al.  Simulations of intergranular fracture in nanocrystalline molybdenum , 2004 .

[48]  J. Schiøtz Mechanical deformation of nanocrystalline materials , 1996 .

[49]  K. Jacobsen,et al.  Softening of nanocrystalline metals at very small grain sizes , 1998, Nature.

[50]  David L. McDowell,et al.  Non-local separation constitutive laws for interfaces and their relation to nanoscale simulations , 2004 .

[51]  H. V. Swygenhoven,et al.  Role of low and high angle grain boundaries in the deformation mechanism of nanophase Ni: A molecular dynamics simulation study , 1998 .

[52]  E. A. Stach,et al.  Grain Boundary-Mediated Plasticity in Nanocrystalline Nickel , 2004, Science.

[53]  D. Seidman,et al.  〈110〉 symmetric tilt grain-boundary structures in fcc metals with low stacking-fault energies , 1996 .

[54]  Michael Ortiz,et al.  Quasicontinuum simulation of fracture at the atomic scale , 1998 .

[55]  J. Markmann,et al.  Deformation twinning in nanocrystalline Pd , 2004 .

[56]  Simon R. Phillpot,et al.  Length-scale effects in the nucleation of extended dislocations in nanocrystalline Al by molecular-dynamics simulation , 2001 .

[57]  Peter M. Derlet,et al.  Grain-boundary sliding in nanocrystalline fcc metals , 2001 .

[58]  D. Wolf,et al.  Structure-energy correlation for grain boundaries in F.C.C. metals—III. Symmetrical tilt boundaries , 1990 .

[59]  V. Randlè Overview No. 127The role of the grain boundary plane in cubic polycrystals , 1998 .

[60]  S. Phillpot,et al.  Deformation twinning in nanocrystalline Al by molecular-dynamics simulation , 2002 .

[61]  R. Hoagland,et al.  The relation between grain-boundary structure and sliding resistance , 2002 .

[62]  Sanders,et al.  Are nanophase grain boundaries anomalous? , 1995, Physical review letters.

[63]  Mark F. Horstemeyer,et al.  A multiscale analysis of fixed-end simple shear using molecular dynamics, crystal plasticity, and a macroscopic internal state variable theory , 2003 .