Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

A comparison of different continuum approaches in modeling mixed-type dislocations in Al

Journal Article · · Modelling and Simulation in Materials Science and Engineering
 [1];  [1];  [2];  [3];  [2];  [1]
  1. Univ. of California, Santa Barbara, CA (United States)
  2. Max-Planck-Institut für Eisenforschung GmbH, Düsseldorf (Germany); RWTH Aachen Univ. (Germany)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Mixed-type dislocations are common in metals and play a vital role in their plastic deformation. Key characteristics of mixed-type dislocations cannot simply be extrapolated from those of dislocations with pure edge or pure screw characters. Yet, mixed-type dislocations traditionally received disproportionately less attention in the modeling and simulation community. Here, we explore core structures of mixed-type dislocations in Al using three continuum approaches, namely, the phase-field dislocation dynamics (PFDD) method, the atomistic phase-field microelasticity (APFM) method, and the concurrent atomistic-continuum (CAC) method. Results are benchmarked against molecular statics. We advance the PFDD and APFM methods in several aspects such that they can better describe the dislocation core structure. In particular, in these two approaches, the gradient energy coefficients for mixed-type dislocations are determined based on those for pure-type ones using a trigonometric interpolation scheme, which is shown to provide better prediction than a linear interpolation scheme. The dependence of the in-slip-plane spatial numerical resolution in PFDD and CAC is also quantified.
Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1544737
Alternate ID(s):
OSTI ID: 22924430
Report Number(s):
LA-UR--19-21670
Journal Information:
Modelling and Simulation in Materials Science and Engineering, Journal Name: Modelling and Simulation in Materials Science and Engineering Journal Issue: 7 Vol. 27; ISSN 0965-0393
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

References (56)

Fast Parallel Algorithms for Short-Range Molecular Dynamics journal March 1995
Comparing EAM Potentials to Model Slip Transfer of Sequential Mixed Character Dislocations Across Two Symmetric Tilt Grain Boundaries in Ni journal March 2017
Pressure Dependence of the Peierls Stress in Aluminum journal March 2018
A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals journal December 2002
Nanoscale phase field microelasticity theory of dislocations: model and 3D simulations journal June 2001
Phase field model of dislocation networks journal May 2003
Incorporation of γ-surface to phase field model of dislocations: simulating dislocation dissociation in fcc crystals journal February 2004
A generalized Peierls–Nabarro model for curved dislocations and core structures of dislocation loops in Al and Cu journal April 2008
Phase field modeling of defects and deformation journal February 2010
Predicting structure and energy of dislocations and grain boundaries journal August 2014
Coarse-grained elastodynamics of fast moving dislocations journal February 2016
Shear stress- and line length-dependent screw dislocation cross-slip in FCC Ni journal January 2017
Mobility of dislocations in Aluminum: Faceting and asymmetry during nanoscale dislocation shear loop expansion journal April 2019
Sequential obstacle interactions with dislocations in a planar array journal August 2019
Dynamic behaviour of mixed dislocations in FCC metals under multi-oriented loading with molecular dynamics simulations journal September 2017
A spatial decomposition parallel algorithm for a concurrent atomistic-continuum simulator and its preliminary applications journal March 2018
Analytic model of the γ -surface deviation and influence on the stacking fault width between partial dislocations journal May 2018
Concurrent atomistic–continuum simulations of dislocation–void interactions in fcc crystals journal February 2015
A quasistatic implementation of the concurrent atomistic-continuum method for FCC crystals journal September 2015
Mobility law of dislocations with several character angles and temperatures in FCC aluminum journal March 2017
Mesh refinement schemes for the concurrent atomistic-continuum method journal July 2016
Coarse-grained atomistic simulation of dislocations journal February 2011
Atomistically determined phase-field modeling of dislocation dissociation, stacking fault formation, dislocation slip, and reactions in fcc systems journal April 2015
Theoretical and computational comparison of models for dislocation dissociation and stacking fault/core formation in fcc crystals journal October 2016
An analysis of key characteristics of the Frank-Read source process in FCC metals journal November 2016
Stacking fault emission from grain boundaries: Material dependencies and grain size effects journal April 2014
Nanoindentation/scratching at finite temperatures: Insights from atomistic-based modeling journal February 2019
Dislocation core fields and forces in FCC metals journal April 2004
Peierls stress in face-centered-cubic metals predicted from an improved semi-discrete variation Peierls-Nabarro model journal July 2016
Edge dislocations bowing out from a row of collinear obstacles in Al journal October 2016
Sequential slip transfer of mixed-character dislocations across Σ3 coherent twin boundary in FCC metals: a concurrent atomistic-continuum study journal January 2016
Improved phase field model of dislocation intersections journal April 2018
Reformulation of microscopic balance equations for multiscale materials modeling journal April 2009
Unprecedented grain size effect on stacking fault width journal September 2013
Concurrent atomistic-continuum simulations of uniaxial compression of gold nano/submicropillars journal May 2018
Modeling dislocations and heat conduction in crystalline materials: atomistic/continuum coupling approaches journal June 2018
Dislocation and stacking fault core fields in fcc metals journal December 2005
Mesoscale modeling of dislocations in molecular crystals journal February 2011
Phase-field-based calculations of the disregistry fields of static extended dislocations in FCC metals journal February 2019
A multi-phase field model of planar dislocation networks journal September 2004
Atomistic simulations of dislocation mobility in Al, Ni and Al/Mg alloys journal March 2005
Asymmetry of the atomic-level stress tensor in homogeneous and inhomogeneous materials
  • Rigelesaiyin, Ji; Diaz, Adrian; Li, Weixuan
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 474, Issue 2217 https://doi.org/10.1098/rspa.2018.0155
journal September 2018
Understanding dislocation mechanics at the mesoscale using phase field dislocation dynamics
  • Beyerlein, I. J.; Hunter, A.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 374, Issue 2066 https://doi.org/10.1098/rsta.2015.0166
journal April 2016
Interatomic potentials for monoatomic metals from experimental data and ab initio calculations journal February 1999
Effect of core energy on mobility in a continuum dislocation model journal March 2011
Influence of the stacking fault energy surface on partial dislocations in fcc metals with a three-dimensional phase field dislocations dynamics model journal October 2011
Atomistic calculations of dislocation core energy in aluminium journal February 2017
Atomistic-to-continuum description of edge dislocation core: Unification of the Peierls-Nabarro model with linear elasticity journal August 2018
Implicit Integration of the Time-Dependent Ginzburg--Landau Equations of Superconductivity journal January 2002
Large-Scale 3D Phase Field Dislocation Dynamics Simulations On High-Performance Architectures journal November 2010
Toward a 3D coupled atomistic and discrete dislocation dynamics simulation: dislocation core structures and Peierls stresses with several character angles in FCC aluminum journal June 2015
The origin of the distinction between microscopic formulas for stress and Cauchy stress journal November 2016
PyCAC: The concurrent atomistic-continuum simulation environment journal January 2018
Modeling Plastic Deformation of Nano/Submicron-Sized Tungsten Pillars Under Compression: a Coarse-Grained Atomistic Approach journal January 2018
Validation of the Concurrent Atomistic-Continuum Method on Screw Dislocation/Stacking Fault Interactions journal April 2017
Atomistic simulations of dislocation mobility in Al, Ni and Al/Mg alloys text January 2004

Cited By (1)

Density functional theory calculations of generalized stacking fault energy surfaces for eight face-centered cubic transition metals journal September 2019

Figures / Tables (12)