Mesoscale model of dislocation motion and crystal plasticity

Abstract

A consistent, small scale description of plastic motion in a crystalline solid is presented based on a phase field description. By allowing for independent mass motion given by the phase field, and lattice distortion, the solid can remain in mechanical equilibrium on the timescale of plastic motion. Singular (incompatible) strains are determined by the phase field, to which smooth distortions are added to satisfy mechanical equilibrium. A numerical implementation of the model is presented, and used to study a benchmark problem: the motion of an edge dislocation dipole in a hexagonal lattice. The time dependence of the dipole separation agrees with classical elasticity without any adjustable parameters.

arXiv comment5 pages, 3 figures

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Cited by in corpus (25)

• A coarse-grained phase-field crystal model of plastic motion
• Landau theory of crystal plasticity
• Closing the gap between atomic-scale lattice deformations and continuum elasticity
• A phase field crystal theory of the kinematics of dislocation lines
• Coarse-grained modeling of crystals by the amplitude expansion of the phase-field crystal model: an overview
• Jerky active matter: a phase field crystal model with translational and orientational memory
• An efficient numerical framework for the amplitude expansion of the phase-field crystal model
• Mesoscale Defect Motion in Binary Systems: Effects of Compositional Strain and Cottrell Atmospheres
• Field Dislocation Mechanics and Phase Field Crystal models
• Stress in ordered systems: Ginzburg-Landau type density field theory
• Spontaneous shrinkage of droplet on wetting surface in phase-field model
• Mechanical relaxation and fracture of phase field crystals
• Kinematics and dynamics of disclination lines in three-dimensional nematics
• Hydrodynamic phase field crystal approach to interfaces, dislocations, and multi-grain networks
• Dislocation nucleation in the phase field crystal model
• Grain rotation and coupled grain boundary motion in two-dimensional binary hexagonal materials
• Minimal phase-field crystal modeling of vapor-liquid-solid coexistence and transitions
• Yielding and jerky plasticity of tilt grain boundaries in high-temperature graphene
• The elastic inclusion problem in the (amplitude) phase field crystal model
• Elasticity versus phase field driven motion in the phase field crystal model
• Amplitude expansion of the phase-field crystal model for complex crystal structures
• Hybrid-PFC: coupling the phase-field crystal model and its amplitude-equation formulation
• A Non-Isothermal Phase-Field Crystal Model with Lattice Expansion: Analysis and Benchmarks
• Mesoscale modeling of deformations and defects in thin crystalline sheets
• Explicit temperature coupling in phase-field crystal models of solidification