Mesoscale Defect Motion in Binary Systems: Effects of Compositional Strain and Cottrell Atmospheres

Abstract

The velocity of dislocations is derived analytically to incorporate and predict the intriguing effects induced by the preferential solute segregation and Cottrell atmospheres in both two-dimensional and three-dimensional binary systems of various crystalline symmetries. The corresponding mesoscopic description of defect dynamics is constructed through the amplitude formulation of the phase-field crystal model which has been shown to accurately capture elasticity and plasticity in a wide variety of systems. Modifications of the Peach-Koehler force as a result of solute concentration variations and compositional stresses are presented, leading to interesting new predictions of defect motion due to effects of Cottrell atmospheres. These include the deflection of dislocation glide paths, the variation of climb speed and direction, and the change or prevention of defect annihilation, all of which play an important role in determining the fundamental behaviors of complex defect network and dynamics. The analytic results are verified by numerical simulations.

arXiv comment6 pages, 4 figures, supplementary information (4 pages) enclosed

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Cited by in corpus (12)

• 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
• Perspective: New directions in dynamical density functional theory
• Grain rotation and coupled grain boundary motion in two-dimensional binary hexagonal materials
• Defect dynamics in active smectics induced by confining geometry and topology
• The elastic inclusion problem in the (amplitude) phase field crystal model
• Amplitude expansion of the phase-field crystal model for complex crystal structures
• Control of phase ordering and elastic properties in phase field crystals through three-point direct correlation
• Magnetic APFC modeling and the influence of magneto-structural interactions on grain shrinkage
• Mesoscale Field Theory for Quasicrystals
• Atomic ordering and phase separation in lateral heterostructures and multijunctions of ternary two-dimensional hexagonal materials
• Mesoscale modeling of deformations and defects in thin crystalline sheets