Equation of motion for grain boundaries in polycrystals

Abstract

Grain boundary (GB) dynamics are largely controlled by the formation and motion of disconnections (with step and dislocation characters) along with the GB. The dislocation character gives rise to shear coupling; i.e. the relative tangential motion of two grains meeting at the GB during GB migration. In a polycrystal, the shear coupling is constrained by the presence of other grains and GB junctions, which prevents large-scale sliding of one grain relative to the other. We present continuum equations of motion for GBs that is based upon the underlying disconnection dynamics and accounts for this mechanical constraint in polycrystals. This leads to a reduced-order (zero-shear constrained) model for GB motion that is easily implemented in a computationally efficient framework, appropriate for the large-scale simulation of the evolution of polycrystalline microstructures. We validated the proposed reduced-order model with direct comparisons to full multi-disconnection mode simulations.

Document Details

Document Type
Pub Defense Publication
Publication Date
May 06, 2021
Source ID
10.1038/s41524-021-00532-6

Entities

People

  • David J Srolovitz
  • Jian Han
  • Luchan Zhang
  • Yang Xiang

Organizations

  • Army Research Office
  • City University of Hong Kong
  • Research Grants Council, University Grants Committee

Tags

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Mechanics and Fluid Dynamics.
  • Powder metallurgy of Titanium alloys.