Seminar:3D Continuum Modeling and Simulation of Grain Boundaries

Seminar| Institute of Mathematical Sciences

Time:Monday, May 5th, 2025,11:00-12:00

Abstract:We have developed a range of continuum models that describe the structure and dynamics of low angle grain boundaries in three dimensions. The static model minimizes grain boundary energy according to Frank's formula constraints, while the dynamic model includes the motion and reactions of dislocations. We have developed numerical algorithms based on the projection method. In comparing our simulation results with atomistic simulations, it is evident that our model accurately predicts the dislocation structure, energy profiles of grain boundaries, and their dynamics. These findings highlight the potential of continuum models to enhance the understanding of material behavior and solid mechanics.