activity
20202026
collaborators

6 papers

math.AP2026

Analysis validation of a new continuum model for the evolution of grain boundaries in polycrystalline materials

Peicheng Zhu, Xiaoxue Qin, Yang Xiang

To describe the evolution of grain boundaries based on the underlying microscopic mechanisms of line defects (disconnections) and the integrated effects of a diverse range of therm…

cond-mat.mtrl-sci2024

A unified variational model for grain boundary dynamics incorporating microscopic structure

Luchan Zhang, Xiaoxue Qin, Yang Xiang

Recent experiments, atomistic simulations, and theoretical predictions have identified various new types of grain boundary motions that are controlled by the dynamics of underlying…

math.NA2023

A threshold dislocation dynamics method

Xiaoxue Qin, Alfonso H. W. Ngan, Yang Xiang

The Merriman-Bence-Osher threshold dynamics method is an efficient algorithm to simulate the motion by mean curvature. It has the advantages of being easy to implement and with hig…

cond-mat.mtrl-sci2021

A Three-Dimensional Continuum Simulation Method for Grain Boundary Motion Incorporating Dislocation Structure

Xiaoxue Qin, Luchan Zhang, Yang Xiang

We develop a continuum model for the dynamics of grain boundaries in three dimensions that incorporates the motion and reaction of the constituent dislocations. The continuum model…

cond-mat.mtrl-sci2021

Continuum Model and Numerical Method for Dislocation Structure and Energy of Grain Boundaries

Xiaoxue Qin, Yejun Gu, Luchan Zhang +1

We present a continuum model to determine the dislocation structure and energy of low angle grain boundaries in three dimensions. The equilibrium dislocation structure is obtained…

cond-mat.mtrl-sci2020

Continuum model for dislocation structures of semicoherent interfaces

Luchan Zhang, Xiaoxue Qin, Yang Xiang

In order to relieve the misfitting elastic energy, the hetero-interfaces become semicoherent by forming networks of dislocations. These microscopic structures strongly influence th…