41 citations · 229 across the 27 of their papers we have counts for
4 papers · 1 filter
Convergence from Atomistic Model to Peierls-Nabarro Model for Dislocations in Bilayer System with Complex Lattice
Yahong Yang, Tao Luo, Yang Xiang
In this paper, we prove the convergence from the atomistic model to the Peierls--Nabarro (PN) model of two-dimensional bilayer system with complex lattice. We show that the displac…
Existence, uniqueness, and energy scaling of 2+1 dimensional continuum model for stepped epitaxial surfaces with elastic effects
Ganghua Fan, Tao Luo, Yang Xiang
We study the 2+1 dimensional continuum model for the evolution of stepped epitaxial surface under long-range elastic interaction proposed by Xu and Xiang (SIAM J. Appl. Math. 69, 1…
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…
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…