41 citations · 229 across the 27 of their papers we have counts for
6 papers · 1 filter
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…
Phase field model for self-climb of prismatic dislocation loops by vacancy pipe diffusion
Xiaohua Niu, Yang Xiang, Xiaodong Yan
In this paper, we present a phase field model for the self-climb motion of prismatic dislocation loops via vacancy pipe diffusion driven by elastic interactions. This conserved dyn…
Perfectly matched layer method for optical modes in dielectric cavities
Tianpeng Jiang, Yang Xiang
The optical resonance problem is similar to but different from time-steady Schrödinger equation. One big challenge is that the eigenfunctions in resonance problem is exponentially…
Energy Scaling and Asymptotic Properties of One-Dimensional Discrete System with Generalized Lennard--Jones Interaction
Tao Luo, Yang Xiang, Nung Kwan Yip
It is well known that elastic effects can cause surface instability. In this paper, we analyze a one-dimensional discrete system which can reveal pattern formation mechanism resemb…
Stochastic Peierls-Nabarro Model for Dislocations in High Entropy Alloys
Tianpeng Jiang, Yang Xiang, Luchan Zhang
High entropy alloys (HEAs) are single phase crystals that consist of random solid solutions of multiple elements in approximately equal proportions. This class of novel materials h…
A New Formulation of Coupling and Sliding Motions of Grain Boundaries Based on Dislocation Structure
Luchan Zhang, Yang Xiang
A continuum model of the two dimensional low angle grain boundary motion and the dislocation structure evolution on the grain boundaries has been developed in Ref. [48]. The model…