9 papers
A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials
Dongsong Tao, Luchan Zhang, David J. Srolovitz +2
The classical Frank-Bilby equation (FBE) is commonly used to predict the structure of interfaces in crystalline materials in terms of interfacial dislocation networks. However, in…
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…
Stochastic Continuum Models for High--Entropy Alloys with Short-range Order
Yahong Yang, Luchan Zhang, Yang Xiang
High entropy alloys (HEAs) are a class of novel materials that exhibit superb engineering properties. It has been demonstrated by extensive experiments and first principles/atomist…
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…
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…
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…
Grain boundary triple junction dynamics: a continuum disconnection model
Chaozhen Wei, Luchan Zhang, Jian Han +2
The microstructure of polycrystalline materials consists of networks of grain boundaries (GBs) and triple junctions (TJs), along which three GBs meet. The evolution of such microst…