41 citations · 229 across the 27 of their papers we have counts for
27 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 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…
A Continuum Model for Dislocation Climb
Chutian Huang, Shuyang Dai, Xiaohua Niu +4
Dislocation climb plays an important role in understanding plastic deformation of metallic materials at high temperature. In this paper, we present a continuum formulation for disl…
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…
Bunching instability and asymptotic properties in epitaxial growth with elasticity effects: continuum model
Tao Luo, Yang Xiang, Nung Kwan Yip
We study the continuum epitaxial model for elastic interacting atomic steps on vicinal surfaces proposed by Xiang and E (Xiang, SIAM J. Appl. Math. 63:241-258, 2002; Xiang and E, P…
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…