Yang XIANG
项阳
PhD in Mathematics
New York University, 2001

Professor
Department of Mathematics

Director of Algorithms of Machine Learning and Autonomous Driving Research Laboratory



(852) 2358 7430
maxiang@ust.hk
Room 3425
Personal Web

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Google Scholar
l-tojxYAAAAJ

ORCID
0000-0002-7279-3711

ResearcherID
B-6304-2016

Scopus ID
55512770600




Research Interest Publications Projects Teaching Assignment RPG Supervision Space used




Research Interest

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Modeling and simulations in materials science
Data science and image science
Machine learning
Partial differential equations
Numerical analysis



Publications

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All Years 82 2022 1 2021 6 2020 7 2019 5 2018 6 2017 6 2016 51

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2022 1

A Three-Dimensional Continuum Simulation Method for Grain Boundary Motion Incorporating Dislocation Structure
Journal Of Scientific Computing, v. 90, (1), January 2022, article number 3
Qin, Xiaoxue; Zhang, Luchan; Xiang, Yang Article

2021 6

Boundary condition for dislocation dynamic simulation in BCC crystal
CSIAM Transactions on Applied Mathematics, v. 2, (1), March 2021, p. 175-194
Dai, Shuyang; Wang, Fengru; Xiang, Yang; Yang, Jerry Zhijian; Yuan, Cheng Article
Cauchy–Born rule and stability of crystalline solids at finite temperature
Communications in Mathematical Sciences, v. 19, (6), August 2021, p. 1461-1490
Luo, Tao; Xiang, Yang; Yang, Jerry Zhijian; Yuan, Cheng Article
Continuum model for dislocation structures of semicoherent interfaces
Computational Materials Science, v. 190, April 2021, article number 110277
Zhang, Luchan; Qin, Xiaoxue; Xiang, Yang Article
Energy Scaling and Asymptotic Properties of One-Dimensional Discrete System with Generalized Lennard-Jones (m, n) Interaction
Journal of Nonlinear Science, v. 31, (2), April 2021, article number 43
Luo, Tao; Xiang, Yang; Yip, Nung Kwan Article
Equation of motion for grain boundaries in polycrystals
npj Computational Materials, v. 7, (1), May 2021, article number 64
Zhang, Luchan; Han, Jian; Srolovitz, David J.; Xiang, Yang Article
Phase field model for self-climb of prismatic dislocation loops by vacancy pipe diffusion
International Journal of Plasticity, v. 141, June 2021, article number 102977
Niu, Xiaohua; Xiang, Yang; Yan, Xiaodong Article

2020 7

A new formulation of coupling and sliding motions of grain boundaries based on dislocation structure
SIAM Journal on Applied Mathematics, v. 80, (6), November 2020, p. 2365-2387
Zhang, Luchan; Xiang, Yang Article
Characterisation of dislocation patterning behaviour with a continuum dislocation dynamics model on two parallel slip planes equipped with a deep neural network resolving local microstructures
International Journal of Solids and Structures, v. 198, August 2020, p. 57-71
Zhou, Zhengcheng; Zhu, Yichao; Luo, Jing; Xiang, Yang; Guo, Xu Article
Grain Boundary Triple Junction Dynamics: A Continuum Disconnection Model
SIAM Journal on Applied Mathematics, v. 80, (3), 2020, p. 1101-1122
Wei, Chaozhen; Zhang, Luchan; Han, Jian; Srolovitz, David J.; Xiang, Yang Article
Perfectly matched layer method for optical modes in dielectric cavities
Physical Review A, v. 102, (5), 5 November 2020, article number 053704
Jiang, Tianpeng; Xiang, Yang Article
Revisit of the peierls-nabarro model for edge dislocations in Hilbert space
Discrete and Continuous Dynamical Systems - Series B, v. 26, (6), June 2021, p. 3177-3207
Gao, Yuan; Liu, Jian Guo; Luo, Tao; Xiang, Yang Article
Stochastic Peierls-Nabarro model for dislocations in high entropy alloys
SIAM Journal on Applied Mathematics, v. 80, (6), December 2020, p. 2496-2517
Jiang, Tianpeng; Xiang, Yang; Zhang, Luchan Article
An elastic interaction based loss function for medical image segmentation
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 12265 LNCS, 2020, p. 755-764
Lan, Yuan; Xiang, Yang; Zhang, Luchan Conference paper

2019 5

A Continuum Multi-Disconnection-Mode model for grain boundary migration
Journal of the Mechanics and Physics of Solids, v.133, December 2019, article number 103731
Wei, Chaozhen; Thomas, Spencer L.; Han, Jian; Srolovitz, David J.; Xiang, Yang Article
Disconnection Description of Triple-junction Motion
Proceedings of the National Academy of Sciences of the United States of America, v. 116, (18), April 2019, p. 8756-8765
Thomas, Spencer L.; Wei, Chaozhen; Han, Jian; Xiang, Yang; Srolovitz, David J. Article
Dislocation dynamics formulation for self-climb of dislocation loops by vacancy pipe diffusion
International Journal of Plasticity, v. 120, September 2019, p. 262-277
Niu, Xiaohua; Gu, Yejun; Xiang, Yang Article
Perturbation model for optical modes in deformed disks
Physical Review A, v. 99, (2), February 2019, article number 023847
Jiang, Tianpeng; Xiang, Yang Article
The Effect of Randomness on the Strength of High-entropy Alloys
Acta Materialia, v. 166, March 2019, p. 424-434
Zhang, Luchan; Xiang, Yang; Han, Jian; Srolovitz, David J. Article

2018 6

A Continuum Model for Distributions of Dislocations Incorporating Short-range Interactions
Communications in Mathematical Sciences, v. 16, (2), 2018, p. 491-522
Niu, Xiaohua; Zhu, Yichao; Dai, Shuyang; Xiang, Yang Article
From Atomistic Model to the Peierls-Nabarro Model with Gamma-surface for Dislocations
Archive for Rational Mechanics and Analysis, v. 230, (2), November 2018, p. 735-781
Luo, Tao; Ming, Pingbing; Xiang, Yang Article
Motion of grain boundaries incorporating dislocation structure
Journal of the Mechanics and Physics of Solids, v. 117, August 2018, p. 157-178
Zhang, Luchan; Xiang, Yang Article
Role of Grain Boundaries under Long-Time Radiation
Physical Review Letters, v. 120, (22), May 2018, article number 222501
Zhu, Yichao; Guo, Xu; Luo, Jing; Xiang, Yang; Chapman, Stephen Jonathan Article
Self-healing of low angle grain boundaries by vacancy diffusion and dislocation climb
Scripta Materialia, v. 155, October 2018, p. 155-159
Gu, Yejun; Xiang, Yang; Srolovitz, David J.; El-awady, Jaafar A. Article
Stability of dislocation networks of low angle grain boundaries using a continuum energy formulation
Discrete and Continuous Dynamical Systems Series B, v. 23, (8), October 2018, p. 2989-3021
Xiang, Yang; Yan, Xiaodong Article

2017 6

A Three-Scale Homogenisation Approach to the Prediction of Long-Time Absorption of Radiation Induced Interstitials by Nanovoids at Interfaces
Journal of the Mechanics and Physics of Solids, v. 105, August 2017, p. 1-20
Zhu, Yichao; Wang, Jian; Xiang, Yang; Guo, Xu Article
An Efficient High Order Method for Dislocation Climb in Two Dimensions
Multiscale Modeling and Simulation, v. 15, (1), 2017, p. 235-253
Jiang, Shidong; Rachh, Manas; Xiang, Yang Article
Dislocation Climb Models from Atomistic Scheme to Dislocation Dynamics
Journal of the Mechanics and Physics of Solids, v. 99, February 2017, p. 242-258
Niu, Xiaohua; Luo, Tao; Lu, Jianfeng; Xiang, Yang Article
Energy of Low Angle Grain Boundaries Based on Continuum Dislocation Structure
Acta Materialia, v. 126, March 2017, p. 11-24
Zhang, Luchan; Gu, Yejun; Xiang, Yang Article
Equation of Motion for a Grain Boundary
Physical Review Letters, v. 119, (24), 12 December 2017, article number 246101
Zhang, Luchan; Han, Jian; Xiang, Yang; Srolovitz, David J Article
Point Defect Sink Efficiency of Low-angle Tilt Grain Boundaries
Journal of the Mechanics and Physics of Solids, v. 101, April 2017, p. 166-179
Gu, Yejun; Han, Jian; Dai, Shuyang; Zhu, Yichao; Xiang, Yang; Srolovitz, David J. Article

2016 7

Continuum Dynamics of the Formation, Migration and Dissociation of Self-Locked Dislocation Structures on Parallel Slip Planes
Journal of the Mechanics and Physics of Solids, v. 96, November 2016, p. 369-387
Zhu, Yichao; Niu, Xiaohua; Xiang, Yang Article
Energy Scaling and Asymptotic Properties of Step Bunching in Epitaxial Growth with Elasticity Effects
Multiscale Modeling and Simulation, v. 14, (2), May 2016, p. 737-771
Luo, Tao; Xiang, Yang; Yip, Nung Kwan Article
Homogenization of a Row of Dislocation Dipoles from Discrete Dislocation Dynamics
SIAM Journal on Applied Mathematics, v. 76, (2), April 2016, p. 750-775
Chapman, Stephen Jonathan; Xiang, Yang; Zhu, Yichao Article
Relaxation of Low-Angle Grain Boundary Structure by Climb of the Constituent Dislocations
Scripta Materialia, v. 114, March 2016, p. 35-40
Gu, Yejun; Xiang, Yang; Srolovitz, David J. Article
Structure and Energetics of Interlayer Dislocations in Bilayer Graphene
Physical Review B, v. 93, (8), February 2016, article number 085410
Dai, Shuyang; Xiang, Yang; Srolovitz, David J. Article
The Role of Dislocation Pile-Up in Flow Stress Determination and Strain Hardening
Scripta Materialia, v. 116, April 2016, p. 53-56
Zhu, Yichao; Xiang, Yang; Schulz, Katrin V. Article
Twisted Bilayer Graphene: Moire with a Twist
Nano Letters, v. 16, (9), September 2016, p. 5923-5927
Dai, Shuyang; Xiang, Yang; Srolovitz, David J. Article

2015 3

A Continuum Model for Dislocation Dynamics in Three Dimensions Using the Dislocation Density Potential Functions and its Application to Micro-Pillars
Journal of the Mechanics and Physics of Solids, v. 84, November 2015, p. 230-253
Zhu, Yichao; Xiang, Yang Article
A Numerical Scheme for Generalized Peierls-Nabarro Model of Dislocations Based on the Fast Multipole Method and Iterative Grid Redistribution
Communications in Computational Physics, v. 18, (5), November 2015, p. 1282-1312
Zhu, Aiyu; Jin, Congming; Zhao, Degang; Xiang, Yang; Huang, Jingfeng Article
Three-dimensional formulation of dislocation climb
Journal of the Mechanics and Physics of Solids, v. 83, October 2015, p. 319-337
Gu, Yejun; Xiang, Yang; Quek, Siu Sin; Srolovitz, David J. Article

2014 3

A Continuum Model for Dislocation Dynamics Incorporating Frank-Read Sources and Hall-Petch Relation in Two Dimensions
International Journal of Plasticity, v. 60, September 2014, p. 19-39
Zhu, Yichao; Wang, Hanquan; Zhu, Xiaohong; Xiang, Yang Article
Atomistic, Generalized Peierls-Nabarro and Analytical Models for (1 1 1) Twist Boundaries in Al, Cu and Ni for All Twist Angles
Acta Materialia, v. 69, May 2014, p. 162-174
Dai, Shuyang; Xiang, Yang; Srolovitz, David J. Article
Continuum Framework for Dislocation Structure, Energy and Dynamics of Dislocation Arrays and Low Angle Grain Boundaries
Journal of the Mechanics and Physics of Solids, v. 69, (1), September 2014, p. 175-194
Zhu, Xiaohong; Xiang, Yang Article

2013 3

An Adaptive Level Set Method Based on Two-Level Uniform Meshes and its Application to Dislocation Dynamics
International Journal for Numerical Methods in Engineering, v. 94, (6), May 2013, p. 573-597
Wang, Hanquan; Xiang, Yang Article
Numerical Simulation of Dynamics of Dislocation Arrays and Long-Range Stress Fields of Nonplanar Dislocation Arrays
International Journal of Plasticity, v. 43, April 2013, p. 85-100
Zhu, Xiaohong; Dai, Shuyang; Xiang, Yang Article
Structure and Energy of (111) Low-Angle Twist Boundaries in Al, Cu and Ni
Acta Materialia, v. 61, (4), February 2013, p. 1327-1337
Dai, Shuyang; Xiang, Yang; Srolovitz, David J. Article

2012 4

A Continuum Model for the Dynamics of Dislocation Arrays
Communications in Mathematical Sciences, v. 10, (4), 2012, p. 1081-1103
Zhu, Xiaohong; Xiang, Yang Article
Asymptotic behaviors of the stress fields in the vicinity of dislocations and dislocation segments
Philosophical Magazine, v. 92, (18), June 2012, p. 2351-2374
Zhao, Degang; Wang, Hanquan; Xiang, Yang Article
Fast Multipole Accelerated Boundary Integral Equation Method for Evaluating the Stress Field Associated with Dislocations in a Finite Medium
Communications in Computational Physics, v. 12, (1), July 2012, p. 226-246
Zhao, Degang; Huang, Jingfang; Xiang, Yang Article
Dislocation Dynamics in 2 + epsilon Dimensions: Slip Planes, Thin Films, and Grain Boundaries
Multiscale Modeling and Analysis for Materials Simulation / Edited by Weizhu Bao, Qiang Du. Singapore; Hackensack, NJ : World Scientific, 2012, p. 1-94, Series: LECTURE NOTES SERIES Institute for Mathematical Sciences, National University of Singapore, v. 22
Xiang, Yang; Quek, Siu-Sin; Zhang, Yong-Wei; Lim, Adele; Srolovitz, David J. Book chapter

2011 4

A Continuum Model for Core Relaxation of Incoherent Twin Boundaries Based on the Peierls-Nabarro Framework
Scripta Materialia, v. 64, (5), March 2011, p. 438-441
Dai, Shuyang; Xiang, Yang; Zhang, Tongyi Article
Dislocation Cross-Slip Mechanisms in Aluminum
Philosophical Magazine, v. 91, (32), November 2011, p. 4109-4125
Jin, Congming; Xiang, Yang; Lu, Gang Article
Loss of Interface Coherency Around a Misfitting Spherical Inclusion
Acta Materialia, v. 59, (14), August 2011, p. 5398-5410
Quek, Siu Sin; Xiang, Yang; Srolovitz, David J. Article
Stabilizing Force on Perturbed Grain Boundaries Using a Dislocation Model
Scripta Materialia, v. 64, (1), January 2011, p. 5-8
Zhu, Xiaohong; Xiang, Yang Article

2010 4

A New Version Fast Multipole Method for Evaluating the Stress Field of Dislocation Ensembles
Modelling and Simulation in Materials Science and Engineering, v. 18, (4), June 2010, article number 045006
Zhao, Degang; Huang, Jingfang; Xiang, Yang Article
Computing Transition Rates of Thermally Activated Events in Dislocation Dynamics
Scripta Materialia, v. 62, (4), February 2010, p. 206-209
Jin, Congming; Ren, Weiqing; Xiang, Yang Article
Continuum Model for Dislocation Dynamics in a Slip Plane
Philosophical Magazine, v. 90, (33), November 2010, p. 4409-4428
Zhu, Xiaohong; Xiang, Yang Article
Dislocation Cross-Slip in Heteroepitaxial Multilayer Films
Acta Materialia, v. 58, (1), January 2010, p. 226-234
Quek, Siu Sin; Zhang, Yongwei; Xiang, Yang; Srolovitz, David J. Article

2009 3

A generalized Peierls–Nabarro model for kinked dislocations
Philosophical Magazine, v. 89, (27), September 2009, p. 2333-2354
Wei, He; Xiang, Yang Article
Continuum approximation of the Peach–Koehler force on dislocations in a slip plane
Journal of the Mechanics and Physics of Solids, v. 57, (4), April 2009, p. 728-743
Xiang, Yang Article
Continuum Model for the Long-Range Elastic Interaction on Stepped Epitaxial Surfaces in 2+1 Dimensions
Physical Review B: Condensed Matter and Materials Physics, v. 79, (12), March 2009, article number 125413
Zhu, Xiaohong; Xu, Haoyun; Xiang, Yang Article

2008 3

A Generalized Peierls-Nabarro Model for Curved Dislocations and Core Structures of Dislocation Loops in Al and Cu
Acta Materialia, v. 56, (7), April 2008, p. 1447-1460
Xiang, Yang; Wei, He; Ming, Pingbing; E, Weinan Article
A Generalized Peierls-Nabarro Model for Curved Dislocations Using Discrete Fourier Transform
Communications in Computational Physics, v. 4, (2), August 2008, p. 275-293
Wei, He; Xiang, Yang; Ming, Pingbing Article
Derivation of a Continuum Model for the Long-Range Elastic Interaction on Stepped Epitaxial Surfaces in 2+1 Dimensions
SIAM Journal on Applied Mathematics, v. 69, (5), 2009, p. 1393-1414
Xu, Haoyun; Xiang, Yang Article

2007 1

Dislocation Junctions as Barriers to Threading Dislocation Migration
Applied Physics Letters, v. 90, (1), January 2007, article number 011905
Quek, Siu Sin; Wu, Zhaoxuan; Zhang, Yong-Wei; Xiang, Yang; Srolovitz, David J. Article

2006 5

An active contour model for image segmentation based on elastic interaction
Journal of Computational Physics, v. 219, (1), November 2006, p. 455-476
Xiang, Yang; Chung, Albert Chi Shing; Ye, Jian Article
An Integral Equation Method for Epitaxial Step-Flow Growth Simulations
Journal of Computational Physics, v. 216, (2), August 2006, p. 724-743
Huang, Jingfang; Lai, Ming-chih; Xiang, Yang Article
Dislocation Climb Effects on Particle Bypass Mechanisms
Philosophical Magazine, v. 86, (25-26), September 2006, p. 3937-3957
Xiang, Yang; Srolovitz, D.J. Article
Level set simulation of dislocation dynamics in thin films
Acta Materialia, v. 54, (9), May 2006, p. 2371-2381
Quek, Siu Sin; Xiang, Yang; Zhang, Yongwei; Srolovitz, David J.; Lu, Chun Article
Modeling Dislocations at Different Scales
Communications in Computational Physics, v. 1, (3), June 2006, p. 383-424
Xiang, Yang Article

2005 3

Level Set Dislocation Dynamics Method
Handbook of Materials Modeling: Methods / Editors, Sidney Yip. Dordrecht : Springer, 2005, p. 2307-2323
Xiang, Yang; Srolovitz, David J. Book chapter
A New Active Contour Method Based on Elastic Interaction
Proceedings: 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 2005 / Edited by Cordelia Schmid, Stefano Soatto, and Carlo Tomasi. Piscataway, NJ : IEEE, 2005, p. 452-457
Xiang, Yang; Chung, Albert Chi Shing; Ye, Jian Conference paper
Elastic Interaction Models for Active Contours and Surfaces
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 3765 LNCS, 2005, p. 314-323
Chung, Albert Chi Shing; Xiang, Yang; Ye, Jian; Law, Max Wai Kong Conference paper

2004 2

Level Set Simulations of Dislocation-particle Bypass Mechanisms
Acta Materialia, v. 52, (7), April 2004, p. 1745-1760
Xiang, Yang; Srolovitz, D.J.; Cheng, L.-T.; E, Weinan Article
Misfit Elastic Energy and a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces
Physical Review B - Condensed Matter and Materials Physics, v. 69, (3), January 2004, article number 035409
Xiang, Yang; E, Weinan Article

2003 1

A Level Set Method for Dislocation Dynamics
Acta Materialia, v. 51, (18), October 2003, p. 5499-5518
Xiang, Yang; Cheng, Li-Tien; Srolovitz, David J.; E, Weinan Article

2002 2

Derivation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surface
SIAM Journal on Applied Mathematics, v. 63, (1), July 2002, p. 241-258
Xiang, Yang Article
Nonlinear evolution equation for the stress-driven morphological instability
Journal of Applied Physics, v. 91, (11), June 2002, p. 9414-9422
Xiang, Yang; E, Weinan Article

2001 1

An efficient step flow simulation scheme using potential theory
First M.I.T. Conference on Computational Fluid and Solid Mechanics, Massachusetts Institute of Technology Cambridge, USA, 12-15 June 2001
Huang, Jingfang; Xiang, Yang Conference paper

1997 2

Comparison principle for viscosity solutions with high growth at infinity
Journal of Partial Differential Equations, v. 10, (2), 1997, p. 107-122
Xiang, Yang Article
Existence for Viscosity Solutions of Nonlinear Degenerate Elliptic Equations in RN
Acta Mathematicae Applicatae Sinica, v. 20, 1997, p. 209-220
Xiang, Yang Article


Expand All Collapse All


Article 1

A Three-Dimensional Continuum Simulation Method for Grain Boundary Motion Incorporating Dislocation Structure
Journal Of Scientific Computing, v. 90, (1), January 2022, article number 3
Qin, Xiaoxue; Zhang, Luchan; Xiang, Yang


Expand All Collapse All


Article 6

Boundary condition for dislocation dynamic simulation in BCC crystal
CSIAM Transactions on Applied Mathematics, v. 2, (1), March 2021, p. 175-194
Dai, Shuyang; Wang, Fengru; Xiang, Yang; Yang, Jerry Zhijian; Yuan, Cheng
Cauchy–Born rule and stability of crystalline solids at finite temperature
Communications in Mathematical Sciences, v. 19, (6), August 2021, p. 1461-1490
Luo, Tao; Xiang, Yang; Yang, Jerry Zhijian; Yuan, Cheng
Continuum model for dislocation structures of semicoherent interfaces
Computational Materials Science, v. 190, April 2021, article number 110277
Zhang, Luchan; Qin, Xiaoxue; Xiang, Yang
Energy Scaling and Asymptotic Properties of One-Dimensional Discrete System with Generalized Lennard-Jones (m, n) Interaction
Journal of Nonlinear Science, v. 31, (2), April 2021, article number 43
Luo, Tao; Xiang, Yang; Yip, Nung Kwan
Equation of motion for grain boundaries in polycrystals
npj Computational Materials, v. 7, (1), May 2021, article number 64
Zhang, Luchan; Han, Jian; Srolovitz, David J.; Xiang, Yang
Phase field model for self-climb of prismatic dislocation loops by vacancy pipe diffusion
International Journal of Plasticity, v. 141, June 2021, article number 102977
Niu, Xiaohua; Xiang, Yang; Yan, Xiaodong


Expand All Collapse All


Article 6

A new formulation of coupling and sliding motions of grain boundaries based on dislocation structure
SIAM Journal on Applied Mathematics, v. 80, (6), November 2020, p. 2365-2387
Zhang, Luchan; Xiang, Yang
Characterisation of dislocation patterning behaviour with a continuum dislocation dynamics model on two parallel slip planes equipped with a deep neural network resolving local microstructures
International Journal of Solids and Structures, v. 198, August 2020, p. 57-71
Zhou, Zhengcheng; Zhu, Yichao; Luo, Jing; Xiang, Yang; Guo, Xu
Grain Boundary Triple Junction Dynamics: A Continuum Disconnection Model
SIAM Journal on Applied Mathematics, v. 80, (3), 2020, p. 1101-1122
Wei, Chaozhen; Zhang, Luchan; Han, Jian; Srolovitz, David J.; Xiang, Yang
Perfectly matched layer method for optical modes in dielectric cavities
Physical Review A, v. 102, (5), 5 November 2020, article number 053704
Jiang, Tianpeng; Xiang, Yang
Revisit of the peierls-nabarro model for edge dislocations in Hilbert space
Discrete and Continuous Dynamical Systems - Series B, v. 26, (6), June 2021, p. 3177-3207
Gao, Yuan; Liu, Jian Guo; Luo, Tao; Xiang, Yang
Stochastic Peierls-Nabarro model for dislocations in high entropy alloys
SIAM Journal on Applied Mathematics, v. 80, (6), December 2020, p. 2496-2517
Jiang, Tianpeng; Xiang, Yang; Zhang, Luchan

Conference paper 1

An elastic interaction based loss function for medical image segmentation
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 12265 LNCS, 2020, p. 755-764
Lan, Yuan; Xiang, Yang; Zhang, Luchan


Expand All Collapse All


Article 5

A Continuum Multi-Disconnection-Mode model for grain boundary migration
Journal of the Mechanics and Physics of Solids, v.133, December 2019, article number 103731
Wei, Chaozhen; Thomas, Spencer L.; Han, Jian; Srolovitz, David J.; Xiang, Yang
Disconnection Description of Triple-junction Motion
Proceedings of the National Academy of Sciences of the United States of America, v. 116, (18), April 2019, p. 8756-8765
Thomas, Spencer L.; Wei, Chaozhen; Han, Jian; Xiang, Yang; Srolovitz, David J.
Dislocation dynamics formulation for self-climb of dislocation loops by vacancy pipe diffusion
International Journal of Plasticity, v. 120, September 2019, p. 262-277
Niu, Xiaohua; Gu, Yejun; Xiang, Yang
Perturbation model for optical modes in deformed disks
Physical Review A, v. 99, (2), February 2019, article number 023847
Jiang, Tianpeng; Xiang, Yang
The Effect of Randomness on the Strength of High-entropy Alloys
Acta Materialia, v. 166, March 2019, p. 424-434
Zhang, Luchan; Xiang, Yang; Han, Jian; Srolovitz, David J.


Expand All Collapse All


Article 6

A Continuum Model for Distributions of Dislocations Incorporating Short-range Interactions
Communications in Mathematical Sciences, v. 16, (2), 2018, p. 491-522
Niu, Xiaohua; Zhu, Yichao; Dai, Shuyang; Xiang, Yang
From Atomistic Model to the Peierls-Nabarro Model with Gamma-surface for Dislocations
Archive for Rational Mechanics and Analysis, v. 230, (2), November 2018, p. 735-781
Luo, Tao; Ming, Pingbing; Xiang, Yang
Motion of grain boundaries incorporating dislocation structure
Journal of the Mechanics and Physics of Solids, v. 117, August 2018, p. 157-178
Zhang, Luchan; Xiang, Yang
Role of Grain Boundaries under Long-Time Radiation
Physical Review Letters, v. 120, (22), May 2018, article number 222501
Zhu, Yichao; Guo, Xu; Luo, Jing; Xiang, Yang; Chapman, Stephen Jonathan
Self-healing of low angle grain boundaries by vacancy diffusion and dislocation climb
Scripta Materialia, v. 155, October 2018, p. 155-159
Gu, Yejun; Xiang, Yang; Srolovitz, David J.; El-awady, Jaafar A.
Stability of dislocation networks of low angle grain boundaries using a continuum energy formulation
Discrete and Continuous Dynamical Systems Series B, v. 23, (8), October 2018, p. 2989-3021
Xiang, Yang; Yan, Xiaodong


Expand All Collapse All


Article 6

A Three-Scale Homogenisation Approach to the Prediction of Long-Time Absorption of Radiation Induced Interstitials by Nanovoids at Interfaces
Journal of the Mechanics and Physics of Solids, v. 105, August 2017, p. 1-20
Zhu, Yichao; Wang, Jian; Xiang, Yang; Guo, Xu
An Efficient High Order Method for Dislocation Climb in Two Dimensions
Multiscale Modeling and Simulation, v. 15, (1), 2017, p. 235-253
Jiang, Shidong; Rachh, Manas; Xiang, Yang
Dislocation Climb Models from Atomistic Scheme to Dislocation Dynamics
Journal of the Mechanics and Physics of Solids, v. 99, February 2017, p. 242-258
Niu, Xiaohua; Luo, Tao; Lu, Jianfeng; Xiang, Yang
Energy of Low Angle Grain Boundaries Based on Continuum Dislocation Structure
Acta Materialia, v. 126, March 2017, p. 11-24
Zhang, Luchan; Gu, Yejun; Xiang, Yang
Equation of Motion for a Grain Boundary
Physical Review Letters, v. 119, (24), 12 December 2017, article number 246101
Zhang, Luchan; Han, Jian; Xiang, Yang; Srolovitz, David J
Point Defect Sink Efficiency of Low-angle Tilt Grain Boundaries
Journal of the Mechanics and Physics of Solids, v. 101, April 2017, p. 166-179
Gu, Yejun; Han, Jian; Dai, Shuyang; Zhu, Yichao; Xiang, Yang; Srolovitz, David J.


Expand All Collapse All


Article 7

Continuum Dynamics of the Formation, Migration and Dissociation of Self-Locked Dislocation Structures on Parallel Slip Planes
Journal of the Mechanics and Physics of Solids, v. 96, November 2016, p. 369-387
Zhu, Yichao; Niu, Xiaohua; Xiang, Yang
Energy Scaling and Asymptotic Properties of Step Bunching in Epitaxial Growth with Elasticity Effects
Multiscale Modeling and Simulation, v. 14, (2), May 2016, p. 737-771
Luo, Tao; Xiang, Yang; Yip, Nung Kwan
Homogenization of a Row of Dislocation Dipoles from Discrete Dislocation Dynamics
SIAM Journal on Applied Mathematics, v. 76, (2), April 2016, p. 750-775
Chapman, Stephen Jonathan; Xiang, Yang; Zhu, Yichao
Relaxation of Low-Angle Grain Boundary Structure by Climb of the Constituent Dislocations
Scripta Materialia, v. 114, March 2016, p. 35-40
Gu, Yejun; Xiang, Yang; Srolovitz, David J.
Structure and Energetics of Interlayer Dislocations in Bilayer Graphene
Physical Review B, v. 93, (8), February 2016, article number 085410
Dai, Shuyang; Xiang, Yang; Srolovitz, David J.
The Role of Dislocation Pile-Up in Flow Stress Determination and Strain Hardening
Scripta Materialia, v. 116, April 2016, p. 53-56
Zhu, Yichao; Xiang, Yang; Schulz, Katrin V.
Twisted Bilayer Graphene: Moire with a Twist
Nano Letters, v. 16, (9), September 2016, p. 5923-5927
Dai, Shuyang; Xiang, Yang; Srolovitz, David J.


Expand All Collapse All


Article 3

A Continuum Model for Dislocation Dynamics in Three Dimensions Using the Dislocation Density Potential Functions and its Application to Micro-Pillars
Journal of the Mechanics and Physics of Solids, v. 84, November 2015, p. 230-253
Zhu, Yichao; Xiang, Yang
A Numerical Scheme for Generalized Peierls-Nabarro Model of Dislocations Based on the Fast Multipole Method and Iterative Grid Redistribution
Communications in Computational Physics, v. 18, (5), November 2015, p. 1282-1312
Zhu, Aiyu; Jin, Congming; Zhao, Degang; Xiang, Yang; Huang, Jingfeng
Three-dimensional formulation of dislocation climb
Journal of the Mechanics and Physics of Solids, v. 83, October 2015, p. 319-337
Gu, Yejun; Xiang, Yang; Quek, Siu Sin; Srolovitz, David J.


Expand All Collapse All


Article 3

A Continuum Model for Dislocation Dynamics Incorporating Frank-Read Sources and Hall-Petch Relation in Two Dimensions
International Journal of Plasticity, v. 60, September 2014, p. 19-39
Zhu, Yichao; Wang, Hanquan; Zhu, Xiaohong; Xiang, Yang
Atomistic, Generalized Peierls-Nabarro and Analytical Models for (1 1 1) Twist Boundaries in Al, Cu and Ni for All Twist Angles
Acta Materialia, v. 69, May 2014, p. 162-174
Dai, Shuyang; Xiang, Yang; Srolovitz, David J.
Continuum Framework for Dislocation Structure, Energy and Dynamics of Dislocation Arrays and Low Angle Grain Boundaries
Journal of the Mechanics and Physics of Solids, v. 69, (1), September 2014, p. 175-194
Zhu, Xiaohong; Xiang, Yang


Expand All Collapse All


Article 3

An Adaptive Level Set Method Based on Two-Level Uniform Meshes and its Application to Dislocation Dynamics
International Journal for Numerical Methods in Engineering, v. 94, (6), May 2013, p. 573-597
Wang, Hanquan; Xiang, Yang
Numerical Simulation of Dynamics of Dislocation Arrays and Long-Range Stress Fields of Nonplanar Dislocation Arrays
International Journal of Plasticity, v. 43, April 2013, p. 85-100
Zhu, Xiaohong; Dai, Shuyang; Xiang, Yang
Structure and Energy of (111) Low-Angle Twist Boundaries in Al, Cu and Ni
Acta Materialia, v. 61, (4), February 2013, p. 1327-1337
Dai, Shuyang; Xiang, Yang; Srolovitz, David J.


Expand All Collapse All


Article 3

A Continuum Model for the Dynamics of Dislocation Arrays
Communications in Mathematical Sciences, v. 10, (4), 2012, p. 1081-1103
Zhu, Xiaohong; Xiang, Yang
Asymptotic behaviors of the stress fields in the vicinity of dislocations and dislocation segments
Philosophical Magazine, v. 92, (18), June 2012, p. 2351-2374
Zhao, Degang; Wang, Hanquan; Xiang, Yang
Fast Multipole Accelerated Boundary Integral Equation Method for Evaluating the Stress Field Associated with Dislocations in a Finite Medium
Communications in Computational Physics, v. 12, (1), July 2012, p. 226-246
Zhao, Degang; Huang, Jingfang; Xiang, Yang

Book chapter 1

Dislocation Dynamics in 2 + epsilon Dimensions: Slip Planes, Thin Films, and Grain Boundaries
Multiscale Modeling and Analysis for Materials Simulation / Edited by Weizhu Bao, Qiang Du. Singapore; Hackensack, NJ : World Scientific, 2012, p. 1-94, Series: LECTURE NOTES SERIES Institute for Mathematical Sciences, National University of Singapore, v. 22
Xiang, Yang; Quek, Siu-Sin; Zhang, Yong-Wei; Lim, Adele; Srolovitz, David J.


Expand All Collapse All


Article 4

A Continuum Model for Core Relaxation of Incoherent Twin Boundaries Based on the Peierls-Nabarro Framework
Scripta Materialia, v. 64, (5), March 2011, p. 438-441
Dai, Shuyang; Xiang, Yang; Zhang, Tongyi
Dislocation Cross-Slip Mechanisms in Aluminum
Philosophical Magazine, v. 91, (32), November 2011, p. 4109-4125
Jin, Congming; Xiang, Yang; Lu, Gang
Loss of Interface Coherency Around a Misfitting Spherical Inclusion
Acta Materialia, v. 59, (14), August 2011, p. 5398-5410
Quek, Siu Sin; Xiang, Yang; Srolovitz, David J.
Stabilizing Force on Perturbed Grain Boundaries Using a Dislocation Model
Scripta Materialia, v. 64, (1), January 2011, p. 5-8
Zhu, Xiaohong; Xiang, Yang


Expand All Collapse All


Article 4

A New Version Fast Multipole Method for Evaluating the Stress Field of Dislocation Ensembles
Modelling and Simulation in Materials Science and Engineering, v. 18, (4), June 2010, article number 045006
Zhao, Degang; Huang, Jingfang; Xiang, Yang
Computing Transition Rates of Thermally Activated Events in Dislocation Dynamics
Scripta Materialia, v. 62, (4), February 2010, p. 206-209
Jin, Congming; Ren, Weiqing; Xiang, Yang
Continuum Model for Dislocation Dynamics in a Slip Plane
Philosophical Magazine, v. 90, (33), November 2010, p. 4409-4428
Zhu, Xiaohong; Xiang, Yang
Dislocation Cross-Slip in Heteroepitaxial Multilayer Films
Acta Materialia, v. 58, (1), January 2010, p. 226-234
Quek, Siu Sin; Zhang, Yongwei; Xiang, Yang; Srolovitz, David J.


Expand All Collapse All


Article 3

A generalized Peierls–Nabarro model for kinked dislocations
Philosophical Magazine, v. 89, (27), September 2009, p. 2333-2354
Wei, He; Xiang, Yang
Continuum approximation of the Peach–Koehler force on dislocations in a slip plane
Journal of the Mechanics and Physics of Solids, v. 57, (4), April 2009, p. 728-743
Xiang, Yang
Continuum Model for the Long-Range Elastic Interaction on Stepped Epitaxial Surfaces in 2+1 Dimensions
Physical Review B: Condensed Matter and Materials Physics, v. 79, (12), March 2009, article number 125413
Zhu, Xiaohong; Xu, Haoyun; Xiang, Yang


Expand All Collapse All


Article 3

A Generalized Peierls-Nabarro Model for Curved Dislocations and Core Structures of Dislocation Loops in Al and Cu
Acta Materialia, v. 56, (7), April 2008, p. 1447-1460
Xiang, Yang; Wei, He; Ming, Pingbing; E, Weinan
A Generalized Peierls-Nabarro Model for Curved Dislocations Using Discrete Fourier Transform
Communications in Computational Physics, v. 4, (2), August 2008, p. 275-293
Wei, He; Xiang, Yang; Ming, Pingbing
Derivation of a Continuum Model for the Long-Range Elastic Interaction on Stepped Epitaxial Surfaces in 2+1 Dimensions
SIAM Journal on Applied Mathematics, v. 69, (5), 2009, p. 1393-1414
Xu, Haoyun; Xiang, Yang


Expand All Collapse All


Article 1

Dislocation Junctions as Barriers to Threading Dislocation Migration
Applied Physics Letters, v. 90, (1), January 2007, article number 011905
Quek, Siu Sin; Wu, Zhaoxuan; Zhang, Yong-Wei; Xiang, Yang; Srolovitz, David J.


Expand All Collapse All


Article 5

An active contour model for image segmentation based on elastic interaction
Journal of Computational Physics, v. 219, (1), November 2006, p. 455-476
Xiang, Yang; Chung, Albert Chi Shing; Ye, Jian
An Integral Equation Method for Epitaxial Step-Flow Growth Simulations
Journal of Computational Physics, v. 216, (2), August 2006, p. 724-743
Huang, Jingfang; Lai, Ming-chih; Xiang, Yang
Dislocation Climb Effects on Particle Bypass Mechanisms
Philosophical Magazine, v. 86, (25-26), September 2006, p. 3937-3957
Xiang, Yang; Srolovitz, D.J.
Level set simulation of dislocation dynamics in thin films
Acta Materialia, v. 54, (9), May 2006, p. 2371-2381
Quek, Siu Sin; Xiang, Yang; Zhang, Yongwei; Srolovitz, David J.; Lu, Chun
Modeling Dislocations at Different Scales
Communications in Computational Physics, v. 1, (3), June 2006, p. 383-424
Xiang, Yang


Expand All Collapse All


Book chapter 1

Level Set Dislocation Dynamics Method
Handbook of Materials Modeling: Methods / Editors, Sidney Yip. Dordrecht : Springer, 2005, p. 2307-2323
Xiang, Yang; Srolovitz, David J.

Conference paper 2

A New Active Contour Method Based on Elastic Interaction
Proceedings: 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 2005 / Edited by Cordelia Schmid, Stefano Soatto, and Carlo Tomasi. Piscataway, NJ : IEEE, 2005, p. 452-457
Xiang, Yang; Chung, Albert Chi Shing; Ye, Jian
Elastic Interaction Models for Active Contours and Surfaces
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 3765 LNCS, 2005, p. 314-323
Chung, Albert Chi Shing; Xiang, Yang; Ye, Jian; Law, Max Wai Kong


Expand All Collapse All


Article 2

Level Set Simulations of Dislocation-particle Bypass Mechanisms
Acta Materialia, v. 52, (7), April 2004, p. 1745-1760
Xiang, Yang; Srolovitz, D.J.; Cheng, L.-T.; E, Weinan
Misfit Elastic Energy and a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces
Physical Review B - Condensed Matter and Materials Physics, v. 69, (3), January 2004, article number 035409
Xiang, Yang; E, Weinan


Expand All Collapse All


Article 1

A Level Set Method for Dislocation Dynamics
Acta Materialia, v. 51, (18), October 2003, p. 5499-5518
Xiang, Yang; Cheng, Li-Tien; Srolovitz, David J.; E, Weinan


Expand All Collapse All


Article 2

Derivation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surface
SIAM Journal on Applied Mathematics, v. 63, (1), July 2002, p. 241-258
Xiang, Yang
Nonlinear evolution equation for the stress-driven morphological instability
Journal of Applied Physics, v. 91, (11), June 2002, p. 9414-9422
Xiang, Yang; E, Weinan


Expand All Collapse All


Conference paper 1

An efficient step flow simulation scheme using potential theory
First M.I.T. Conference on Computational Fluid and Solid Mechanics, Massachusetts Institute of Technology Cambridge, USA, 12-15 June 2001
Huang, Jingfang; Xiang, Yang


Expand All Collapse All


Article 2

Comparison principle for viscosity solutions with high growth at infinity
Journal of Partial Differential Equations, v. 10, (2), 1997, p. 107-122
Xiang, Yang
Existence for Viscosity Solutions of Nonlinear Degenerate Elliptic Equations in RN
Acta Mathematicae Applicatae Sinica, v. 20, 1997, p. 209-220
Xiang, Yang


Expand All Collapse All


2016 7

Continuum Dynamics of the Formation, Migration and Dissociation of Self-Locked Dislocation Structures on Parallel Slip Planes
Journal of the Mechanics and Physics of Solids, v. 96, November 2016, p. 369-387
Zhu, Yichao; Niu, Xiaohua; Xiang, Yang Article
Energy Scaling and Asymptotic Properties of Step Bunching in Epitaxial Growth with Elasticity Effects
Multiscale Modeling and Simulation, v. 14, (2), May 2016, p. 737-771
Luo, Tao; Xiang, Yang; Yip, Nung Kwan Article
Homogenization of a Row of Dislocation Dipoles from Discrete Dislocation Dynamics
SIAM Journal on Applied Mathematics, v. 76, (2), April 2016, p. 750-775
Chapman, Stephen Jonathan; Xiang, Yang; Zhu, Yichao Article
Relaxation of Low-Angle Grain Boundary Structure by Climb of the Constituent Dislocations
Scripta Materialia, v. 114, March 2016, p. 35-40
Gu, Yejun; Xiang, Yang; Srolovitz, David J. Article
Structure and Energetics of Interlayer Dislocations in Bilayer Graphene
Physical Review B, v. 93, (8), February 2016, article number 085410
Dai, Shuyang; Xiang, Yang; Srolovitz, David J. Article
The Role of Dislocation Pile-Up in Flow Stress Determination and Strain Hardening
Scripta Materialia, v. 116, April 2016, p. 53-56
Zhu, Yichao; Xiang, Yang; Schulz, Katrin V. Article
Twisted Bilayer Graphene: Moire with a Twist
Nano Letters, v. 16, (9), September 2016, p. 5923-5927
Dai, Shuyang; Xiang, Yang; Srolovitz, David J. Article

2015 3

A Continuum Model for Dislocation Dynamics in Three Dimensions Using the Dislocation Density Potential Functions and its Application to Micro-Pillars
Journal of the Mechanics and Physics of Solids, v. 84, November 2015, p. 230-253
Zhu, Yichao; Xiang, Yang Article
A Numerical Scheme for Generalized Peierls-Nabarro Model of Dislocations Based on the Fast Multipole Method and Iterative Grid Redistribution
Communications in Computational Physics, v. 18, (5), November 2015, p. 1282-1312
Zhu, Aiyu; Jin, Congming; Zhao, Degang; Xiang, Yang; Huang, Jingfeng Article
Three-dimensional formulation of dislocation climb
Journal of the Mechanics and Physics of Solids, v. 83, October 2015, p. 319-337
Gu, Yejun; Xiang, Yang; Quek, Siu Sin; Srolovitz, David J. Article

2014 3

A Continuum Model for Dislocation Dynamics Incorporating Frank-Read Sources and Hall-Petch Relation in Two Dimensions
International Journal of Plasticity, v. 60, September 2014, p. 19-39
Zhu, Yichao; Wang, Hanquan; Zhu, Xiaohong; Xiang, Yang Article
Atomistic, Generalized Peierls-Nabarro and Analytical Models for (1 1 1) Twist Boundaries in Al, Cu and Ni for All Twist Angles
Acta Materialia, v. 69, May 2014, p. 162-174
Dai, Shuyang; Xiang, Yang; Srolovitz, David J. Article
Continuum Framework for Dislocation Structure, Energy and Dynamics of Dislocation Arrays and Low Angle Grain Boundaries
Journal of the Mechanics and Physics of Solids, v. 69, (1), September 2014, p. 175-194
Zhu, Xiaohong; Xiang, Yang Article

2013 3

An Adaptive Level Set Method Based on Two-Level Uniform Meshes and its Application to Dislocation Dynamics
International Journal for Numerical Methods in Engineering, v. 94, (6), May 2013, p. 573-597
Wang, Hanquan; Xiang, Yang Article
Numerical Simulation of Dynamics of Dislocation Arrays and Long-Range Stress Fields of Nonplanar Dislocation Arrays
International Journal of Plasticity, v. 43, April 2013, p. 85-100
Zhu, Xiaohong; Dai, Shuyang; Xiang, Yang Article
Structure and Energy of (111) Low-Angle Twist Boundaries in Al, Cu and Ni
Acta Materialia, v. 61, (4), February 2013, p. 1327-1337
Dai, Shuyang; Xiang, Yang; Srolovitz, David J. Article

2012 4

A Continuum Model for the Dynamics of Dislocation Arrays
Communications in Mathematical Sciences, v. 10, (4), 2012, p. 1081-1103
Zhu, Xiaohong; Xiang, Yang Article
Asymptotic behaviors of the stress fields in the vicinity of dislocations and dislocation segments
Philosophical Magazine, v. 92, (18), June 2012, p. 2351-2374
Zhao, Degang; Wang, Hanquan; Xiang, Yang Article
Fast Multipole Accelerated Boundary Integral Equation Method for Evaluating the Stress Field Associated with Dislocations in a Finite Medium
Communications in Computational Physics, v. 12, (1), July 2012, p. 226-246
Zhao, Degang; Huang, Jingfang; Xiang, Yang Article
Dislocation Dynamics in 2 + epsilon Dimensions: Slip Planes, Thin Films, and Grain Boundaries
Multiscale Modeling and Analysis for Materials Simulation / Edited by Weizhu Bao, Qiang Du. Singapore; Hackensack, NJ : World Scientific, 2012, p. 1-94, Series: LECTURE NOTES SERIES Institute for Mathematical Sciences, National University of Singapore, v. 22
Xiang, Yang; Quek, Siu-Sin; Zhang, Yong-Wei; Lim, Adele; Srolovitz, David J. Book chapter

2011 4

A Continuum Model for Core Relaxation of Incoherent Twin Boundaries Based on the Peierls-Nabarro Framework
Scripta Materialia, v. 64, (5), March 2011, p. 438-441
Dai, Shuyang; Xiang, Yang; Zhang, Tongyi Article
Dislocation Cross-Slip Mechanisms in Aluminum
Philosophical Magazine, v. 91, (32), November 2011, p. 4109-4125
Jin, Congming; Xiang, Yang; Lu, Gang Article
Loss of Interface Coherency Around a Misfitting Spherical Inclusion
Acta Materialia, v. 59, (14), August 2011, p. 5398-5410
Quek, Siu Sin; Xiang, Yang; Srolovitz, David J. Article
Stabilizing Force on Perturbed Grain Boundaries Using a Dislocation Model
Scripta Materialia, v. 64, (1), January 2011, p. 5-8
Zhu, Xiaohong; Xiang, Yang Article

2010 4

A New Version Fast Multipole Method for Evaluating the Stress Field of Dislocation Ensembles
Modelling and Simulation in Materials Science and Engineering, v. 18, (4), June 2010, article number 045006
Zhao, Degang; Huang, Jingfang; Xiang, Yang Article
Computing Transition Rates of Thermally Activated Events in Dislocation Dynamics
Scripta Materialia, v. 62, (4), February 2010, p. 206-209
Jin, Congming; Ren, Weiqing; Xiang, Yang Article
Continuum Model for Dislocation Dynamics in a Slip Plane
Philosophical Magazine, v. 90, (33), November 2010, p. 4409-4428
Zhu, Xiaohong; Xiang, Yang Article
Dislocation Cross-Slip in Heteroepitaxial Multilayer Films
Acta Materialia, v. 58, (1), January 2010, p. 226-234
Quek, Siu Sin; Zhang, Yongwei; Xiang, Yang; Srolovitz, David J. Article

2009 3

A generalized Peierls–Nabarro model for kinked dislocations
Philosophical Magazine, v. 89, (27), September 2009, p. 2333-2354
Wei, He; Xiang, Yang Article
Continuum approximation of the Peach–Koehler force on dislocations in a slip plane
Journal of the Mechanics and Physics of Solids, v. 57, (4), April 2009, p. 728-743
Xiang, Yang Article
Continuum Model for the Long-Range Elastic Interaction on Stepped Epitaxial Surfaces in 2+1 Dimensions
Physical Review B: Condensed Matter and Materials Physics, v. 79, (12), March 2009, article number 125413
Zhu, Xiaohong; Xu, Haoyun; Xiang, Yang Article

2008 3

A Generalized Peierls-Nabarro Model for Curved Dislocations and Core Structures of Dislocation Loops in Al and Cu
Acta Materialia, v. 56, (7), April 2008, p. 1447-1460
Xiang, Yang; Wei, He; Ming, Pingbing; E, Weinan Article
A Generalized Peierls-Nabarro Model for Curved Dislocations Using Discrete Fourier Transform
Communications in Computational Physics, v. 4, (2), August 2008, p. 275-293
Wei, He; Xiang, Yang; Ming, Pingbing Article
Derivation of a Continuum Model for the Long-Range Elastic Interaction on Stepped Epitaxial Surfaces in 2+1 Dimensions
SIAM Journal on Applied Mathematics, v. 69, (5), 2009, p. 1393-1414
Xu, Haoyun; Xiang, Yang Article

2007 1

Dislocation Junctions as Barriers to Threading Dislocation Migration
Applied Physics Letters, v. 90, (1), January 2007, article number 011905
Quek, Siu Sin; Wu, Zhaoxuan; Zhang, Yong-Wei; Xiang, Yang; Srolovitz, David J. Article

2006 5

An active contour model for image segmentation based on elastic interaction
Journal of Computational Physics, v. 219, (1), November 2006, p. 455-476
Xiang, Yang; Chung, Albert Chi Shing; Ye, Jian Article
An Integral Equation Method for Epitaxial Step-Flow Growth Simulations
Journal of Computational Physics, v. 216, (2), August 2006, p. 724-743
Huang, Jingfang; Lai, Ming-chih; Xiang, Yang Article
Dislocation Climb Effects on Particle Bypass Mechanisms
Philosophical Magazine, v. 86, (25-26), September 2006, p. 3937-3957
Xiang, Yang; Srolovitz, D.J. Article
Level set simulation of dislocation dynamics in thin films
Acta Materialia, v. 54, (9), May 2006, p. 2371-2381
Quek, Siu Sin; Xiang, Yang; Zhang, Yongwei; Srolovitz, David J.; Lu, Chun Article
Modeling Dislocations at Different Scales
Communications in Computational Physics, v. 1, (3), June 2006, p. 383-424
Xiang, Yang Article

2005 3

Level Set Dislocation Dynamics Method
Handbook of Materials Modeling: Methods / Editors, Sidney Yip. Dordrecht : Springer, 2005, p. 2307-2323
Xiang, Yang; Srolovitz, David J. Book chapter
A New Active Contour Method Based on Elastic Interaction
Proceedings: 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 2005 / Edited by Cordelia Schmid, Stefano Soatto, and Carlo Tomasi. Piscataway, NJ : IEEE, 2005, p. 452-457
Xiang, Yang; Chung, Albert Chi Shing; Ye, Jian Conference paper
Elastic Interaction Models for Active Contours and Surfaces
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v. 3765 LNCS, 2005, p. 314-323
Chung, Albert Chi Shing; Xiang, Yang; Ye, Jian; Law, Max Wai Kong Conference paper

2004 2

Level Set Simulations of Dislocation-particle Bypass Mechanisms
Acta Materialia, v. 52, (7), April 2004, p. 1745-1760
Xiang, Yang; Srolovitz, D.J.; Cheng, L.-T.; E, Weinan Article
Misfit Elastic Energy and a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces
Physical Review B - Condensed Matter and Materials Physics, v. 69, (3), January 2004, article number 035409
Xiang, Yang; E, Weinan Article

2003 1

A Level Set Method for Dislocation Dynamics
Acta Materialia, v. 51, (18), October 2003, p. 5499-5518
Xiang, Yang; Cheng, Li-Tien; Srolovitz, David J.; E, Weinan Article

2002 2

Derivation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surface
SIAM Journal on Applied Mathematics, v. 63, (1), July 2002, p. 241-258
Xiang, Yang Article
Nonlinear evolution equation for the stress-driven morphological instability
Journal of Applied Physics, v. 91, (11), June 2002, p. 9414-9422
Xiang, Yang; E, Weinan Article

2001 1

An efficient step flow simulation scheme using potential theory
First M.I.T. Conference on Computational Fluid and Solid Mechanics, Massachusetts Institute of Technology Cambridge, USA, 12-15 June 2001
Huang, Jingfang; Xiang, Yang Conference paper

1997 2

Comparison principle for viscosity solutions with high growth at infinity
Journal of Partial Differential Equations, v. 10, (2), 1997, p. 107-122
Xiang, Yang Article
Existence for Viscosity Solutions of Nonlinear Degenerate Elliptic Equations in RN
Acta Mathematicae Applicatae Sinica, v. 20, 1997, p. 209-220
Xiang, Yang Article






Teaching Assignment

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2021-22 Winter 0 2021-22 Fall 1 2020-21 Summer 0 2020-21 Spring 3 2020-21 Winter 0 2020-21 Fall 4

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MATH5351 Mathematical Methods in Science and Engineering I


MATH5352 Mathematical Methods in Science and Engineering II
MSDM5004 Numerical Methods and Modeling in Science
MSDM6980 Computational Modeling and Simulation Project


MATH5351 Mathematical Methods in Science and Engineering I
MATH6770 Professional Development in Science (Mathematics)
MATH6771 Professional Development Training in Mathematics
MATH6913D Reading Course: Stochastic Partial Differential Equations


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments






Research Postgraduate (RPG) Supervision From January 2019 to December 2022 (As of 30 January 2022)

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All Supervisions Current RPGs Graduated RPGs

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Current RPGs

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Doctor of Philosophy CHEN, Chuqi
Mathematics( 2021 - )

FENG, Yaxin
Mathematics( 2021 - )

HU, Tiankai
Mathematics( 2021 - )

JIN, Tianyu
Mathematics( 2021 - )

TANG, Ke
Mathematics( 2021 - )

XU, Junjun (co-supervision)
Mechanical Engineering( 2021 - )

ZENG, Jialin
Mathematics( 2021 - )

FU, Xiaowen
Mathematics( 2020 - )

HUANG, Chutian
Mathematics( 2020 - )

FAN, Ganghua (co-supervision)
Mathematics( 2019 - )

WANG, Qicheng
Mathematics( 2019 - )

WU, Yue (co-supervision)
Mathematics( 2019 - )

YANG, Yahong
Mathematics( 2019 - )

LAN, Yuan
Mathematics( 2018 - )

---

Master of Philosophy TANAKA, Hiroki
Mathematics( 2021 - )

LIU, Honghao (co-supervision)
Data Science and Analytics( 2020 - )

---

Graduated RPGs

---

Doctor of Philosophy JIANG, Tianpeng
Mathematics( Completed in 2021 )

QIN, Xiaoxue
Mathematics( Completed in 2020 )









ProjectsFrom January 2020 to December 2022

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All Projects 5 Leading Projects 3 Participating Projects 2

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The study of the crossover between polycrystalline and amorphous solids by colloidal and metallic systems


通过胶体和金属系统研究超细多晶到无序玻璃态过度区 Participating


RGC - Collaborative Research Fund


Project Team (HKUST)
HAN Yilong (Lead)
CHEN Sherry
SUN Qingping
XIANG Yang


2021 -




Continuum models for motion of grain boundaries and triple junctions with microscopic constraints


基于微观约束的晶界及三结点运动的连续模型 Leading


RGC - General Research Fund


Project Team (HKUST)
XIANG Yang (Lead)


2020 -




Computational Design of Material Interfaces: application to the mechanical behaviour ofaerospace materials


材料界面的计算设计：应用航空航天材料的机械响应 Participating


RGC - Collaborative Research Fund


Project Team (HKUST)
XIANG Yang


2020 -




Mathematical and Numerical Analysis of Stochastic Phase Field Models


随机相场模型的数学和数值分析 Leading


RGC - General Research Fund


Project Team (HKUST)
XIANG Yang (Lead)


2019 -




Energy and Dynamics of Grain Boundaries Based on the Underlying Microstructures.


基於微观结构的晶界能量与动力学 Leading


RGC - General Research Fund


Project Team (HKUST)
XIANG Yang (Lead)


2018 - 2021