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XIANG, Yang
項陽
(PhD New York)
Phone: (852) 2358 7430Email: maxiang@ust.hk
Office: Room 3425
Home Page
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Professor
Research Interests
Mathematical Modeling and Simulation in Materials Science; Numerical Analysis and Scientific Computing; Image ProcessingTeaching
- MATH5352 Mathematical Methods in Science and Engineering II
- MATH6914S Reading Course: Introduction to Reinforcement Learning Models
- MATH6914T Reading Course: Introduction to Computational Stochastic PDEs
- MATH6915 Scientific Computation Seminar
- MATH6915A Scientific Computation Seminar
- MATH6916 Student Seminars on Computation Related Research
Awards & Honors
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Invited Speaker for 2021 SIAM Conference on Mathematical Aspects of Materials Science
(2021)
Selected Publications
Article
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A Three-Dimensional Continuum Simulation Method for Grain Boundary Motion Incorporating Dislocation Structure
- Author(s): Qin, Xiaoxue; Zhang, Luchan; Xiang, Yang
- Source: Journal Of Scientific Computing, v. 90, (1), January 2022, article number 3
- Year: 2022
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Boundary condition for dislocation dynamic simulation in BCC crystal
- Author(s): Dai, Shuyang; Wang, Fengru; Xiang, Yang; Yang, Jerry Zhijian; Yuan, Cheng
- Source: CSIAM Transactions on Applied Mathematics, v. 2, (1), March 2021, p. 175-194
- Year: 2021
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Cauchy–Born rule and stability of crystalline solids at finite temperature
- Author(s): Luo, Tao; Xiang, Yang; Yang, Jerry Zhijian; Yuan, Cheng
- Source: Communications in Mathematical Sciences, v. 19, (6), August 2021, p. 1461-1490
- Year: 2021
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Energy Scaling and Asymptotic Properties of One-Dimensional Discrete System with Generalized Lennard-Jones (m, n) Interaction
- Author(s): Luo, Tao; Xiang, Yang; Yip, Nung Kwan
- Source: Journal of Nonlinear Science, v. 31, (2), April 2021, article number 43
- Year: 2021
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Equation of motion for grain boundaries in polycrystals
- Author(s): Zhang, Luchan; Han, Jian; Srolovitz, David J.; Xiang, Yang
- Source: npj Computational Materials, v. 7, (1), December 2021, article number 64
- Year: 2021
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Phase field model for self-climb of prismatic dislocation loops by vacancy pipe diffusion
- Author(s): Niu, Xiaohua; Xiang, Yang; Yan, Xiaodong
- Source: International Journal of Plasticity, v. 141, June 2021, article number 102977
- Year: 2021
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Continuum model for dislocation structures of semicoherent interfaces
- Author(s): Zhang, Luchan; Qin, Xiaoxue; Xiang, Yang
- Source: Computational Materials Science, v. 190, April 2021, article number 110277
- Year: 2021
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Revisit of the peierls-nabarro model for edge dislocations in Hilbert space
- Author(s): Gao, Yuan; Liu, Jian Guo; Luo, Tao; Xiang, Yang
- Source: Discrete and Continuous Dynamical Systems - Series B, v. 26, (6), June 2021, p. 3177-3207
- Year: 2020
-
Perfectly matched layer method for optical modes in dielectric cavities
- Author(s): Jiang, Tianpeng ; Xiang, Yang
- Source: Physical Review A, v. 102, (5), 5 November 2020, article number 053704
- Year: 2020
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A new formulation of coupling and sliding motions of grain boundaries based on dislocation structure
- Author(s): Zhang, Luchan; Xiang, Yang
- Source: SIAM Journal on Applied Mathematics, v. 80, (6), November 2020, p. 2365-2387
- Year: 2020
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Stochastic Peierls-Nabarro model for dislocations in high entropy alloys
- Author(s): Jiang, Tianpeng; Xiang, Yang; Zhang, Luchan
- Source: SIAM Journal on Applied Mathematics, v. 80, (6), December 2020, p. 2496-2517
- Year: 2020
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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
- Author(s): Zhou, Zhengcheng; Zhu, Yichao; Luo, Jing; Xiang, Yang; Guo, Xu
- Source: International Journal of Solids and Structures, v. 198, August 2020, p. 57-71
- Year: 2020
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Grain Boundary Triple Junction Dynamics: A Continuum Disconnection Model
- Author(s): Wei, Chaozhen ; Zhang, Luchan; Han, Jian; Srolovitz, David J.; Xiang, Yang
- Source: SIAM Journal on Applied Mathematics, v. 80, (3), 2020, p. 1101-1122
- Year: 2020
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A Continuum Multi-Disconnection-Mode model for grain boundary migration
- Author(s): Wei, Chaozhen ; Thomas, Spencer L.; Han, Jian; Srolovitz, David J.; Xiang, Yang
- Source: Journal of the Mechanics and Physics of Solids, v.133, December 2019, article number 103731
- Year: 2019
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Dislocation dynamics formulation for self-climb of dislocation loops by vacancy pipe diffusion
- Author(s): Niu, Xiaohua ; Gu, Yejun; Xiang, Yang
- Source: International Journal of Plasticity, v. 120, September 2019, p. 262-277
- Year: 2019
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Perturbation model for optical modes in deformed disks
- Author(s): Jiang, Tianpeng ; Xiang, Yang
- Source: Physical Review. A, v. 99, (2), February 2019, article number 023847, p. 023847-1-023847-7
- Year: 2019
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Disconnection description of triple-junction motion
- Author(s): Thomas, Spencer L.; Wei, Chaozhen ; Han, Jian; Xiang, Yang ; Srolovitz, David J.
- Source: Proceedings of the National Academy of Sciences of the United States of America, v. 116, (18), April 2019, p. 8756-8765
- Year: 2019
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Perturbation method for optical modes in deformed disks
- Author(s): Jiang, Tianpeng ; Xiang, Yang
- Source: Physical Review. A, v. 99, (2), 25 February 2019, article number 023847
- Year: 2019
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The effect of randomness on the strength of high-entropy alloys
- Author(s): Zhang, Luchan ; Xiang, Yang ; Han, Jian; Srolovitz, David J.
- Source: Acta Materialia, v. 166, March 2019, p. 424-434
- Year: 2019
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Stability of dislocation networks of low angle grain boundaries using a continuum energy formulation
- Author(s): Xiang, Yang ; Yan, Xiaodong
- Source: Discrete and Continuous Dynamical Systems Series B. , v. 23, (8), October 2018, p. 2989-3021
- Year: 2018
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A Continuum Model for Distributions of Dislocations Incorporating Short-range Interactions
- Author(s): Niu, Xiaohua ; Zhu, Yichao; Dai, Shuyang; Xiang, Yang
- Source: Communications in Mathematical Sciences. , v. 16, (2), 2018, p. 491-522
- Year: 2018
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Role of Grain Boundaries under Long-Time Radiation
- Author(s): Zhu, Yichao; Guo, Xu; Luo, Jing; Xiang, Yang ; Chapman, Stephen Jonathan
- Source: Physical Review Letters. , v. 120, (22), May 2018, article number 222501
- Year: 2018
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Self-healing of low angle grain boundaries by vacancy diffusion and dislocation climb
- Author(s): Gu, Y.; Xiang, Yang ; Srolovitz, D.J.; El-Awady, J.A.
- Source: Scripta Materialia. , v. 155, October 2018, p. 155-159
- Year: 2018
-
Motion of Grain Boundaries Incorporating Dislocation Structure
- Author(s): Zhang, Luchan ; Xiang, Yang
- Source: Journal of the Mechanics and Physics of Solids. , v. 117, August 2018, p. 157-178
- Year: 2018
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From Atomistic Model to the Peierls-Nabarro Model with Gamma-surface for Dislocations
- Author(s): Luo, Tao ; Ming, Pingbing; Xiang, Yang
- Source: Archive for Rational Mechanics and Analysis. , v. 230, (2), November 2018, p. 735-781
- Year: 2018
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An Efficient High Order Method for Dislocation Climb in Two Dimensions
- Author(s): Jiang, Shidong; Rachh, Manas; Xiang, Yang
- Source: Multiscale Modeling and Simulation. , v. 15, (1), 2017, p. 235-253
- Year: 2017
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A Three-Scale Homogenisation Approach to the Prediction of Long-Time Absorption of Radiation Induced Interstitials by Nanovoids at Interfaces
- Author(s): Zhu, Yichao; Wang, Jian; Xiang, Yang; Guo, Xu
- Source: Journal of the Mechanics and Physics of Solids. , v. 105, August 2017, p. 1-20
- Year: 2017
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Equation of Motion for a Grain Boundary
- Author(s): Zhang, Luchan; Han, Jian; Xiang, Yang; Srolovitz, David J
- Source: Physical Review Letters. , v. 119, (24), 12 December 2017, article number 246101
- Year: 2017
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Dislocation Climb Models from Atomistic Scheme to Dislocation Dynamics
- Author(s): Niu, Xiaohua ; Luo, Tao ; Lu, Jianfeng; Xiang, Yang
- Source: Journal of the Mechanics and Physics of Solids. , v. 99, February 2017, p. 242-258
- Year: 2017
-
Point Defect Sink Efficiency of Low-angle Tilt Grain Boundaries
- Author(s): Gu, Yejun PHYS; Han, Jian; Dai, Shuyang; Zhu, Yichao ; Xiang, Yang ; Srolovitz, David J.
- Source: Journal of the Mechanics and Physics of Solids. , v. 101, 2017, p. 166-179
- Year: 2017
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Energy of Low Angle Grain Boundaries Based on Continuum Dislocation Structure
- Author(s): Zhang, Luchan ; Gu, Yejun PHYS; Xiang, Yang
- Source: Acta Materialia. , v. 126, March 2017, p. 11-24
- Year: 2017
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Structure and Energetics of Interlayer Dislocations in Bilayer Graphene
- Author(s): Dai, Shuyang; Xiang, Yang; Srolovitz, David J.
- Source: Physical Review B. , v. 93, (8), February 2016, article number 085410
- Year: 2016
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Twisted Bilayer Graphene: Moire with a Twist
- Author(s): Dai, Shuyang; Xiang, Yang; Srolovitz, David J.
- Source: Nano Letters. , v. 16, (9), September 2016, p. 5923-5927
- Year: 2016
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The Role of Dislocation Pile-Up in Flow Stress Determination and Strain Hardening
- Author(s): Zhu, Yichao; Xiang, Yang; Schulz, Katrin V.
- Source: Scripta Materialia. , v. 116, April 2016, p. 53-56
- Year: 2016
-
Continuum Dynamics of the Formation, Migration and Dissociation of Self-Locked Dislocation Structures on Parallel Slip Planes
- Author(s): Zhu, Yichao; Niu, Xiaohua; Xiang, Yang
- Source: Journal of the Mechanics and Physics of Solids. , v. 96, November 2016, p. 369-387
- Year: 2016
-
Homogenization of a Row of Dislocation Dipoles from Discrete Dislocation Dynamics
- Author(s): Chapman, Stephen Jonathan; Xiang, Yang; Zhu, Yichao
- Source: SIAM Journal on Applied Mathematics. , v. 76, (2), April 2016, p. 750-775
- Year: 2016
-
Energy Scaling and Asymptotic Properties of Step Bunching in Epitaxial Growth with Elasticity Effects
- Author(s): Luo, Tao; Xiang, Yang; Yip, Nung Kwan
- Source: Multiscale Modeling and Simulation. , v. 14, (2), May 2016, p. 737-771
- Year: 2016
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Relaxation of Low-Angle Grain Boundary Structure by Climb of the Constituent Dislocations
- Author(s): Gu, Yejun; Xiang, Yang; Srolovitz, David J.
- Source: Scripta Materialia. , v. 114, March 2016, p. 35-40
- Year: 2016
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A Numerical Scheme for Generalized Peierls-Nabarro Model of Dislocations Based on the Fast Multipole Method and Iterative Grid Redistribution
- Author(s): Zhu, Aiyu; Jin, Congming; Zhao, Degang; Xiang, Yang; Huang, Jingfeng
- Source: Communications in Computational Physics. , v. 18, (5), November 2015, p. 1282-1312
- Year: 2015
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A Continuum Model for Dislocation Dynamics in Three Dimensions Using the Dislocation Density Potential Functions and its Application to Micro-Pillars
- Author(s): Zhu, Yichao; Xiang, Yang
- Source: Journal of the Mechanics and Physics of Solids. , v. 84, November 2015, p. 230-253
- Year: 2015
-
Three-dimensional formulation of dislocation climb
- Author(s): Gu, Yejun; Xiang, Yang; Quek, Siu Sin; Srolovitz, David J.
- Source: Journal of the Mechanics and Physics of Solids. , v. 83, October 2015, p. 319-337
- Year: 2015
-
A Continuum Model for Dislocation Dynamics Incorporating Frank-Read Sources and Hall-Petch Relation in Two Dimensions
- Author(s): Zhu, Yongchang; Wang, Hanquan; Zhu, Xiaohong; Xiang, Yang
- Source: International Journal of Plasticity. , v. 60, September 2014, p. 19-39
- Year: 2014
-
Continuum Framework for Dislocation Structure, Energy and Dynamics of Dislocation Arrays and Low Angle Grain Boundaries
- Author(s): Zhu, Xiaohong; Xiang, Yang
- Source: Journal of the Mechanics and Physics of Solids. , v. 69, (1), September 2014, p. 175-194
- Year: 2014
-
Atomistic, Generalized Peierls-Nabarro and Analytical Models for (1 1 1) Twist Boundaries in Al, Cu and Ni for All Twist Angles
- Author(s): Dai, Shuyang; Xiang, Yang; Srolovitz, David J.
- Source: Acta Materialia. , v. 69, May 2014, p. 162-174
- Year: 2014
-
An Adaptive Level Set Method Based on Two-Level Uniform Meshes and its Application to Dislocation Dynamics
- Author(s): Wang, Hanquan; Xiang, Yang
- Source: International Journal for Numerical Methods in Engineering. , v. 94, (6), May 2013, p. 573-597
- Year: 2013
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Structure and Energy of (111) Low-Angle Twist Boundaries in Al, Cu and Ni
- Author(s): Dai, Shuyang; Xiang, Yang; Srolovitz, David J.
- Source: Acta Materialia. , v. 61, (4), February 2013, p. 1327-1337
- Year: 2013
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Numerical Simulation of Dynamics of Dislocation Arrays and Long-Range Stress Fields of Nonplanar Dislocation Arrays
- Author(s): Zhu, Xiaohong; Dai, Shuyang; Xiang, Yang
- Source: International Journal of Plasticity. , v. 43, April 2013, p. 85-100
- Year: 2013
-
A Continuum Model for the Dynamics of Dislocation Arrays
- Author(s): Zhu, Xiaohong; Xiang, Yang
- Source: Communications in Mathematical Sciences. , v. 10, (4), 2012, p. 1081-1103
- Year: 2012
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Fast Multipole Accelerated Boundary Integral Equation Method for Evaluating the Stress Field Associated with Dislocations in a Finite Medium
- Author(s): Zhao, Degang; Huang, Jingfang; Xiang, Yang
- Source: Communications in Computational Physics. , v. 12, (1), July 2012, p. 226-246
- Year: 2012
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Asymptotic behaviors of the stress fields in the vicinity of dislocations and dislocation segments
- Author(s): Zhao, Degang; Wang, Hanquan; Xiang, Yang
- Source: Philosophical Magazine. , v. 92, (18), June 2012, p. 2351-2374
- Year: 2012
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Stabilizing Force on Perturbed Grain Boundaries Using a Dislocation Model
- Author(s): Zhu, Xiaohong; Xiang, Yang
- Source: Scripta Materialia. , v. 64, (1), January 2011, p. 5-8
- Year: 2011
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Loss of Interface Coherency Around a Misfitting Spherical Inclusion
- Author(s): Quek, Siu Sin; Xiang, Yang; Srolovitz, David J.
- Source: Acta Materialia. , v. 59, (14), August 2011, p. 5398-5410
- Year: 2011
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Dislocation Cross-Slip Mechanisms in Aluminum
- Author(s): Jin, Congming; Xiang, Yang; Lu, Gang
- Source: Philosophical Magazine. , v. 91, (32), November 2011, p. 4109-4125
- Year: 2011
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A Continuum Model for Core Relaxation of Incoherent Twin Boundaries Based on the Peierls-Nabarro Framework
- Author(s): Dai, Shuyang; Xiang, Yang; Zhang, Tongyi
- Source: Scripta Materialia. , v. 64, (5), March 2011, p. 438-441
- Year: 2011
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Continuum Model for Dislocation Dynamics in a Slip Plane
- Author(s): Zhu, Xiaohong; Xiang, Yang
- Source: Philosophical Magazine. , v. 90, (33), November 2010, p. 4409-4428
- Year: 2010
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Dislocation Cross-Slip in Heteroepitaxial Multilayer Films
- Author(s): Quek, Siu Sin; Zhang, Yongwei; Xiang, Yang; Srolovitz, David J.
- Source: Acta Materialia. , v. 58, (1), January 2010, p. 226-234
- Year: 2010
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Computing Transition Rates of Thermally Activated Events in Dislocation Dynamics
- Author(s): Jin, Congming; Ren, Weiqing; Xiang, Yang
- Source: Scripta Materialia. , v. 62, (4), February 2010, p. 206-209
- Year: 2010
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A New Version Fast Multipole Method for Evaluating the Stress Field of Dislocation Ensembles
- Author(s): Zhao, Degang; Huang, Jingfang; Xiang, Yang
- Source: Modelling and Simulation in Materials Science and Engineering. , v. 18, (4), June 2010, article number 045006
- Year: 2010
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A generalized Peierls–Nabarro model for kinked dislocations
- Author(s): Wei, He; Xiang, Yang
- Source: Philosophical Magazine. , v. 89, (27), September 2009, p. 2333-2354
- Year: 2009
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Continuum approximation of the Peach–Koehler force on dislocations in a slip plane
- Author(s): Xiang, Yang
- Source: Journal of the Mechanics and Physics of Solids. , v. 57, (4), April 2009, p. 728-743
- Year: 2009
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Continuum Model for the Long-Range Elastic Interaction on Stepped Epitaxial Surfaces in 2+1 Dimensions
- Author(s): Zhu, Xiaohong; Xu, Haoyun; Xiang, Yang
- Source: Physical Review B: Condensed Matter and Materials Physics. , v. 79, (12), March 2009, article number 125413
- Year: 2009
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A Generalized Peierls-Nabarro Model for Curved Dislocations and Core Structures of Dislocation Loops in Al and Cu
- Author(s): Xiang, Yang; Wei, He; Ming, Pingbing; E, Weinan
- Source: Acta Materialia. , v. 56, (7), April 2008, p. 1447-1460
- Year: 2008
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A Generalized Peierls-Nabarro Model for Curved Dislocations Using Discrete Fourier Transform
- Author(s): Wei, He; Xiang, Yang; Ming, Pingbing
- Source: Communications in Computational Physics. , v. 4, (2), August 2008, p. 275-293
- Year: 2008
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Derivation of a Continuum Model for the Long-Range Elastic Interaction on Stepped Epitaxial Surfaces in 2+1 Dimensions
- Author(s): Xu, Haoyun; Xiang, Yang
- Source: SIAM Journal on Applied Mathematics. , v. 69, (5), 2009, p. 1393-1414
- Year: 2008
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Dislocation Junctions as Barriers to Threading Dislocation Migration
- Author(s): Quek, Siu Sin; Wu, Zhaoxuan; Zhang, Yong-Wei; Xiang, Yang; Srolovitz, David J.
- Source: Applied Physics Letters. , v. 90, (1), January 2007, article number 011905
- Year: 2007
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Level set simulation of dislocation dynamics in thin films
- Author(s): Quek, Siu Sin; Xiang, Yang; Zhang, Yongwei; Srolovitz, David J.; Lu, Chun
- Source: Acta Materialia. , v. 54, (9), May 2006, p. 2371-2381
- Year: 2006
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Modeling Dislocations at Different Scales
- Author(s): Xiang, Yang
- Source: Communications in Computational Physics. , v. 1, (3), June 2006, p. 383-424
- Year: 2006
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Dislocation Climb Effects on Particle Bypass Mechanisms
- Author(s): Xiang, Yang; Srolovitz, D.J.
- Source: Philosophical Magazine. , v. 86, (25-26), September 2006, p. 3937-3957
- Year: 2006
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An active contour model for image segmentation based on elastic interaction
- Author(s): Xiang, Yang; Chung, Albert Chi Shing; Ye, Jian
- Source: Journal of Computational Physics. , v. 219, (1), November 2006, p. 455-476
- Year: 2006
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An Integral Equation Method for Epitaxial Step-Flow Growth Simulations
- Author(s): Huang, Jingfang; Lai, Ming-chih; Xiang, Yang
- Source: Journal of Computational Physics. , v. 216, (2), August 2006, p. 724-743
- Year: 2006
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Misfit Elastic Energy and a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces
- Author(s): Xiang, Yang; E, Weinan
- Source: Physical Review B - Condensed Matter and Materials Physics. , v. 69, (3), January 2004, article number 035409
- Year: 2004
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Level Set Simulations of Dislocation-particle Bypass Mechanisms
- Author(s): Xiang, Yang; Srolovitz, D.J.; Cheng, L.-T.; E, Weinan
- Source: Acta Materialia. , v. 52, (7), April 2004, p. 1745-1760
- Year: 2004
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A Level Set Method for Dislocation Dynamics
- Author(s): Xiang, Yang; Cheng, Li-Tien; Srolovitz, David J.; E, Weinan
- Source: Acta Materialia. , v. 51, (18), October 2003, p. 5499-5518
- Year: 2003
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Nonlinear evolution equation for the stress-driven morphological instability
- Author(s): Xiang, Yang; E, Weinan
- Source: Journal of Applied Physics. , v. 91, (11), June 2002, p. 9414-9422
- Year: 2002
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Derivation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surface
- Author(s): Xiang, Yang
- Source: SIAM Journal on Applied Mathematics. , v. 63, (1), July 2002, p. 241-258
- Year: 2002
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Comparison principle for viscosity solutions with high growth at infinity
- Author(s): Xiang, Yang
- Source: Journal of Partial Differential Equations. , v. 10, (2), 1997, p. 107-122
- Year: 1997
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Existence for Viscosity Solutions of Nonlinear Degenerate Elliptic Equations in RN
- Author(s): Xiang, Yang
- Source: Acta Mathematicae Applicatae Sinica. , v. 20, 1997, p. 209-220
- Year: 1997
Book chapter
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Dislocation Dynamics in 2 + epsilon Dimensions: Slip Planes, Thin Films, and Grain Boundaries
- Author(s): Xiang, Yang; Quek, Siu-Sin; Zhang, Yong-Wei; Lim, Adele; Srolovitz, David J.
- Source: Multiscale Modeling and Analysis for Materials. , / Edited by Weizhu Bao, Qiang Du. Singapore ; Hackensack, NJ : World Scientific, c2012, p.1-94
- Year: 2012
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Level Set Dislocation Dynamics Method
- Author(s): Xiang, Yang; Srolovitz, David J.
- Source: Handbook of Materials Modeling. , / Edited by Sidney Yip. Netherlands : Springer, 2005, pp 2307-2323
- Year: 2005
Conference paper
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An elastic interaction based loss function for medical image segmentation
- Author(s): Lan, Yuan ; Xiang, Yang; Zhang, Luchan
- Source: Lecture Notes in Computer Science, v. 12265, 2020, p. 755-764
- Year: 2020
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A New Active Contour Method Based on Elastic Interaction
- Author(s): Xiang, Yang; Chung, Albert Chi Shing; Ye, Jian
- Source: Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition. , v. 1, 2005, p. 452-457
- Year: 2005
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Elastic Interaction Models for Active Contours and Surfaces
- Author(s): Chung, Albert Chi Shing; Xiang, Yang; Ye, Jian; Law, Max Wai Kong
- Source: Lecture Notes in Computer Science. , v. 3765, 2005, p. 314-323
- Year: 2005
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An efficient step flow simulation scheme using potential theory
- Author(s): Huang, Jingfang; Xiang, Yang
- Source: Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics, Elsevier. , 2001, p. 861-864
- Year: 2001