Department of Mathematics, HKUST  

  XIANG, Yang   項 陽

  PhD New York

  Professor/PG Programs Coordinator

Office: Room 3476  

Telephone: 7430  

Email: maxiang@ust.hk  

Home Page:
https://www.math.hkust.edu.hk/~maxiang  

Research Interests

  • Mathematical Modeling and Simulation in Materials Science; Numerical Analysis and Scientific Computing; Image Processing

Awards & Honors

  • Invited Speaker for 2021 SIAM Conference on Mathematical Aspects of Materials Science   (2021)

       Selected Publications

Full Publication List [HKUST Scholarly Publications]  

Article   

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

  17. 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

  18. 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

  19. 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

  20. 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

  21. 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

  22. 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

  23. 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

  24. 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

  25. 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

  26. 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

  27. 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

  28. 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

  29. 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

  30. 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

  31. 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

  32. 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

  33. 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

  34. 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

  35. 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

  36. 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

  37. 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

  38. 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

  39. 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

  40. 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

  41. 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

  42. 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

  43. 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

  44. 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

  45. 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

  46. 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

  47. 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

  48. 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

  49. 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

  50. 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

  51. 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

  52. 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

  53. 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

  54. 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

  55. 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

  56. 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

  57. 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

  58. 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

  59. 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

  60. 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

  61. Modeling Dislocations at Different Scales
    • Author(s): Xiang, Yang
    • Source: Communications in Computational Physics. , v. 1, (3), June 2006, p. 383-424
    • Year: 2006

  62. 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

  63. 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

  64. 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

  65. 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

  66. 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

  67. 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

  68. 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

  69. 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

  70. 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

  71. 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   

  1. 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

  2. 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   

  1. 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

  2. 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

  3. 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

  4. 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