Mathematical Modeling and Simulation in Materials Science
Numerical analysis and Scientific Computing
Partial Differential Equations
Image Processing
1. L.C. Zhang, J. Han, Y. Xiang, and D.J. Srolovitz, The equation of motion
for a grain boundary, Phys. Rev. Lett. 119, 246101, 2017.
2. L.C. Zhang and Y. Xiang, Motion of grain boundaries
incorporating dislocation structure, arXiv:1710.01856,
2017.
3. Y. Xiang and X.D. Yan, Stability of dislocation networks
on low angle grain boundaries using a continuum energy formulation, Dis.
Cont. Dyn. Sys. B, 2017.
4. Y.C. Zhu, J. Wang, Y. Xiang, and X. Guo, A
Three-scale Homogenisation Approach to the Prediction
of Long-time Absorption of Radiation Induced Interstitials by Nanovoids at Interfaces, J. Mech. Phys. Solids, 105,
1-20, 2017.
5. Y.J. Gu,
J. Han, S.Y. Dai, Y.C. Zhu, Y. Xiang, and D. J. Srolovitz,
Point defect sink
efficiency of low-angle tilt grain boundaries, J. Mech. Phys. Solids, 101,
166-179, 2017.
6. L.C. Zhang, Y.J. Gu,
and Y. Xiang, Energy
of low angle grain boundaries based on continuum dislocation structure, Acta Mater., 126, 11-24, 2017. (arXiv:1610.04318, 2016)
7. S.Y. Dai, Y. Xiang, and D. J. Srolovitz, Twisted bilayer graphene:
Moire with a twist, Nano Lett. 16, 5923-5927,
2016.
8. S.Y. Dai, Y. Xiang, and D. J. Srolovitz, Structure and energetics of
interlayer dislocations in bilayer graphene, Phys. Rev. B, 93, 085410,
2016.
9. Y.J. Gu,
Y. Xiang, and D.J. Srolovitz, Relaxation of low
angle grain boundary structure by climb of the constituent dislocations, Scripta Mater., 114, 35-40, 2016.
10. X.H. Zhu and Y. Xiang, Continuum framework for
dislocation structure, energy and dynamics of dislocation arrays and low angle
grain boundaries, J. Mech. Phys. Solids, 69, 175-194, 2014.
11. S.Y. Dai, Y. Xiang, and D. J. Srolovitz, Atomistic, generalized Peierls-Nabarro, and analytical models for (111) twist
boundaries in Al, Cu and Ni for all twist angles, Acta
Mater, 69, 162-174, 2014.
12. S.Y. Dai, Y. Xiang, and D. J. Srolovitz, Structure and energy of
(111) low angle twist boundaries in Al, Cu and Ni, Acta
Mater., 61(4), 1327-1337, 2013.
13. X.H. Zhu, S.Y. Dai, and Y. Xiang, Numerical simulation of
dynamics of dislocation arrays and long-range stress fields of nonplanar
dislocation arrays, Int. J. Plasticity, 43, 85-100, 2013.
14. X.H. Zhu and Y. Xiang, A continuum model for the
dynamics of dislocation arrays, Commun. Math.
Sci., 10(4), 1081-1103, 2012.
15. S.S. Quek, Y.
Xiang, and D. J. Srolovitz, Loss of interface
coherency around a misfitting spherical inclusion,
Acta Mater., 59(14), 5398-5410, 2011.
16. S.Y. Dai, Y. Xiang, and T.Y. Zhang, A continuum model for
core relaxation of incoherent twin boundaries based on the Peierls-Nabarro
framework, Scripta Mater., 64(5), 438-441, 2011.
17. X.H. Zhu and Y. Xiang, Stabilizing force on perturbed
grain boundaries using dislocation model, Scripta
Mater., 64(1), 5-8, 2011.
1. T. Luo, P. B. Ming, and Y. Xiang, From Atomistic Model to the Peierls-Nabarro Model with Gamma-surface for Dislocations,
arXiv:1706.03145, 2017.
2. X. H. Niu, Y. C.
Zhu, S. Y. Dai, and Y. Xiang, A
continuum model for distributions of dislocations incorporating
short-range interactions, Commun. Math.
Sci., to appear, 2018.
3. X. H. Niu, T. Luo,
J. F. Lu, and Y. Xiang, Dislocation
climb models from atomistic scheme to dislocation dynamics, J. Mech. Phys.
Solids, 99, 242-258, 2017. (arXiv:1607.08734,
2016)
4. S. D. Jiang, M. Rachh,
and Y. Xiang, An efficient high
order method for dislocation climb in two dimensions, SIAM Multiscale
Model. Simul, 15, 235-253, 2017.
5. Y.C. Zhu, X.H. Niu,
and Y. Xiang, Continuum
dynamics of the formation, migration and dissociation of self-locked
dislocation structures on parallel slip planes, J. Mech. Phys. Solids, 96,
369-387, 2016.
6. S. J. Chapman, Y. Xiang, and Y. C. Zhu, Homogenisation
of a row of dislocation dipoles from discrete dislocation dynamics, SIAM J.
Appl. Math., 76(2), 750-775, 2016.
7. Y.C. Zhu, Y. Xiang, and K. Schulz, The role of
dislocation pile-up in flow stress determination and strain hardening, Scripta Mater., 116, 53-56, 2016.
8. Y.C. Zhu and Y. Xiang, A continuum model for
dislocation dynamics in three dimensions using the dislocation density
potential functions and its application to micro-pillars, J. Mech. Phys.
Solids, 84, 230-253, 2015.
9. Y.J. Gu,
Y. Xiang, S.S. Quek, and D.J. Srolovitz,
Three-dimensional
formulation of dislocation climb, J. Mech. Phys. Solids, 83, 319-337, 2015.
10. A.Y. Zhu, C.M. Jin,
D.G. Zhao, Y. Xiang, and J.F. Huang, A numerical scheme for
generalized Peierls-Nabarro model of dislocations
based on the fast multipole method and iterative grid redistribution, Commun. Comput. Phys, 18,
1282-1312, 2015.
11. Y.C. Zhu, H.Q. Wang, X.H. Zhu, and Y. Xiang,
A continuum model for
dislocation dynamics incorporating Frank-Read sources and Hall-Petch relation in two dimensions, Int. J. Plasticity,
60, 19-39, 2014.
12. H.Q. Wang and Y. Xiang, An adaptive level set method based on
two-level uniform meshes and its application to dislocation dynamics, Int.
J. Numer. Meth. Engng,
94(6), 573-597, 2013.
13. D.G. Zhao. H. Wang, and Y. Xiang, Asymptotic behaviors of
the stress fields in the vicinity of dislocations and dislocation segments,
Phil. Mag., 92(18), 2351-2374, 2012.
14. D.G. Zhao, J.F. Huang, and Y. Xiang, Fast multipole accelerated
boundary integral equation method for evaluating the stress field associated
with dislocations in a finite medium, Commun. Comput. Phys., 12(1), 226-246, 2012.
15. C.M. Jin, Y. Xiang, and G. Lu, Dislocation cross-slip
mechanisms in aluminum, Phil. Mag., 91(32), 4109-4125, 2011.
16. X.H. Zhu and Y. Xiang, Continuum model for
dislocation dynamics in a slip plane, Phil. Mag., 90 (33), 4409-4428, 2010.
17. D.G. Zhao, J.F. Huang, and Y. Xiang, A new version fast
multipole method for evaluating the stress field of dislocation ensembles,
Modelling Simul. Mater. Sci. Eng., 18(4), 045006, 2010.
18. C.M. Jin, W. Ren, and Y. Xiang, Computing transition
rates of thermally activated events in dislocation dynamics, Scripta Mater., 62(4), 206-209, 2010.
19. S. S. Quek, Y. W.
Zhang, Y. Xiang, and D. J. Srolovitz, Dislocation cross-slip
in heteroepitaxial multilayer films, Acta Mater., 58(1),
226-234, 2010 .
20. H. Wei and Y. Xiang, A generalized Peierls-Nabarro model for kinked dislocations, Phil.
Mag., 89(27), 2333-2354, 2009.
21. Y. Xiang, Continuum
approximation of the Peach-Koehler force on dislocations in a slip plane,
J. Mech. Phys. Solids, 57(4), 728-743, 2009.
22. H. Wei, Y. Xiang, and P.B. Ming, A generalized Peierls-Nabarro model for curved dislocations using
discrete Fourier transform, Commun. Comput. Phys., 4(2), 275-293, 2008.
23. Y. Xiang, H. Wei, P.B. Ming, and W. E, A generalized Peierls-Nabarro model for curved dislocations and core
structures of dislocation loops in Al and Cu, Acta
Mater., 56(7), 1447-1460, 2008.
24. S.S. Quek, Z. Wu,
Y.W. Zhang, Y. Xiang, and D.J. Srolovitz, Dislocation junctions as
barriers to threading dislocation migration, Appl. Phys. Lett., 90, 011905,
2007.
25. Y. Xiang and D.J. Srolovitz,
Dislocation climb
effects on particle bypass mechanisms, Phil. Mag., 86, 3937-3957, 2006.
26. Y. Xiang, Modeling
dislocations at different scales, Commun. Comput. Phys., 1(3), 383-424, 2006.
27. S.S. Quek, Y.
Xiang, Y.W. Zhang, D.J. Srolovitz, and C. Lu, Level set simulation
of dislocation dynamics in thin films, Acta
Mater., 54(9), 2371-2381, 2006.
28. Y. Xiang, D.J. Srolovitz,
L.T. Cheng, and W. E, Level set
simulations of dislocation-particle bypass mechanisms, Acta
Mater., 52 (7), 1745-1760 , 2004.
29. Y. Xiang, L.T. Cheng, D.J. Srolovitz, and W. E, A level set method
for dislocation dynamics, Acta Mater., 51(18),
5499-5518, 2003.
1. T. Luo, Y. Xiang, and N. K. Yip, Energy scaling and asymptotic
properties of step bunching in epitaxial growth with elastic effects,
Multiscale Model. Simul., 44(2), 737-771, 2016.
2. X.H. Zhu, H.Y. Xu and Y. Xiang, Continuum model
for the long-range elastic interaction on stepped epitaxial surfaces in 2+1
dimensions, Phys. Rev. B, 79(12), 125413, 2009.
3. H.Y. Xu and Y. Xiang, Derivation of a continuum model for
the long-range elastic interaction on stepped epitaxial surfaces in 2+1
dimensions, SIAM J. Appl. Math., 69(5), 1393-1414, 2009.
4. J.F. Huang, M.C. Lai, and Y. Xiang, An integral equation
method for epitaxial step-flow growth simulations, J. Comput.
Phys., 216(2), 724-743, 2006.
5. Y. Xiang and W. E, Misfit elastic energy and a
continuum model for epitaxial growth with elasticity, Phys. Rev. B, 69,
035409, 2004.
7. Y. Xiang, and W. E, Nonlinear evolution equation of the
stress-driven morphological instability, J. Appl. Phys., 91,
9414-9422, 2002.
1. Y. Xiang, A.C.S. Chung, and J. Ye, An active contour model
for image segmentation based on elastic interaction, J. Comput.
Phys., 219(1), 455-476, 2006.
2. A.C.S. Chung, Y. Xiang, J. Ye, and W.K. Law,
Elastic interaction models for
active contours and surfaces, The International Workshop on Computer Vision
for Biomedical Image Applications: Current Techniques and Future Trends, The
Tenth IEEE International Conference on Computer Vision (ICCV Workshop 2005),
Beijing, China, Oct, 2005, LNCS 3765, pp. 314-323.
3. Y. Xiang, A.C.S. Chung, and J. Ye, A new active contour method based
on elastic interaction, IEEE International Conference on Computer Vision
and Pattern Recognition 2005 (CVPR 2005), San Diego, CA, USA, June 20-26, 2005,
Vol. 1, 452-457.