Mathematical Modeling and Simulation in Materials Science
Numerical analysis and Scientific Computing
Partial Differential Equations
Image Processing
1. 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.
2. X. 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.
3. X. Zhu and Y. Xiang, A
continuum model for the dynamics of dislocation arrays, Commun.
Math. Sci., 10(4), 1081-1103, 2012.
4. 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.
5. 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.
6. X. Zhu and Y. Xiang, Stabilizing force on
perturbed grain boundaries using dislocation model, Scripta
Mater., 64(1), 5-8, 2011.
1. H. 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.
2. D. 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.
3. D. 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.
4. C. Jin, Y. Xiang, and G. Lu, Dislocation cross-slip
mechanisms in aluminum, Phil. Mag., 91(32), 4109-4125, 2011.
5. X. Zhu and Y. Xiang, Continuum model for
dislocation dynamics in a slip plane, Phil. Mag., 90 (33), 4409-4428, 2010.
6. D. 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.
7. C. Jin,
8. 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 .
9. H. Wei and Y. Xiang, A generalized Peierls-Nabarro model for kinked dislocations, Phil.
Mag., 89(27), 2333-2354, 2009.
10. Y. Xiang, Continuum
approximation of the Peach-Koehler force on dislocations in a slip plane,
J. Mech. Phys. Solids, 57(4), 728-743, 2009.
11. 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.
12. 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.
13. 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.
14. Y. Xiang and D.J. Srolovitz,
Dislocation climb
effects on particle bypass mechanisms, Phil. Mag., 86, 3937-3957, 2006.
15. Y. Xiang, Modeling dislocations
at different scales, Commun. Comput.
Phys., 1(3), 383-424, 2006.
16. 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.
17. 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.
18. 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. X. Zhu, H. 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.
2. H. 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.
3. 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.
4. Y. Xiang and W. E, Misfit elastic energy and a
continuum model for epitaxial growth with elasticity, Phys. Rev. B, 69,
035409, 2004.
6. 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.