Shaofan Li's Group 
Monographs:
1. Shaofan Li and Wing Kam Liu [2004], "Meshfree and Particle Methods", Springer-Verlag, ISBN 3540222561
2. Shaofan Li and Gang Wang [2008], "Introduction to Micromechanics and Nanomechanics", World Scientific Pub., ISBN-10 9812814132
Publications in Peer Reviewed Archive Journals:
82. Sheng, N. and Li, S. [2008], A multi-scale non-equilibrium molecular dynamics algorithm and its applications, Accepted for publication in Journal of Computational and Theoretical Nanoscience, 1-21. [pdf]
81. Li, S. [2008], On variational symmetry of defect potentials and multiscale configuration force, Philosophical Magazine, 88, 1059-1084. [pdf]
80. Qian, D., Eason, T., Li, S. and Liu, W.K. [2008], Meshfree simulation of failure modes in thin cylinder subjected to combined loads of internal pressure and localized heat, International Journal for Numerical Methods in Engineering, 76, 1159-1180. [pdf]
79. Li, S. and Sheng, N. [2007], A non-equilibrium multiscale paradigm, Chemical Physics Letters, 451, 293-300. [pdf]
78. Liu, X. Li, S. and Sheng, N. [2008], A cohesive finite element for quasi-continua, Computational Mechanics, 42, 543-555. [pdf]
77. Sauer, R. and Li, S. [2008], An atomistically enriched continuum model for nanoscale contact mechanics and Its application to contact scaling, Journal of Nanoscience and Nanotechnology, 8, 3757-3773. [pdf]
76. Sheng, N. and Li, S. [2007], A nonequilibrium multiscale simulation of shock wave propagation, Mechanics Research Communications,?35, 10-16. [pdf]
75. Li, S. [2007], A Multiscale Griffith criterion,Philosophical Magazine Letters, 87,?945-965. [pdf]
74.Sauer, R., Wang, G.,and Li, S. [2008], The composite Eshelby tensors and their applications to homogenization,Acta Mechanica, 197, 63-97. [pdf]
73. Lee, C.-L. and Li, S. [2008], The size effect of thin films on the Peierls stress of edge dislocations, Mathematics and Mechanics of Solids, 13, 316-335. [pdf]
72. Liu, X. and Li, S. [2007], Non-equilibrium multiscale computational model, Journal of Chemical Physics, 126, 124105. [pdf]
71. Medyanik, S. Liu, W.K., and Li, S. [2007], On criteria for dynamic adiabatic shear band propagation, Journal of Mechanics and Physics of Solids, 55, 1439-1461. [pdf]
70.Li, S., Linder, C., and Foulk, III. , J. W. [2007], On configurational compatibility and multiscale energy momentum tensors,Journal of Mechanics and Physics of Solids, 55, 980-1000. [pdf]
69.Lee, C.-L. and Li, S., [2007],A half-space Peierls-Nabarro model and the mobility of screw dislocations in a thin film,Acta Materialia,55, 2149-2157. [pdf]
68.Sauer, R. and Li, S., [2007], A contact mechanics model for quasi-continua,International Journal for Numerical Methods in Engineering, 71, 931-962. [pdf]
67.Sauer, R. and Li, S. [2007], An atomic interaction based continuum mechanics model for adhesive contact mechanics,Finite Elements in Analysis and Design,?43, 384-396. [pdf]
66.Li, S., Wang, G., and Sauer, R. [2007],The Eshelby tensors in a finite spherical domain: II. Applications in homogenization,ASME Journal of Applied Mechanics, 74, 784-797. [pdf]
65.Li, S., Sauer, R., and Wang, G. [2007], The Eshelby tensors in a finite spherical domain : I. Theoretical formulations,ASME Journal of Applied Mechanics, 74, 770-783. [pdf]
64.Li, S., Liu, X., Agrawal, A. and To, A. C. [2006],Perfectly matched multiscale simulations for discrete systems: Extension to multiple dimensions,Physical Review B,74, 045418. [pdf]
63. Liu, X. and Li, S. [2006],A variational multiscale stabilized method for the Stokes flow problem,Finite Elements in Analysis and Design, 42, 580-591. [pdf]
62. To, A. C., Li, S., and Glaser, S.[2006], Propagation of a model-Ⅲ interfacial conductive crack along a conductive interface between two piezoelectric materials,Wave Motion, 43, 368-386. [pdf]
61. Li, S. and Gupta, A. [2006],On dual configuration forces,Journal of Elasticity, 84, 13-31. [pdf]
60. Wang, G., Li, S., Nguyen, H.-N. and Sitar, N. [2006], Effective elastic stiffness for periodic masonry structures via eigenstrain homogenization,ASCE, Journal of Materials in Civil Engineering, 19, 269-277. [pdf]
59. Simkins, D.C. Jr. and Li, S. [2006], Meshfree simulations of ductile failure under thermal-mechanical loads,Computational Mechanics, 38, 235-249. [pdf].
58. Wang, G., Liu, X., Li, S., and Sitar, N. [2005], Smart element method II: Finite Eshelby formulation,International Journal for Numerical Methods in Engineering, 64, 1303-1333. [pdf]
57. To, A. C. and Li, S. [2005], Perfectly matched multiscale simulations, Physics Review B, 72, 035414. [pdf]
56. Li, S., To, A. C., and Glasser, S. [2005], On the scattering in a piezoelectric medium by a crack,Journal of Applied Mechanics, 72,943-954. [pdf]
55. To, A. C., Li, S. and Glaser, D. S. [2005], On scattering in dissimilar piezoelectric materials by an interfacial crack,Quarterly Journal of Mechanics and Applied Mathematics, 58, 309-331. [pdf]
54. Wang, G., Li, S., and Sauer, R. [2005], A circular inclusion in a finite elastic domain.II. The Neumann-Eshelby problem,Acta Mechanica, 179, 91-110. [pdf]
53. Li, S., Sauer, R. and Wang, G. [2005], A circular inclusion in a finite elastic domain. I. The Dirichelt-Eshelby problem,Acta Mechanica, 179,67-90. [pdf]
52. Li, S., Wang, G., and Morgan, F. E. [2004],
Effective elastic moduli of solids with cohesive microcracks,European Journal of Mechanics A, 23, 925-933. [pdf]
51. Li, S. and Gupta, A. [2004], Peierls stress of a screw dislocation in a piezoelectric medium,
Applied Physics Letter, 85, 6951-6953. [pdf]
50. Li, S., Liu, X., and Gupta, A. [2005], Smart element method I. Zienkiewicz-Zhu feedback,International Journal for Numerical Methods in Engineering, 62, 1264-1294. [pdf]
49. Li, S., Gupta, A. and Markenscoff, X. [2005],
Conservation laws of linear elasticity in stress formulations, Proceedings of Royal Society of London A, 461, 99-116. [pdf]
48. Li, S. and Simonsen, B. C. [2004],
Meshfree simulations of ductile crack propagations, International Journal of Computational Methods in Engineering Science and Mechanics, 6, 1-19. [pdf]
47. Li, S., Simkins, D.C. Jr., Lu, H., and Liu, W.K. [2004],
Reproducing kernel element interpolation: Globally conforming I^m/C^n hierarchies,
Lecture Notes in Computational Science and Engineering, 30, 109-132. [pdf]
46. Li, S. [2004],
On dual conservation laws in linear elasticity: stress function formalism,
Nonlinear Dynamics, 36, 77-96. [pdf]
45. Li, S., Gupta, A., Liu, X., and Mahyari, M. [2004],
Variational eigenstrain multiscale finite element method,
Computer Methods in Applied Mechanics and Engineering, 193, 1803-1824. [pdf]
44. Simkins, D. C. Jr., Li, S., Lu, H., and Liu, W. K. [2004],
Reproducing kernel element method Part IV. Globally compatible C^n (n >= 1) triangle hierarchy,
Computer Methods in Applied Mechanics and Engineering, 193, 1013-1034. [pdf]
43. Lu, H., Li, S., Simkins, D.C. Jr., Liu, W.K. and Cao, J. [2004],
Reproducing kernel element method Part III. Generalized enrichment and applications,
Computer Methods in Applied Mechanics and Engineering, 193, 989-1011. [pdf]
42. Li, S., Lu, H., Han, W., Liu, W.K. and Simkins, D.C. Jr. [2004],
Reproducing kernel element method Part II. Globally conforming Im/Cn hierarchies,
Computer Methods in Applied Mechanics and Engineering, 193, 953-987. [pdf]
41. Liu, W. K., Han, W., Lu, H., Li, S., and Cao, J. [2004],
Reproducing kernel element method Part I. Theoretical formulation,
Computer Methods in Applied Mechanics and Engineering, 193, 933-951. [pdf]
40. Li, S. [2004],
On dual conservation laws in planar elasticity,
International Journal of Engineering Science, 42, 1215-1239. [pdf]
39. Simonsen, B. C. and Li, S. [2004],
Meshfree simulation of ductile fracture,
International Journal of Numerical Methods in Engineering, 60, 1425-1450. [pdf]
38. Li, S. and Wang, G. [2004],
On damage theory of a cohesive medium,
International Journal of Engineering Science, 42, 861-885. [pdf]
37. Wang, G. and Li, S. [2004],
A penny-shaped cohesive crack model for material damage,
Theoretical and Applied Fracture Mechanics, 42, 303-316. [pdf]
36. Li, S. [2003],
On saturation-strip model of a permeable crack in a piezoelectric ceramic,
Acta Mechanica, 165, 47-71. [pdf]
35. O'Sullivan, C., Bray, J.D., and Li, S. [2003],
A new approach for calculating strain for particulate media,
International Journal for Numerical and Analytical Methods in Geomechanics, 27, 859-877. [pdf]
34. Li, S. and Morgan, E. F. [2003],
Micromechanics modeling of plastic yielding in a solid containing mode III cohesive cracks,
International Journal of Fracture, 119, L105-L112. [pdf]
33. Simkins, D. C. Jr. and Li, S. [2003],
Effective bending stiffness for plates with micro-cracks,
Archive of Applied Mechanics, 73, 282-309. [pdf]
32. Li, S. [2003],
On global energy release rate of a permeable crack in a piezoelectric ceramic,
ASME Journal of Applied Mechanics, 70, 246-252. [pdf]
31. Zhang, L., Liu, W.K., Li, S., Qian, D., and Hao, S. [2002],
Survey of multi-scale meshfree particle methods,
Lecture Notes in Computational Science and Engineering, 26, 441-458. [pdf]
30. Li, S. and Simkins, D.C. Jr. [2002],
Conserving Galerkin weak formulations for computational fracture mechanics,
Communications in Numerical Methods in Engineering, 18,?835-850. [pdf]
29. Li, S., Liu, W.K., Rosakis, A.J., Belytschko, T. and Hao, W. [2002],
Meshfree Galerkin simulations of dynamic shear band propagation and failure mode transition,
International Journal of Solids and Structures, 39, 1213-1240. [pdf]
28. Li, S. and Liu, W.K. [2002],
Meshfree and particle methods and their applications,
Applied Mechanics Review, 54, 1-34. [pdf]
27. Li, S., Liu, W.K., Qian, D., Guduru, P., and Rosakis, A. J. [2001],
Dynamic shear band propagation and micro-structure of adiabatic shear band,
Computer Methods in Applied Mechanics and Engineering, 191, 73-92. [pdf]
26. Song, N., Qian, D., Cao, J., Liu, W.K.and Li. S. [2001],
Effective model for prediction of springback in flanging,
ASME Journal of Engineering Materials and Technology, 123, 456-461. [pdf]
25. Li, S. [2001],
On diffraction in a piezoelectric medium by half-plane: The Sommerfeld problem
ZAMP (Zeitschrift fur angewandte Mathematik und Physik), 52, 101-134. [pdf]
24. Li, S., Qian, D., Liu, W.K. and Belytschko, T. [2001],
A meshfree contact-detection algorithm,
Computer Methods in Applied Mechanics and Engineering, 190, 3271-3292. [pdf]
23. Danielson, K. T., Uras, R.A., Aley, M.D., and Li, S. [2000],
Large-scale application of some modern CSM methodologies by parallel computation,
Advances in Engineering Software, 31, 501-509. [pdf]
22. Li, S., Hao, W., and Liu, W.K.. [2000],
Meshfree simulations shear banding under large deformation,
International Journal of Solids and Structures, 37, 7185-7206. [pdf]
21. Li, S., Hao, W. and Liu, W.K.. [2000],
Numerical simulations of large deformation of thin shell structures using meshfree methods, Computational Mechanics, 25, 102-116. [pdf]
20. Liu, W.K., Hao, S., Belytschko, T., Li, S. and Chang, C.-T. [2000],
Multi-scale methods,
International Journal for Numerical Methods in Engineering, 47, 1343-1361. [pdf]
19. Danielson, K.T., Hao, S., Liu, W., Uras, A. and Li, S. [2000],
Parallel computation of meshless methods for explicit dynamic analysis, International Journal for Numerical Methods in Engineering, 47, 1323-1341. [pdf]
18. Li, S. [2000],
On the micromechanics theory of Reissner-Mindlin plates,
Acta Mechanica, 142, 47-99. [pdf]
17. Li, S. [2000],
The micromechanics of classical plates: A congruous estimate of overall elastic stiffness,
International Journal of Solids and Structures, 37, 5599-5628. [pdf]
16. Li, S. and Liu, W.K. [2000],
Numerical simulations of strain localization in inelastic solids using meshfree methods,
International Journal for Numerical Methods in Engineering, 48, 1285-1309. [pdf]
15. Li, S. [2000],
Transient wave propagation in a transversely isotropic piezoelectric half space,
ZAMP (Zeitschrift fur angewandte Mathematik und Physik), 51, 236-266. [pdf]
14. Liu, W.K. and Hao, S. and Belytschko, T. and Li, S. and Chang, C.T. [1999],
Multiple scale meshfree methods for damage fracture and localization,
Computational Materials Science, 16, 197-205. [pdf]
13. Li, S. and Liu, W.K. [1999],
Reproducing kernel hierarchical partition of unity Part II: Applications,
International Journal for Numerical Methods in Engineering, 45, 289-317. [pdf]
12. Li, S. and Liu, W.K. [1999],
Reproducing kernel hierarchical partition of unity Part I: Formulations,
International Journal for Numerical Methods in Engineering, 45, 251-288. [pdf]
11. Li, S. and Liu, W.K. [1998],
Synchronized reproducing kernel interpolant via multiple wavelet expansion,
Computational Mechanics, 21, 28-47. [pdf]
10. Liu, W.K., Li, S., and Belytschko, T. [1997],
Moving least square reproducing kernel method. (I) Methodology and convergence,
Computer Methods in Applied Mechanics and Engineering, 143, 113-154. [pdf]
9. Li, S. and Shyy, W. [1997],
On invariant integrals in the Marguerre-von Karman shallow shell,
International Journal of Solids and Structures, 34, 2927-2944. [pdf]
8. Li, S. and Liu, W.K. [1996],
Moving least square reproducing kernel method (II) Fourier analysis,
Computer Methods in Applied Mechanics and Engineering, 139, 159-193. [pdf]
7. Li, S.[1996],
The electromagneto-acoustic surface wave in a piezoelectric medium : The Bleustein-Gulyaev mode,
Journal of Applied Physics, 80, 5264-5269. [pdf]
6. Li, S. and Mataga, P.A.. [1996],
Dynamic crack propagation in piezoelectric materials Part II: Vacuum solution,
Journal of the Mechanics and Physics of Solids, 44, 1831-1866. [pdf]
5. Li, S. and Mataga, P. A. [1996],
Dynamic crack propagation in piezoelectric materials Part I: Electrode solution,
Journal of the Mechanics and Physics of Solids, 44, 1799-1830. [pdf]
4. Liu, W.-K., Jun, S., Li, S., Adee, J., and Belytschko, T. [1995],
Reproducing kernel particle methods for structural dynamics, International Journal of Numerical Methods for Engineering, 38, 1655-1679. [pdf]
3. Li, S. and Vu-Quoc, L. [1995],
Finite-Difference-Calculus invariant structure of a class of algorithms for the nonlinear Klein-Gordon equation,
SIAM Journal on Numerical Analysis, 32, 1839-1875. [pdf]
2. Vu-Quoc, L. and Li, S. [1995],
Dynamics of sliding geometrically-exact beams: Large angle maneuvers and nonlinear parametric resonance,
Computer Methods in Applied Mechanics and Engineering, 120, 65-118. [pdf]
1. Vu-Quoc, L. and Li, S. [1993],
Invariant-Conserving finite difference algorithms for the nonlinear Klein-Gordon equation,
Computer Methods in Applied Mechanics and Engineering, 107, 341-391. [pdf]