Shaofan Li

1. Publications in Peer Reviewed Archive Journals:

139. Lai, X., Liu, L., Li, S., Zelekea, M., Liu, Q., and Wang, Z. [2017], “A non-ordinary state-based peridy-
namics modeling of fractures in quasi-brittle materials,” International Journal of Impact Engineering
accepted for publication.

138. Li, T., Tu, Q. and Li, S. [2017], “Molecular dynamics modeling of nano-porous centrifuge for reverse-
osmosis desalination,” Desalination accepted for publication.

137. Tu, Q. and Li, S. [2017], “An updated Lagrangian particle hydrodynamics (ULPH) for Newtonian
fluids,” Journal of Computational Physics, 348, 493-513.

136. Zheng, S., Tu, Q., Urban, J.J., Li, S. and Mi, B. [2017], “Swelling of graphene oxide membranes in
aqueous solution: Characterization of interlayer spacing and insight into water transport mechanisms, ACS Nano, 11(6), 64406450.

135. Lyu, D. and Li, S. [2017], ``Multiscale crystal defect dynamics: A coarse-grained lattice
defect model based on crystal microstructure,'' Journal of Mechanics and Physics of Solids, 107, 379-410.

134. Urata, S. and Li, S. [2017], ``A multiscale model for amorphous materials.'' Computational Materials Science, 135, 64-77.

133. Zhang, Y., G.-R. Ma, X.-C. Zhang, S. Li, and S.-T. Tu [2017], ``Thermal oxidation of Ti-6Al–4 V alloy and pure titanium under external bending strain: Experiment and modelling,'' Corrosion Science, 122, 61-73.

132. Fan, H. and S. Li [2017], ``A Peridynamics-SPH modeling and simulation of blast fragmentation of Soil
under buried explosive loads,'' Computer Methods in Applied Mechanics and Engineering, 318, 349-381.

131. Zhang Y., X.-Z. Zhang, S.-T. Tu, and S. Li [2016], ``An Eshelbian homogenization solution for a coupled stress-diffusion moving interface problem in composites,'' Journal of Micromechanics and Molecular Physics, 1(3-4),  No. 1640011.

130. Urata, S. and S. Li [2017], “Higher order Cauchy-Born rule based multiscale cohesive zone model
and prediction of fracture toughness of Silicon thin films,” International Journal of Fracture, 203 (1),159-181.

129. Lyu, D. and H. Fan and S. Li [2016], ``A Hierarchical Multiscale Cohesive Zone Model and Simulation of Dynamic Fracture in Metals,'' Engineering Fracture Mechanics, 163, 327-347.

128. Tong, Q. and S. Li [2016], ``Multiscale Coupling of Molecular Dynamics and Peridynamics,'' Journal of Mechanics and Physics of Solids, 95, 169-187.

127. Fan, H. and S. Li [2017], ``Parallel Peridynamics-SPH Simulation of Soil Fragmentation by Using OpenMP,'' Computational Particle Mechanics, 4, 199-211.

126. Tu, Q., Q. Yang, H. Wang, and S. Li [2016], ``Rotating carbon nanotube membrane filter for water desalination,''Scientific Reports., 6, 26183.

125. Shi, C., Tu, Q., Fan, H., and S. Li [2016], ``An interphase model for e ective elastic properties of concrete composites,'' Journal of Micromechanics and Molecular Physics, 1 No.1, 1650005, DOI: 10.1142​

124. Bergel, G.L. and S. Li [2016],  ``The total and updated Lagrangian formulation of state-based peridynamics, Computational Mechanics,'' 1-20, DOI 10.1007/s00466-016-1297-8​.

123.  Li, S. and S. Urata [2016], ``An atomistic-to-continuum molecular dynamics: Theory, algorithm, and applications,'' Computer Methods in Applied Mechanics and Engineering, 306, 452-478.

122. Peralta, N.R., K. M. Mosalam, and S. Li [2016],  ``Multiscale homogenization analysis for the effective elastic properties of masonry structures,'' ASCE Journal of Materials in Civil Engineering, No. 04016056.​

 121, Shi, C., Q. Tu, H. Fan,  C. A. O. Rios and S. Li [2015]``Interphase Models for Nanoparticle-Polymer Composites,'' ​ASCE Journal of Nanomechanics and Micromechanics,  6, 04016003​
 

120. Fan, H. and S. Li [2015],
``A three-dimensional surface formulation for adhesive contact in finite deformation,''
 International Journal for Numerical Methods in Engineering, 107, 252-270.

119, Fan, H., B. Ren and S. Li [2015],
``An adhesive contact mechanics formulation based on atomistically induced surface traction,''
Journal of Computational Physics, 302, 402-438;
DOI:10.1016/j.jcp.2015.08.035.

118. Fan, H., G. L. Bergel and S. Li [2015],
``A hybrid Peridynamics-SPH simulation of soil fragmentation by blast loads of buried explosive,''
International Journal of Impact Engineering, 87, 14-27;
 DOI:10.1016/j.ijimpeng.2015.08.006.

117. Tong, Q. and S. Li [2015],
``From molecular systems to continuum solids: A multiscale structure and dynamics,''
Journal of Chemical Physics, 143, No. 064101; DOI: 10.1063/1.4927656.​

116. H. Fan and S. Li [2010] ``Multiscale cohesive zone modeling of crack propagations in polycrystallne solids,''                         Gesellschaft fur Angewandte Mathematik und Mechanik (GAMM),  38, 268-284.                                          

115. Yang, H., Z. Chen, S. Li, H. Zhang and J. Fan [2015]
``An integrated coupling element for vehicle-rail-bridge interaction
system with a non-uniform continuous bridge,''
Acta Mechanica Solida Sinica, 28, 313-330.

114.Tong, Q. and S. Li [2015]
``A multiscale molecular dynamics allowing macroscale mechanical loads,''
European Physics Letters,  110, No. 60005.

113. Li, S. and H. Fan [2015]
``On multiscale moving  contact line theory''
Proceedings of Royal Society of London A, 471, No. 20150224.​

112. Li, S. and T. Qi [2015]
``A concurrent multiscale micromorphic molecular dynamics,''
Journal of Applied Physics, 117, No. 154303, DOI:10.1063/1.4916702.

111. Fan, H. and S. Li [2015]
``Modeling universal dynamics of cell spreading on elastic substrates,''
Biomechanics and Modeling in Mechanobiology (BMMB), 14, 1265-1280,
(DOI) 10.1007/s10237-015-0673-1.

110. H. Fan, C. Shi, and S. Li [2015]
``Application of multiscale process zone model to simulate fracture in polycrystalline solids,''
 Journal of Multiscale Modeling5,  No. 1350015.


109. C. Shi, H. Fan, and S. Li [2015]
``An interphase model for effective moduli of nanoparticle reinforced composites,''
ASCE Journal of Engineering Mechanics, 140 (4) No. 04013003.

108. B. Ren, F. Houfu, G. L. Bergel, R. A. Regueiro, X. Lai, and S. Li [2014],
``A peridynamics-SPH coupling approach to simulate soil fragmentation induced by shock waves,''
Computational Mechanics 55, 287-302, DOI 10.1007/s00466-014-1101-6.

107. X. Lai, B. Ren, H. Fan, S. Li, C. T. Wu, R. A. Regueiro, and L. Liu [2014],
``Peridynamics simulations of soil fragmentation by impulse loads,''
International Journal for Numerical and Analytical Methods in Geomechanics,
39, 1304-1330,, DOI: 10.1002/nag.2356.

106. B. Ren and S. Li [2014],
``Multiscale modeling and prediction of bonded joint failures by using an adhesive process zone model,''       Theoretical and Applied Fracture Mechanics, 72,, 76-88.

105. H. Fan and S. Li [2014],
``Modeling microtubule cytoskeleton via an active liquid crystal elastomer model,''
Computational Materials Science, 96, Part B, 559-566.

104. Q.-S. Tu, M. Lee, S. Zhang, and S. Li [2014],
``Molecular dynamics simulations of ions diffusion in carbon nanotubes embedded in cell,''
Computer Modeling in Engineering and Science98, 247-259.

103. Z.Chen, H. Cao, H. Zhu, J. Hu and S. Li [2014],
``A Simplified Structural Mechanics Model for Cable-truss Footbridges and Its Implications for Preliminary Design,''                                                                                                                                           Engineering Structure, 68, 121-133.
 

102. H. Minaki and S. Li [2014],
``Multiscale Modeling and Simulation of Dynamic Wetting​,''
Computer Methods in Applied Mechanics and Engineering, 273, 274-302.

101. S. Li, B. Ren, and H. Minaki [2014],
``Multiscale Crystal Defect Dynamics: A dual-lattice process zone model​ ''
Philosophical Magazine, 94, 1414-1450, DOI:10.1080/14786435.2014.887859.

100. S. Li and Q. Tong [2014],
``On higher-order quantum stress,''
Acta Mechanica, 225, 1235-1243.

99. X. Zeng and S. Li [2013],
``A biomechanical cell model by liquid crystal elastomers,''
ASCE Journal of Engineering Mechanics, 140 (4),
Article No. 04013003.
 

98. Z.Chen, H. Cao, K. Ye,  H. Zhu and S. Li [2013],
``An improved particle swarm optimization (IPSO)-based form-finding method
for suspension bridge installation analysis,''
ASCE Journal of Computing in Civil Engineering, DOI: 10.1061/(ASCE)CP.1943-5487.0000354.

97. B. Ren and S. Li [2013],
``A three-dimensional atomistic-based process zone finite element
simulation of fragmentation in polycrystalline solids,''
International Journal for Numerical Methods in Engineering, 93, 989-1014;

96. B. Ren and S. Li [2012],
``Modeling and simulation of large-scale ductile fracture in plates and shells,''
International Journal of Solids and Structures, 49, 2373-2393;

95. S. Li, X. Zeng, B. Ren, J. Qian, J. Zhang, and A.J. Jha [2012]
``An atomistic-based interphase zone model for crystalline solids,''
Computer Methods in Applied Mechanics and Engineering229-232, 87-109;

94. X. Zeng and S. Li [2012],
``A three dimensional soft matter cell model for mechanotransduction,''
Soft Matter, 8, 5765-5778;

93. L. Liu and S. Li [2012],
``A finite temperature multiscale interphase finite element method and simulations of fracture,''
ASME Journal of Engineering Materials and Technology, 134, No. 031014;

92. M. He and S. Li [2012]
``An embedded atom hyperelastic constitutive model and cohesive finite element method,''
Computational Mechanics, 49, 337-355;

91. X. Zeng and S. Li [2012]
``Application of a multiscale cohesive zone method to model composite materials,''
International Journal of Multiscale Computational Engineering, 10, 391-405;

90. B. Ren, J. Qian, X. Zeng, A. K. Jha, S. Xiao, and S. Li [2011],
``Recent Developments on thermo-mechanical simulations of ductile failure by meshfree method,''
CMES: Computer Modeling in Engineering & Sciences, 71, 253-277;

89. X. Zeng and S. Li [2011],
``Modeling and simulation of substrate elasticity sensing in stem cells,''
Computer Methods in Biomechanics and Biomedical Engineering, 14, 447-458;

88. B. Ren, S. Li, J. Qian, and X. Zeng [2011],
``Meshfree simulations of spall fracture,''
Computer Methods in Applied Mechanics and Engineering, 200, 797-811;

87. X. Zeng and S. Li [2011],
``Multiscale modeling and simulation of soft adhesion and contact of stem cells,''
Journal of the Mechanical Behavior of Biomedical Materials, 4, 180-189;

86. J. Qian and S. Li [2011]
``Application of multiscale cohesive zone model to simulate fracture in polycrystalline solids,''
ASME Journal of Engineering Materials and Technology, 133, No. 011010;

85. B. Ren and S. Li [2010]
``Meshfree simulations of plugging failures in high-speed impacts,''
Computers & Structures, 88, 909-923;

84. X. Zeng and S. Li [2010]
``A multiscale cohesive zone model and simulations of fracture,''
Computer Methods in Applied Mechanics and Engineering, 199, 547-556;

83. W. K. Liu, D. Qian, S. Gonella, S. Li, W. Chen, S. Chirputkar [2010],
``Multiscale methods for mechanical science of complex materials: Bridging from quantum to stochastic multiresolution continuum'',
International Journal for Numerical Methods in Engineering, 83, 1039–1080;

82. S. Li and N. Sheng [2010],
``On multiscale non-equilibrium molecular dynamics simulations'',
International Journal for Numerical Methods in Engineering, 83, 998-1038;

81. N. Sheng and S. Li [2009],
``A multiscale non-equilibrium molecular dynamics algorithm and its applications,''
International Journal of Applied Mechanics, 1, 405-420;    

80. C.-L. Lee and S. Li [2008],
``The size effect of thin films on the Peierls stress of edge dislocations,''
 Mathematics and Mechanics of Solids, 13, 316-335;

79. S. Li [2008],
``On variational symmetry of defect potentials and multiscale configurational force,''
Philosophical Magazine, 88, 1059-1084;

78. R. Sauer, G. Wang, and S. Li [2008],
``The composite Eshelby tensors and their applications to homogenization,''
 Acta Mechanica197,  63-96;

77. S. Li, N. Sheng, and X. Liu [2008],
``A non-equilibrium multiscale simulation paradigm,''
Chemical Physics Letters51, 293-300;

76. D. Qian, T. Eason, S. Li, and W.K. Liu [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;

75. R.A. Sauer and S. Li [2008],
``An atomic interaction-based continuum model for computational multiscale
contact mechanics,''
PAMM Proceedings in Applied Mathematics and Mechanics, 7, 4080029-4080030;

74. X. Liu, S. Li, and N. Sheng [2008],
``A cohesive finite element for quasi-continua,''
Computational Mechanics, 42, 543-553;

73. R. Sauer and S. Li [2008],
``An atomistically enriched continuum model for nanoscale contact mechanics and its application to contact scaling,''
Journal of Nanoscience and Nanotechnology, 8, 3757-3773;

 72. N. Sheng and S. Li [2008],
``A nonequilibrium multiscale simulation of shock wave propagation,''
Mechanics Research Communications, 35, 10-16;

71. S. Medyanik, W.-K. Liu, and S. Li [2007],
``On criteria for dynamic adiabatic shear band propagation,''
Journal of Mechanics and Physics of Solids, 55, 1439-1461;

70. S. Li, C. Linder, and J. W. Foulk III, [2007],
``On configurational compatibility and multiscale energy momentum tensors,''
 Journal of Mechanics and Physics of Solids, 55, 980-1000;

69. C.-L. Lee and S. Li [2007],
``A half-space Peierls-Nabarro model and the mobility of screw dislocation
in a thin film,''
Acta Materialia, 55, 2149-2157;

68. R. Sauer and S. Li [2007]
``A contact mechanics model for quasi-continua,''
International Journal for Numerical Methods in Engineering, 71, 931-962;

67. R. Sauer and S. Li [2007]
``An atomic interaction based continuum mechanics model for adhesive contact mechanics''
Finite Elements in Analysis and Design, 43, 384-396;

66. X. Liu and S. Li [2007],
``Nonequilibrium multiscale computational model,''
Journal of Chemical Physics126, article No. 124105;

65. G. Wang, S. Li, H.-N, Nguyen, and N. Sitar [2007]
``Effective elastic stiffness for periodic masonry structures via eigenstrain homogenization,''
ASCE Journal of Materials in Civil Engineering19, 269-277;

64. S. Li, R. Sauer, and G. Wang [2007]
``The Eshelby tensors in a finite spherical domain : I. Theoretical formulations,''
ASME Journal of Applied Mechanics, 74, 770-783;

63. S. Li, G. Wang, and R. Sauer [2007]
``The Eshelby tensors in a finite spherical domain :II. Applications in homogenization,''
ASME Journal of Applied Mechanics, 74,  784-797;

62. S. Li [2007],
``A Multiscale Griffith criterion,''
Philosophical Magazine Letters, 87, 945-954;

61. S. Li and A. Gupta [2006]
``On dual configurational forces,''
Journal of Elasticity, 84, 12-31;

60. X. Liu and S. Li [2006],
``A variational multiscale stabilized method for the Stokes flow problem,''
Finite Elements in Analysis and Design, 42, 580-591;

59. A. C. To, S, Li, and S. Glasser [2006]
``Propagation of a mode-III interfacial conductive crack along a conductive interface between two piezoelectric half spaces,''
Wave Motion, 43, 369-386;

58. S. Li, X. Liu, A. Agrawal, and A. C. To [2006],
``Perfectly matched multiscale simulations for discrete systems: Extension to multiple dimensions,''
Physical Review B, 74, No. 045418;

57. A. C. To, S. Li, and S. D. Glaser [2005],
``On scattering in dissimilar piezoelectric materials by an interfacial crack,''
Quarterly Journal of Mechanics and Applied Mathematics, 58, 309-331;

56. S. Li, A. C. To, and S. D. Glasser [2005]
``On the scattering in a piezoelectric medium by a crack,''
ASME Journal of Applied Mechanics, 72, 943-954;

55. A. C. To and S. Li [2005],
``Perfectly matched multiscale simulations,''
Physical Review B. 72, Article No. 035414;

54. G. Wang,  X. Liu, S. Li, and N. Sitar [2005],
``Smart element method II. Finite Eshelby formulation,''
International Journal for Numerical Methods in Engineering, 64, 1303-1333;

53. D. C. Simkins Jr. and S. Li [2005]
``Meshfree simulations of thermo-mechanical ductile fracture,''
Computational Mechanics, 38, 235-249;

52. S. Li, R. Sauer, and G. Wang [2005]
``Circular inclusion in a finite elastic domain. I. The Dirichelt-Eshelby problem,''
 Acta Mechanica, 179, 67-90;

51. G. Wang, S. Li, and R. Sauer [2005]
``Circular inclusion in a finite elastic domain. II. The Neumann-Eshelby problem,''
 Acta Mechanica, 179, 91-110;

50. S. Li, X. Liu, and A. Gupta, [2005]
``Smart element method I. Zienkiewicz-Zhu feedback,''
International Journal for Numerical Methods in Engineering, 62, 1264-1294;

49. S. Li, A. Gupta, and X. Markenscoff [2005],
``Conservation laws of linear elasticity in stress formulations,''
 Proceedings of Royal Society of London A,  461, 99-116;

48. S. Li and B. C. Simonsen [2005],
``Meshfree simulations of ductile crack propagation,''
International Journal of Computational Engineering Science, 6,  1-25;

47. S. Li [2004],
``On dual conservation laws in linear elasticity: stress function formalism,''
Nonlinear Dynamics, 36, 77-96;

46. B. C. Simonsen and S. Li [2004],
``Meshfree simulation of ductile fracture,''
International Journal of Numerical Methods in Engineering, 60, 1425-1450;

 45. S. Li and A. Gupta [2004]
``The Peierls stress of a screw dislocation in a piezoelectric medium,''
Applied Physics Letters, 85, 2211-2213;

44. S. Li, G. Wang, and E. Morgan, [2004]
``Effective elastic moduli of solids with cohesive microcracks,''
European Journal of Mechanics A,  23,  925-933;

43. W.K. Liu, W. Han, H. Lu, S. Li, and J. Cao [2004],
``Reproducing kernel element method Part I. Theoretical formulation,''
Computer Methods in Applied Mechanics and Engineering, 193, 933-951;

42. S. Li, H. Lu, W. Han, W. -K. Liu, and D. C. Simkins, Jr. [2004],
``Reproducing kernel element method Part II. Globally conforming $I^{m}/C^{n}$ hierarchies,''
Computer Methods in Applied Mechanics and Engineering, 193, 953-987;

41. H. Lu, S. Li, D. C. Simkins, Jr. W.-K. Liu and J. Cao [2004],
``Reproducing kernel element method Part III: Generalized enrichment and applications,''
Computer Methods in Applied Mechanics and Engineering,193, 989-1011;

40. D. C. Simkins, Jr., S. Li, H. Lu, and W.-K. Liu [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;

39. S. Li, A. Gupta, X. Liu, and M. Mahyari [2004],
``Variational eigenstrain multiscale finite element method,''
Computer Methods in Applied Mechanics and Engineering193, 1803-1824;

38. S. Li and G. Wang [2004],
``On damage theory of a cohesive medium,''
International Journal of Engineering Science, 42, 861-885;

37. S. Li [2004],
``On dual conservation laws in planar elasticity,''
International Journal of Engineering Science, 42, 1215-1239;

36. G. Wang and S. Li [2003],
``A penny-shaped cohesive crack model for material damage,''
Theoretical and Applied Fracture Mechanics, 42, 303-316;

35. C. O'Sullivan, J. D. Bray, and S. Li [2003],
``A new approach for calculating strain for particulate media,''
International Journal for Numerical and Analytical Methods in Geomechanics, 27, 859-877;

34. S. Li and E. F. Morgan [2003],
``Micromechanics modeling of plastic yielding in a solid containing mode III cohesive cracks,''
International Journal of Fracture, 119, L105-L112;

33. D. C. Simkins, Jr. and S. Li [2003],
``Effective bending stiffness for plates with micro-cracks,''
Archive of Applied Mechanics, 73, 282-309;

32. S. Li [2003],
``On global energy release rate of a permeable crack in a piezoelectric crack,''
ASME Journal of Applied Mechanics, 70, 246-252;

31. S. Li [2003],
``On saturation-strip model of a permeable crack in a piezoelectric ceramic,''
Acta Mechanica, 165, 47-71;

30. S. Li and W.-K. Liu [2002],
``Meshfree particle methods and their applications,''
Applied Mechanics Review, 53, 1-34;

29. S. Li and D. C. Simkins Jr. [2002],
``Conserving Galerkin weak formulations for computational fracture mechanics,''
Communications in Numerical Methods in Engineering, 18, 835-850;

28. S. Li, W.-K. Liu, A. J. Rosakis, T. Belytschko, and W. Hao [2002],
``Meshfree Galerkin simulations of dynamic shear band propagation and failure mode transition,''
International Journal of Solids and Structures, 39, 1213-1240;

27. S. Li, D. Qian, W.-K. Liu and T. Belytschko [2001],
``A meshfree contact-detection algorithm'',
Computer Methods in Applied Mechanics and Engineering, 190, 3271-3292;

26. S. Li [2001],
``On diffraction in a piezoelectric medium by half-plane: The Sommerfeld problem'',
ZAMP (Zeitschrift fur angewandte Mathematik und Physik), 52, 101-134;

25. S. Li, W.-K. Liu, D. Qian, P. Guduru, and A. J. Rosakis [2001],
``Dynamic shear band propagation and micro-structure of adiabatic shear band,''
Computer Methods in Applied Mechanics and Engineering, 191, 73-92;

24. N. Song, D. Qian, J. Cao, W.-K. Liu, and S. Li [2001],
``Effective model for prediction of springback in flanging,''
ASME Journal of Engineering Materials and Technology, 23, 456-461;

23. S. Li [2000],
``Transient wave propagation in a transversely isotropic piezoelectric half space,''
ZAMP (Zeitschrift fur angewandte Mathematik und Physik), 51, 236-266;

22. S. Li,  W. Hao and  W.-K. Liu [2000],
``Numerical simulations of large deformation of thin shell structures using meshfree methods,''
Computational Mechanics, 25, 2/3 ~102-116;

21. K. T. Danielson, R. A. Uras, M. D. Adley, and S. Li [2000],
``Large-scale application of some modern CSM methodologies by parallel computation,''
Advances in Engineering Software, 31, 501-509;

20. S. Li [2000],
``The micromechanics of classical plates: A congruous estimate of overall elastic stiffness,''
International Journal of Solids and Structures, 37, 5599-5628;

19. S. Li [2000],
``On micromechanics of Reissner-Mindlin plates,''
Acta Mechanica, 142, 47-99;

18. S. Li and W.-K. Liu [2000],
``Numerical simulations of strain localization in inelastic solids using mesh-free methods,''
International Journal for Numerical Methods in Engineering, 48, 1285-1309;

17. K. T. Danielson, S. Hao, W.-K. Liu, A. Uras, and S. Li [200],
``Parallel computation of meshless methods for explicit dynamic analysis,''
International Journal for Numerical Methods in Engineering, 47, 1323-1341;

16. W.K. Liu, S. Hao, T. Belytschko, S. Li, and C.T. Chang [2000],
``Multiscale methods,''
International Journal for Numerical Methods in Engineering, 47, 1343-1361;

15. S. Li, W. Hao, and W.-K. Liu [2000],
``Meshfree simulations of shear banding in large deformation'',
International Journal of Solids and Structures, 37, 7185-7206;

14. S. Li and W. K. Liu [1999],
``Reproducing kernel hierarchical partition of unity Part I: Formulations,''
International Journal for Numerical Methods in Engineering, 45, 251-288;

13. S. Li and W. K. Liu [1999],
``Reproducing kernel hierarchical partition of unity Part II: Applications,''
International Journal for Numerical Methods in Engineering, 45, 289-300;

12. W.-K. Liu and S. Hao and T. Belytschko and S. Li and C. T. Chang [1999],
``Multiple scale meshfree methods for damage fracture and localization,"
Computational Materials Science, 16, 197-205;

11. S. Li and W. K. Liu [1998],
``Synchronized reproducing kernel interpolant via multiple wavelet expansion,''
Computational Mechanics, 21, 28-47;

10. W.-K. Liu, S. Li, and T. Belytschko [1997],
``Moving least square reproducing kernel method. (I) Methodology and convergence,''
Computer Methods in Applied Mechanics and Engineering, 143, 113-154;

9. S. Li and W. Shyy [1997],
``On invariant integrals in the Marguerre-von Karman shallow shell,''
International Journal of Solids and Structures, 34, 2927-2944;

8. S. Li and P. A. Mataga [1996],
``Dynamic crack propagation in piezoelectric materials Part I: Electrode solution,''
Journal of the Mechanics and Physics of Solids, 44, 1799-1830;

7. S. Li and P. A. Mataga [1996]
``Dynamic crack propagation in piezoelectric materials Part II: Vacuum solution,''
Journal of the Mechanics and Physics of Solids, 44, 1831-1866;

6. S. Li [1996],
``The electromagneto-acoustic surface wave in a piezoelectric medium : The Bleustein-Gulyaev mode,''
Journal of Applied Physics80, 5264-5269;

5. S. Li and W.-K. Liu [1996],
``Moving least square reproducing kernel method (II) Fourier analysis,''
Computer Methods in Applied Mechanics and Engineering, 139,159-193;

4. L. Vu-Quoc and  S. Li [1995]
``Dynamics of sliding geometrically-exact beams: Large angle maneuvers and nonlinear parametric resonance,''
Computer Methods in Applied Mechanics and Engineering, 120, 65-118;

3. S. Li  and  L. Vu-Quoc [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;

2. W.-K. Liu, S. Jun, S. Li, J. Adee, and T. Belytschko,[1995]
``Reproducing kernel particle methods for structural dynamics,''
International Journal of Numerical Methods for Engineering, 38, 1655-1679;

1. L. Vu-Quoc  and  S. Li [1993]
``Invariant-conserving finite difference algorithms for the nonlinear Klein-Gordon equation,''
Computer Methods in Applied Mechanics and Engineering, 107, 341-391;

 

2. Monographs and Books

S. Li and W.-K. Liu, [2004]
Meshfree Particle Methods,
Springer-Verlag. ISBN: 978-3-540-22256-9;

S. Li and G. Wang, [2008]
Introduction to Micromechanics and Nanomechanics,
World Scientific Pub. ISBN 978-981-281-413-5;

S. Li and B. Sun  (editor) [2011],
Advances in Cell Mechanics,
HEP-Springer, ISBN 978-3-642-17589-3.

S. Li and B. Sun (editor) [2011],
Advances in Soft Matter Mechanics,
HEP-Springer, ISBN 978-3-642-19372-9.

S. Li and D. Qian (editor) [2013],
Multiscale Simulations and Mechanics of Biological Materials (Hardcover),
John Wiley & Sons Inc. ISBN 9781118350799.

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Handbook of Micromechanics and Nanomechanics (Hardcover),
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ISBN-10: 981441123X | ISBN-13: 978-9814411233