Shaofan Li's Group

Monographs and Book chapters:

 

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;

 

 

3.      W.-K. Liu, H. C. Park, D. Qian, E.G. Karpov, H. Kadowaki, G.J. Wagner and S. Li, [2005] "BridgingScale Mechanics and Materials,  Finite Element Methods: 1970's and beyond ,  L.P. Franca (Ed.) ,CIMNE, Barcelona, Spain 2005;

 

4.     Xiaowei Zeng and Shaofan Li [2010] ,  Recent Developments on Concurrent Multiscale Simulations, in Advances in Computational Mechanics, Edited by Q. Qin and B. Sun, Nova Science Publishers, New York (ISBN:978-1-60876-901-8).

 

 

 

 

 

Publications in Peer Reviewed Archive Journals:

 

 

90. Li, S., Ren, B. and Qian, J. [2010], On mechanics of  a multiscale cohesive zone model, Submitted to International Journal for Numerical Methods in Engineering. [pdf];

 

89. Ren, B., Li, S., Qian, J. and Zeng, X. [2010], Meshfree simulation of spall fracture, Submitted to Computer Methods in Applied Mechanics and Engineering;[pdf];

 

88. Zeng, X. and Li, S. [2010], Multiscale modeling and simulation of soft adhesion and contact of stem cells, Journal of the Mechanical Behavior of Biomedical Materials. Online [pdf];

 

87. Ren, B. and Li, S. [2010], Meshfree simulation of plugging failure in high-speed impacts, Computers & Structures, 88, 909-923. [pdf];

 

86. Qian, J. and Li, S. [2010], Application of multiscale cohesive zone model to simulate fracture in polycrystalline solids, Accepted for publication in ASME Journal of Engineering Materials and Technology. [pdf]

 

85. Zeng, X. and Li, S. [2010], Application of a multiscale cohesive zone method to model composite materials, Submitted to International Journal of Multiscale Computational Engineering. [pdf]

 

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

 

83. Liu, W.K., Qian, S., Gonella, S., Li, S., Chen, W., Chirputkar,S.  [2010], Multiscale methods for mechanical science of complex materials: Bridging from quantum to stochastic multiresolution continuum, International Journal for Numerical Methods in Engineering DOI: 10.1002/nme.2915. [pdf];

 

82. Li, S. and Sheng, N. [2010], A multi-scale non-equilibrium molecular dynamics simulation, International Journal for Numerical Methods in Engineering, In Press:1-41. [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, No. 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. 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]

 

60. Li, S. and Gupta, A. [2006],On dual configuration forces, Journal of Elasticity, 84, 13-31. [pdf]

 

59. Simkins, D.C. Jr. and Li, S. [2006], Meshfree simulations of thermal-mechanical ductile fracture, 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, ASME 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. 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]

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., Liu, X., and Gupta, A. [2005], Smart element method I. Zienkiewicz-Zhu feedback,
International Journal for Numerical Methods in Engineering, 62, 1264-1294. [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. Simonsen, B. C. and Li, S. [2004], Meshfree simulation of ductile fracture, International Journal of Numerical Methods in Engineering, 60, 1425-1450. [pdf]

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

44. 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]

43. 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]

42. 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]

41. 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]

40. 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]

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

 

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

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

 

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

31. 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]

30. 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]

 

29. 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]

28. Li, S. and Liu, W.K. [2002], Meshfree and particle methods and their applications,
Applied Mechanics Review, 54, 1-34. [pdf]

27. 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]

 

26. 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]

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], Numerical simulations of large deformation of thin shell structures using meshfree methods,
Computational Mechanics, 25, 102-116. [pdf]

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

20. 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]

 

19. 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]

 

18. 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]

 

17. 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]

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], On the micromechanics theory of Reissner-Mindlin plates,
Acta Mechanica, 142, 47-99. [pdf]

14. 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]

 

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. 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]

9. 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]

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]