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

3. L.P. Franca (Ed.) [2003] , "Finite Element Methods: 1970's and beyond ", CIMNE, Barcelona, Spain 2003

4. Xiaowei Zeng and Shaofan Li [2009] , "Recent Developments on Concurrent Multiscale Simulations", Accepted for publication in Advances in Computational Mechanics, Edited by Q. Qin and B. Sun, NOVA Publishers, Inc. New York.

Publications in Peer Reviewed Archive Journals:

83. Zeng, X. and Li, S. [2009], A Multiscale Cohesive Zone Model and Simulations of Fractures, Accepted for publication in Computer Methods in Applied Mechanics and Engineering,[pdf]

82. Sheng, N. and Li, S. [2008], A multi-scale non-equilibrium molecular dynamics simulation, International Journal for Numerical Methods in Engineering, 00:1-47. [pdf]

81. 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]

80. Li, S. [2008], On variational symmetry of defect potentials and multiscale configuration force, Philosophical Magazine, 88, 1059-1084. [pdf]

79.Sauer, R., Wang, G.,and Li, S. [2008], The composite Eshelby tensors and their applications to homogenization,Acta Mechanica, 197, 63-97. [pdf]

78. Li, S. and Sheng, N. [2007], A non-equilibrium multiscale paradigm, Chemical Physics Letters, 451, 293-300. [pdf]

77. 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]

76. Sheng, N. and Li, S. [2007], A nonequilibrium multiscale simulation of shock wave propagation, Mechanics Research Communications, 35, 10-16. [pdf]

75. 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]

74. Li, S. [2007], A Multiscale Griffith criterion,Philosophical Magazine Letters, 87,?945-965. [pdf]

73. Liu, X. Li, S. and Sheng, N. [2008], A cohesive finite element for quasi-continua, Computational Mechanics, 42, 543-555. [pdf]

72.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]

71.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]

70. 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]

69. Liu, X. and Li, S. [2007], Non-equilibrium multiscale computational model, Journal of Chemical Physics, 126, 124105. [pdf]

68.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]

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

66.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]

65.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]

64. 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]

63.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]

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. 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]

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,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]