Edit Profile Li, Shaofan Compute Distance To: Compute Author ID: li.shaofan Published as: Li, S.; Li, S. F.; Li, Sh.; Li, Shao F.; Li, Shaofan Documents Indexed: 125 Publications since 1992, including 3 Books all top 5 Co-Authors 5 single-authored 24 Liu, Wing Kam 7 Simkins, Daniel Craig jun. 6 Fan, Houfu 5 Belytschko, Ted Bohdan 5 Lu, Hongsheng 5 Qian, Dong 5 Ren, Bo 4 Gupta, Anurag P. 4 Liu, Xiaohu 3 Glaser, Steven D. 3 Hao, Su 3 Hao, Wei 3 Sauer, Roger A. 3 Sheng, Ni 3 To, Albert C. 3 Vu-Quoc, Loc 3 Wang, Gang 3 Zeng, Xiaowei 3 Zhang, Aman 2 Bergel, Guy L. 2 Cao, Jian 2 Danielson, Kent T. 2 Han, Weimin 2 Kan, Xingyu 2 Lai, Xin 2 Lyu, Dandan 2 Mataga, Peter A. 2 Qian, Jing 2 Rosakis, Ares J. 2 Tong, Qi 2 Yan, Jiale 1 Adee, Jonathan 1 Adley, M. D. 1 Aziz Uras, R. 1 Bessa, Miguel A. 1 Bray, Jonathan D. 1 Chang, Chin Tang 1 Chen, Guorong 1 Chen, Qijun 1 Chen, Wei 1 Chirputkar, Shardool U. 1 Dai, Zili 1 Eason, Thomas 1 Fan, Jincheng 1 Foulk, James W. III 1 Ge, Xiurun 1 Gonella, Stefano 1 Guduru, Pradeep R. 1 He, Minghua 1 Jha, Akhilesh Kumar 1 Jun, Sukky 1 Li, Tiange 1 Linder, Christian 1 Liu, Renwei 1 Mahyari, Morteza 1 Mao, Xiaochen 1 Markenscoff, Xanthippi 1 Medyanik, Sergey N. 1 Minaki, Hiroyuki 1 Ming, Furen 1 Morgan, Elise 1 O’Sullivan, Catherine 1 Peng, Yu-Xiang 1 Regueiro, Richard A. 1 Ren, Shaofei 1 Shi, Chunxiang 1 Shyy, Wei 1 Simonsen, Bo Cerup 1 Sitar, Nicholas 1 Sun, Bohua 1 Sun, Jianqiao 1 Sun, Pengnan 1 Tu, Qingsong 1 Uras, Rasim Aziz 1 Urata, Shingo 1 Wang, Chao 1 Wang, Chao 1 Wang, Gang 1 Wang, Gang 1 Wang, Gao 1 Xie, Yuxi 1 Zeng, Danielle 1 Zhang, Jinshu 1 Zhang, Lucy T. 1 Zhang, Luwen 1 Zhu, Xinhai all top 5 Serials 21 Computer Methods in Applied Mechanics and Engineering 14 International Journal for Numerical Methods in Engineering 9 Computational Mechanics 6 Journal of the Mechanics and Physics of Solids 4 International Journal of Solids and Structures 3 Acta Mechanica 3 Journal of Computational Physics 2 International Journal of Engineering Science 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Applied Mechanics 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Wave Motion 1 Mechanics Research Communications 1 SIAM Journal on Numerical Analysis 1 Journal of Elasticity 1 Archive of Applied Mechanics 1 Advances in Engineering Software 1 Communications in Numerical Methods in Engineering 1 Nonlinear Dynamics 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. A. Solids 1 Journal of Multiscale Modeling 1 Proceedings A. Royal Society of London all top 5 Fields 71 Mechanics of deformable solids (74-XX) 13 Numerical analysis (65-XX) 11 Fluid mechanics (76-XX) 6 Partial differential equations (35-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 1,886 times in 1,235 Documents Cited by ▼ Year ▼ Reproducing kernel particle methods for structural dynamics. Zbl 0840.73078Liu, Wing Kam; Jun, Sukky; Li, Shaofan; Adee, Jonathan; Belytschko, Ted 262 1995 Moving least-square reproducing kernel methods. I: Methodology and convergence. Zbl 0883.65088Liu, Wing Kam; Li, Shaofan; Belytschko, Ted 203 1997 Meshfree particle methods. Zbl 1073.65002Li, Shaofan; Liu, Wing Kam 155 2004 Finite difference calculus invariant structure of a class of algorithms for the nonlinear Klein-Gordon equation. Zbl 0847.65062Li, S.; Vu-Quoc, L. 110 1995 Reproducing kernel element method. I: Theoretical formulation. Zbl 1060.74670Liu, Wing Kam; Han, Weimin; Lu, Hongsheng; Li, Shaofan; Cao, Jian 84 2004 Numerical simulations of large deformation of thin shell structures using meshfree methods. Zbl 0978.74087Li, S.; Hao, W.; Liu, W. K. 56 2000 Moving least-square reproducing kernel method. II: Fourier analysis. Zbl 0883.65089Li, Shaofan; Liu, Wing Kam 56 1996 Reproducing kernel hierarchical partition of unity. I: Formulation and theory. II: Applications. Zbl 0945.74079Li, Shaofan; Liu, Wing Kam 52 1999 Reproducing kernel element method. II: Globally conforming \(I^m/C^n\) hierarchies. Zbl 1093.74062Li, Shaofan; Lu, Hongsheng; Han, Weimin; Liu, Wing Kam; Simkins, Daniel C. 47 2004 Symmetric weak-form integral equation method for three-dimensional fracture analysis. Zbl 0906.73074Li, S.; Mear, M. E.; Xiao, L. 43 1998 A numerical method for singularly perturbed turning point problems with an interior layer. Zbl 1291.65231Geng, F. Z.; Qian, S. P.; Li, S. 42 2014 Introduction to micromechanics and nanomechanics. Zbl 1169.74001Li, Shaofan; Wang, Gang 41 2008 Finite-time stability of cascaded time-varying systems. Zbl 1117.93004Li, S.; Tian, Y.-P. 40 2007 Synchronized reproducing kernel interpolant via multiple wavelet expansion. Zbl 0912.76057Li, S.; Liu, W. K. 38 1998 Dynamic crack propagation in piezoelectric materials. I: Electrode solution. Zbl 1054.74715Li, Shaofan; Mataga, Peter A. 35 1996 Reproducing kernel element method. IV: Globally compatible \(C^n\) (\(n\geqslant 1\)) triangular hierarchy. Zbl 1093.74064Simkins, Daniel C. jun.; Li, Shaofan; Lu, Hongsheng; Liu, Wing Kam 33 2004 Reproducing kernel element method. III: Generalized enrichment and applications. Zbl 1060.74671Lu, Hongsheng; Li, Shaofan; Simkins, Daniel C. jun.; Liu, Wing Kam; Cao, Jian 32 2004 Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition. Zbl 1090.74698Li, Shaofan; Liu, Wing Kam; Rosakis, Ares J.; Belytschko, Ted; Hao, Wei 30 2002 Mesh-free simulations of shear banding in large deformation. Zbl 0995.74082Li, Shaofan; Hao, Wei; Liu, Wing Kam 28 2000 Numerical simulations of strain localization in inelastic solids using mesh-free methods. Zbl 1052.74618Li, Shaofan; Liu, Wing Kam 28 2000 Invariant-conserving finite difference algorithms for the nonlinear Klein-Gordon equation. Zbl 0790.65101Vu-Quoc, Loc; Li, Shaofan 25 1993 Dynamic crack propagation in piezoelectric materials. II: Vacuum solution. Zbl 1055.74556Li, Shaofan; Mataga, Peter A. 24 1996 A circular inclusion in a finite domain. I: The Dirichlet-Eshelby problem. Zbl 1100.74009Li, S.; Sauer, R.; Wang, G. 19 2005 A contact mechanics model for quasi-continua. Zbl 1194.74226Sauer, Roger A.; Li, Shaofan 18 2007 On dual configurational forces. Zbl 1103.74013Li, Shaofan; Gupta, Anurag 17 2006 Numerical manifold method based on the method of weighted residuals. Zbl 1109.74373Li, S.; Cheng, Y.; Wu, Y.-F. 15 2005 Multiscale methods for mechanical science of complex materials: bridging from quantum to stochastic multiresolution continuum. Zbl 1197.74007Liu, Wing Kam; Qian, Dong; Gonella, Stefano; Li, Shaofan; Chen, Wei; Chirputkar, Shardool 14 2010 Dynamic shear band propagation and micro-structure of adiabatic shear band. Zbl 1065.74061Li, Shaofan; Liu, Wing-Kam; Qian, Dong; Guduru, Pradeep R.; Rosakis, Ares J. 13 2001 Multi-scale methods. Zbl 0976.74080Liu, Wing Kam; Hao, Su; Belytschko, Ted; Li, Shaofan; Chang, Chin Tang 13 2000 On criteria for dynamic adiabatic shear band propagation. Zbl 1238.74024Medyanik, Sergey N.; Liu, Wing Kam; Li, Shaofan 12 2007 A meshfree contact-detection algorithm. Zbl 0998.74081Li, Shaofan; Qian, Dong; Liu, Wing Kam; Belytschko, Ted 12 2001 On saturation-strip model of a permeable crack in a piezoelectric ceramic. Zbl 1064.74155Li, S. 11 2003 Parallel computation of meshless methods for explicit dynamic analysis. Zbl 0981.74078Danielson, Kent T.; Hao, Su; Liu, Wing Kam; Aziz Uras, R.; Li, Shaofan 11 2000 Dynamics of sliding geometrically-exact beams: Large angle maneuver and parametric resonance. Zbl 0852.73030Vu-Quoc, L.; Li, S. 11 1995 A multiscale cohesive zone model and simulations of fractures. Zbl 1227.74054Zeng, Xiaowei; Li, Shaofan 10 2010 Conservation laws of linear elasticity in stress formulations. Zbl 1145.74315Li, Shaofan; Gupta, Anurag; Markenscoff, Xanthippi 10 2005 An updated Lagrangian particle hydrodynamics (ULPH) for Newtonian fluids. Zbl 1380.76127Tu, Qingsong; Li, Shaofan 9 2017 A peridynamics-SPH coupling approach to simulate soil fragmentation induced by shock waves. Zbl 1398.74395Ren, Bo; Fan, Houfu; Bergel, Guy L.; Regueiro, Richard A.; Lai, Xin; Li, Shaofan 9 2015 An atomistic-based interphase zone model for crystalline solids. Zbl 1253.74009Li, Shaofan; Zeng, Xiaowei; Ren, Bo; Qian, Jing; Zhang, Jinshu; Jha, Akhilesh K. 8 2012 Meshfree simulation of failure modes in thin cylinders subjected to combined loads of internal pressure and localized heat. Zbl 1195.74297Qian, Dong; Eason, Thomas; Li, Shaofan; Liu, Wing Kam 8 2008 Meshfree simulations of thermo-mechanical ductile fracture. Zbl 1162.74052Simkins, D. C.; Li, S. 8 2006 The effects of shear on delamination in layered materials. Zbl 1045.74595Li, S.; Wang, J.; Thouless, M. D. 8 2004 A two-stage hybrid flowshop with uniform machines and setup times. Zbl 1185.90078Huang, W.; Li, S. 8 1998 A cohesive finite element for quasi-continua. Zbl 1421.74097Liu, Xiaohu; Li, Shaofan; Sheng, Ni 7 2008 Solution to line loading of a semi-infinite solid in gradient elasticity. Zbl 1071.74006Li, S.; Miskioglu, I.; Altan, B. S. 7 2004 Mesh-free simulation of ductile fracture. Zbl 1060.74673Simonsen, Bo Cerup; Li, Shaofan 7 2004 Error of partitioned Runge-Kutta methods for multiple stiff singular perturbation problems. Zbl 0956.65057Xiao, A.; Li, S. 7 2000 The total and updated Lagrangian formulations of state-based peridynamics. Zbl 1398.74303Bergel, Guy L.; Li, Shaofan 6 2016 Multiscale modeling and simulation of dynamic wetting. Zbl 1296.76085Minaki, Hiroyuki; Li, Shaofan 6 2014 The composite Eshelby tensors and their applications to homogenization. Zbl 1144.74032Sauer, R. A.; Wang, G.; Li, S. 6 2008 A new approach for calculating strain for particulate media. Zbl 1085.74502O’Sullivan, Catherine; Bray, Jonathan D.; Li, Shaofan 6 2003 Lie-Poisson integration for rigid body dynamics. Zbl 0834.70006Li, S.; Qin, Mengzhao 6 1995 Kronrod extension of Turán formula. Zbl 0724.65015Li, S. 6 1994 An embedded atom hyperelastic constitutive model and multiscale cohesive finite element method. Zbl 1355.74072He, Minghua; Li, Shaofan 5 2012 The micromechanic theory of classical plates: A congruous estimate of overall elastic stiffness. Zbl 0976.74041Li, Shaofan 5 2000 A peridynamics-SPH modeling and simulation of blast fragmentation of soil under buried explosive loads. Zbl 1439.74187Fan, Houfu; Li, Shaofan 4 2017 On multiscale moving contact line theory. Zbl 1371.76154Li, Shaofan; Fan, Houfu 4 2015 A three-dimensional atomistic-based process zone model simulation of fragmentation in polycrystalline solids. Zbl 1352.74081Ren, Bo; Li, Shaofan 4 2013 On multiscale non-equilibrium molecular dynamics simulations. Zbl 1197.82023Li, Shaofan; Sheng, Ni 4 2010 Approximation of the solution and its derivative for the singularly perturbed Black-Scholes equation with nonsmooth initial data. Zbl 1210.91134Li, S.; Shishkin, G. I.; Shishkina, L. P. 4 2007 Propagation of a mode-III interfacial conductive crack along a conductive interface between two piezoelectric materials. Zbl 1231.74386To, Albert C.; Li, Shaofan; Glaser, Steven D. 4 2006 Estimation of coefficients in a hyperbolic equation with impulsive inputs. Zbl 1111.35123Li, S. 4 2006 On global energy release rate of a permeable crack in a piezoelectric ceramic. Zbl 1110.74554Li, S. 4 2003 Conserving Galerkin weak formulations for computational fracture mechanics. Zbl 1205.74161Li, Shaofan; Simkins, Daniel C. jun. 4 2002 Large-scale application of some modern CSM methodologies by parallel computation. Zbl 1003.68539Danielson, K. T.; Uras, R. A.; Adley, M. D.; Li, S. 4 2000 Transient wave propagation in a transversely isotropic piezoelectric half-space. Zbl 1005.74032Li, Shaofan 4 2000 On the micromechanics theory of Reissner-Mindlin plates. Zbl 0993.74034Li, S. 4 2000 Determination of domains of attraction based on a sequence of maxima. Zbl 0884.62051Wang, J. Z.; Cooke, P.; Li, S. 4 1996 Dynamics of delay-coupled Fitzhugh-Nagumo neural rings. Zbl 1390.34142Mao, Xiaochen; Sun, Jianqiao; Li, Shaofan 3 2018 Meshfree simulations of spall fracture. Zbl 1225.74125Ren, Bo; Li, Shaofan; Qian, Jing; Zeng, Xiaowei 3 2011 On configurational compatibility and multiscale energy momentum tensors. Zbl 1172.74004Li, Shaofan; Linder, Christian; Foulk, James W. III 3 2007 On scattering in a piezoelectric medium by a conducting crack. Zbl 1111.74511Li, Shaofan; To, Albert C.; Glaser, Steven D. 3 2005 On scattering in dissimilar piezoelectric materials by a semi-infinite interfacial crack. Zbl 1072.74041To, Albert C.; Li, Shaofan; Glaser, Steven D. 3 2005 A polychromatic sets approach to the conceptual design of machine tools. Zbl 1068.90076Xu, L.; Li, Z.; Li, S.; Tang, F. 3 2005 Reproducing kernel element interpolation: globally conforming \(I^m/C^n/P^k\) hierarchies. Zbl 1064.65009Li, Shaofan; Simkins, Daniel C.; Lu, Hongsheng; Liu, Wing Kam 3 2005 On dual conservation laws in linear elasticity: stress function formalism. Zbl 1076.74004Li, Shaofan 3 2004 Essential norm of weighted composition operators from analytic Besov spaces into Zygmund type spaces. Zbl 1426.30041Hu, Q.; Li, S.; Zhang, Y. 2 2019 A beam formulation based on RKPM for the dynamic analysis of stiffened shell structures. Zbl 07024097Peng, Y. X.; Zhang, A. M.; Li, S. F.; Ming, F. R. 2 2019 Prediction of mechanical gear mesh efficiency of hypoid gear pairs. Zbl 1203.70014Kolivand, M.; Li, S.; Kahraman, A. 2 2010 On damage theory of a cohesive medium. Zbl 1211.74189Li, Shaofan; Wang, Gang 2 2004 Effective elastic moduli of two-dimensional solids with distributed cohesive microcracks. Zbl 1063.74083Li, Shaofan; Wang, Gang; Morgan, Elise 2 2004 A concurrent multiscale study of dynamic fracture. Zbl 1442.74022Tong, Qi; Li, Shaofan 1 2020 An adaptive SVD-Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method. Zbl 1441.74187Li, S.; Trevelyan, J.; Wu, Z.; Lian, H.; Wang, D.; Zhang, W. 1 2019 A stable node-based smoothed finite element method for metal forming analysis. Zbl 07053715Yang, H.; Cui, X. Y.; Li, S.; Bie, Y. H. 1 2019 Extreme equitable block colorings of \(C_4\)-decompositions of \(K_v-F\). Zbl 1404.05055Li, S.; Matson, E. B.; Rodger, C. A. 1 2018 An atomistic-to-continuum molecular dynamics: theory, algorithm, and applications. Zbl 1436.82027Li, Shaofan; Urata, Shingo 1 2016 Simulation on the interaction between multiple bubbles and free surface with viscous effects. Zbl 1403.76089Li, S.; Ni, Bao-yu 1 2016 A three-dimensional surface stress tensor formulation for simulation of adhesive contact in finite deformation. Zbl 1352.74201Fan, Houfu; Li, Shaofan 1 2016 An adhesive contact mechanics formulation based on atomistically induced surface traction. Zbl 1349.74274Fan, Houfu; Ren, Bo; Li, Shaofan 1 2015 Particle method modeling of nonlocal multiresolution continua. Zbl 1342.76097Dai, Zili; Bessa, Miguel A.; Li, Shaofan; Liu, Wing Kam 1 2015 Construct the stable vendor managed inventory partnership through a profit-sharing approach. Zbl 1317.90027Li, S.; Yu, Z.; Dong, M. 1 2015 A non-equilibrium multiscale simulation of shock wave propagation. Zbl 1258.74120Sheng, Ni; Li, Shaofan 1 2008 Smart element method. II: An element based on the finite Eshelby tensor. Zbl 1113.74081Wang, Gang; Liu, Xiaohu; Li, Shaofan; Sitar, Nicholas 1 2005 Variational eigenstrain multiscale finite element method. Zbl 1134.74409Li, Shaofan; Gupta, Anurag; Liu, Xiaohu; Mahyari, Morteza 1 2004 Survey of multi-scale meshfree particle methods. (With color plates 10-12, p. 465-468). Zbl 1090.76570Zhang, Lucy T.; Liu, Wing K.; Li, Shao F.; Qian, Dong; Hao, Su 1 2002 On diffraction in a piezoelectric medium by a half-plane: The Sommerfeld problem. Zbl 1031.74034Li, Shaofan 1 2001 Estimation for type II domain of attraction based on the \(W\) statistic. Zbl 0962.62043Hasofer, A. M.; Li, S. 1 1999 Tool condition monitoring in machining by fuzzy neural networks. Zbl 0875.93387Li, S.; Elbestawi, M. A. 1 1996 \(h\)- and \(p\)-adaptive boundary element methods. Zbl 0770.65076Ye, T. Q.; Zhang, Daming; Li, S.; Cheng, J. L. 1 1992 A concurrent multiscale study of dynamic fracture. Zbl 1442.74022Tong, Qi; Li, Shaofan 1 2020 Essential norm of weighted composition operators from analytic Besov spaces into Zygmund type spaces. Zbl 1426.30041Hu, Q.; Li, S.; Zhang, Y. 2 2019 A beam formulation based on RKPM for the dynamic analysis of stiffened shell structures. Zbl 07024097Peng, Y. X.; Zhang, A. M.; Li, S. F.; Ming, F. R. 2 2019 An adaptive SVD-Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method. Zbl 1441.74187Li, S.; Trevelyan, J.; Wu, Z.; Lian, H.; Wang, D.; Zhang, W. 1 2019 A stable node-based smoothed finite element method for metal forming analysis. Zbl 07053715Yang, H.; Cui, X. Y.; Li, S.; Bie, Y. H. 1 2019 Dynamics of delay-coupled Fitzhugh-Nagumo neural rings. Zbl 1390.34142Mao, Xiaochen; Sun, Jianqiao; Li, Shaofan 3 2018 Extreme equitable block colorings of \(C_4\)-decompositions of \(K_v-F\). Zbl 1404.05055Li, S.; Matson, E. B.; Rodger, C. A. 1 2018 An updated Lagrangian particle hydrodynamics (ULPH) for Newtonian fluids. Zbl 1380.76127Tu, Qingsong; Li, Shaofan 9 2017 A peridynamics-SPH modeling and simulation of blast fragmentation of soil under buried explosive loads. Zbl 1439.74187Fan, Houfu; Li, Shaofan 4 2017 The total and updated Lagrangian formulations of state-based peridynamics. Zbl 1398.74303Bergel, Guy L.; Li, Shaofan 6 2016 An atomistic-to-continuum molecular dynamics: theory, algorithm, and applications. Zbl 1436.82027Li, Shaofan; Urata, Shingo 1 2016 Simulation on the interaction between multiple bubbles and free surface with viscous effects. Zbl 1403.76089Li, S.; Ni, Bao-yu 1 2016 A three-dimensional surface stress tensor formulation for simulation of adhesive contact in finite deformation. Zbl 1352.74201Fan, Houfu; Li, Shaofan 1 2016 A peridynamics-SPH coupling approach to simulate soil fragmentation induced by shock waves. Zbl 1398.74395Ren, Bo; Fan, Houfu; Bergel, Guy L.; Regueiro, Richard A.; Lai, Xin; Li, Shaofan 9 2015 On multiscale moving contact line theory. Zbl 1371.76154Li, Shaofan; Fan, Houfu 4 2015 An adhesive contact mechanics formulation based on atomistically induced surface traction. Zbl 1349.74274Fan, Houfu; Ren, Bo; Li, Shaofan 1 2015 Particle method modeling of nonlocal multiresolution continua. Zbl 1342.76097Dai, Zili; Bessa, Miguel A.; Li, Shaofan; Liu, Wing Kam 1 2015 Construct the stable vendor managed inventory partnership through a profit-sharing approach. Zbl 1317.90027Li, S.; Yu, Z.; Dong, M. 1 2015 A numerical method for singularly perturbed turning point problems with an interior layer. Zbl 1291.65231Geng, F. Z.; Qian, S. P.; Li, S. 42 2014 Multiscale modeling and simulation of dynamic wetting. Zbl 1296.76085Minaki, Hiroyuki; Li, Shaofan 6 2014 A three-dimensional atomistic-based process zone model simulation of fragmentation in polycrystalline solids. Zbl 1352.74081Ren, Bo; Li, Shaofan 4 2013 An atomistic-based interphase zone model for crystalline solids. Zbl 1253.74009Li, Shaofan; Zeng, Xiaowei; Ren, Bo; Qian, Jing; Zhang, Jinshu; Jha, Akhilesh K. 8 2012 An embedded atom hyperelastic constitutive model and multiscale cohesive finite element method. Zbl 1355.74072He, Minghua; Li, Shaofan 5 2012 Meshfree simulations of spall fracture. Zbl 1225.74125Ren, Bo; Li, Shaofan; Qian, Jing; Zeng, Xiaowei 3 2011 Multiscale methods for mechanical science of complex materials: bridging from quantum to stochastic multiresolution continuum. Zbl 1197.74007Liu, Wing Kam; Qian, Dong; Gonella, Stefano; Li, Shaofan; Chen, Wei; Chirputkar, Shardool 14 2010 A multiscale cohesive zone model and simulations of fractures. Zbl 1227.74054Zeng, Xiaowei; Li, Shaofan 10 2010 On multiscale non-equilibrium molecular dynamics simulations. Zbl 1197.82023Li, Shaofan; Sheng, Ni 4 2010 Prediction of mechanical gear mesh efficiency of hypoid gear pairs. Zbl 1203.70014Kolivand, M.; Li, S.; Kahraman, A. 2 2010 Introduction to micromechanics and nanomechanics. Zbl 1169.74001Li, Shaofan; Wang, Gang 41 2008 Meshfree simulation of failure modes in thin cylinders subjected to combined loads of internal pressure and localized heat. Zbl 1195.74297Qian, Dong; Eason, Thomas; Li, Shaofan; Liu, Wing Kam 8 2008 A cohesive finite element for quasi-continua. Zbl 1421.74097Liu, Xiaohu; Li, Shaofan; Sheng, Ni 7 2008 The composite Eshelby tensors and their applications to homogenization. Zbl 1144.74032Sauer, R. A.; Wang, G.; Li, S. 6 2008 A non-equilibrium multiscale simulation of shock wave propagation. Zbl 1258.74120Sheng, Ni; Li, Shaofan 1 2008 Finite-time stability of cascaded time-varying systems. Zbl 1117.93004Li, S.; Tian, Y.-P. 40 2007 A contact mechanics model for quasi-continua. Zbl 1194.74226Sauer, Roger A.; Li, Shaofan 18 2007 On criteria for dynamic adiabatic shear band propagation. Zbl 1238.74024Medyanik, Sergey N.; Liu, Wing Kam; Li, Shaofan 12 2007 Approximation of the solution and its derivative for the singularly perturbed Black-Scholes equation with nonsmooth initial data. Zbl 1210.91134Li, S.; Shishkin, G. I.; Shishkina, L. P. 4 2007 On configurational compatibility and multiscale energy momentum tensors. Zbl 1172.74004Li, Shaofan; Linder, Christian; Foulk, James W. III 3 2007 On dual configurational forces. Zbl 1103.74013Li, Shaofan; Gupta, Anurag 17 2006 Meshfree simulations of thermo-mechanical ductile fracture. Zbl 1162.74052Simkins, D. C.; Li, S. 8 2006 Propagation of a mode-III interfacial conductive crack along a conductive interface between two piezoelectric materials. Zbl 1231.74386To, Albert C.; Li, Shaofan; Glaser, Steven D. 4 2006 Estimation of coefficients in a hyperbolic equation with impulsive inputs. Zbl 1111.35123Li, S. 4 2006 A circular inclusion in a finite domain. I: The Dirichlet-Eshelby problem. Zbl 1100.74009Li, S.; Sauer, R.; Wang, G. 19 2005 Numerical manifold method based on the method of weighted residuals. Zbl 1109.74373Li, S.; Cheng, Y.; Wu, Y.-F. 15 2005 Conservation laws of linear elasticity in stress formulations. Zbl 1145.74315Li, Shaofan; Gupta, Anurag; Markenscoff, Xanthippi 10 2005 On scattering in a piezoelectric medium by a conducting crack. Zbl 1111.74511Li, Shaofan; To, Albert C.; Glaser, Steven D. 3 2005 On scattering in dissimilar piezoelectric materials by a semi-infinite interfacial crack. Zbl 1072.74041To, Albert C.; Li, Shaofan; Glaser, Steven D. 3 2005 A polychromatic sets approach to the conceptual design of machine tools. Zbl 1068.90076Xu, L.; Li, Z.; Li, S.; Tang, F. 3 2005 Reproducing kernel element interpolation: globally conforming \(I^m/C^n/P^k\) hierarchies. Zbl 1064.65009Li, Shaofan; Simkins, Daniel C.; Lu, Hongsheng; Liu, Wing Kam 3 2005 Smart element method. II: An element based on the finite Eshelby tensor. Zbl 1113.74081Wang, Gang; Liu, Xiaohu; Li, Shaofan; Sitar, Nicholas 1 2005 Meshfree particle methods. Zbl 1073.65002Li, Shaofan; Liu, Wing Kam 155 2004 Reproducing kernel element method. I: Theoretical formulation. Zbl 1060.74670Liu, Wing Kam; Han, Weimin; Lu, Hongsheng; Li, Shaofan; Cao, Jian 84 2004 Reproducing kernel element method. II: Globally conforming \(I^m/C^n\) hierarchies. Zbl 1093.74062Li, Shaofan; Lu, Hongsheng; Han, Weimin; Liu, Wing Kam; Simkins, Daniel C. 47 2004 Reproducing kernel element method. IV: Globally compatible \(C^n\) (\(n\geqslant 1\)) triangular hierarchy. Zbl 1093.74064Simkins, Daniel C. jun.; Li, Shaofan; Lu, Hongsheng; Liu, Wing Kam 33 2004 Reproducing kernel element method. III: Generalized enrichment and applications. Zbl 1060.74671Lu, Hongsheng; Li, Shaofan; Simkins, Daniel C. jun.; Liu, Wing Kam; Cao, Jian 32 2004 The effects of shear on delamination in layered materials. Zbl 1045.74595Li, S.; Wang, J.; Thouless, M. D. 8 2004 Solution to line loading of a semi-infinite solid in gradient elasticity. Zbl 1071.74006Li, S.; Miskioglu, I.; Altan, B. S. 7 2004 Mesh-free simulation of ductile fracture. Zbl 1060.74673Simonsen, Bo Cerup; Li, Shaofan 7 2004 On dual conservation laws in linear elasticity: stress function formalism. Zbl 1076.74004Li, Shaofan 3 2004 On damage theory of a cohesive medium. Zbl 1211.74189Li, Shaofan; Wang, Gang 2 2004 Effective elastic moduli of two-dimensional solids with distributed cohesive microcracks. Zbl 1063.74083Li, Shaofan; Wang, Gang; Morgan, Elise 2 2004 Variational eigenstrain multiscale finite element method. Zbl 1134.74409Li, Shaofan; Gupta, Anurag; Liu, Xiaohu; Mahyari, Morteza 1 2004 On saturation-strip model of a permeable crack in a piezoelectric ceramic. Zbl 1064.74155Li, S. 11 2003 A new approach for calculating strain for particulate media. Zbl 1085.74502O’Sullivan, Catherine; Bray, Jonathan D.; Li, Shaofan 6 2003 On global energy release rate of a permeable crack in a piezoelectric ceramic. Zbl 1110.74554Li, S. 4 2003 Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition. Zbl 1090.74698Li, Shaofan; Liu, Wing Kam; Rosakis, Ares J.; Belytschko, Ted; Hao, Wei 30 2002 Conserving Galerkin weak formulations for computational fracture mechanics. Zbl 1205.74161Li, Shaofan; Simkins, Daniel C. jun. 4 2002 Survey of multi-scale meshfree particle methods. (With color plates 10-12, p. 465-468). Zbl 1090.76570Zhang, Lucy T.; Liu, Wing K.; Li, Shao F.; Qian, Dong; Hao, Su 1 2002 Dynamic shear band propagation and micro-structure of adiabatic shear band. Zbl 1065.74061Li, Shaofan; Liu, Wing-Kam; Qian, Dong; Guduru, Pradeep R.; Rosakis, Ares J. 13 2001 A meshfree contact-detection algorithm. Zbl 0998.74081Li, Shaofan; Qian, Dong; Liu, Wing Kam; Belytschko, Ted 12 2001 On diffraction in a piezoelectric medium by a half-plane: The Sommerfeld problem. Zbl 1031.74034Li, Shaofan 1 2001 Numerical simulations of large deformation of thin shell structures using meshfree methods. Zbl 0978.74087Li, S.; Hao, W.; Liu, W. K. 56 2000 Mesh-free simulations of shear banding in large deformation. Zbl 0995.74082Li, Shaofan; Hao, Wei; Liu, Wing Kam 28 2000 Numerical simulations of strain localization in inelastic solids using mesh-free methods. Zbl 1052.74618Li, Shaofan; Liu, Wing Kam 28 2000 Multi-scale methods. Zbl 0976.74080Liu, Wing Kam; Hao, Su; Belytschko, Ted; Li, Shaofan; Chang, Chin Tang 13 2000 Parallel computation of meshless methods for explicit dynamic analysis. Zbl 0981.74078Danielson, Kent T.; Hao, Su; Liu, Wing Kam; Aziz Uras, R.; Li, Shaofan 11 2000 Error of partitioned Runge-Kutta methods for multiple stiff singular perturbation problems. Zbl 0956.65057Xiao, A.; Li, S. 7 2000 The micromechanic theory of classical plates: A congruous estimate of overall elastic stiffness. Zbl 0976.74041Li, Shaofan 5 2000 Large-scale application of some modern CSM methodologies by parallel computation. Zbl 1003.68539Danielson, K. T.; Uras, R. A.; Adley, M. D.; Li, S. 4 2000 Transient wave propagation in a transversely isotropic piezoelectric half-space. Zbl 1005.74032Li, Shaofan 4 2000 On the micromechanics theory of Reissner-Mindlin plates. Zbl 0993.74034Li, S. 4 2000 Reproducing kernel hierarchical partition of unity. I: Formulation and theory. II: Applications. Zbl 0945.74079Li, Shaofan; Liu, Wing Kam 52 1999 Estimation for type II domain of attraction based on the \(W\) statistic. Zbl 0962.62043Hasofer, A. M.; Li, S. 1 1999 Symmetric weak-form integral equation method for three-dimensional fracture analysis. Zbl 0906.73074Li, S.; Mear, M. E.; Xiao, L. 43 1998 Synchronized reproducing kernel interpolant via multiple wavelet expansion. Zbl 0912.76057Li, S.; Liu, W. K. 38 1998 A two-stage hybrid flowshop with uniform machines and setup times. Zbl 1185.90078Huang, W.; Li, S. 8 1998 Moving least-square reproducing kernel methods. I: Methodology and convergence. Zbl 0883.65088Liu, Wing Kam; Li, Shaofan; Belytschko, Ted 203 1997 Moving least-square reproducing kernel method. II: Fourier analysis. Zbl 0883.65089Li, Shaofan; Liu, Wing Kam 56 1996 Dynamic crack propagation in piezoelectric materials. I: Electrode solution. Zbl 1054.74715Li, Shaofan; Mataga, Peter A. 35 1996 Dynamic crack propagation in piezoelectric materials. II: Vacuum solution. Zbl 1055.74556Li, Shaofan; Mataga, Peter A. 24 1996 Determination of domains of attraction based on a sequence of maxima. Zbl 0884.62051Wang, J. Z.; Cooke, P.; Li, S. 4 1996 Tool condition monitoring in machining by fuzzy neural networks. Zbl 0875.93387Li, S.; Elbestawi, M. A. 1 1996 Reproducing kernel particle methods for structural dynamics. Zbl 0840.73078Liu, Wing Kam; Jun, Sukky; Li, Shaofan; Adee, Jonathan; Belytschko, Ted 262 1995 Finite difference calculus invariant structure of a class of algorithms for the nonlinear Klein-Gordon equation. Zbl 0847.65062Li, S.; Vu-Quoc, L. 110 1995 Dynamics of sliding geometrically-exact beams: Large angle maneuver and parametric resonance. Zbl 0852.73030Vu-Quoc, L.; Li, S. 11 1995 Lie-Poisson integration for rigid body dynamics. Zbl 0834.70006Li, S.; Qin, Mengzhao 6 1995 Kronrod extension of Turán formula. Zbl 0724.65015Li, S. 6 1994 Invariant-conserving finite difference algorithms for the nonlinear Klein-Gordon equation. Zbl 0790.65101Vu-Quoc, Loc; Li, Shaofan 25 1993 \(h\)- and \(p\)-adaptive boundary element methods. Zbl 0770.65076Ye, T. Q.; Zhang, Daming; Li, S.; Cheng, J. L. 1 1992 all cited Publications top 5 cited Publications all top 5 Cited by 2,109 Authors 60 Liu, Wing Kam 42 Li, Shaofan 29 Belytschko, Ted Bohdan 22 Chen, Jiun-Shyan 22 Wang, Dongdong 20 Li, Xiaolin 18 Dehghan Takht Fooladi, Mehdi 18 Liew, Kim Meow 16 Rabczuk, Timon 15 Liu, Gui-Rong 14 Arqub, Omar Abu 14 Li, Shihua 12 Gao, David Yang 12 Qian, Dong 11 Oh, Hae-Soo 11 Rungamornrat, Jaroon 9 Mear, Mark E. 9 Simkins, Daniel Craig jun. 9 Wang, Tingchun 8 Oñate Ibáñez de Navarra, Eugenio 8 Salehi, Rezvan 8 Waisman, Haim 8 Wriggers, Peter 8 Wu, Cheng-Tang 8 Zhang, Aman 8 Zhuang, Xiaoying 7 Al-Smadi, Mohammed H. 7 Gavete, Luis 7 Lu, Hongsheng 7 Ouyang, Jie 7 Sauer, Roger A. 7 Tian, Rong 7 Zhang, Lucy T. 7 Zhang, Luming 7 Zhang, Luwen 7 Zhao, Xiaohua 7 Zhou, Kun 6 Cheng, Yumin 6 Cueto, Elias 6 Duarte, C. A. M. 6 He, Dongdong 6 Huerta, Antonio 6 Idelsohn, Sergio Rodolfo 6 Jeong, Jae Woo 6 Joldes, Grand Roman 6 Kiani, Keivan 6 Kim, June Gi 6 Krongauz, Yury 6 Li, Guangyao 6 Liang, Dong 6 McAuliffe, Colin 6 Miller, Karol 6 Ming, Furen 6 Soldatenkov, I. A. 6 Tang, Shaoqiang 6 Wang, Yushun 6 Wittek, Adam 6 Wu, Xinyuan 6 Zhang, Zhiyue 5 Belinha, Jorge 5 Bratsos, Athanassios G. 5 Cai, Yongchang 5 Chi, Sheng-Wei 5 Ding, Shihong 5 Doblaré, Manuel 5 Du, Haibo 5 Fernández-Méndez, Sonia 5 Foster, John T. jun. 5 Hao, Su 5 Hu, Jinsong 5 Hu, Wei 5 Jiang, Tao 5 Koshizuka, Seiichi 5 Lazar, Markus 5 Li, Meng 5 Liu, Changying 5 Ma, Guowei 5 Oterkus, Selda 5 Qin, Mengzhao 5 Ren, Bo 5 Ren, Jinlian 5 Xie, Jianqiang 5 Yoon, Young-Cheol 5 Zhu, Jialin 4 Abbasbandy, Saeid 4 Abbaszadeh, Mostafa 4 Babuška, Ivo 4 Batra, Romesh C. 4 Benito, Juan José 4 Berger-Vergiat, Luc 4 Bonet, Javier 4 Bonnet, Marc 4 Bourantas, George C. 4 Combescure, Alain 4 Cueto-Felgueroso, Luis 4 Dong, Xuanchun 4 Duan, Qinglin 4 Georgievskiĭ, Dmitriĭ Vladimirovich 4 Han, Weimin 4 Huang, Chengming ...and 2,009 more Authors all top 5 Cited in 146 Serials 201 Computer Methods in Applied Mechanics and Engineering 135 Computational Mechanics 105 Engineering Analysis with Boundary Elements 88 International Journal for Numerical Methods in Engineering 64 Applied Mathematics and Computation 40 Journal of Computational Physics 38 Acta Mechanica 30 Journal of Computational and Applied Mathematics 27 Applied Mathematical Modelling 27 International Journal of Computational Methods 22 International Journal of Solids and Structures 22 Journal of the Mechanics and Physics of Solids 22 European Journal of Mechanics. A. Solids 20 Applied Numerical Mathematics 15 Mathematical Problems in Engineering 13 International Journal of Fracture 11 Computers & Mathematics with Applications 10 Computers and Fluids 9 Journal of Scientific Computing 9 Numerical Algorithms 8 International Journal of Control 8 International Journal of Engineering Science 8 International Journal for Numerical Methods in Fluids 8 Applied Mathematics and Mechanics. (English Edition) 8 Numerical Methods for Partial Differential Equations 8 International Journal of Computer Mathematics 8 Mathematics and Mechanics of Solids 7 Mathematics and Computers in Simulation 7 Nonlinear Dynamics 7 Communications in Nonlinear Science and Numerical Simulation 7 Archives of Computational Methods in Engineering 7 Acta Mechanica Sinica 5 Journal of the Franklin Institute 5 Meccanica 5 Applied Mathematics Letters 5 Communications in Numerical Methods in Engineering 5 Engineering Computations 5 International Journal for Numerical Methods in Biomedical Engineering 4 Computer Physics Communications 4 Journal of Engineering Mathematics 4 Mechanics Research Communications 4 Journal of Elasticity 4 Archive of Applied Mechanics 4 Advances in Computational Mathematics 4 Asian Journal of Control 4 AMM. Applied Mathematics and Mechanics. (English Edition) 3 Journal of Applied Mathematics and Mechanics 3 Mathematical Methods in the Applied Sciences 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Chaos, Solitons and Fractals 3 Automatica 3 Calcolo 3 SIAM Journal on Numerical Analysis 3 Physica D 3 Computers & Operations Research 3 International Journal of Robust and Nonlinear Control 3 Russian Journal of Mathematical Physics 3 Computational and Applied Mathematics 3 Abstract and Applied Analysis 3 Soft Computing 3 Granular Matter 3 Boundary Value Problems 3 International Journal for Computational Methods in Engineering Science and Mechanics 3 Advances in Mathematical Physics 3 Mechanics of Solids 2 Physics Letters. A 2 Wave Motion 2 Mathematics of Computation 2 Information Sciences 2 Kybernetika 2 Numerische Mathematik 2 Mathematical and Computer Modelling 2 Journal of Global Optimization 2 European Journal of Operational Research 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Advances in Engineering Software 2 Continuum Mechanics and Thermodynamics 2 Journal of Difference Equations and Applications 2 Journal of Vibration and Control 2 European Journal of Mechanics. B. Fluids 2 Nonlinear Analysis. Modelling and Control 2 Journal of Applied Mathematics 2 SIAM Journal on Imaging Sciences 2 Journal of Nonlinear Science and Applications 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Mathematical Analysis and Applications 1 Metrika 1 Moscow University Mechanics Bulletin 1 BIT 1 Journal of Approximation Theory 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Optimal Control Applications & Methods 1 Circuits, Systems, and Signal Processing 1 International Journal of Production Research 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Asia-Pacific Journal of Operational Research ...and 46 more Serials all top 5 Cited in 37 Fields 705 Mechanics of deformable solids (74-XX) 551 Numerical analysis (65-XX) 188 Partial differential equations (35-XX) 175 Fluid mechanics (76-XX) 48 Ordinary differential equations (34-XX) 40 Systems theory; control (93-XX) 28 Statistical mechanics, structure of matter (82-XX) 24 Operations research, mathematical programming (90-XX) 22 Dynamical systems and ergodic theory (37-XX) 19 Biology and other natural sciences (92-XX) 17 Approximations and expansions (41-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Integral equations (45-XX) 12 Mechanics of particles and systems (70-XX) 12 Quantum theory (81-XX) 11 Functional analysis (46-XX) 10 Operator theory (47-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Computer science (68-XX) 7 Optics, electromagnetic theory (78-XX) 6 Functions of a complex variable (30-XX) 5 Geophysics (86-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Real functions (26-XX) 4 Statistics (62-XX) 4 Information and communication theory, circuits (94-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral transforms, operational calculus (44-XX) Citations by Year