Edit Profile (opens in new tab) Li, Shaofan Compute Distance To: Compute Author ID: li.shaofan Published as: Li, Shaofan; Li, S.; Li, Shao F.; Li, S. F. more...less Documents Indexed: 134 Publications since 1992, including 2 Books 1 Contribution as Editor Co-Authors: 85 Co-Authors with 88 Joint Publications 1,394 Co-Co-Authors all top 5 Co-Authors 10 single-authored 24 Liu, Wing Kam 8 Zhang, Aman 7 Simkins, Daniel Craig jun. 6 Fan, Houfu 5 Belytschko, Ted Bohdan 5 Lu, Hongsheng 5 Qian, Dong 5 Ren, Bo 5 Xie, Yuxi 5 Yan, Jiale 4 Gupta, Anurag P. 4 Kan, Xingyu 4 Liu, Xiaohu 3 Glaser, Steven D. 3 Hao, Su 3 Hao, Wei 3 Lai, Xin 3 Lyu, Dandan 3 Peng, Yuxiang 3 Sauer, Roger A. 3 Sheng, Ni 3 To, Albert C. 3 Vu-Quoc, Loc 3 Zeng, Xiaowei 2 Bergel, Guy L. 2 Cao, Jian 2 Danielson, Kent T. 2 Han, Weimin 2 Hu, Xuan 2 Jia, Yu 2 Liu, Lisheng 2 Mataga, Peter A. 2 Nie, Xinchuang 2 Qian, Jing 2 Rosakis, Ares J. 2 Tong, Qi 2 Xue, Xinlian 2 Zeng, Danielle 2 Zhai, Hao 1 Adee, Jonathan 1 Adley, M. D. 1 Altan, B. S. 1 Aziz Uras, R. 1 Bessa, Miguel A. 1 Bie, Y. H. 1 Bishara, Dana 1 Bray, Jonathan D. 1 Brinkgreve, R. B. J. 1 Chang, Chin Tang 1 Chen, Guorong 1 Chen, Qijun 1 Chen, Wei 1 Cheng, Jinliang 1 Chirputkar, Shardool U. 1 Cooke, Peter J. 1 Dai, Zili 1 Eason, Thomas 1 Elbestawi, M. A. 1 Fan, Jincheng 1 Foulk, James W. III 1 Ge, Xiurun 1 Gonella, Stefano 1 Guduru, Pradeep R. 1 Hasofer, Abraham M. 1 He, Minghua 1 Jeanmeure, L. F. C. 1 Jha, Akhilesh Kumar 1 Jun, Sukky 1 Kolivand, M. 1 Li, Boyuan 1 Li, Tiange 1 Linder, Christian 1 Liu, Renwei 1 Mahyari, Morteza 1 Mao, Xiaochen 1 Markenscoff, Xanthippi 1 Mear, Mark E. 1 Medyanik, Sergey N. 1 Minaki, Hiroyuki 1 Ming, Furen 1 Miskioglu, I. 1 Morgan, Elise 1 Ni, Baoyu 1 O’Sullivan, Catherine 1 Qin, Mengzhao 1 Regueiro, Richard A. 1 Ren, Shaofei 1 Shevlin, S. A. 1 Shi, Chunxiang 1 Shishkin, Grigoriĭ Ivanovich 1 Shishkina, Lidia P. 1 Shyy, Wei 1 Simonsen, Bo Cerup 1 Sitar, Nicholas 1 Sun, Bohua 1 Sun, Jianqiao 1 Sun, Pengnan 1 Thouless, M. D. 1 Tu, Qingsong 1 Uras, Rasim Aziz ...and 9 more Co-Authors all top 5 Serials 26 Computer Methods in Applied Mechanics and Engineering 15 Computational Mechanics 14 International Journal for Numerical Methods in Engineering 7 Journal of the Mechanics and Physics of Solids 6 Acta Mechanica 5 International Journal of Solids and Structures 4 Journal of Computational Physics 3 Journal of Applied Mechanics 2 Analysis Mathematica 2 International Journal of Engineering Science 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Physics Letters. A 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Advances in Engineering Software 2 European Journal of Mechanics. A. Solids 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Wave Motion 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 The Australian Journal of Statistics 1 Computing 1 Mechanics Research Communications 1 SIAM Journal on Numerical Analysis 1 Studia Scientiarum Mathematicarum Hungarica 1 Circuits, Systems, and Signal Processing 1 International Journal of Production Research 1 Mathematical and Computer Modelling 1 Journal of Dynamic Systems, Measurement and Control 1 Journal of Elasticity 1 Archive of Applied Mechanics 1 Communications in Numerical Methods in Engineering 1 Journal of Inverse and Ill-Posed Problems 1 Engineering Analysis with Boundary Elements 1 Journal of Geodesy 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Australian & New Zealand Journal of Statistics 1 Chaos 1 Mechanism and Machine Theory 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Multiscale Modeling 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Proceedings A. Royal Society of London all top 5 Fields 92 Mechanics of deformable solids (74-XX) 18 Numerical analysis (65-XX) 15 Fluid mechanics (76-XX) 8 Partial differential equations (35-XX) 6 Quantum theory (81-XX) 5 Computer science (68-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Operations research, mathematical programming (90-XX) 4 Operator theory (47-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 113 Publications have been cited 1,990 times in 1,106 Documents Cited by ▼ Year ▼ Reproducing kernel particle methods for structural dynamics. Zbl 0840.73078Liu, Wing Kam; Jun, Sukky; Li, Shaofan; Adee, Jonathan; Belytschko, Ted 276 1995 Moving least-square reproducing kernel methods. I: Methodology and convergence. Zbl 0883.65088Liu, Wing Kam; Li, Shaofan; Belytschko, Ted 193 1997 Meshfree particle methods. Zbl 1073.65002Li, Shaofan; Liu, Wing Kam 153 2004 Finite difference calculus invariant structure of a class of algorithms for the nonlinear Klein-Gordon equation. Zbl 0847.65062Li, S.; Vu-Quoc, L. 125 1995 Reproducing kernel element method. I: Theoretical formulation. Zbl 1060.74670Liu, Wing Kam; Han, Weimin; Lu, Hongsheng; Li, Shaofan; Cao, Jian 86 2004 Numerical simulations of large deformation of thin shell structures using meshfree methods. Zbl 0978.74087Li, S.; Hao, W.; Liu, W. K. 58 2000 Moving least-square reproducing kernel method. II: Fourier analysis. Zbl 0883.65089Li, Shaofan; Liu, Wing Kam 55 1996 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. 48 2004 Introduction to micromechanics and nanomechanics. Zbl 1169.74001Li, Shaofan; Wang, Gang 48 2008 Synchronized reproducing kernel interpolant via multiple wavelet expansion. Zbl 0912.76057Li, S.; Liu, W. K. 47 1998 Reproducing kernel hierarchical partition of unity. I: Formulation and theory. II: Applications. Zbl 0945.74079Li, Shaofan; Liu, Wing Kam 44 1999 Symmetric weak-form integral equation method for three-dimensional fracture analysis. Zbl 0906.73074Li, S.; Mear, M. E.; Xiao, L. 43 1998 Finite-time stability of cascaded time-varying systems. Zbl 1117.93004Li, S.; Tian, Y.-P. 42 2007 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 35 2002 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 34 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 33 2004 Mesh-free simulations of shear banding in large deformation. Zbl 0995.74082Li, Shaofan; Hao, Wei; Liu, Wing Kam 31 2000 Numerical simulations of strain localization in inelastic solids using mesh-free methods. Zbl 1052.74618Li, Shaofan; Liu, Wing Kam 29 2000 Invariant-conserving finite difference algorithms for the nonlinear Klein-Gordon equation. Zbl 0790.65101Vu-Quoc, Loc; Li, Shaofan 28 1993 Dynamic crack propagation in piezoelectric materials. II: Vacuum solution. Zbl 1055.74556Li, Shaofan; Mataga, Peter A. 24 1996 A contact mechanics model for quasi-continua. Zbl 1194.74226Sauer, Roger A.; Li, Shaofan 20 2007 A circular inclusion in a finite domain. I: The Dirichlet-Eshelby problem. Zbl 1100.74009Li, S.; Sauer, R.; Wang, G. 19 2005 On dual configurational forces. Zbl 1103.74013Li, Shaofan; Gupta, Anurag 17 2006 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 16 2010 Numerical manifold method based on the method of weighted residuals. Zbl 1109.74373Li, S.; Cheng, Y.; Wu, Y.-F. 16 2005 An updated Lagrangian particle hydrodynamics (ULPH) for Newtonian fluids. Zbl 1380.76127Tu, Qingsong; Li, Shaofan 15 2017 Dynamics of sliding geometrically-exact beams: Large angle maneuver and parametric resonance. Zbl 0852.73030Vu-Quoc, L.; Li, S. 15 1995 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. 14 2001 The total and updated Lagrangian formulations of state-based peridynamics. Zbl 1398.74303Bergel, Guy L.; Li, Shaofan 14 2016 A meshfree contact-detection algorithm. Zbl 0998.74081Li, Shaofan; Qian, Dong; Liu, Wing Kam; Belytschko, Ted 14 2001 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 14 2015 On criteria for dynamic adiabatic shear band propagation. Zbl 1238.74024Medyanik, Sergey N.; Liu, Wing Kam; Li, Shaofan 13 2007 On saturation-strip model of a permeable crack in a piezoelectric ceramic. Zbl 1064.74155Li, S. 12 2003 Meshfree simulations of thermo-mechanical ductile fracture. Zbl 1162.74052Simkins, D. C.; Li, S. 12 2006 A stable node-based smoothed finite element method for metal forming analysis. Zbl 1469.74110Yang, H.; Cui, X. Y.; Li, S.; Bie, Y. H. 12 2019 Multi-scale methods. Zbl 0976.74080Liu, Wing Kam; Hao, Su; Belytschko, Ted; Li, Shaofan; Chang, Chin Tang 11 2000 Conservation laws of linear elasticity in stress formulations. Zbl 1145.74315Li, Shaofan; Gupta, Anurag; Markenscoff, Xanthippi 11 2005 A multiscale cohesive zone model and simulations of fractures. Zbl 1227.74054Zeng, Xiaowei; Li, Shaofan 11 2010 Higher-order nonlocal theory of updated Lagrangian particle hydrodynamics (ULPH) and simulations of multiphase flows. Zbl 07337992Yan, Jiale; Li, Shaofan; Kan, Xingyu; Zhang, A-Man; Lai, Xin 10 2020 A peridynamics-SPH modeling and simulation of blast fragmentation of soil under buried explosive loads. Zbl 1439.74187Fan, Houfu; Li, Shaofan 10 2017 Parallel computation of meshless methods for explicit dynamic analysis. Zbl 0981.74078Danielson, Kent T.; Hao, Su; Liu, Wing Kam; Aziz Uras, R.; Li, Shaofan 9 2000 The effects of shear on delamination in layered materials. Zbl 1045.74595Li, S.; Wang, J.; Thouless, M. D. 9 2004 An atomistic-based interphase zone model for crystalline solids. Zbl 1253.74009Li, Shaofan; Zeng, Xiaowei; Ren, Bo; Qian, Jing; Zhang, Jinshu; Jha, Akhilesh K. 9 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 Mesh-free simulation of ductile fracture. Zbl 1060.74673Simonsen, Bo Cerup; Li, Shaofan 8 2004 Solution to line loading of a semi-infinite solid in gradient elasticity. Zbl 1071.74006Li, S.; Miskioglu, I.; Altan, B. S. 8 2004 Error of partitioned Runge-Kutta methods for multiple stiff singular perturbation problems. Zbl 0956.65057Xiao, A.; Li, S. 7 2000 A two-stage hybrid flowshop with uniform machines and setup times. Zbl 1185.90078Huang, W.; Li, S. 7 1998 A cohesive finite element for quasi-continua. Zbl 1421.74097Liu, Xiaohu; Li, Shaofan; Sheng, Ni 7 2008 Multiscale modeling and simulation of dynamic wetting. Zbl 1296.76085Minaki, Hiroyuki; Li, Shaofan 6 2014 Kronrod extension of Turán formula. Zbl 0724.65015Li, S. 6 1994 A new approach for calculating strain for particulate media. Zbl 1085.74502O’Sullivan, Catherine; Bray, Jonathan D.; Li, Shaofan 6 2003 The composite Eshelby tensors and their applications to homogenization. Zbl 1144.74032Sauer, R. A.; Wang, G.; Li, S. 6 2008 Updated Lagrangian particle hydrodynamics (ULPH) modeling and simulation of multiphase flows. Zbl 1452.76186Yan, Jiale; Li, Shaofan; Zhang, A-Man; Kan, Xingyu; Sun, Peng-Nan 6 2019 A beam formulation based on RKPM for the dynamic analysis of stiffened shell structures. Zbl 1469.74128Peng, Y. X.; Zhang, A. M.; Li, S. F.; Ming, F. R. 6 2019 The micromechanic theory of classical plates: A congruous estimate of overall elastic stiffness. Zbl 0976.74041Li, Shaofan 5 2000 Lie-Poisson integration for rigid body dynamics. Zbl 0834.70006Li, S.; Qin, Mengzhao 5 1995 Determination of domains of attraction based on a sequence of maxima. Zbl 0884.62051Wang, J. Z.; Cooke, P.; Li, S. 5 1996 Meshfree simulations of spall fracture. Zbl 1225.74125Ren, Bo; Li, Shaofan; Qian, Jing; Zeng, Xiaowei 5 2011 An embedded atom hyperelastic constitutive model and multiscale cohesive finite element method. Zbl 1355.74072He, Minghua; Li, Shaofan 5 2012 A three-dimensional atomistic-based process zone model simulation of fragmentation in polycrystalline solids. Zbl 1352.74081Ren, Bo; Li, Shaofan 4 2013 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 On the micromechanics theory of Reissner-Mindlin plates. Zbl 0993.74034Li, S. 4 2000 On multiscale non-equilibrium molecular dynamics simulations. Zbl 1197.82023Li, Shaofan; Sheng, Ni 4 2010 On multiscale moving contact line theory. Zbl 1371.76154Li, Shaofan; Fan, Houfu 4 2015 Dynamics of delay-coupled Fitzhugh-Nagumo neural rings. Zbl 1390.34142Mao, Xiaochen; Sun, Jianqiao; Li, Shaofan 4 2018 Transient wave propagation in a transversely isotropic piezoelectric half-space. Zbl 1005.74032Li, Shaofan 4 2000 Conserving Galerkin weak formulations for computational fracture mechanics. Zbl 1205.74161Li, Shaofan; Simkins, Daniel C. jun. 4 2002 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 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 scattering in a piezoelectric medium by a conducting crack. Zbl 1111.74511Li, Shaofan; To, Albert C.; Glaser, Steven D. 3 2005 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. 3 2007 On dual conservation laws in linear elasticity: stress function formalism. Zbl 1076.74004Li, Shaofan 3 2004 On scattering in dissimilar piezoelectric materials by a semi-infinite interfacial crack. Zbl 1072.74041To, Albert C.; Li, Shaofan; Glaser, Steven D. 3 2005 Quantification and compensation of thermal distortion in additive manufacturing: a computational statistics approach. Zbl 07340450Wang, Chao; Li, Shaofan; Zeng, Danielle; Zhu, Xinhai 3 2021 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. 3 2019 On configurational compatibility and multiscale energy momentum tensors. Zbl 1172.74004Li, Shaofan; Linder, Christian; Foulk, James W. III 3 2007 Essential norm of weighted composition operators from analytic Besov spaces into Zygmund type spaces. Zbl 1426.30041Hu, Q.; Li, S.; Zhang, Y. 3 2019 Application of deep learning neural network to identify collision load conditions based on permanent plastic deformation of shell structures. Zbl 1468.74082Chen, Guorong; Li, Tiange; Chen, Qijun; Ren, Shaofei; Wang, Chao; Li, Shaofan 3 2019 A three-dimensional surface stress tensor formulation for simulation of adhesive contact in finite deformation. Zbl 1352.74201Fan, Houfu; Li, Shaofan 2 2016 An adhesive contact mechanics formulation based on atomistically induced surface traction. Zbl 1349.74274Fan, Houfu; Ren, Bo; Li, Shaofan 2 2015 Prediction of mechanical gear mesh efficiency of hypoid gear pairs. Zbl 1203.70014Kolivand, M.; Li, S.; Kahraman, A. 2 2010 Effective elastic moduli of two-dimensional solids with distributed cohesive microcracks. Zbl 1063.74083Li, Shaofan; Wang, Gang; Morgan, Elise 2 2004 A polychromatic sets approach to the conceptual design of machine tools. Zbl 1068.90076Xu, L.; Li, Z.; Li, S.; Tang, F. 2 2005 A concurrent multiscale study of dynamic fracture. Zbl 1442.74022Tong, Qi; Li, Shaofan 2 2020 Updated Lagrangian particle hydrodynamics (ULPH) modeling of solid object water entry problems. Zbl 1467.76043Yan, Jiale; Li, Shaofan; Kan, Xingyu; Zhang, A-Man; Liu, Lisheng 2 2021 Construct the stable vendor managed inventory partnership through a profit-sharing approach. Zbl 1317.90027Li, S.; Yu, Z.; Dong, M. 2 2015 On nonlocal geometrically exact shell theory and modeling fracture in shell structures. Zbl 07427315Zhang, Qi; Li, Shaofan; Zhang, A-Man; Peng, Yuxiang 2 2021 On diffraction in a piezoelectric medium by a half-plane: The Sommerfeld problem. Zbl 1031.74034Li, Shaofan 1 2001 \(h\)- and \(p\)-adaptive boundary element methods. Zbl 0770.65076Ye, T. Q.; Zhang, Daming; Li, S.; Cheng, J. L. 1 1992 Estimation for type II domain of attraction based on the \(W\) statistic. Zbl 0962.62043Hasofer, A. M.; Li, S. 1 1999 Simulation on the interaction between multiple bubbles and free surface with viscous effects. Zbl 1403.76089Li, S.; Ni, Bao-yu 1 2016 Particle method modeling of nonlocal multiresolution continua. Zbl 1342.76097Dai, Zili; Bessa, Miguel A.; Li, Shaofan; Liu, Wing Kam 1 2015 Stresses in an infinite medium with two similar circular cylindrical inclusions. Zbl 1156.74307Zou, Z.; Li, S. 1 2002 Tool condition monitoring in machining by fuzzy neural networks. Zbl 0875.93387Li, S.; Elbestawi, M. A. 1 1996 Variational eigenstrain multiscale finite element method. Zbl 1134.74409Li, Shaofan; Gupta, Anurag; Liu, Xiaohu; Mahyari, Morteza 1 2004 Smart element method. II: An element based on the finite Eshelby tensor. Zbl 1113.74081Wang, Gang; Liu, Xiaohu; Li, Shaofan; Sitar, Nicholas 1 2005 A generalized Bayesian regularization network approach on characterization of geometric defects in lattice structures for topology optimization in preliminary design of 3D printing. Zbl 07518258Xie, Yuxi; Li, Shaofan; Wu, C. T.; Lyu, Dandan; Wang, Chao; Zeng, Danielle 1 2022 Quantification and compensation of thermal distortion in additive manufacturing: a computational statistics approach. Zbl 07340450Wang, Chao; Li, Shaofan; Zeng, Danielle; Zhu, Xinhai 3 2021 Updated Lagrangian particle hydrodynamics (ULPH) modeling of solid object water entry problems. Zbl 1467.76043Yan, Jiale; Li, Shaofan; Kan, Xingyu; Zhang, A-Man; Liu, Lisheng 2 2021 On nonlocal geometrically exact shell theory and modeling fracture in shell structures. Zbl 07427315Zhang, Qi; Li, Shaofan; Zhang, A-Man; Peng, Yuxiang 2 2021 On differences and comparisons of peridynamic differential operators and nonlocal differential operators. Zbl 1479.74012Kan, Xingyu; Yan, Jiale; Li, Shaofan; Zhang, A-Man 1 2021 A stress-driven computational homogenization method based on complementary potential energy variational principle for elastic composites. Zbl 07360522Xie, Yuxi; Li, Shaofan 1 2021 \(\mathcal{N}(p,q,s)\)-type spaces in the unit ball of \(\mathbb{C}^n\). IV: Atomic decomposition, Gleason’s problem and distance problems. Zbl 1474.32024Hu, B.; Li, S. 1 2021 Higher-order nonlocal theory of updated Lagrangian particle hydrodynamics (ULPH) and simulations of multiphase flows. Zbl 07337992Yan, Jiale; Li, Shaofan; Kan, Xingyu; Zhang, A-Man; Lai, Xin 10 2020 A concurrent multiscale study of dynamic fracture. Zbl 1442.74022Tong, Qi; Li, Shaofan 2 2020 Difference of weighted composition operators on weighted-type spaces in the unit ball. Zbl 1463.32008Hu, B.; Li, S. 1 2020 A stable node-based smoothed finite element method for metal forming analysis. Zbl 1469.74110Yang, H.; Cui, X. Y.; Li, S.; Bie, Y. H. 12 2019 Updated Lagrangian particle hydrodynamics (ULPH) modeling and simulation of multiphase flows. Zbl 1452.76186Yan, Jiale; Li, Shaofan; Zhang, A-Man; Kan, Xingyu; Sun, Peng-Nan 6 2019 A beam formulation based on RKPM for the dynamic analysis of stiffened shell structures. Zbl 1469.74128Peng, Y. X.; Zhang, A. M.; Li, S. F.; Ming, F. R. 6 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. 3 2019 Essential norm of weighted composition operators from analytic Besov spaces into Zygmund type spaces. Zbl 1426.30041Hu, Q.; Li, S.; Zhang, Y. 3 2019 Application of deep learning neural network to identify collision load conditions based on permanent plastic deformation of shell structures. Zbl 1468.74082Chen, Guorong; Li, Tiange; Chen, Qijun; Ren, Shaofei; Wang, Chao; Li, Shaofan 3 2019 Multiscale modeling of dislocation patterns and simulation of nanoscale plasticity in body-centered cubic (BCC) single crystals. Zbl 1452.74026Zhang, Lu-Wen; Xie, Yuxi; Lyu, Dandan; Li, Shaofan 1 2019 Dynamics of delay-coupled Fitzhugh-Nagumo neural rings. Zbl 1390.34142Mao, Xiaochen; Sun, Jianqiao; Li, Shaofan 4 2018 An updated Lagrangian particle hydrodynamics (ULPH) for Newtonian fluids. Zbl 1380.76127Tu, Qingsong; Li, Shaofan 15 2017 A peridynamics-SPH modeling and simulation of blast fragmentation of soil under buried explosive loads. Zbl 1439.74187Fan, Houfu; Li, Shaofan 10 2017 The total and updated Lagrangian formulations of state-based peridynamics. Zbl 1398.74303Bergel, Guy L.; Li, Shaofan 14 2016 A three-dimensional surface stress tensor formulation for simulation of adhesive contact in finite deformation. Zbl 1352.74201Fan, Houfu; Li, Shaofan 2 2016 Simulation on the interaction between multiple bubbles and free surface with viscous effects. Zbl 1403.76089Li, S.; Ni, Bao-yu 1 2016 An atomistic-to-continuum molecular dynamics: theory, algorithm, and applications. Zbl 1436.82027Li, Shaofan; Urata, Shingo 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 14 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 2 2015 Construct the stable vendor managed inventory partnership through a profit-sharing approach. Zbl 1317.90027Li, S.; Yu, Z.; Dong, M. 2 2015 Particle method modeling of nonlocal multiresolution continua. Zbl 1342.76097Dai, Zili; Bessa, Miguel A.; Li, Shaofan; Liu, Wing Kam 1 2015 Multiscale modeling and simulation of dynamic wetting. Zbl 1296.76085Minaki, Hiroyuki; Li, Shaofan 6 2014 Optimal tracking for a divergent-type parabolic PDE system in current profile control. Zbl 1474.49079Li, S.; Jiang, H.; Ren, Z.; Xu, C. 1 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. 9 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 5 2011 Advances in cell mechanics. Zbl 1286.92013 1 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 16 2010 A multiscale cohesive zone model and simulations of fractures. Zbl 1227.74054Zeng, Xiaowei; Li, Shaofan 11 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 48 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. 42 2007 A contact mechanics model for quasi-continua. Zbl 1194.74226Sauer, Roger A.; Li, Shaofan 20 2007 On criteria for dynamic adiabatic shear band propagation. Zbl 1238.74024Medyanik, Sergey N.; Liu, Wing Kam; Li, Shaofan 13 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. 3 2007 On configurational compatibility and multiscale energy momentum tensors. Zbl 1172.74004Li, Shaofan; Linder, Christian; Foulk, James W. III 3 2007 Quantum heat engine beyond the adiabatic approximation. Zbl 1144.80326Li, S.; Wang, H.; Sun, Y. D.; Yi, X. X. 1 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. 12 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. 16 2005 Conservation laws of linear elasticity in stress formulations. Zbl 1145.74315Li, Shaofan; Gupta, Anurag; Markenscoff, Xanthippi 11 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 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. 2 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 153 2004 Reproducing kernel element method. I: Theoretical formulation. Zbl 1060.74670Liu, Wing Kam; Han, Weimin; Lu, Hongsheng; Li, Shaofan; Cao, Jian 86 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. 48 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 34 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 33 2004 The effects of shear on delamination in layered materials. Zbl 1045.74595Li, S.; Wang, J.; Thouless, M. D. 9 2004 Mesh-free simulation of ductile fracture. Zbl 1060.74673Simonsen, Bo Cerup; Li, Shaofan 8 2004 Solution to line loading of a semi-infinite solid in gradient elasticity. Zbl 1071.74006Li, S.; Miskioglu, I.; Altan, B. S. 8 2004 On dual conservation laws in linear elasticity: stress function formalism. Zbl 1076.74004Li, Shaofan 3 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 damage theory of a cohesive medium. Zbl 1211.74189Li, Shaofan; Wang, Gang 1 2004 On saturation-strip model of a permeable crack in a piezoelectric ceramic. Zbl 1064.74155Li, S. 12 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 35 2002 Conserving Galerkin weak formulations for computational fracture mechanics. Zbl 1205.74161Li, Shaofan; Simkins, Daniel C. jun. 4 2002 Stresses in an infinite medium with two similar circular cylindrical inclusions. Zbl 1156.74307Zou, Z.; Li, S. 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. 14 2001 A meshfree contact-detection algorithm. Zbl 0998.74081Li, Shaofan; Qian, Dong; Liu, Wing Kam; Belytschko, Ted 14 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. 58 2000 Mesh-free simulations of shear banding in large deformation. Zbl 0995.74082Li, Shaofan; Hao, Wei; Liu, Wing Kam 31 2000 Numerical simulations of strain localization in inelastic solids using mesh-free methods. Zbl 1052.74618Li, Shaofan; Liu, Wing Kam 29 2000 Multi-scale methods. Zbl 0976.74080Liu, Wing Kam; Hao, Su; Belytschko, Ted; Li, Shaofan; Chang, Chin Tang 11 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 9 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 On the micromechanics theory of Reissner-Mindlin plates. Zbl 0993.74034Li, S. 4 2000 Transient wave propagation in a transversely isotropic piezoelectric half-space. Zbl 1005.74032Li, Shaofan 4 2000 Initial post-buckling and growth of a circular delamination bridged by nonlinear fibers. Zbl 1110.74555Li, S.; Nie, J.; Qian, J.; Huang, Y.; Hu, Y. 1 2000 Reproducing kernel hierarchical partition of unity. I: Formulation and theory. II: Applications. Zbl 0945.74079Li, Shaofan; Liu, Wing Kam 44 1999 Estimation for type II domain of attraction based on the \(W\) statistic. Zbl 0962.62043Hasofer, A. M.; Li, S. 1 1999 Synchronized reproducing kernel interpolant via multiple wavelet expansion. Zbl 0912.76057Li, S.; Liu, W. K. 47 1998 Symmetric weak-form integral equation method for three-dimensional fracture analysis. Zbl 0906.73074Li, S.; Mear, M. E.; Xiao, L. 43 1998 A two-stage hybrid flowshop with uniform machines and setup times. Zbl 1185.90078Huang, W.; Li, S. 7 1998 ...and 13 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,642 Authors 59 Liu, Wing Kam 50 Li, Shaofan 27 Belytschko, Ted Bohdan 24 Chen, Jiun-Shyan 22 Wang, Dongdong 20 Li, Xiaolin 19 Dehghan Takht Fooladi, Mehdi 18 Liew, Kim Meow 16 Rabczuk, Timon 15 Liu, Gui-Rong 15 Zhang, Aman 12 Gao, David Yang 12 Qian, Dong 11 Oh, Hae-Soo 9 Simkins, Daniel Craig jun. 9 Waisman, Haim 9 Wang, Yushun 9 Zhou, Kun 8 Hillman, Michael C. 8 Oñate Ibáñez de Navarra, Eugenio 8 Salehi, Rezvan 8 Wang, Tingchun 8 Wu, Cheng-Tang 8 Zhang, Luming 7 Gavete, Luis 7 Liang, Dong 7 Lu, Hongsheng 7 Ming, Furen 7 Sauer, Roger A. 7 Soldatenkov, I. A. 7 Tang, Shaoqiang 7 Tian, Rong 7 Wriggers, Peter 7 Wu, Xinyuan 7 Zhang, Lu-Wen 7 Zhang, Lucy T. 7 Zhang, Zhiyue 7 Zhao, Xiaohua 7 Zhuang, Xiaoying 6 Cai, Wenjun 6 Cheng, Yumin 6 Cueto, Elias 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 Li, Guangyao 6 Liu, Changying 6 McAuliffe, Colin 6 Miller, Karol 6 Oterkus, Selda 6 Ouyang, Jie 6 Peng, Yuxiang 6 Wang, Lihua 6 Wittek, Adam 5 Abbaszadeh, Mostafa 5 Bratsos, Athanassios G. 5 Chi, Sheng-Wei 5 Doblaré, Manuel 5 Duan, Qinglin 5 Fernández-Méndez, Sonia 5 Foster, John T. jun. 5 Hao, Su 5 Hu, Wei 5 Koshizuka, Seiichi 5 Krongauz, Yury 5 Lazar, Markus 5 Li, Meng 5 Markenscoff, Xanthippi 5 Ren, Bo 5 Tanaka, Satoyuki 5 Tatari, Mehdi 5 Wu, Junchao 5 Xie, Jianqiang 5 Xie, Yuxi 5 Yan, Jiale 5 Yoon, Young-Cheol 5 Zhu, Jialin 4 Babuška, Ivo 4 Batra, Romesh C. 4 Bazilevs, Yuri 4 Belinha, Jorge 4 Benito, Juan José 4 Berger-Vergiat, Luc 4 Bonet, Javier 4 Boroomand, Bijan 4 Bourantas, George C. 4 Cai, Yongchang 4 Combescure, Alain 4 Cueto-Felgueroso, Luis 4 Dong, Xuanchun 4 Georgievskiĭ, Dmitriĭ Vladimirovich 4 Han, Weimin 4 Hu, Dongdong 4 Hu, Jinsong 4 Huang, Chengming 4 Ide, Takanori ...and 1,542 more Authors all top 5 Cited in 113 Serials 206 Computer Methods in Applied Mechanics and Engineering 148 Computational Mechanics 89 Engineering Analysis with Boundary Elements 81 International Journal for Numerical Methods in Engineering 49 Applied Mathematics and Computation 40 Acta Mechanica 40 Journal of Computational Physics 27 Applied Mathematical Modelling 26 International Journal of Computational Methods 25 Journal of the Mechanics and Physics of Solids 21 Applied Numerical Mathematics 19 European Journal of Mechanics. 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(English Edition) 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Journal of Engineering Mathematics 4 Meccanica 4 Advances in Computational Mathematics 4 Mechanics of Solids 3 Computer Physics Communications 3 Journal of Applied Mathematics and Mechanics 3 Mechanics Research Communications 3 SIAM Journal on Numerical Analysis 3 Physica D 3 Journal of Elasticity 3 Archive of Applied Mechanics 3 Russian Journal of Mathematical Physics 3 Computational and Applied Mathematics 3 Nonlinear Dynamics 3 Granular Matter 3 Boundary Value Problems 3 International Journal for Computational Methods in Engineering Science and Mechanics 3 Advances in Mathematical Physics 3 Advances in Applied Mathematics and Mechanics 2 Journal of Fluid Mechanics 2 Mathematical Methods in the Applied Sciences 2 Physics Letters. A 2 Wave Motion 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Calcolo 2 Numerische Mathematik 2 Applied Mathematics Letters 2 Journal of Global Optimization 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 Vibration and Control 2 Nonlinear Analysis. Modelling and Control 2 Communications in Computational Physics 2 SIAM Journal on Imaging Sciences 2 Journal of Nonlinear Science and Applications 2 Computational Methods for Differential Equations 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Moscow University Mechanics Bulletin 1 Mathematics of Computation 1 Journal of Approximation Theory 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Asia-Pacific Journal of Operational Research 1 Journal of Economic Dynamics & Control 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 SIAM Journal on Mathematical Analysis 1 Cybernetics and Systems Analysis 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Bulletin des Sciences Mathématiques 1 Journal of Difference Equations and Applications 1 Journal of Mathematical Chemistry 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Multibody System Dynamics 1 Mathematical Methods of Operations Research 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling of Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. B. Fluids 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Methods in Applied Mathematics ...and 13 more Serials all top 5 Cited in 33 Fields 677 Mechanics of deformable solids (74-XX) 510 Numerical analysis (65-XX) 189 Fluid mechanics (76-XX) 179 Partial differential equations (35-XX) 27 Statistical mechanics, structure of matter (82-XX) 24 Biology and other natural sciences (92-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Quantum theory (81-XX) 13 Ordinary differential equations (34-XX) 13 Operations research, mathematical programming (90-XX) 10 Mechanics of particles and systems (70-XX) 9 Approximations and expansions (41-XX) 9 Optics, electromagnetic theory (78-XX) 6 Real functions (26-XX) 6 Integral equations (45-XX) 5 Functions of a complex variable (30-XX) 5 Geophysics (86-XX) 4 Functional analysis (46-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Systems theory; control (93-XX) Citations by Year