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Li, Shaofan

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Author ID: li.shaofan Recent zbMATH articles by "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

Publications by Year

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 0840.73078
Liu, Wing Kam; Jun, Sukky; Li, Shaofan; Adee, Jonathan; Belytschko, Ted
262
1995
Moving least-square reproducing kernel methods. I: Methodology and convergence. Zbl 0883.65088
Liu, Wing Kam; Li, Shaofan; Belytschko, Ted
203
1997
Meshfree particle methods. Zbl 1073.65002
Li, Shaofan; Liu, Wing Kam
155
2004
Finite difference calculus invariant structure of a class of algorithms for the nonlinear Klein-Gordon equation. Zbl 0847.65062
Li, S.; Vu-Quoc, L.
110
1995
Reproducing kernel element method. I: Theoretical formulation. Zbl 1060.74670
Liu, 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 0978.74087
Li, S.; Hao, W.; Liu, W. K.
56
2000
Moving least-square reproducing kernel method. II: Fourier analysis. Zbl 0883.65089
Li, Shaofan; Liu, Wing Kam
56
1996
Reproducing kernel hierarchical partition of unity. I: Formulation and theory. II: Applications. Zbl 0945.74079
Li, Shaofan; Liu, Wing Kam
52
1999
Reproducing kernel element method. II: Globally conforming \(I^m/C^n\) hierarchies. Zbl 1093.74062
Li, 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 0906.73074
Li, S.; Mear, M. E.; Xiao, L.
43
1998
A numerical method for singularly perturbed turning point problems with an interior layer. Zbl 1291.65231
Geng, F. Z.; Qian, S. P.; Li, S.
42
2014
Introduction to micromechanics and nanomechanics. Zbl 1169.74001
Li, Shaofan; Wang, Gang
41
2008
Finite-time stability of cascaded time-varying systems. Zbl 1117.93004
Li, S.; Tian, Y.-P.
40
2007
Synchronized reproducing kernel interpolant via multiple wavelet expansion. Zbl 0912.76057
Li, S.; Liu, W. K.
38
1998
Dynamic crack propagation in piezoelectric materials. I: Electrode solution. Zbl 1054.74715
Li, Shaofan; Mataga, Peter A.
35
1996
Reproducing kernel element method. IV: Globally compatible \(C^n\) (\(n\geqslant 1\)) triangular hierarchy. Zbl 1093.74064
Simkins, Daniel C. jun.; Li, Shaofan; Lu, Hongsheng; Liu, Wing Kam
33
2004
Reproducing kernel element method. III: Generalized enrichment and applications. Zbl 1060.74671
Lu, 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 1090.74698
Li, Shaofan; Liu, Wing Kam; Rosakis, Ares J.; Belytschko, Ted; Hao, Wei
30
2002
Mesh-free simulations of shear banding in large deformation. Zbl 0995.74082
Li, Shaofan; Hao, Wei; Liu, Wing Kam
28
2000
Numerical simulations of strain localization in inelastic solids using mesh-free methods. Zbl 1052.74618
Li, Shaofan; Liu, Wing Kam
28
2000
Invariant-conserving finite difference algorithms for the nonlinear Klein-Gordon equation. Zbl 0790.65101
Vu-Quoc, Loc; Li, Shaofan
25
1993
Dynamic crack propagation in piezoelectric materials. II: Vacuum solution. Zbl 1055.74556
Li, Shaofan; Mataga, Peter A.
24
1996
A circular inclusion in a finite domain. I: The Dirichlet-Eshelby problem. Zbl 1100.74009
Li, S.; Sauer, R.; Wang, G.
19
2005
A contact mechanics model for quasi-continua. Zbl 1194.74226
Sauer, Roger A.; Li, Shaofan
18
2007
On dual configurational forces. Zbl 1103.74013
Li, Shaofan; Gupta, Anurag
17
2006
Numerical manifold method based on the method of weighted residuals. Zbl 1109.74373
Li, S.; Cheng, Y.; Wu, Y.-F.
15
2005
Multiscale methods for mechanical science of complex materials: bridging from quantum to stochastic multiresolution continuum. Zbl 1197.74007
Liu, 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 1065.74061
Li, Shaofan; Liu, Wing-Kam; Qian, Dong; Guduru, Pradeep R.; Rosakis, Ares J.
13
2001
Multi-scale methods. Zbl 0976.74080
Liu, Wing Kam; Hao, Su; Belytschko, Ted; Li, Shaofan; Chang, Chin Tang
13
2000
On criteria for dynamic adiabatic shear band propagation. Zbl 1238.74024
Medyanik, Sergey N.; Liu, Wing Kam; Li, Shaofan
12
2007
A meshfree contact-detection algorithm. Zbl 0998.74081
Li, Shaofan; Qian, Dong; Liu, Wing Kam; Belytschko, Ted
12
2001
On saturation-strip model of a permeable crack in a piezoelectric ceramic. Zbl 1064.74155
Li, S.
11
2003
Parallel computation of meshless methods for explicit dynamic analysis. Zbl 0981.74078
Danielson, 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 0852.73030
Vu-Quoc, L.; Li, S.
11
1995
A multiscale cohesive zone model and simulations of fractures. Zbl 1227.74054
Zeng, Xiaowei; Li, Shaofan
10
2010
Conservation laws of linear elasticity in stress formulations. Zbl 1145.74315
Li, Shaofan; Gupta, Anurag; Markenscoff, Xanthippi
10
2005
An updated Lagrangian particle hydrodynamics (ULPH) for Newtonian fluids. Zbl 1380.76127
Tu, Qingsong; Li, Shaofan
9
2017
A peridynamics-SPH coupling approach to simulate soil fragmentation induced by shock waves. Zbl 1398.74395
Ren, 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 1253.74009
Li, 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 1195.74297
Qian, Dong; Eason, Thomas; Li, Shaofan; Liu, Wing Kam
8
2008
Meshfree simulations of thermo-mechanical ductile fracture. Zbl 1162.74052
Simkins, D. C.; Li, S.
8
2006
The effects of shear on delamination in layered materials. Zbl 1045.74595
Li, S.; Wang, J.; Thouless, M. D.
8
2004
A two-stage hybrid flowshop with uniform machines and setup times. Zbl 1185.90078
Huang, W.; Li, S.
8
1998
A cohesive finite element for quasi-continua. Zbl 1421.74097
Liu, Xiaohu; Li, Shaofan; Sheng, Ni
7
2008
Solution to line loading of a semi-infinite solid in gradient elasticity. Zbl 1071.74006
Li, S.; Miskioglu, I.; Altan, B. S.
7
2004
Mesh-free simulation of ductile fracture. Zbl 1060.74673
Simonsen, Bo Cerup; Li, Shaofan
7
2004
Error of partitioned Runge-Kutta methods for multiple stiff singular perturbation problems. Zbl 0956.65057
Xiao, A.; Li, S.
7
2000
The total and updated Lagrangian formulations of state-based peridynamics. Zbl 1398.74303
Bergel, Guy L.; Li, Shaofan
6
2016
Multiscale modeling and simulation of dynamic wetting. Zbl 1296.76085
Minaki, Hiroyuki; Li, Shaofan
6
2014
The composite Eshelby tensors and their applications to homogenization. Zbl 1144.74032
Sauer, R. A.; Wang, G.; Li, S.
6
2008
A new approach for calculating strain for particulate media. Zbl 1085.74502
O’Sullivan, Catherine; Bray, Jonathan D.; Li, Shaofan
6
2003
Lie-Poisson integration for rigid body dynamics. Zbl 0834.70006
Li, S.; Qin, Mengzhao
6
1995
Kronrod extension of Turán formula. Zbl 0724.65015
Li, S.
6
1994
An embedded atom hyperelastic constitutive model and multiscale cohesive finite element method. Zbl 1355.74072
He, Minghua; Li, Shaofan
5
2012
The micromechanic theory of classical plates: A congruous estimate of overall elastic stiffness. Zbl 0976.74041
Li, Shaofan
5
2000
A peridynamics-SPH modeling and simulation of blast fragmentation of soil under buried explosive loads. Zbl 1439.74187
Fan, Houfu; Li, Shaofan
4
2017
On multiscale moving contact line theory. Zbl 1371.76154
Li, Shaofan; Fan, Houfu
4
2015
A three-dimensional atomistic-based process zone model simulation of fragmentation in polycrystalline solids. Zbl 1352.74081
Ren, Bo; Li, Shaofan
4
2013
On multiscale non-equilibrium molecular dynamics simulations. Zbl 1197.82023
Li, Shaofan; Sheng, Ni
4
2010
Approximation of the solution and its derivative for the singularly perturbed Black-Scholes equation with nonsmooth initial data. Zbl 1210.91134
Li, 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 1231.74386
To, Albert C.; Li, Shaofan; Glaser, Steven D.
4
2006
Estimation of coefficients in a hyperbolic equation with impulsive inputs. Zbl 1111.35123
Li, S.
4
2006
On global energy release rate of a permeable crack in a piezoelectric ceramic. Zbl 1110.74554
Li, S.
4
2003
Conserving Galerkin weak formulations for computational fracture mechanics. Zbl 1205.74161
Li, Shaofan; Simkins, Daniel C. jun.
4
2002
Large-scale application of some modern CSM methodologies by parallel computation. Zbl 1003.68539
Danielson, K. T.; Uras, R. A.; Adley, M. D.; Li, S.
4
2000
Transient wave propagation in a transversely isotropic piezoelectric half-space. Zbl 1005.74032
Li, Shaofan
4
2000
On the micromechanics theory of Reissner-Mindlin plates. Zbl 0993.74034
Li, S.
4
2000
Determination of domains of attraction based on a sequence of maxima. Zbl 0884.62051
Wang, J. Z.; Cooke, P.; Li, S.
4
1996
Dynamics of delay-coupled Fitzhugh-Nagumo neural rings. Zbl 1390.34142
Mao, Xiaochen; Sun, Jianqiao; Li, Shaofan
3
2018
Meshfree simulations of spall fracture. Zbl 1225.74125
Ren, Bo; Li, Shaofan; Qian, Jing; Zeng, Xiaowei
3
2011
On configurational compatibility and multiscale energy momentum tensors. Zbl 1172.74004
Li, Shaofan; Linder, Christian; Foulk, James W. III
3
2007
On scattering in a piezoelectric medium by a conducting crack. Zbl 1111.74511
Li, Shaofan; To, Albert C.; Glaser, Steven D.
3
2005
On scattering in dissimilar piezoelectric materials by a semi-infinite interfacial crack. Zbl 1072.74041
To, Albert C.; Li, Shaofan; Glaser, Steven D.
3
2005
A polychromatic sets approach to the conceptual design of machine tools. Zbl 1068.90076
Xu, L.; Li, Z.; Li, S.; Tang, F.
3
2005
Reproducing kernel element interpolation: globally conforming \(I^m/C^n/P^k\) hierarchies. Zbl 1064.65009
Li, Shaofan; Simkins, Daniel C.; Lu, Hongsheng; Liu, Wing Kam
3
2005
On dual conservation laws in linear elasticity: stress function formalism. Zbl 1076.74004
Li, Shaofan
3
2004
Essential norm of weighted composition operators from analytic Besov spaces into Zygmund type spaces. Zbl 1426.30041
Hu, Q.; Li, S.; Zhang, Y.
2
2019
A beam formulation based on RKPM for the dynamic analysis of stiffened shell structures. Zbl 07024097
Peng, Y. X.; Zhang, A. M.; Li, S. F.; Ming, F. R.
2
2019
Prediction of mechanical gear mesh efficiency of hypoid gear pairs. Zbl 1203.70014
Kolivand, M.; Li, S.; Kahraman, A.
2
2010
On damage theory of a cohesive medium. Zbl 1211.74189
Li, Shaofan; Wang, Gang
2
2004
Effective elastic moduli of two-dimensional solids with distributed cohesive microcracks. Zbl 1063.74083
Li, Shaofan; Wang, Gang; Morgan, Elise
2
2004
A concurrent multiscale study of dynamic fracture. Zbl 1442.74022
Tong, Qi; Li, Shaofan
1
2020
An adaptive SVD-Krylov reduced order model for surrogate based structural shape optimization through isogeometric boundary element method. Zbl 1441.74187
Li, 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 07053715
Yang, H.; Cui, X. Y.; Li, S.; Bie, Y. H.
1
2019
Extreme equitable block colorings of \(C_4\)-decompositions of \(K_v-F\). Zbl 1404.05055
Li, S.; Matson, E. B.; Rodger, C. A.
1
2018
An atomistic-to-continuum molecular dynamics: theory, algorithm, and applications. Zbl 1436.82027
Li, Shaofan; Urata, Shingo
1
2016
Simulation on the interaction between multiple bubbles and free surface with viscous effects. Zbl 1403.76089
Li, S.; Ni, Bao-yu
1
2016
A three-dimensional surface stress tensor formulation for simulation of adhesive contact in finite deformation. Zbl 1352.74201
Fan, Houfu; Li, Shaofan
1
2016
An adhesive contact mechanics formulation based on atomistically induced surface traction. Zbl 1349.74274
Fan, Houfu; Ren, Bo; Li, Shaofan
1
2015
Particle method modeling of nonlocal multiresolution continua. Zbl 1342.76097
Dai, Zili; Bessa, Miguel A.; Li, Shaofan; Liu, Wing Kam
1
2015
Construct the stable vendor managed inventory partnership through a profit-sharing approach. Zbl 1317.90027
Li, S.; Yu, Z.; Dong, M.
1
2015
A non-equilibrium multiscale simulation of shock wave propagation. Zbl 1258.74120
Sheng, Ni; Li, Shaofan
1
2008
Smart element method. II: An element based on the finite Eshelby tensor. Zbl 1113.74081
Wang, Gang; Liu, Xiaohu; Li, Shaofan; Sitar, Nicholas
1
2005
Variational eigenstrain multiscale finite element method. Zbl 1134.74409
Li, 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 1090.76570
Zhang, 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 1031.74034
Li, Shaofan
1
2001
Estimation for type II domain of attraction based on the \(W\) statistic. Zbl 0962.62043
Hasofer, A. M.; Li, S.
1
1999
Tool condition monitoring in machining by fuzzy neural networks. Zbl 0875.93387
Li, S.; Elbestawi, M. A.
1
1996
\(h\)- and \(p\)-adaptive boundary element methods. Zbl 0770.65076
Ye, T. Q.; Zhang, Daming; Li, S.; Cheng, J. L.
1
1992
A concurrent multiscale study of dynamic fracture. Zbl 1442.74022
Tong, Qi; Li, Shaofan
1
2020
Essential norm of weighted composition operators from analytic Besov spaces into Zygmund type spaces. Zbl 1426.30041
Hu, Q.; Li, S.; Zhang, Y.
2
2019
A beam formulation based on RKPM for the dynamic analysis of stiffened shell structures. Zbl 07024097
Peng, 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 1441.74187
Li, 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 07053715
Yang, H.; Cui, X. Y.; Li, S.; Bie, Y. H.
1
2019
Dynamics of delay-coupled Fitzhugh-Nagumo neural rings. Zbl 1390.34142
Mao, Xiaochen; Sun, Jianqiao; Li, Shaofan
3
2018
Extreme equitable block colorings of \(C_4\)-decompositions of \(K_v-F\). Zbl 1404.05055
Li, S.; Matson, E. B.; Rodger, C. A.
1
2018
An updated Lagrangian particle hydrodynamics (ULPH) for Newtonian fluids. Zbl 1380.76127
Tu, Qingsong; Li, Shaofan
9
2017
A peridynamics-SPH modeling and simulation of blast fragmentation of soil under buried explosive loads. Zbl 1439.74187
Fan, Houfu; Li, Shaofan
4
2017
The total and updated Lagrangian formulations of state-based peridynamics. Zbl 1398.74303
Bergel, Guy L.; Li, Shaofan
6
2016
An atomistic-to-continuum molecular dynamics: theory, algorithm, and applications. Zbl 1436.82027
Li, Shaofan; Urata, Shingo
1
2016
Simulation on the interaction between multiple bubbles and free surface with viscous effects. Zbl 1403.76089
Li, S.; Ni, Bao-yu
1
2016
A three-dimensional surface stress tensor formulation for simulation of adhesive contact in finite deformation. Zbl 1352.74201
Fan, Houfu; Li, Shaofan
1
2016
A peridynamics-SPH coupling approach to simulate soil fragmentation induced by shock waves. Zbl 1398.74395
Ren, Bo; Fan, Houfu; Bergel, Guy L.; Regueiro, Richard A.; Lai, Xin; Li, Shaofan
9
2015
On multiscale moving contact line theory. Zbl 1371.76154
Li, Shaofan; Fan, Houfu
4
2015
An adhesive contact mechanics formulation based on atomistically induced surface traction. Zbl 1349.74274
Fan, Houfu; Ren, Bo; Li, Shaofan
1
2015
Particle method modeling of nonlocal multiresolution continua. Zbl 1342.76097
Dai, Zili; Bessa, Miguel A.; Li, Shaofan; Liu, Wing Kam
1
2015
Construct the stable vendor managed inventory partnership through a profit-sharing approach. Zbl 1317.90027
Li, S.; Yu, Z.; Dong, M.
1
2015
A numerical method for singularly perturbed turning point problems with an interior layer. Zbl 1291.65231
Geng, F. Z.; Qian, S. P.; Li, S.
42
2014
Multiscale modeling and simulation of dynamic wetting. Zbl 1296.76085
Minaki, Hiroyuki; Li, Shaofan
6
2014
A three-dimensional atomistic-based process zone model simulation of fragmentation in polycrystalline solids. Zbl 1352.74081
Ren, Bo; Li, Shaofan
4
2013
An atomistic-based interphase zone model for crystalline solids. Zbl 1253.74009
Li, 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 1355.74072
He, Minghua; Li, Shaofan
5
2012
Meshfree simulations of spall fracture. Zbl 1225.74125
Ren, 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 1197.74007
Liu, Wing Kam; Qian, Dong; Gonella, Stefano; Li, Shaofan; Chen, Wei; Chirputkar, Shardool
14
2010
A multiscale cohesive zone model and simulations of fractures. Zbl 1227.74054
Zeng, Xiaowei; Li, Shaofan
10
2010
On multiscale non-equilibrium molecular dynamics simulations. Zbl 1197.82023
Li, Shaofan; Sheng, Ni
4
2010
Prediction of mechanical gear mesh efficiency of hypoid gear pairs. Zbl 1203.70014
Kolivand, M.; Li, S.; Kahraman, A.
2
2010
Introduction to micromechanics and nanomechanics. Zbl 1169.74001
Li, Shaofan; Wang, Gang
41
2008
Meshfree simulation of failure modes in thin cylinders subjected to combined loads of internal pressure and localized heat. Zbl 1195.74297
Qian, Dong; Eason, Thomas; Li, Shaofan; Liu, Wing Kam
8
2008
A cohesive finite element for quasi-continua. Zbl 1421.74097
Liu, Xiaohu; Li, Shaofan; Sheng, Ni
7
2008
The composite Eshelby tensors and their applications to homogenization. Zbl 1144.74032
Sauer, R. A.; Wang, G.; Li, S.
6
2008
A non-equilibrium multiscale simulation of shock wave propagation. Zbl 1258.74120
Sheng, Ni; Li, Shaofan
1
2008
Finite-time stability of cascaded time-varying systems. Zbl 1117.93004
Li, S.; Tian, Y.-P.
40
2007
A contact mechanics model for quasi-continua. Zbl 1194.74226
Sauer, Roger A.; Li, Shaofan
18
2007
On criteria for dynamic adiabatic shear band propagation. Zbl 1238.74024
Medyanik, 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 1210.91134
Li, S.; Shishkin, G. I.; Shishkina, L. P.
4
2007
On configurational compatibility and multiscale energy momentum tensors. Zbl 1172.74004
Li, Shaofan; Linder, Christian; Foulk, James W. III
3
2007
On dual configurational forces. Zbl 1103.74013
Li, Shaofan; Gupta, Anurag
17
2006
Meshfree simulations of thermo-mechanical ductile fracture. Zbl 1162.74052
Simkins, D. C.; Li, S.
8
2006
Propagation of a mode-III interfacial conductive crack along a conductive interface between two piezoelectric materials. Zbl 1231.74386
To, Albert C.; Li, Shaofan; Glaser, Steven D.
4
2006
Estimation of coefficients in a hyperbolic equation with impulsive inputs. Zbl 1111.35123
Li, S.
4
2006
A circular inclusion in a finite domain. I: The Dirichlet-Eshelby problem. Zbl 1100.74009
Li, S.; Sauer, R.; Wang, G.
19
2005
Numerical manifold method based on the method of weighted residuals. Zbl 1109.74373
Li, S.; Cheng, Y.; Wu, Y.-F.
15
2005
Conservation laws of linear elasticity in stress formulations. Zbl 1145.74315
Li, Shaofan; Gupta, Anurag; Markenscoff, Xanthippi
10
2005
On scattering in a piezoelectric medium by a conducting crack. Zbl 1111.74511
Li, Shaofan; To, Albert C.; Glaser, Steven D.
3
2005
On scattering in dissimilar piezoelectric materials by a semi-infinite interfacial crack. Zbl 1072.74041
To, Albert C.; Li, Shaofan; Glaser, Steven D.
3
2005
A polychromatic sets approach to the conceptual design of machine tools. Zbl 1068.90076
Xu, L.; Li, Z.; Li, S.; Tang, F.
3
2005
Reproducing kernel element interpolation: globally conforming \(I^m/C^n/P^k\) hierarchies. Zbl 1064.65009
Li, Shaofan; Simkins, Daniel C.; Lu, Hongsheng; Liu, Wing Kam
3
2005
Smart element method. II: An element based on the finite Eshelby tensor. Zbl 1113.74081
Wang, Gang; Liu, Xiaohu; Li, Shaofan; Sitar, Nicholas
1
2005
Meshfree particle methods. Zbl 1073.65002
Li, Shaofan; Liu, Wing Kam
155
2004
Reproducing kernel element method. I: Theoretical formulation. Zbl 1060.74670
Liu, 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 1093.74062
Li, 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 1093.74064
Simkins, Daniel C. jun.; Li, Shaofan; Lu, Hongsheng; Liu, Wing Kam
33
2004
Reproducing kernel element method. III: Generalized enrichment and applications. Zbl 1060.74671
Lu, Hongsheng; Li, Shaofan; Simkins, Daniel C. jun.; Liu, Wing Kam; Cao, Jian
32
2004
The effects of shear on delamination in layered materials. Zbl 1045.74595
Li, S.; Wang, J.; Thouless, M. D.
8
2004
Solution to line loading of a semi-infinite solid in gradient elasticity. Zbl 1071.74006
Li, S.; Miskioglu, I.; Altan, B. S.
7
2004
Mesh-free simulation of ductile fracture. Zbl 1060.74673
Simonsen, Bo Cerup; Li, Shaofan
7
2004
On dual conservation laws in linear elasticity: stress function formalism. Zbl 1076.74004
Li, Shaofan
3
2004
On damage theory of a cohesive medium. Zbl 1211.74189
Li, Shaofan; Wang, Gang
2
2004
Effective elastic moduli of two-dimensional solids with distributed cohesive microcracks. Zbl 1063.74083
Li, Shaofan; Wang, Gang; Morgan, Elise
2
2004
Variational eigenstrain multiscale finite element method. Zbl 1134.74409
Li, Shaofan; Gupta, Anurag; Liu, Xiaohu; Mahyari, Morteza
1
2004
On saturation-strip model of a permeable crack in a piezoelectric ceramic. Zbl 1064.74155
Li, S.
11
2003
A new approach for calculating strain for particulate media. Zbl 1085.74502
O’Sullivan, Catherine; Bray, Jonathan D.; Li, Shaofan
6
2003
On global energy release rate of a permeable crack in a piezoelectric ceramic. Zbl 1110.74554
Li, S.
4
2003
Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition. Zbl 1090.74698
Li, Shaofan; Liu, Wing Kam; Rosakis, Ares J.; Belytschko, Ted; Hao, Wei
30
2002
Conserving Galerkin weak formulations for computational fracture mechanics. Zbl 1205.74161
Li, Shaofan; Simkins, Daniel C. jun.
4
2002
Survey of multi-scale meshfree particle methods. (With color plates 10-12, p. 465-468). Zbl 1090.76570
Zhang, 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 1065.74061
Li, Shaofan; Liu, Wing-Kam; Qian, Dong; Guduru, Pradeep R.; Rosakis, Ares J.
13
2001
A meshfree contact-detection algorithm. Zbl 0998.74081
Li, Shaofan; Qian, Dong; Liu, Wing Kam; Belytschko, Ted
12
2001
On diffraction in a piezoelectric medium by a half-plane: The Sommerfeld problem. Zbl 1031.74034
Li, Shaofan
1
2001
Numerical simulations of large deformation of thin shell structures using meshfree methods. Zbl 0978.74087
Li, S.; Hao, W.; Liu, W. K.
56
2000
Mesh-free simulations of shear banding in large deformation. Zbl 0995.74082
Li, Shaofan; Hao, Wei; Liu, Wing Kam
28
2000
Numerical simulations of strain localization in inelastic solids using mesh-free methods. Zbl 1052.74618
Li, Shaofan; Liu, Wing Kam
28
2000
Multi-scale methods. Zbl 0976.74080
Liu, Wing Kam; Hao, Su; Belytschko, Ted; Li, Shaofan; Chang, Chin Tang
13
2000
Parallel computation of meshless methods for explicit dynamic analysis. Zbl 0981.74078
Danielson, 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 0956.65057
Xiao, A.; Li, S.
7
2000
The micromechanic theory of classical plates: A congruous estimate of overall elastic stiffness. Zbl 0976.74041
Li, Shaofan
5
2000
Large-scale application of some modern CSM methodologies by parallel computation. Zbl 1003.68539
Danielson, K. T.; Uras, R. A.; Adley, M. D.; Li, S.
4
2000
Transient wave propagation in a transversely isotropic piezoelectric half-space. Zbl 1005.74032
Li, Shaofan
4
2000
On the micromechanics theory of Reissner-Mindlin plates. Zbl 0993.74034
Li, S.
4
2000
Reproducing kernel hierarchical partition of unity. I: Formulation and theory. II: Applications. Zbl 0945.74079
Li, Shaofan; Liu, Wing Kam
52
1999
Estimation for type II domain of attraction based on the \(W\) statistic. Zbl 0962.62043
Hasofer, A. M.; Li, S.
1
1999
Symmetric weak-form integral equation method for three-dimensional fracture analysis. Zbl 0906.73074
Li, S.; Mear, M. E.; Xiao, L.
43
1998
Synchronized reproducing kernel interpolant via multiple wavelet expansion. Zbl 0912.76057
Li, S.; Liu, W. K.
38
1998
A two-stage hybrid flowshop with uniform machines and setup times. Zbl 1185.90078
Huang, W.; Li, S.
8
1998
Moving least-square reproducing kernel methods. I: Methodology and convergence. Zbl 0883.65088
Liu, Wing Kam; Li, Shaofan; Belytschko, Ted
203
1997
Moving least-square reproducing kernel method. II: Fourier analysis. Zbl 0883.65089
Li, Shaofan; Liu, Wing Kam
56
1996
Dynamic crack propagation in piezoelectric materials. I: Electrode solution. Zbl 1054.74715
Li, Shaofan; Mataga, Peter A.
35
1996
Dynamic crack propagation in piezoelectric materials. II: Vacuum solution. Zbl 1055.74556
Li, Shaofan; Mataga, Peter A.
24
1996
Determination of domains of attraction based on a sequence of maxima. Zbl 0884.62051
Wang, J. Z.; Cooke, P.; Li, S.
4
1996
Tool condition monitoring in machining by fuzzy neural networks. Zbl 0875.93387
Li, S.; Elbestawi, M. A.
1
1996
Reproducing kernel particle methods for structural dynamics. Zbl 0840.73078
Liu, 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 0847.65062
Li, S.; Vu-Quoc, L.
110
1995
Dynamics of sliding geometrically-exact beams: Large angle maneuver and parametric resonance. Zbl 0852.73030
Vu-Quoc, L.; Li, S.
11
1995
Lie-Poisson integration for rigid body dynamics. Zbl 0834.70006
Li, S.; Qin, Mengzhao
6
1995
Kronrod extension of Turán formula. Zbl 0724.65015
Li, S.
6
1994
Invariant-conserving finite difference algorithms for the nonlinear Klein-Gordon equation. Zbl 0790.65101
Vu-Quoc, Loc; Li, Shaofan
25
1993
\(h\)- and \(p\)-adaptive boundary element methods. Zbl 0770.65076
Ye, T. Q.; Zhang, Daming; Li, S.; Cheng, J. L.
1
1992
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