Edit Profile (opens in new tab) Belytschko, Ted Bohdan Compute Distance To: Compute Author ID: belytschko.ted Published as: Belytschko, Ted; Belytschko, T.; Belytschko, T. B.; Beltytschko, Ted more...less External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 315 Publications since 1968, including 3 Books 5 Contributions as Editor Biographic References: 2 Publications Co-Authors: 180 Co-Authors with 291 Joint Publications 3,998 Co-Co-Authors all top 5 Co-Authors 6 single-authored 54 Liu, Wing Kam 17 Stolarski, Henryk K. 15 Moës, Nicolas 12 Gracie, Robert 12 Song, Jeong-Hoon 10 Areias, Pedro M. A. 9 Chessa, Jack 9 Krongauz, Yury 9 Krysl, Petr 9 Rabczuk, Timon 8 Dolbow, John E. 8 Fish, Jacob 8 Moran, Brian 7 Duan, Qinglin 7 Menouillard, Thomas 7 Smolinski, Patrick 7 Ventura, Giulio 7 Wang, Hongwu 6 Carpenter, Nicholas J. 6 Chen, Jiun-Shyan 6 Sukumar, Natarajan 6 Xiao, Shaoping 5 Fries, Thomas-Peter 5 Hughes, Thomas J. R. 5 Lasry, David 5 Lee, Sangho 5 Li, Shaofan 5 Ong, Jame Shau-Jen 5 Organ, Daniel 5 Oswald, Jay 5 Tabbara, Mazen R. 4 Bachrach, William E. 4 Blacker, Ted D. 4 Flanagan, D. P. 4 Kennedy, James M. 4 Neal, Mark O. 4 Plaskacz, Edward J. 4 Tsay, Chen-Shyh 4 Xu, Jingxiao 4 Yoon, Young-Cheol 4 Zhang, Yifei 4 Zi, Goangseup 3 Arroyo, Marino 3 Bayliss, Alvin 3 Besterfield, Glen H. 3 Budyn, Elisa 3 Engelmann, Bruce E. 3 Fleming, Mark 3 Guo, Yong 3 Khare, Roopam 3 Lam, Dennis 3 Li, Xikui 3 Lin, Jerry I. 3 Löhnert, Stefan 3 Parimi, Chandu 3 Wong, Bak Leong 3 Xu, Mei 3 Zhang, Hongwu 2 Bazilevs, Yuri 2 Beissel, Stephen R. 2 Benson, David J. 2 Bindeman, Lee P. 2 Chang, Chin Tang 2 Chang, Herman 2 Chiang, Huai-Yang 2 Chopp, David L. 2 Daniel, William John Trevor 2 De Luycker, E. 2 Donea, Jean 2 Elkhodary, Khalil I. 2 Gerlach, Christian 2 Glaum, Lawrence W. 2 Gravouil, Anthony 2 Guidault, Pierre-Alain 2 Hao, Su 2 Holmes, Nancy D. 2 Hsu, Ming-Chen 2 Jun, Sukky 2 Kim, Do Wan 2 Li, Guangyao 2 Liu, Zhanli 2 Lua, Yuan Jie 2 Mindle, Wayne Louis 2 Oden, John Tinsley 2 Ponthot, Jean-Philippe 2 Samaniego, Esteban P. 2 To, Albert C. 2 Usui, Shuji 2 Wang, Xiaojun 1 Adee, Jonathan 1 Babuška, Ivo 1 Bauer, Günther 1 Bazant, Zdenek Pavel 1 Bessa, Miguel A. 1 Challoner, A. Dorian 1 Chen, Wei 1 Chen, Yijung 1 Chung, Jaehyun 1 Chung, W. J. 1 Chung, Yip-Wah ...and 80 more Co-Authors all top 5 Serials 116 International Journal for Numerical Methods in Engineering 75 Computer Methods in Applied Mechanics and Engineering 25 Computers and Structures 15 Computational Mechanics 8 International Journal of Solids and Structures 7 Journal of Applied Mechanics 5 International Journal of Fracture 3 Journal of the Mechanics and Physics of Solids 3 Finite Elements in Analysis and Design 2 Computers & Mathematics with Applications 2 Communications in Applied Numerical Methods 2 Communications in Numerical Methods in Engineering 2 Engineering Computations 2 International Journal of Computational Methods 2 AMD-Volumes 1 Acta Mechanica 1 International Journal for Numerical Methods in Fluids 1 International Journal of Plasticity 1 Journal of Computational Physics 1 Wave Motion 1 Journal of Computational and Applied Mathematics 1 Meccanica 1 Mechanics Research Communications 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Computational Mechanics Advances 1 Revue Européenne des Éléments Finis 1 Engineering Computations 1 Advances in Computational Mathematics 1 Mechanics and Mathematical Methods. First Series: Computational Methods in Mechanics 1 IUTAM Bookseries 1 European Journal of Computational Mechanics all top 5 Fields 285 Mechanics of deformable solids (74-XX) 64 Numerical analysis (65-XX) 25 Fluid mechanics (76-XX) 18 Partial differential equations (35-XX) 5 General and overarching topics; collections (00-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Ordinary differential equations (34-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 297 Publications have been cited 17,564 times in 7,001 Documents Cited by ▼ Year ▼ Element-free Galerkin methods. Zbl 0796.73077Belytschko, T.; Lu, Y. Y.; Gu, L. 1,538 1994 A finite element method for crack growth without remeshing. Zbl 0955.74066Moës, Nicolas; Dolbow, John; Belytschko, Ted 1,169 1999 Meshless methods: An overview and recent developments. Zbl 0891.73075Belytschko, T.; Krongauz, Y.; Organ, D.; Fleming, M.; Krysl, P. 884 1996 Elastic crack growth in finite elements with minimal remeshing. Zbl 0943.74061Belytschko, T.; Black, T. 744 1999 Nonlinear finite elements for continua and structures. Zbl 0959.74001Belytschko, Ted; Liu, Wing Kam; Moran, Brian 480 2000 The extended/generalized finite element method: an overview of the method and its applications. Zbl 1202.74169Fries, Thomas-Peter; Belytschko, Ted 389 2010 Arbitrary discontinuities in finite elements. Zbl 0981.74062Belytschko, T.; Moës, N.; Usui, S.; Parimi, C. 296 2001 Modeling holes and inclusions by level sets in the extended finite element method. Zbl 1029.74049Sukumar, N.; Chopp, D. L.; Moës, N.; Belytschko, T. 286 2001 Reproducing kernel particle methods for structural dynamics. Zbl 0840.73078Liu, Wing Kam; Jun, Sukky; Li, Shaofan; Adee, Jonathan; Belytschko, Ted 282 1995 Non-planar 3D crack growth by the extended finite element and level sets. I: Mechanical model. II: Level set update. Zbl 1169.74621Moës, N.; Gravouil, A.; Belytschko, T. 259 2002 Extended finite element method for three-dimensional crack modelling. Zbl 0963.74067Sukumar, N.; Moës, N.; Moran, B.; Belytschko, T. 238 2000 A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. Zbl 0478.73049Flanagan, D. P.; Belytschko, T. 228 1981 A new implementation of the element free Galerkin method. Zbl 0847.73064Lu, Y. Y.; Belytschko, T.; Gu, L. 211 1994 Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Zbl 1075.74703Rabczuk, T.; Belytschko, T. 205 2004 Arbitrary branched and intersecting cracks with the extended finite element method. Zbl 0989.74066Daux, Christophe; Moës, Nicolas; Dolbow, John; Sukumar, Natarajan; Belytschko, Ted 201 2000 Moving least-square reproducing kernel methods. I: Methodology and convergence. Zbl 0883.65088Liu, Wing Kam; Li, Shaofan; Belytschko, Ted 198 1997 Nodal integration of the element-free Galerkin method. Zbl 0918.73329Beissel, Stephen; Belytschko, Ted 192 1996 The natural element method in solid mechanics. Zbl 0940.74078Sukumar, N.; Moran, B.; Belytschko, T. 184 1998 Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Zbl 1079.74599Guest, J. K.; Prst, J. H.; Belytschko, T. 176 2004 A bridging domain method for coupling continua with molecular dynamics. Zbl 1079.74509Xiao, S. P.; Belytschko, T. 166 2004 A coupled finite element – element-free Galerkin method. Zbl 0840.73058Belytschko, T.; Organ, D.; Krongauz, Y. 155 1995 A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Zbl 1128.74051Rabczuk, T.; Belytschko, T. 150 2007 An extended finite element method for modeling crack growth with frictional contact. Zbl 1033.74042Dolbow, John; Moës, Nicolas; Belytschko, Ted 137 2001 Stable particle methods based on Lagrangian kernels. Zbl 1060.74672Rabczuk, T.; Belytschko, T.; Xiao, S. P. 136 2004 Hourglass control in linear and nonlinear problems. Zbl 0522.73063Belytschko, Ted; Ong, Jame Shau-Jen; Liu, Wing Kam; Kennedy, James M. 131 1984 Modelling crack growth by level sets in the extended finite element method. Zbl 1022.74049Stolarska, M.; Chopp, D. L.; Moës, N.; Belytschko, T. 130 2001 Stress projection for membrane and shear locking in shell finite elements. Zbl 0581.73091Belytschko, Ted; Stolarski, Henryk; Liu, Wing Kam; Carpenter, Nicholas; Ong, Jame Shau-Jen 129 1985 Element-free Galerkin methods for static and dynamic fracture. Zbl 0918.73268Belytschko, T.; Lu, Y. Y.; Gu, L.; Tabbara, M. 128 1995 Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment. Zbl 1032.74662Belytschko, Ted; Chen, Hao; Xu, Jingxiao; Zi, Goangseup 123 2003 Numerical integration of the Galerkin weak form in meshfree methods. Zbl 0963.74076Dolbow, J.; Belytschko, T. 122 1999 An extended finite element method for two-phase fluids. Zbl 1110.74391Chessa, J.; Belytschko, T. 122 2003 On the construction of blending elements for local partition of unity enriched finite elements. Zbl 1035.65122Chessa, Jack; Wang, Hongwu; Belytschko, Ted 121 2003 A method for dynamic crack and shear band propagation with phantom nodes. Zbl 1113.74078Song, Jeong-Hoon; Areias, Pedro M. A.; Belytschko, Ted 119 2006 A unified stability analysis of meshless particle methods. Zbl 0972.74078Belytschko, Ted; Guo, Yong; Liu, Wing Kam; Xiao, Shao Ping 116 2000 Enforcement of essential boundary conditions in meshless approximations using finite elements. Zbl 0881.65098Krongauz, Y.; Belytschko, T. 114 1996 A meshfree thin shell method for nonlinear dynamic fracture. Zbl 1194.74537Rabczuk, T.; Areias, P. M. A.; Belytschko, T. 107 2007 Nonlinear finite elements for continua and structures. 2nd updated and extended ed. Zbl 1279.74002Belytschko, Ted; Liu, Wing Kam; Moran, Brian; Elkhodary, Khalil 107 2013 Dynamic fracture using element-free Galerkin methods. Zbl 0953.74077Belytschko, T.; Tabbara, M. 103 1996 Random field finite elements. Zbl 0597.73075Liu, Wing Kam; Belytschko, Ted; Mani, A. 98 1986 Analysis of thin shells by the element-free Galerkin method. Zbl 0929.74126Krysl, Petr; Belytschko, Ted 97 1996 New crack-tip elements for XFEM and applications to cohesive cracks. Zbl 1062.74633Zi, Goangseup; Belytschko, Ted 96 2003 Fast integration and weight function blending in the extended finite element method. Zbl 1195.74201Ventura, Giulio; Gracie, Robert; Belytschko, Ted 95 2009 A vector level set method and new discontinuity approximations for crack growth by EFG. Zbl 1034.74053Ventura, G.; Xu, J. X.; Belytschko, T. 95 2002 Efficient implementation of quadrilaterals with high coarse-mesh accuracy. Zbl 0579.73075Belytschko, Ted; Bachrach, William E. 94 1986 Discontinuous enrichment in finite elements with a partition of unity method. Zbl 0981.74057Dolbow, J.; Moës, N.; Belytschko, T. 93 2000 Non-linear transient finite element analysis with convected co-ordinates. Zbl 0265.73062Belytschko, T.; Hsieh, B. J. 92 1973 A finite element with embedded localization zones. Zbl 0653.73032Belytschko, Ted; Fish, Jacob; Engelmann, Bruce E. 91 1988 Analysis of thin plates by the element-free Galerkin method. Zbl 0841.73064Krysl, P.; Belytschko, T. 90 1995 A generalized finite element formulation for arbitrary basis functions: from isogeometric analysis to XFEM. Zbl 1197.74177Benson, D. J.; Bazilevs, Y.; De Luycker, E.; Hsu, M.-C.; Scott, M.; Hughes, T. J. R.; Belytschko, T. 90 2010 The extended finite element method (XFEM) for solidification problems. Zbl 1003.80004Chessa, Jack; Smolinski, Patrick; Belytschko, Ted 89 2002 Smoothing and accelerated computations in the element free Galerkin method. Zbl 0862.73058Belytschko, Ted; Krongauz, Yury; Fleming, Mark; Organ, Daniel; Liu, Wing Kam Snm 87 1996 Adaptivity for structured meshfree particle methods in 2D and 3D. Zbl 1145.74041Rabczuk, T.; Belytschko, T. 86 2005 Structured extended finite element methods for solids defined by implicit surfaces. Zbl 1038.74041Belytschko, Ted; Parimi, Chandu; Moës, Nicolas; Sukumar, N.; Usui, Shuji 82 2003 Continuous meshless approximations for nonconvex bodies by diffraction and transparency. Zbl 0864.73076Organ, D.; Fleming, M.; Terry, T.; Belytschko, T. 77 1996 On the completeness of meshfree particle methods. Zbl 0939.74076Belytschko, T.; Krongauz, Y.; Dolbow, J.; Gerlach, C. 77 1998 Multiscale aggregating discontinuities: a method for circumventing loss of material stability. Zbl 1195.74008Belytschko, Ted; Loehnert, Stefan; Song, Jeong-Hoon 76 2008 Topology optimization with implicit functions and regularization. Zbl 1062.74583Belytschko, T.; Xiao, S. P.; Parimi, C. 74 2003 Contact-impact by the pinball algorithm with penalty and Lagrangian methods. Zbl 0825.73984Belytschko, Ted; Neal, Mark O. 73 1991 An extended finite element method with higher-order elements for curved cracks. Zbl 1038.74651Stazi, F. L.; Budyn, E.; Chessa, J.; Belytschko, T. 71 2003 An atomistic-based finite deformation membrane for single layer crystalline films. Zbl 1006.74061Arroyo, Marino; Belytschko, Ted 69 2002 Consistent pseudo-derivatives in meshless methods. Zbl 0894.73156Krongauz, Y.; Belytschko, T. 67 1997 Localization limiters in transient problems. Zbl 0636.73021Lasry, David; Belytschko, Ted 67 1988 Assumed strain stabilization of the eight node hexahedral element. Zbl 0781.73061Belytschko, Ted; Bindeman, Lee P. 66 1993 Analysis of three-dimensional crack initiation and propagation using the extended finite element method. Zbl 1122.74498Areias, Pedro M. A.; Belytschko, Ted 65 2005 The element free Galerkin method for dynamic propagation of arbitrary 3-D cracks. Zbl 0953.74078Krysl, Petr; Belytschko, Ted 64 1999 Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua. Zbl 0626.73076Liu, Wing Kam; Chang, Herman; Chen, Jiun-Shyan; Belytschko, Ted 64 1988 Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear problems. Zbl 0742.73019Belytschko, T.; Bindeman, L. P. 64 1991 A stabilization procedure for the quadrilateral plate element with one- point quadrature. Zbl 0502.73058Belytschko, Ted; Tsay, Chen-Shyh 63 1983 Stability of explicit-implicit mesh partitions in time integration. Zbl 0398.65059Belytschko, Ted; Mullen, Robert 63 1978 A précis of developments in computational methods for transient analysis. Zbl 0533.73002Hughes, T. J. R.; Belytschko, T. 62 1983 Explicit algorithms for the nonlinear dynamics of shells. Zbl 0512.73073Beltytschko, Ted; Lin, Jerry I.; Tsay, Chen-Shyh 62 1984 X-FEM in isogeometric analysis for linear fracture mechanics. Zbl 1242.74105De Luycker, E.; Benson, D. J.; Belytschko, T.; Bazilevs, Y.; Hsu, M. C. 62 2011 The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns. Zbl 1129.74045Fries, Thomas-Peter; Belytschko, Ted 61 2006 Shear and membrane locking in curved \(C^ 0\) elements. Zbl 0509.73072Stolarski, Henryk; Belytschko, Ted 61 1983 Immersed particle method for fluid-structure interaction. Zbl 1183.74367Rabczuk, Timon; Gracie, Robert; Song, Jeong-Hoon; Belytschko, Ted 60 2010 An enriched finite element method and level sets for axisymmetric two-phase flow with surface tension. Zbl 1032.76591Chessa, Jack; Belytschko, Ted 59 2003 A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam 59 2014 Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods. Zbl 1195.74175Gracie, Robert; Wang, Hongwu; Belytschko, Ted 58 2008 EFG approximation with discontinuous derivatives. Zbl 0906.73063Krongauz, Y.; Belytschko, T. 58 1998 Physical stabilization of the 4-node shell element with one point quadrature. Zbl 0846.73058Belytschko, Ted; Leviathan, Itai 57 1994 Superconvergent patch recovery with equilibrium and conjoint interpolant enhancements. Zbl 0789.73064Blacker, Ted; Belytschko, Ted 54 1994 An error estimate in the EFG method. Zbl 0910.73060Chung, H.-J.; Belytschko, T. 54 1998 Element-free Galerkin method for wave propagation and dynamic fracture. Zbl 1067.74599Lu, Y. Y.; Belytschko, T.; Tabbara, M. 53 1995 The extended finite element method for rigid particles in Stokes flow. Zbl 0998.76054Wagner, G. J.; Moës, N.; Liu, W. K.; Belytschko, T. 52 2001 Regularization of material instabilities of meshfree approximations with intrinsic length scales. Zbl 0987.74079Chen, Jiun-Shyan; Wu, Cheng-Tang; Belytschko, Ted 52 2000 An Eulerian-Lagrangian method for fluid-structure interaction based on level sets. Zbl 1119.74053Legay, A.; Chessa, J.; Belytschko, T. 51 2006 Mixed methods for time integration. Zbl 0403.73002Belytschko, T.; Yen, H.-J.; Mullen, R. 51 1979 Probabilistic finite elements for nonlinear structural dynamics. Zbl 0576.73066Liu, Wing Kam; Belytschko, Ted; Mani, A. 49 1986 Vector level sets for description of propagating cracks in finite elements. Zbl 1032.74687Ventura, G.; Budyn, E.; Belytschko, T. 49 2003 Modeling fracture in Mindlin-Reissner plates with the extended finite element method. Zbl 0993.74061Dolbow, John; Moës, Nicolas; Belytschko, Ted 48 2000 A comparative study on finite element methods for dynamic fracture. Zbl 1160.74048Song, Jeong-Hoon; Wang, Hongwu; Belytschko, Ted 48 2008 A method for multiple crack growth in brittle materials without remeshing. Zbl 1075.74638Budyn, É.; Zi, G.; Moës, N.; Belytschko, T. 47 2004 Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions. Zbl 0918.73125Krysl, Petr; Belytschko, Ted 47 1997 Dispersion analysis of finite element semidiscretizations of the two- dimensional wave equation. Zbl 0466.73102Mullen, Robert; Belytschko, Ted 47 1982 Membrane locking and reduced integration for curved elements. Zbl 0482.73060Stolarski, H.; Belytschko, T. 47 1982 Advances in multiple scale kernel particle methods. Zbl 0868.73091Liu, W. K.; Chen, Y.; Chang, C. T.; Belytschko, T. 46 1996 Resultant-stress degenerated-shell element. Zbl 0587.73113Liu, Wing K.; Law, E. S.; Lam, D.; Belytschko, T. 44 1986 A first course in finite elements. With CD-ROM. Zbl 1135.74001Fish, Jacob; Belytschko, Ted 44 2007 An arbitrary Lagrangian-Eulerian finite element method for path-dependent materials. Zbl 0585.73117Liu, Wing Kam; Belytschko, Ted; Chang, Herman 43 1986 Numerical methods for the limit analysis of plates. Zbl 0172.52003Hodge, Philip G. jun.; Belytschko, T. 43 1968 A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam 59 2014 Consistent element-free Galerkin method. Zbl 1352.65493Duan, Qinglin; Gao, Xin; Wang, Bingbing; Li, Xikui; Zhang, Hongwu; Belytschko, Ted; Shao, Yulong 15 2014 A regularized phenomenological multiscale damage model. Zbl 1352.74024Liu, Yang; Filonova, Vasilina; Hu, Nan; Yuan, Zifeng; Fish, Jacob; Yuan, Zheng; Belytschko, Ted 6 2014 Quadratically consistent integration schemes for the element-free Galerkin method. Zbl 1292.65125Duan, Q.; Li, X.; Zhang, H.; Belytschko, T. 1 2014 Nonlinear finite elements for continua and structures. 2nd updated and extended ed. Zbl 1279.74002Belytschko, Ted; Liu, Wing Kam; Moran, Brian; Elkhodary, Khalil 107 2013 Archetype-blending continuum theory. Zbl 1297.74087Elkhodary, Khalil I.; Steven Greene, M.; Tang, Shan; Belytschko, Ted; Liu, Wing K. 3 2013 XFEM modeling of ultrasonic wave propagation in polymer matrix particulate/fibrous composites. Zbl 1454.76056Liu, Zhanli; Oswald, Jay; Belytschko, Ted 2 2013 Second-order accurate derivatives and integration schemes for meshfree methods. Zbl 1352.65390Duan, Qinglin; Li, Xikui; Zhang, Hongwu; Belytschko, Ted 39 2012 Adaptive atomistic-to-continuum modeling of propagating defects. Zbl 1352.74412Moseley, Philip; Oswald, Jay; Belytschko, Ted 5 2012 X-FEM in isogeometric analysis for linear fracture mechanics. Zbl 1242.74105De Luycker, E.; Benson, D. J.; Belytschko, T.; Bazilevs, Y.; Hsu, M. C. 62 2011 An XFEM/spectral element method for dynamic crack propagation. Zbl 1283.74096Liu, Z. L.; Menouillard, T.; Belytschko, T. 9 2011 An adaptive concurrent multiscale method for the dynamic simulation of dislocations. Zbl 1216.74021Gracie, Robert; Belytschko, Ted 8 2011 Analysis and computations of oscillating crack propagation in a heated strip. Zbl 1282.74079Menouillard, Thomas; Belytschko, Ted 3 2011 A higher-order extended finite element method for dislocation energetics in strained layers and epitaxial islands. Zbl 1217.74132Oswald, Jay; Wintersberger, Eugen; Bauer, Günther; Belytschko, Ted 2 2011 The extended/generalized finite element method: an overview of the method and its applications. Zbl 1202.74169Fries, Thomas-Peter; Belytschko, Ted 389 2010 A generalized finite element formulation for arbitrary basis functions: from isogeometric analysis to XFEM. Zbl 1197.74177Benson, D. J.; Bazilevs, Y.; De Luycker, E.; Hsu, M.-C.; Scott, M.; Hughes, T. J. R.; Belytschko, T. 90 2010 Immersed particle method for fluid-structure interaction. Zbl 1183.74367Rabczuk, Timon; Gracie, Robert; Song, Jeong-Hoon; Belytschko, Ted 60 2010 Coarse-graining of multiscale crack propagation. Zbl 1183.74260Belytschko, Ted; Song, Jeong-Hoon 38 2010 Robust and provably second-order explicit-explicit and implicit-explicit staggered time-integrators for highly nonlinear compressible fluid-structure interaction problems. Zbl 1202.74167Farhat, C.; Rallu, A.; Wang, K.; Belytschko, T. 32 2010 A new support integration scheme for the weakform in mesh-free methods. Zbl 1188.74084Liu, Yan; Belytschko, Ted 19 2010 Dynamic fracture with meshfree enriched XFEM. Zbl 1272.74604Menouillard, Thomas; Belytschko, Ted 15 2010 Time dependent crack tip enrichment for dynamic crack propagation. Zbl 1425.74442Menouillard, Thomas; Song, Jeong-Hoon; Duan, Qinglin; Belytschko, Ted 12 2010 Smoothed nodal forces for improved dynamic crack propagation modeling in XFEM. Zbl 1202.74181Menouillard, Thomas; Belytschko, Ted 9 2010 A continuum-to-atomistic bridging domain method for composite lattices. Zbl 1183.74012Xu, Mei; Gracie, Robert; Belytschko, Ted 8 2010 Concurrent coupling of atomistic and continuum models. Zbl 1221.82036Belytschko, Ted; Gracie, Robert; Xu, Mei 1 2010 Fast methods for determining instabilities of elastic – plastic damage models through closed-form expressions. Zbl 1202.74154Xue, Liang; Belytschko, Ted 1 2010 Fast integration and weight function blending in the extended finite element method. Zbl 1195.74201Ventura, Giulio; Gracie, Robert; Belytschko, Ted 95 2009 Cracking node method for dynamic fracture with finite elements. Zbl 1155.74415Song, Jeong-Hoon; Belytschko, Ted 37 2009 The extended finite element method for fracture in composite materials. Zbl 1257.74153Huynh, D. B. P.; Belytschko, T. 21 2009 Concurrently coupled atomistic and XFEM models for dislocations and cracks. Zbl 1183.74278Gracie, Robert; Belytschko, Ted 20 2009 Gradient and dilatational stabilizations for stress-point integration in the element-free Galerkin method. Zbl 1156.74393Duan, Qinglin; Belytschko, Ted 18 2009 Element-local level set method for three-dimensional dynamic crack growth. Zbl 1183.74269Duan, Qinglin; Song, Jeong-Hoon; Menouillard, Thomas; Belytschko, Ted 16 2009 Bridging domain methods for coupled atomistic-continuum models with \(L^2\) or \(H^1\) couplings. Zbl 1158.74309Guidault, P.-A.; Belytschko, T. 14 2009 Fluid – structure interaction by the discontinuous-Galerkin method for large deformations. Zbl 1195.74204Wang, Hongwu; Belytschko, Ted 13 2009 Thermal softening induced plastic instability in rate-dependent materials. Zbl 1252.74019Ling, Xianwu; Belytschko, T. 9 2009 An extended finite element method for dislocations in complex geometries: thin films and nanotubes. Zbl 1227.74085Oswald, Jay; Gracie, Robert; Khare, Roopam; Belytschko, Ted 8 2009 Correction force for releasing crack tip element with XFEM and only discontinuous enrichment. How to smoothly release the crack tip element with only discontinuous enrichment in XFEM? Zbl 1278.74176Menouillard, Thomas; Belytschko, Ted 5 2009 Multiscale aggregating discontinuities: a method for circumventing loss of material stability. Zbl 1195.74008Belytschko, Ted; Loehnert, Stefan; Song, Jeong-Hoon 76 2008 Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods. Zbl 1195.74175Gracie, Robert; Wang, Hongwu; Belytschko, Ted 58 2008 A comparative study on finite element methods for dynamic fracture. Zbl 1160.74048Song, Jeong-Hoon; Wang, Hongwu; Belytschko, Ted 48 2008 Convergence and stabilization of stress-point integration in mesh-free and particle methods. Zbl 1158.74525Fries, Thomas-Peter; Belytschko, Ted 26 2008 The immersed/fictitious element method for fluid-structure interaction: Volumetric consistency, compressibility and thin members. Zbl 1159.74437Wang, Hongwu; Chessa, Jack; Liu, Wing K.; Belytschko, Ted 25 2008 Parametric enrichment adaptivity by the extended finite element method. Zbl 1159.74436Waisman, Haim; Belytschko, Ted 21 2008 Conservation properties of the bridging domain method for coupled molecular/continuum dynamics. Zbl 1195.74303Xu, Mei; Belytschko, Ted 19 2008 On a new extended finite element method for dislocations: Core enrichment and nonlinear formulation. Zbl 1162.74464Gracie, Robert; Oswald, Jay; Belytschko, Ted 13 2008 Multiscale coupling schemes spanning the quantum mechanical, atomistic forcefield, and continuum regimes. Zbl 1159.74302Khare, Roopam; Mielke, Steven L.; Schatz, George C.; Belytschko, Ted 7 2008 Materials integrity in microsystems: a framework for a petascale predictive-science-based multiscale modeling and simulation system. Zbl 1421.74084To, Albert C.; Liu, Wing Kam; Olson, Gregory B.; Belytschko, Ted; Chen, Wei; Shephard, Mark S.; Chung, Yip-Wah; Ghanem, Roger; Voorhees, Peter W.; Seidman, David N.; Wolverton, Chris; Chen, J. S.; Moran, Brian; Freeman, Arthur J.; Tian, Rong; Luo, Xiaojuan; Lautenschlager, Eric; Challoner, A. Dorian 6 2008 A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Zbl 1128.74051Rabczuk, T.; Belytschko, T. 150 2007 A meshfree thin shell method for nonlinear dynamic fracture. Zbl 1194.74537Rabczuk, T.; Areias, P. M. A.; Belytschko, T. 107 2007 A first course in finite elements. With CD-ROM. Zbl 1135.74001Fish, Jacob; Belytschko, Ted 44 2007 A simplified mesh-free method for shear bands with cohesive surfaces. Zbl 1194.74536Rabczuk, T.; Areias, P. M. A.; Belytschko, T. 40 2007 A multiscale projection method for macro/microcrack simulations. Zbl 1194.74436Loehnert, Stefan; Belytschko, Ted 40 2007 On the \(L^{2}\) and the \(H^{1}\) couplings for an overlapping domain decomposition method using Lagrange multipliers. Zbl 1194.74555Guidault, P.-A.; Belytschko, T. 35 2007 A bridging domain and strain computation method for coupled atomistic-continuum modelling of solids. Zbl 1194.74491Zhang, Sulin; Khare, Roopam; Lu, Qiang; Belytschko, Ted 30 2007 On XFEM applications to dislocations and interfaces. Zbl 1126.74046Belytschko, Ted; Gracie, Robert 24 2007 A new fast finite element method for dislocations based on interior discontinuities. Zbl 1194.74402Gracie, Robert; Ventura, Giulio; Belytschko, Ted 23 2007 Extrinsic meshfree approximation using asymptotic expansion for interfacial discontinuity of derivative. Zbl 1110.65110Kim, Do Wan; Yoon, Young-Cheol; Liu, Wing Kam; Belytschko, Ted 20 2007 Meshfree point collocation method with intrinsic enrichment for interface problems. Zbl 1161.74053Kim, Do Wan; Liu, Wing Kam; Yoon, Young-Cheol; Belytschko, Ted; Lee, Sang-Ho 19 2007 Immersed electrokinetic finite element method. Zbl 1194.76126Liu, Yaling; Liu, Wing Kam; Belytschko, Ted; Patankar, Neelesh; To, Albert C.; Kopacz, Adrian; Chung, Jae-Hyun 12 2007 Crack shielding and amplification due to multiple microcracks interacting with a macrocrack. Zbl 1198.74075Loehnert, Stefan; Belytschko, Ted 12 2007 The intrinsic partition of unity method. Zbl 1162.74049Fries, Thomas-Peter; Belytschko, Ted 12 2007 Two-scale method for shear bands: thermal effects and variable bandwidth. Zbl 1194.74355Areias, Pedro M. A.; Belytschko, Ted 10 2007 New shape functions for arbitrary discontinuities without additional unknowns. Zbl 1308.74146Fries, Thomas-Peter; Belytschko, Ted 3 2007 A method for dynamic crack and shear band propagation with phantom nodes. Zbl 1113.74078Song, Jeong-Hoon; Areias, Pedro M. A.; Belytschko, Ted 119 2006 The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns. Zbl 1129.74045Fries, Thomas-Peter; Belytschko, Ted 61 2006 An Eulerian-Lagrangian method for fluid-structure interaction based on level sets. Zbl 1119.74053Legay, A.; Chessa, J.; Belytschko, T. 51 2006 Analysis of fracture in thin shells by overlapping paired elements. Zbl 1120.74048Areias, Pedro M. A.; Song, J. H.; Belytschko, Ted 41 2006 Application of particle methods to static fracture of reinforced concrete structures. Zbl 1197.74175Rabczuk, T.; Belytschko, T. 36 2006 A comment on the article “A finite element method for simulation of strong and weak discontinuities in solid mechanics” by A. Hansbo and P. Hansbo. Zbl 1378.74062Areias, Pedro M. A.; Belytschko, Ted 30 2006 Two-scale shear band evolution by local partition of unity. Zbl 1110.74841Areias, Pedro M. A.; Belytschko, Ted 25 2006 A local space-time discontinuous finite element method. Zbl 1122.76052Chessa, Jack; Belytschko, Ted 16 2006 Enriched meshfree collocation method with diffuse derivatives for elastic fracture. Zbl 1141.74046Yoon, Young-Cheol; Lee, Sang-Ho; Belytschko, T. 8 2006 Adaptivity for structured meshfree particle methods in 2D and 3D. Zbl 1145.74041Rabczuk, T.; Belytschko, T. 86 2005 Analysis of three-dimensional crack initiation and propagation using the extended finite element method. Zbl 1122.74498Areias, Pedro M. A.; Belytschko, Ted 65 2005 Nonlinear analysis of shells with arbitrary evolving cracks using XFEM. Zbl 1080.74043Areias, Pedro M. A.; Belytschko, Ted 36 2005 Strong and weak arbitrary discontinuities in spectral finite elements. Zbl 1167.74045Legay, A.; Wang, H. W.; Belytschko, T. 33 2005 A finite-strain quadrilateral shell element based on discrete Kirchhoff-Love constraints. Zbl 1113.74063Areias, Pedro M. A.; Song, Jeong-Hoon; Belytschko, Ted 21 2005 Continuum-discontinuum modelling of shear bands. Zbl 1121.74476Samaniego, Esteban; Belytschko, Ted 18 2005 Dislocations by partition of unity. Zbl 1078.74665Ventura, G.; Moran, B.; Belytschko, T. 18 2005 Continuum mechanics modeling and simulation of carbon nanotubes. Zbl 1106.74006Arroyo, Marino; Belytschko, Ted 13 2005 Material stability analysis of particle methods. Zbl 1060.74070Xiao, S. P.; Belytschko, T. 12 2005 Suppression of spurious intermediate frequency modes in under-integrated elements by combined stiffness/viscous stabilization. Zbl 1181.74134Daniel, William John Trevor; Belytschko, Ted 6 2005 Discontinuous radial basis function approximations for meshfree methods. Zbl 1160.74428Xu, Jingxiao; Belytschko, Ted 3 2005 A DKT shell element for dynamic large deformation analysis. Zbl 1077.74052Wu, Shen; Li, Guangyao; Belytschko, Ted 1 2005 Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Zbl 1075.74703Rabczuk, T.; Belytschko, T. 205 2004 Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Zbl 1079.74599Guest, J. K.; Prst, J. H.; Belytschko, T. 176 2004 A bridging domain method for coupling continua with molecular dynamics. Zbl 1079.74509Xiao, S. P.; Belytschko, T. 166 2004 Stable particle methods based on Lagrangian kernels. Zbl 1060.74672Rabczuk, T.; Belytschko, T.; Xiao, S. P. 136 2004 A method for multiple crack growth in brittle materials without remeshing. Zbl 1075.74638Budyn, É.; Zi, G.; Moës, N.; Belytschko, T. 47 2004 Arbitrary discontinuities in space-time finite elements by level sets and X-FEM. Zbl 1077.76039Chessa, Jack; Belytschko, Ted 40 2004 An implicit gradient model by a reproducing kernel strain regularization in strain localization problems. Zbl 1067.74564Chen, Jiun-Shyan; Zhang, Xinwei; Belytschko, Ted 33 2004 Finite element methods for the non-linear mechanics of crystalline sheets and nanotubes. Zbl 1047.74049Arroyo, M.; Belytschko, T. 25 2004 Combined extended and superimposed finite element method for cracks. Zbl 1041.74542Lee, Sang-Ho; Song, Jeong-Hoon; Yoon, Young-Cheol; Zi, Goangseup; Belytschko, Ted 23 2004 Singular enrichment finite element method for elastodynamic crack propagation. Zbl 1076.74051Belytschko, Ted; Chen, Hao 17 2004 Homogenization of sandwich structures. Zbl 1075.74616Rabczuk, T.; Kim, J. Y.; Samaniego, E.; Belytschko, T. 17 2004 Moving particle finite element method with global smoothness. Zbl 1065.74608Hao, Su; Liu, Wing Kam; Belytschko, Ted 14 2004 Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment. Zbl 1032.74662Belytschko, Ted; Chen, Hao; Xu, Jingxiao; Zi, Goangseup 123 2003 An extended finite element method for two-phase fluids. Zbl 1110.74391Chessa, J.; Belytschko, T. 122 2003 On the construction of blending elements for local partition of unity enriched finite elements. Zbl 1035.65122Chessa, Jack; Wang, Hongwu; Belytschko, Ted 121 2003 New crack-tip elements for XFEM and applications to cohesive cracks. Zbl 1062.74633Zi, Goangseup; Belytschko, Ted 96 2003 ...and 197 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,871 Authors 159 Belytschko, Ted Bohdan 123 Liu, Wing Kam 114 Liu, Gui-Rong 89 Rabczuk, Timon 65 Liew, Kim Meow 58 Chen, Jiun-Shyan 54 Bordas, Stéphane Pierre Alain 54 Dehghan Takht Fooladi, Mehdi 50 Hughes, Thomas J. R. 49 Nguyen-Xuan, Hung 47 Wriggers, Peter 45 Bazilevs, Yuri 45 Zheng, Hong 42 Li, Xiaolin 40 Sukumar, Natarajan 37 Areias, Pedro M. A. 37 Li, Shaofan 35 Oñate Ibáñez de Navarra, Eugenio 35 Sluys, Lambertus Johannes 34 Fish, Jacob 33 Bui, Tinh Quoc 33 Sladek, Jan 33 Sladek, Vladimir 32 Zhuang, Xiaoying 31 Wen, Pihua 31 Yang, Yongtao 30 Combescure, Alain 30 de Borst, René 30 Gravouil, Anthony 30 Khoei, Amir R. 30 Li, Guangyao 30 Wang, Dongdong 30 Zhang, Lu-Wen 29 Moës, Nicolas 29 Steinmann, Paul 29 Waisman, Haim 29 Zhang, GuiYong 28 Babuška, Ivo 28 Nguyen-Thoi, Trung 27 Benson, David J. 27 Natarajan, Sundararajan 27 Paulino, Glaucio H. 27 Song, Chongmin 27 Zhang, Chuanzeng 25 Dolbow, John E. 25 Sigmund, Ole 25 Wall, Wolfgang A. 24 Gu, Yuantong 24 Huerta, Antonio 23 Abbaszadeh, Mostafa 23 Shivanian, Elyas 22 Idelsohn, Sergio Rodolfo 21 Cui, Xiangyang 21 Hsu, Ming-Chen 21 Ouyang, Jie 20 Bonet, Javier 20 Natal Jorge, Renato Manuel 19 Askes, Harm 19 Belinha, Jorge 19 Cueto, Elias 19 Schillinger, Dominik 19 Scott, Michael A. 19 Tamma, Kumar K. 18 Augarde, Charles Edward 18 Duarte, Carlos Armando 18 Farhat, Charbel H. 18 Ibrahimbegović, Adnan 18 Zhang, Xiaohua 17 Cheng, Yumin 17 Han, Xu 17 Ortiz, Michael 17 Owen, David Roger Jones 17 Rank, Ernst 16 Banerjee, Uday 16 Boroomand, Bijan 16 Doblaré, Manuel 16 Fries, Thomas-Peter 16 Kiendl, Josef 16 Miller, Karol 16 Nguyen-Thanh, Nhon 16 Oh, Hae-Soo 16 Park, Harold S. 16 Réthoré, Julien 16 Stolarski, Henryk K. 16 Verhoosel, Clemens V. 15 Chen, Lei 15 Chinesta, Francisco 15 Duan, Qinglin 15 Düster, Alexander 15 He, Zhicheng 15 Hu, Dean 15 Joldes, Grand Roman 15 Miehe, Christian 15 Ooi, Ean Tat 15 Qian, Dong 15 Reese, Stefanie 15 Song, Jeong-Hoon 15 Wittek, Adam 15 Zhang, Aman 15 Zhang, Xiong ...and 8,771 more Authors all top 5 Cited in 240 Serials 1,959 Computer Methods in Applied Mechanics and Engineering 914 International Journal for Numerical Methods in Engineering 629 Computational Mechanics 589 Engineering Analysis with Boundary Elements 310 Journal of Computational Physics 167 International Journal of Computational Methods 154 Applied Mathematical Modelling 127 Computers & Mathematics with Applications 107 European Journal of Mechanics. A. Solids 104 Applied Mathematics and Computation 92 Communications in Numerical Methods in Engineering 82 Journal of Computational and Applied Mathematics 81 Acta Mechanica 75 Mathematical Problems in Engineering 74 Computers and Fluids 65 Journal of the Mechanics and Physics of Solids 58 Archives of Computational Methods in Engineering 56 International Journal of Solids and Structures 56 Engineering Computations 54 International Journal for Numerical Methods in Fluids 51 Applied Numerical Mathematics 47 International Journal of Fracture 42 Acta Mechanica Sinica 37 Structural and Multidisciplinary Optimization 32 Meccanica 32 Journal of Scientific Computing 28 International Journal of Engineering Science 24 International Journal of Plasticity 24 Applied Mathematics and Mechanics. 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(English Edition) 6 International Journal of Heat and Mass Transfer 6 BIT 6 Mechanics Research Communications 5 Applicable Analysis 5 Archive for Rational Mechanics and Analysis 5 International Journal of Numerical Analysis and Modeling 5 Engineering Optimization 5 Algorithms 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Mathematical Methods in the Applied Sciences 4 Journal of Computational Acoustics 4 PAMM. Proceedings in Applied Mathematics and Mechanics 4 Journal of Theoretical Biology 3 Modern Physics Letters B 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Calcolo 3 Computing 3 Journal of Optimization Theory and Applications 3 Finite Elements in Analysis and Design 3 COMPEL 3 Applications of Mathematics 3 Cybernetics and Systems Analysis 3 Journal of Computer and Systems Sciences International 3 Numerical Linear Algebra with Applications 3 Science in China. Series E 3 Journal of Vibration and Control 3 Journal of Systems Science and Complexity 3 Computational Methods in Applied Mathematics ...and 140 more Serials all top 5 Cited in 41 Fields 5,014 Mechanics of deformable solids (74-XX) 2,945 Numerical analysis (65-XX) 1,257 Fluid mechanics (76-XX) 581 Partial differential equations (35-XX) 169 Classical thermodynamics, heat transfer (80-XX) 137 Biology and other natural sciences (92-XX) 129 Statistical mechanics, structure of matter (82-XX) 93 Calculus of variations and optimal control; optimization (49-XX) 90 Optics, electromagnetic theory (78-XX) 84 Operations research, mathematical programming (90-XX) 76 Mechanics of particles and systems (70-XX) 64 Geophysics (86-XX) 43 Approximations and expansions (41-XX) 43 Computer science (68-XX) 42 Probability theory and stochastic processes (60-XX) 36 Integral equations (45-XX) 28 Ordinary differential equations (34-XX) 26 Statistics (62-XX) 23 Systems theory; control (93-XX) 20 Quantum theory (81-XX) 14 Information and communication theory, circuits (94-XX) 13 Dynamical systems and ergodic theory (37-XX) 9 Potential theory (31-XX) 8 Functional analysis (46-XX) 8 Operator theory (47-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Real functions (26-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 2 General and overarching topics; collections (00-XX) 2 Manifolds and cell complexes (57-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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