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Belytschko, Ted Bohdan

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Author ID: belytschko.ted Recent zbMATH articles by "Belytschko, Ted Bohdan"
Published as: Beltytschko, Ted; Belytschko, T.; Belytschko, T. B.; Belytschko, Ted
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 320 Publications since 1968, including 8 Books
Biographic References: 2 Publications
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 Lu, Yeyun
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 Mullen, Robert L.
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 Black, Tim
3 Budyn, Elisa
3 Engelmann, Bruce E.
3 Fleming, Mark
3 Guo, Yong
3 Khare, Roopam
3 Lam, Dennis
3 Lin, Jerry I.
3 Loehnert, Stefan
3 Mani, Ashish
3 Mullen, Robert E. jun.
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 Gu, Lifang
2 Guidault, Pierre-Alain
2 Hao, Su
2 Holmes, Nancy D.
2 Hsu, Ming-Chen
2 Jun, Sukky
2 Kim, Do Wan
2 Kulkarni, Mandar D.
2 Legay, Antoine
2 Li, Guangyao
2 Li, Xikui
2 Liu, Zhanli
2 Lu, Yiyang
2 Lua, Yuan Jie
2 Mindle, Wayne Louis
2 Oden, John Tinsley
2 Ponthot, Jean-Philippe
2 Samaniego, Esteban
2 To, Albert C.
2 Usui, Shuji
2 Wang, Xiaojun
1 Adee, Jonathan
1 Babuška, Ivo
...and 107 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

299 Publications have been cited 16,122 times in 6,360 Documents Cited by Year
Element-free Galerkin methods. Zbl 0796.73077
Belytschko, T.; Lu, Y. Y.; Gu, L.
1994
A finite element method for crack growth without remeshing. Zbl 0955.74066
Moës, Nicolas; Dolbow, John; Belytschko, Ted
1999
Meshless methods: An overview and recent developments. Zbl 0891.73075
Belytschko, T.; Krongauz, Y.; Organ, D.; Fleming, M.; Krysl, P.
826
1996
Elastic crack growth in finite elements with minimal remeshing. Zbl 0943.74061
Belytschko, T.; Black, T.
643
1999
Nonlinear finite elements for continua and structures. Zbl 0959.74001
Belytschko, Ted; Liu, Wing Kam; Moran, Brian
512
2000
The extended/generalized finite element method: an overview of the method and its applications. Zbl 1202.74169
Fries, Thomas-Peter; Belytschko, Ted
312
2010
Arbitrary discontinuities in finite elements. Zbl 0981.74062
Belytschko, T.; Moës, N.; Usui, S.; Parimi, C.
278
2001
Reproducing kernel particle methods for structural dynamics. Zbl 0840.73078
Liu, Wing Kam; Jun, Sukky; Li, Shaofan; Adee, Jonathan; Belytschko, Ted
262
1995
Modeling holes and inclusions by level sets in the extended finite element method. Zbl 1029.74049
Sukumar, N.; Chopp, D. L.; Moës, N.; Belytschko, T.
260
2001
Extended finite element method for three-dimensional crack modelling. Zbl 0963.74067
Sukumar, N.; Moës, N.; Moran, B.; Belytschko, T.
218
2000
A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. Zbl 0478.73049
Flanagan, D. P.; Belytschko, T.
210
1981
Moving least-square reproducing kernel methods. I: Methodology and convergence. Zbl 0883.65088
Liu, Wing Kam; Li, Shaofan; Belytschko, Ted
203
1997
A new implementation of the element free Galerkin method. Zbl 0847.73064
Lu, Y. Y.; Belytschko, T.; Gu, L.
200
1994
Arbitrary branched and intersecting cracks with the extended finite element method. Zbl 0989.74066
Daux, Christophe; Moës, Nicolas; Dolbow, John; Sukumar, Natarajan; Belytschko, Ted
185
2000
Nodal integration of the element-free Galerkin method. Zbl 0918.73329
Beissel, Stephen; Belytschko, Ted
180
1996
Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Zbl 1075.74703
Rabczuk, T.; Belytschko, T.
171
2004
The natural element method in solid mechanics. Zbl 0940.74078
Sukumar, N.; Moran, B.; Belytschko, T.
164
1998
Non-planar 3D crack growth by the extended finite element and level sets. I: Mechanical model. II: Level set update. Zbl 1169.74621
Moës, N.; Gravouil, A.; Belytschko, T.
162
2002
A bridging domain method for coupling continua with molecular dynamics. Zbl 1079.74509
Xiao, S. P.; Belytschko, T.
149
2004
A coupled finite element – element-free Galerkin method. Zbl 0840.73058
Belytschko, T.; Organ, D.; Krongauz, Y.
145
1995
Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Zbl 1079.74599
Guest, J. K.; Prst, J. H.; Belytschko, T.
141
2004
A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Zbl 1128.74051
Rabczuk, T.; Belytschko, T.
125
2007
Hourglass control in linear and nonlinear problems. Zbl 0522.73063
Belytschko, Ted; Ong, Jame Shau-Jen; Liu, Wing Kam; Kennedy, James M.
125
1984
Stable particle methods based on Lagrangian kernels. Zbl 1060.74672
Rabczuk, T.; Belytschko, T.; Xiao, S. P.
124
2004
Modelling crack growth by level sets in the extended finite element method. Zbl 1022.74049
Stolarska, M.; Chopp, D. L.; Moës, N.; Belytschko, T.
123
2001
Element-free Galerkin methods for static and dynamic fracture. Zbl 0918.73268
Belytschko, T.; Lu, Y. Y.; Gu, L.; Tabbara, M.
119
1995
On the construction of blending elements for local partition of unity enriched finite elements. Zbl 1035.65122
Chessa, Jack; Wang, Hongwu; Belytschko, Ted
118
2003
Stress projection for membrane and shear locking in shell finite elements. Zbl 0581.73091
Belytschko, Ted; Stolarski, Henryk; Liu, Wing Kam; Carpenter, Nicholas; Ong, Jame Shau-Jen
118
1985
An extended finite element method for modeling crack growth with frictional contact. Zbl 1033.74042
Dolbow, John; Moës, Nicolas; Belytschko, Ted
114
2001
Numerical integration of the Galerkin weak form in meshfree methods. Zbl 0963.74076
Dolbow, J.; Belytschko, T.
113
1999
An extended finite element method for two-phase fluids. Zbl 1110.74391
Chessa, J.; Belytschko, T.
108
2003
Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment. Zbl 1032.74662
Belytschko, Ted; Chen, Hao; Xu, Jingxiao; Zi, Goangseup
108
2003
Enforcement of essential boundary conditions in meshless approximations using finite elements. Zbl 0881.65098
Krongauz, Y.; Belytschko, T.
108
1996
A method for dynamic crack and shear band propagation with phantom nodes. Zbl 1113.74078
Song, Jeong-Hoon; Areias, Pedro M. A.; Belytschko, Ted
103
2006
Fast integration and weight function blending in the extended finite element method. Zbl 1195.74201
Ventura, Giulio; Gracie, Robert; Belytschko, Ted
100
2009
A unified stability analysis of meshless particle methods. Zbl 0972.74078
Belytschko, Ted; Guo, Yong; Liu, Wing Kam; Xiao, Shao Ping
99
2000
A meshfree thin shell method for nonlinear dynamic fracture. Zbl 1194.74537
Rabczuk, T.; Areias, P. M. A.; Belytschko, T.
98
2007
Dynamic fracture using element-free Galerkin methods. Zbl 0953.74077
Belytschko, T.; Tabbara, M.
98
1996
Random field finite elements. Zbl 0597.73075
Liu, Wing Kam; Belytschko, Ted; Mani, A.
94
1986
Efficient implementation of quadrilaterals with high coarse-mesh accuracy. Zbl 0579.73075
Belytschko, Ted; Bachrach, William E.
93
1986
Analysis of thin shells by the element-free Galerkin method. Zbl 0929.74126
Krysl, Petr; Belytschko, Ted
91
1996
A vector level set method and new discontinuity approximations for crack growth by EFG. Zbl 1034.74053
Ventura, G.; Xu, J. X.; Belytschko, T.
90
2002
Discontinuous enrichment in finite elements with a partition of unity method. Zbl 0981.74057
Dolbow, J.; Moës, N.; Belytschko, T.
90
2000
A finite element with embedded localization zones. Zbl 0653.73032
Belytschko, Ted; Fish, Jacob; Engelmann, Bruce E.
88
1988
Non-linear transient finite element analysis with convected co-ordinates. Zbl 0265.73062
Belytschko, T.; Hsieh, B. J.
87
1973
New crack-tip elements for XFEM and applications to cohesive cracks. Zbl 1062.74633
Zi, Goangseup; Belytschko, Ted
86
2003
The extended finite element method (XFEM) for solidification problems. Zbl 1003.80004
Chessa, Jack; Smolinski, Patrick; Belytschko, Ted
85
2002
Analysis of thin plates by the element-free Galerkin method. Zbl 0841.73064
Krysl, P.; Belytschko, T.
85
1995
Adaptivity for structured meshfree particle methods in 2D and 3D. Zbl 1145.74041
Rabczuk, T.; Belytschko, T.
84
2005
Smoothing and accelerated computations in the element free Galerkin method. Zbl 0862.73058
Belytschko, Ted; Krongauz, Yury; Fleming, Mark; Organ, Daniel; Liu, Wing Kam Snm
84
1996
A generalized finite element formulation for arbitrary basis functions: from isogeometric analysis to XFEM. Zbl 1197.74177
Benson, D. J.; Bazilevs, Y.; De Luycker, E.; Hsu, M.-C.; Scott, M.; Hughes, T. J. R.; Belytschko, T.
78
2010
On the completeness of meshfree particle methods. Zbl 0939.74076
Belytschko, T.; Krongauz, Y.; Dolbow, J.; Gerlach, C.
74
1998
Continuous meshless approximations for nonconvex bodies by diffraction and transparency. Zbl 0864.73076
Organ, D.; Fleming, M.; Terry, T.; Belytschko, T.
74
1996
Structured extended finite element methods for solids defined by implicit surfaces. Zbl 1038.74041
Belytschko, Ted; Parimi, Chandu; Moës, Nicolas; Sukumar, N.; Usui, Shuji
73
2003
Multiscale aggregating discontinuities: a method for circumventing loss of material stability. Zbl 1195.74008
Belytschko, Ted; Loehnert, Stefan; Song, Jeong-Hoon
70
2008
Topology optimization with implicit functions and regularization. Zbl 1062.74583
Belytschko, T.; Xiao, S. P.; Parimi, C.
70
2003
An extended finite element method with higher-order elements for curved cracks. Zbl 1038.74651
Stazi, F. L.; Budyn, E.; Chessa, J.; Belytschko, T.
69
2003
An atomistic-based finite deformation membrane for single layer crystalline films. Zbl 1006.74061
Arroyo, Marino; Belytschko, Ted
69
2002
Nonlinear finite elements for continua and structures. 2nd updated and extended ed. Zbl 1279.74002
Belytschko, Ted; Liu, Wing Kam; Moran, Brian; Elkhodary, Khalil
68
2013
Contact-impact by the pinball algorithm with penalty and Lagrangian methods. Zbl 0825.73984
Belytschko, Ted; Neal, Mark O.
68
1991
Localization limiters in transient problems. Zbl 0636.73021
Lasry, David; Belytschko, Ted
64
1988
Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua. Zbl 0626.73076
Liu, Wing Kam; Chang, Herman; Chen, Jiun-Shyan; Belytschko, Ted
64
1988
Assumed strain stabilization of the eight node hexahedral element. Zbl 0781.73061
Belytschko, Ted; Bindeman, Lee P.
63
1993
Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear problems. Zbl 0742.73019
Belytschko, T.; Bindeman, L. P.
63
1991
The element free Galerkin method for dynamic propagation of arbitrary 3-D cracks. Zbl 0953.74078
Krysl, Petr; Belytschko, Ted
62
1999
Analysis of three-dimensional crack initiation and propagation using the extended finite element method. Zbl 1122.74498
Areias, Pedro M. A.; Belytschko, Ted
61
2005
Consistent pseudo-derivatives in meshless methods. Zbl 0894.73156
Krongauz, Y.; Belytschko, T.
61
1997
Explicit algorithms for the nonlinear dynamics of shells. Zbl 0512.73073
Beltytschko, Ted; Lin, Jerry I.; Tsay, Chen-Shyh
61
1984
Shear and membrane locking in curved \(C^ 0\) elements. Zbl 0509.73072
Stolarski, Henryk; Belytschko, Ted
60
1983
A stabilization procedure for the quadrilateral plate element with one- point quadrature. Zbl 0502.73058
Belytschko, Ted; Tsay, Chen-Shyh
60
1983
A précis of developments in computational methods for transient analysis. Zbl 0533.73002
Hughes, T. J. R.; Belytschko, T.
58
1983
Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods. Zbl 1195.74175
Gracie, Robert; Wang, Hongwu; Belytschko, Ted
56
2008
An enriched finite element method and level sets for axisymmetric two-phase flow with surface tension. Zbl 1032.76591
Chessa, Jack; Belytschko, Ted
56
2003
Stability of explicit-implicit mesh partitions in time integration. Zbl 0398.65059
Belytschko, Ted; Mullen, Robert
56
1978
Immersed particle method for fluid-structure interaction. Zbl 1183.74367
Rabczuk, Timon; Gracie, Robert; Song, Jeong-Hoon; Belytschko, Ted
55
2010
EFG approximation with discontinuous derivatives. Zbl 0906.73063
Krongauz, Y.; Belytschko, T.
55
1998
The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns. Zbl 1129.74045
Fries, Thomas-Peter; Belytschko, Ted
54
2006
An error estimate in the EFG method. Zbl 0910.73060
Chung, H.-J.; Belytschko, T.
54
1998
Physical stabilization of the 4-node shell element with one point quadrature. Zbl 0846.73058
Belytschko, Ted; Leviathan, Itai
54
1994
Computational methods for transient analysis. Zbl 0521.00025
Belytschko, Ted (ed.); Hughes, Thomas J. R. (ed.)
54
1983
X-FEM in isogeometric analysis for linear fracture mechanics. Zbl 1242.74105
De Luycker, E.; Benson, D. J.; Belytschko, T.; Bazilevs, Y.; Hsu, M. C.
52
2011
Element-free Galerkin method for wave propagation and dynamic fracture. Zbl 1067.74599
Lu, Y. Y.; Belytschko, T.; Tabbara, M.
51
1995
Superconvergent patch recovery with equilibrium and conjoint interpolant enhancements. Zbl 0789.73064
Blacker, Ted; Belytschko, Ted
51
1994
An Eulerian-Lagrangian method for fluid-structure interaction based on level sets. Zbl 1119.74053
Legay, A.; Chessa, J.; Belytschko, T.
50
2006
The extended finite element method for rigid particles in Stokes flow. Zbl 0998.76054
Wagner, G. J.; Moës, N.; Liu, W. K.; Belytschko, T.
50
2001
Regularization of material instabilities of meshfree approximations with intrinsic length scales. Zbl 0987.74079
Chen, Jiun-Shyan; Wu, Cheng-Tang; Belytschko, Ted
50
2000
Probabilistic finite elements for nonlinear structural dynamics. Zbl 0576.73066
Liu, Wing Kam; Belytschko, Ted; Mani, A.
47
1986
Mixed methods for time integration. Zbl 0403.73002
Belytschko, T.; Yen, H.-J.; Mullen, R.
47
1979
Vector level sets for description of propagating cracks in finite elements. Zbl 1032.74687
Ventura, G.; Budyn, E.; Belytschko, T.
46
2003
A method for multiple crack growth in brittle materials without remeshing. Zbl 1075.74638
Budyn, É.; Zi, G.; Moës, N.; Belytschko, T.
45
2004
Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions. Zbl 0918.73125
Krysl, Petr; Belytschko, Ted
45
1997
Membrane locking and reduced integration for curved elements. Zbl 0482.73060
Stolarski, H.; Belytschko, T.
45
1982
Dispersion analysis of finite element semidiscretizations of the two- dimensional wave equation. Zbl 0466.73102
Mullen, Robert; Belytschko, Ted
45
1982
Advances in multiple scale kernel particle methods. Zbl 0868.73091
Liu, W. K.; Chen, Y.; Chang, C. T.; Belytschko, T.
44
1996
A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452
Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam
42
2014
Modeling fracture in Mindlin-Reissner plates with the extended finite element method. Zbl 0993.74061
Dolbow, John; Moës, Nicolas; Belytschko, Ted
42
2000
Resultant-stress degenerated-shell element. Zbl 0587.73113
Liu, Wing K.; Law, E. S.; Lam, D.; Belytschko, T.
42
1986
An arbitrary Lagrangian-Eulerian finite element method for path-dependent materials. Zbl 0585.73117
Liu, Wing Kam; Belytschko, Ted; Chang, Herman
42
1986
A multiple-quadrature eight-mode hexahedral finite element for large deformation elastoplastic analysis. Zbl 0935.74068
Liu, Wing Kam; Guo, Yong; Tang, Sing; Belytschko, Ted
41
1998
Numerical methods for the limit analysis of plates. Zbl 0172.52003
Hodge, Philip G. jun.; Belytschko, T.
41
1968
A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452
Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam
42
2014
Consistent element-free Galerkin method. Zbl 1352.65493
Duan, Qinglin; Gao, Xin; Wang, Bingbing; Li, Xikui; Zhang, Hongwu; Belytschko, Ted; Shao, Yulong
13
2014
A regularized phenomenological multiscale damage model. Zbl 1352.74024
Liu, Yang; Filonova, Vasilina; Hu, Nan; Yuan, Zifeng; Fish, Jacob; Yuan, Zheng; Belytschko, Ted
5
2014
Quadratically consistent integration schemes for the element-free Galerkin method. Zbl 1292.65125
Duan, Q.; Li, X.; Zhang, H.; Belytschko, T.
1
2014
Nonlinear finite elements for continua and structures. 2nd updated and extended ed. Zbl 1279.74002
Belytschko, Ted; Liu, Wing Kam; Moran, Brian; Elkhodary, Khalil
68
2013
Archetype-blending continuum theory. Zbl 1297.74087
Elkhodary, Khalil I.; Steven Greene, M.; Tang, Shan; Belytschko, Ted; Liu, Wing K.
2
2013
XFEM modeling of ultrasonic wave propagation in polymer matrix particulate/fibrous composites. Zbl 1454.76056
Liu, Zhanli; Oswald, Jay; Belytschko, Ted
1
2013
Second-order accurate derivatives and integration schemes for meshfree methods. Zbl 1352.65390
Duan, Qinglin; Li, Xikui; Zhang, Hongwu; Belytschko, Ted
30
2012
Adaptive atomistic-to-continuum modeling of propagating defects. Zbl 1352.74412
Moseley, Philip; Oswald, Jay; Belytschko, Ted
5
2012
X-FEM in isogeometric analysis for linear fracture mechanics. Zbl 1242.74105
De Luycker, E.; Benson, D. J.; Belytschko, T.; Bazilevs, Y.; Hsu, M. C.
52
2011
An XFEM/spectral element method for dynamic crack propagation. Zbl 1283.74096
Liu, Z. L.; Menouillard, T.; Belytschko, T.
7
2011
An adaptive concurrent multiscale method for the dynamic simulation of dislocations. Zbl 1216.74021
Gracie, Robert; Belytschko, Ted
7
2011
Analysis and computations of oscillating crack propagation in a heated strip. Zbl 1282.74079
Menouillard, Thomas; Belytschko, Ted
4
2011
A higher-order extended finite element method for dislocation energetics in strained layers and epitaxial islands. Zbl 1217.74132
Oswald, Jay; Wintersberger, Eugen; Bauer, Günther; Belytschko, Ted
2
2011
The extended/generalized finite element method: an overview of the method and its applications. Zbl 1202.74169
Fries, Thomas-Peter; Belytschko, Ted
312
2010
A generalized finite element formulation for arbitrary basis functions: from isogeometric analysis to XFEM. Zbl 1197.74177
Benson, D. J.; Bazilevs, Y.; De Luycker, E.; Hsu, M.-C.; Scott, M.; Hughes, T. J. R.; Belytschko, T.
78
2010
Immersed particle method for fluid-structure interaction. Zbl 1183.74367
Rabczuk, Timon; Gracie, Robert; Song, Jeong-Hoon; Belytschko, Ted
55
2010
Coarse-graining of multiscale crack propagation. Zbl 1183.74260
Belytschko, Ted; Song, Jeong-Hoon
34
2010
Robust and provably second-order explicit-explicit and implicit-explicit staggered time-integrators for highly nonlinear compressible fluid-structure interaction problems. Zbl 1202.74167
Farhat, C.; Rallu, A.; Wang, K.; Belytschko, T.
27
2010
A new support integration scheme for the weakform in mesh-free methods. Zbl 1188.74084
Liu, Yan; Belytschko, Ted
18
2010
Dynamic fracture with meshfree enriched XFEM. Zbl 1272.74604
Menouillard, Thomas; Belytschko, Ted
15
2010
Time dependent crack tip enrichment for dynamic crack propagation. Zbl 1425.74442
Menouillard, Thomas; Song, Jeong-Hoon; Duan, Qinglin; Belytschko, Ted
12
2010
Smoothed nodal forces for improved dynamic crack propagation modeling in XFEM. Zbl 1202.74181
Menouillard, Thomas; Belytschko, Ted
8
2010
A continuum-to-atomistic bridging domain method for composite lattices. Zbl 1183.74012
Xu, Mei; Gracie, Robert; Belytschko, Ted
8
2010
Concurrent coupling of atomistic and continuum models. Zbl 1221.82036
Belytschko, Ted; Gracie, Robert; Xu, Mei
1
2010
Fast methods for determining instabilities of elastic – plastic damage models through closed-form expressions. Zbl 1202.74154
Xue, Liang; Belytschko, Ted
1
2010
Fast integration and weight function blending in the extended finite element method. Zbl 1195.74201
Ventura, Giulio; Gracie, Robert; Belytschko, Ted
100
2009
Cracking node method for dynamic fracture with finite elements. Zbl 1155.74415
Song, Jeong-Hoon; Belytschko, Ted
30
2009
Concurrently coupled atomistic and XFEM models for dislocations and cracks. Zbl 1183.74278
Gracie, Robert; Belytschko, Ted
20
2009
Gradient and dilatational stabilizations for stress-point integration in the element-free Galerkin method. Zbl 1156.74393
Duan, Qinglin; Belytschko, Ted
17
2009
The extended finite element method for fracture in composite materials. Zbl 1257.74153
Huynh, D. B. P.; Belytschko, T.
16
2009
Element-local level set method for three-dimensional dynamic crack growth. Zbl 1183.74269
Duan, Qinglin; Song, Jeong-Hoon; Menouillard, Thomas; Belytschko, Ted
15
2009
Fluid – structure interaction by the discontinuous-Galerkin method for large deformations. Zbl 1195.74204
Wang, Hongwu; Belytschko, Ted
12
2009
Bridging domain methods for coupled atomistic-continuum models with \(L^2\) or \(H^1\) couplings. Zbl 1158.74309
Guidault, P.-A.; Belytschko, T.
12
2009
Thermal softening induced plastic instability in rate-dependent materials. Zbl 1252.74019
Ling, Xianwu; Belytschko, T.
9
2009
An extended finite element method for dislocations in complex geometries: thin films and nanotubes. Zbl 1227.74085
Oswald, 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 1278.74176
Menouillard, Thomas; Belytschko, Ted
4
2009
Multiscale aggregating discontinuities: a method for circumventing loss of material stability. Zbl 1195.74008
Belytschko, Ted; Loehnert, Stefan; Song, Jeong-Hoon
70
2008
Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods. Zbl 1195.74175
Gracie, Robert; Wang, Hongwu; Belytschko, Ted
56
2008
A comparative study on finite element methods for dynamic fracture. Zbl 1160.74048
Song, Jeong-Hoon; Wang, Hongwu; Belytschko, Ted
39
2008
The immersed/fictitious element method for fluid-structure interaction: Volumetric consistency, compressibility and thin members. Zbl 1159.74437
Wang, Hongwu; Chessa, Jack; Liu, Wing K.; Belytschko, Ted
23
2008
Convergence and stabilization of stress-point integration in mesh-free and particle methods. Zbl 1158.74525
Fries, Thomas-Peter; Belytschko, Ted
23
2008
Parametric enrichment adaptivity by the extended finite element method. Zbl 1159.74436
Waisman, Haim; Belytschko, Ted
20
2008
Conservation properties of the bridging domain method for coupled molecular/continuum dynamics. Zbl 1195.74303
Xu, Mei; Belytschko, Ted
19
2008
On a new extended finite element method for dislocations: Core enrichment and nonlinear formulation. Zbl 1162.74464
Gracie, Robert; Oswald, Jay; Belytschko, Ted
13
2008
Multiscale coupling schemes spanning the quantum mechanical, atomistic forcefield, and continuum regimes. Zbl 1159.74302
Khare, 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 1421.74084
To, 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 1128.74051
Rabczuk, T.; Belytschko, T.
125
2007
A meshfree thin shell method for nonlinear dynamic fracture. Zbl 1194.74537
Rabczuk, T.; Areias, P. M. A.; Belytschko, T.
98
2007
A multiscale projection method for macro/microcrack simulations. Zbl 1194.74436
Loehnert, Stefan; Belytschko, Ted
39
2007
A simplified mesh-free method for shear bands with cohesive surfaces. Zbl 1194.74536
Rabczuk, T.; Areias, P. M. A.; Belytschko, T.
37
2007
On the \(L^{2}\) and the \(H^{1}\) couplings for an overlapping domain decomposition method using Lagrange multipliers. Zbl 1194.74555
Guidault, P.-A.; Belytschko, T.
34
2007
A first course in finite elements. With CD-ROM. Zbl 1135.74001
Fish, Jacob; Belytschko, Ted
33
2007
A bridging domain and strain computation method for coupled atomistic-continuum modelling of solids. Zbl 1194.74491
Zhang, Sulin; Khare, Roopam; Lu, Qiang; Belytschko, Ted
29
2007
On XFEM applications to dislocations and interfaces. Zbl 1126.74046
Belytschko, Ted; Gracie, Robert
24
2007
A new fast finite element method for dislocations based on interior discontinuities. Zbl 1194.74402
Gracie, Robert; Ventura, Giulio; Belytschko, Ted
23
2007
Extrinsic meshfree approximation using asymptotic expansion for interfacial discontinuity of derivative. Zbl 1110.65110
Kim, Do Wan; Yoon, Young-Cheol; Liu, Wing Kam; Belytschko, Ted
20
2007
Meshfree point collocation method with intrinsic enrichment for interface problems. Zbl 1161.74053
Kim, Do Wan; Liu, Wing Kam; Yoon, Young-Cheol; Belytschko, Ted; Lee, Sang-Ho
16
2007
Immersed electrokinetic finite element method. Zbl 1194.76126
Liu, 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 1198.74075
Loehnert, Stefan; Belytschko, Ted
11
2007
The intrinsic partition of unity method. Zbl 1162.74049
Fries, Thomas-Peter; Belytschko, Ted
10
2007
Two-scale method for shear bands: thermal effects and variable bandwidth. Zbl 1194.74355
Areias, Pedro M. A.; Belytschko, Ted
9
2007
New shape functions for arbitrary discontinuities without additional unknowns. Zbl 1308.74146
Fries, Thomas-Peter; Belytschko, Ted
2
2007
A method for dynamic crack and shear band propagation with phantom nodes. Zbl 1113.74078
Song, Jeong-Hoon; Areias, Pedro M. A.; Belytschko, Ted
103
2006
The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns. Zbl 1129.74045
Fries, Thomas-Peter; Belytschko, Ted
54
2006
An Eulerian-Lagrangian method for fluid-structure interaction based on level sets. Zbl 1119.74053
Legay, A.; Chessa, J.; Belytschko, T.
50
2006
Analysis of fracture in thin shells by overlapping paired elements. Zbl 1120.74048
Areias, Pedro M. A.; Song, J. H.; Belytschko, Ted
36
2006
Application of particle methods to static fracture of reinforced concrete structures. Zbl 1197.74175
Rabczuk, T.; Belytschko, T.
34
2006
Two-scale shear band evolution by local partition of unity. Zbl 1110.74841
Areias, Pedro M. A.; Belytschko, Ted
25
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 1378.74062
Areias, Pedro M. A.; Belytschko, Ted
22
2006
A local space-time discontinuous finite element method. Zbl 1122.76052
Chessa, Jack; Belytschko, Ted
16
2006
Enriched meshfree collocation method with diffuse derivatives for elastic fracture. Zbl 1141.74046
Yoon, Young-Cheol; Lee, Sang-Ho; Belytschko, T.
8
2006
Adaptivity for structured meshfree particle methods in 2D and 3D. Zbl 1145.74041
Rabczuk, T.; Belytschko, T.
84
2005
Analysis of three-dimensional crack initiation and propagation using the extended finite element method. Zbl 1122.74498
Areias, Pedro M. A.; Belytschko, Ted
61
2005
Strong and weak arbitrary discontinuities in spectral finite elements. Zbl 1167.74045
Legay, A.; Wang, H. W.; Belytschko, T.
30
2005
Nonlinear analysis of shells with arbitrary evolving cracks using XFEM. Zbl 1080.74043
Areias, Pedro M. A.; Belytschko, Ted
29
2005
A finite-strain quadrilateral shell element based on discrete Kirchhoff-Love constraints. Zbl 1113.74063
Areias, Pedro M. A.; Song, Jeong-Hoon; Belytschko, Ted
18
2005
Dislocations by partition of unity. Zbl 1078.74665
Ventura, G.; Moran, B.; Belytschko, T.
18
2005
Continuum-discontinuum modelling of shear bands. Zbl 1121.74476
Samaniego, Esteban; Belytschko, Ted
16
2005
Continuum mechanics modeling and simulation of carbon nanotubes. Zbl 1106.74006
Arroyo, Marino; Belytschko, Ted
13
2005
Material stability analysis of particle methods. Zbl 1060.74070
Xiao, S. P.; Belytschko, T.
11
2005
Suppression of spurious intermediate frequency modes in under-integrated elements by combined stiffness/viscous stabilization. Zbl 1181.74134
Daniel, William John Trevor; Belytschko, Ted
6
2005
Discontinuous radial basis function approximations for meshfree methods. Zbl 1160.74428
Xu, Jingxiao; Belytschko, Ted
3
2005
A DKT shell element for dynamic large deformation analysis. Zbl 1077.74052
Wu, Shen; Li, Guangyao; Belytschko, Ted
1
2005
Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Zbl 1075.74703
Rabczuk, T.; Belytschko, T.
171
2004
A bridging domain method for coupling continua with molecular dynamics. Zbl 1079.74509
Xiao, S. P.; Belytschko, T.
149
2004
Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Zbl 1079.74599
Guest, J. K.; Prst, J. H.; Belytschko, T.
141
2004
Stable particle methods based on Lagrangian kernels. Zbl 1060.74672
Rabczuk, T.; Belytschko, T.; Xiao, S. P.
124
2004
A method for multiple crack growth in brittle materials without remeshing. Zbl 1075.74638
Budyn, É.; Zi, G.; Moës, N.; Belytschko, T.
45
2004
Arbitrary discontinuities in space-time finite elements by level sets and X-FEM. Zbl 1077.76039
Chessa, Jack; Belytschko, Ted
37
2004
Finite element methods for the non-linear mechanics of crystalline sheets and nanotubes. Zbl 1047.74049
Arroyo, M.; Belytschko, T.
25
2004
An implicit gradient model by a reproducing kernel strain regularization in strain localization problems. Zbl 1067.74564
Chen, Jiun-Shyan; Zhang, Xinwei; Belytschko, Ted
23
2004
Combined extended and superimposed finite element method for cracks. Zbl 1041.74542
Lee, Sang-Ho; Song, Jeong-Hoon; Yoon, Young-Cheol; Zi, Goangseup; Belytschko, Ted
21
2004
Homogenization of sandwich structures. Zbl 1075.74616
Rabczuk, T.; Kim, J. Y.; Samaniego, E.; Belytschko, T.
17
2004
Singular enrichment finite element method for elastodynamic crack propagation. Zbl 1076.74051
Belytschko, Ted; Chen, Hao
16
2004
Moving particle finite element method with global smoothness. Zbl 1065.74608
Hao, Su; Liu, Wing Kam; Belytschko, Ted
14
2004
On the construction of blending elements for local partition of unity enriched finite elements. Zbl 1035.65122
Chessa, Jack; Wang, Hongwu; Belytschko, Ted
118
2003
An extended finite element method for two-phase fluids. Zbl 1110.74391
Chessa, J.; Belytschko, T.
108
2003
Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment. Zbl 1032.74662
Belytschko, Ted; Chen, Hao; Xu, Jingxiao; Zi, Goangseup
108
2003
New crack-tip elements for XFEM and applications to cohesive cracks. Zbl 1062.74633
Zi, Goangseup; Belytschko, Ted
86
2003
...and 199 more Documents
all top 5

Cited by 9,169 Authors

159 Belytschko, Ted Bohdan
121 Liu, Wing Kam
111 Liu, Gui-Rong
83 Rabczuk, Timon
63 Liew, Kim Meow
52 Bordas, Stéphane Pierre Alain
52 Chen, Jiun-Shyan
50 Dehghan Takht Fooladi, Mehdi
50 Hughes, Thomas J. R.
49 Nguyen-Xuan, Hung
45 Wriggers, Peter
40 Bazilevs, Yuri
40 Zheng, Hong
39 Li, Xiaolin
38 Sukumar, Natarajan
36 Oñate Ibáñez de Navarra, Eugenio
34 Fish, Jacob
34 Li, Shaofan
34 Sluys, Lambertus Johannes
32 Areias, Pedro M. A.
31 Sladek, Jan
31 Sladek, Vladimir
30 Khoei, Amir R.
30 Steinmann, Paul
29 Combescure, Alain
29 de Borst, René
29 Gravouil, Anthony
29 Li, Guangyao
29 Moës, Nicolas
29 Zhuang, Xiaoying
28 Nguyen-Thoi, Trung
27 Gu, Yuantong
27 Paulino, Glaucio H.
27 Zhang, Luwen
26 Benson, David J.
26 Waisman, Haim
26 Wang, Dongdong
26 Yang, Yongtao
26 Zhang, GuiYong
25 Babuška, Ivo
25 Duarte, C. A. M.
24 Bui, Tinh Quoc
24 Dolbow, John E.
24 Sigmund, Ole
24 Wall, Wolfgang A.
23 Idelsohn, Sergio Rodolfo
23 Song, Chongmin
23 Zhang, Chuanzeng
22 Fries, Thomas-Peter
22 Natarajan, Sundararajan
21 Abbaszadeh, Mostafa
21 Huerta, Antonio
21 Ouyang, Jie
20 Askes, Harm
20 Bonet, Javier
20 Shivanian, Elyas
19 Cueto, Elias
19 Cui, Xiangyang
19 Hsu, Ming-Chen
19 Natal Jorge, Renato Manuel
18 Augarde, Charles Edward
18 Belinha, Jorge
18 Cheng, Yumin
18 Farhat, Charbel H.
18 Owen, D. Roger J.
18 Schillinger, Dominik
18 Wen, Pihua H.
17 Ibrahimbegović, Adnan
17 Ortiz, Michael
17 Park, Harold S.
17 Rank, Ernst
17 Scott, Michael A.
17 Tamma, Kumar K.
16 Doblaré, Manuel
16 Nguyen-Thanh, Nhon
16 Réthoré, Julien
16 Stolarski, Henryk K.
15 Chen, Lei
15 Chinesta, Francisco
15 Han, Xu
15 He, Zhicheng
15 Joldes, Grand Roman
15 Miehe, Christian
15 Miller, Karol
15 Oh, Hae-Soo
15 Qian, Dong
15 Song, Jeong-Hoon
15 Verhoosel, Clemens V.
15 Zhang, Xiaohua
14 Arroyo, Marino
14 Banerjee, Uday
14 Boroomand, Bijan
14 Duan, Qinglin
14 Düster, Alexander
14 Geubelle, Philippe H.
14 Hu, Dean
14 Huespe, Alfredo E.
14 Kerfriden, Pierre
14 Kiendl, Josef
14 Luo, Zhen
...and 9,069 more Authors
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Cited in 210 Serials

1,780 Computer Methods in Applied Mechanics and Engineering
914 International Journal for Numerical Methods in Engineering
566 Computational Mechanics
509 Engineering Analysis with Boundary Elements
279 Journal of Computational Physics
148 International Journal of Computational Methods
126 Applied Mathematical Modelling
102 Computers & Mathematics with Applications
100 Applied Mathematics and Computation
95 European Journal of Mechanics. A. Solids
92 Communications in Numerical Methods in Engineering
75 Mathematical Problems in Engineering
74 Journal of Computational and Applied Mathematics
69 Computers and Fluids
69 Journal of the Mechanics and Physics of Solids
66 Acta Mechanica
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
47 International Journal of Fracture
46 Applied Numerical Mathematics
41 Acta Mechanica Sinica
37 Structural and Multidisciplinary Optimization
32 Meccanica
27 International Journal of Engineering Science
25 Journal of Scientific Computing
24 International Journal of Plasticity
24 Applied Mathematics and Mechanics. (English Edition)
23 Archive of Applied Mechanics
20 International Journal for Computational Methods in Engineering Science and Mechanics
19 Numerical Methods for Partial Differential Equations
19 SIAM Journal on Scientific Computing
19 International Journal for Numerical Methods in Biomedical Engineering
17 Journal of Engineering Mathematics
17 Numerische Mathematik
16 International Journal for Numerical and Analytical Methods in Geomechanics
16 Computational and Applied Mathematics
16 International Journal of Structural Stability and Dynamics
15 International Journal of Computer Mathematics
15 Advances in Computational Mathematics
14 International Journal of Numerical Methods for Heat & Fluid Flow
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Mathematics and Mechanics of Solids
12 Wave Motion
12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Numerical Algorithms
12 Multibody System Dynamics
11 SIAM Journal on Numerical Analysis
11 Journal of Elasticity
11 Continuum Mechanics and Thermodynamics
10 Journal of Applied Mathematics
9 Journal of Fluid Mechanics
9 Computational Geosciences
8 Computer Physics Communications
8 Computer Aided Geometric Design
8 Advances in Engineering Software
8 Sādhanā
8 Science China. Technological Sciences
7 Mathematics and Computers in Simulation
7 Mathematical and Computer Modelling
7 International Journal of Computational Fluid Dynamics
7 Nonlinear Dynamics
7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
7 Journal of Zhejiang University. Science A
6 International Journal of Heat and Mass Transfer
6 Mathematics of Computation
6 BIT
6 Mechanics Research Communications
6 European Journal of Mechanics. B. Fluids
6 Communications in Nonlinear Science and Numerical Simulation
5 Archive for Rational Mechanics and Analysis
5 Inverse Problems in Science and Engineering
5 Algorithms
5 AMM. Applied Mathematics and Mechanics. (English Edition)
4 Applicable Analysis
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 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
3 Computational & Mathematical Methods in Medicine
3 Advances in Mathematical Physics
3 GEM - International Journal on Geomathematics
3 International Journal of Applied and Computational Mathematics
3 SMAI Journal of Computational Mathematics
2 Journal of Applied Mathematics and Mechanics
2 Journal of Mathematical Biology
...and 110 more Serials
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Cited in 39 Fields

4,594 Mechanics of deformable solids (74-XX)
2,600 Numerical analysis (65-XX)
1,069 Fluid mechanics (76-XX)
508 Partial differential equations (35-XX)
160 Classical thermodynamics, heat transfer (80-XX)
111 Statistical mechanics, structure of matter (82-XX)
104 Biology and other natural sciences (92-XX)
78 Calculus of variations and optimal control; optimization (49-XX)
78 Optics, electromagnetic theory (78-XX)
71 Mechanics of particles and systems (70-XX)
60 Operations research, mathematical programming (90-XX)
51 Geophysics (86-XX)
42 Approximations and expansions (41-XX)
38 Probability theory and stochastic processes (60-XX)
35 Computer science (68-XX)
29 Integral equations (45-XX)
28 Ordinary differential equations (34-XX)
22 Systems theory; control (93-XX)
19 Statistics (62-XX)
14 Quantum theory (81-XX)
14 Information and communication theory, circuits (94-XX)
11 Dynamical systems and ergodic theory (37-XX)
8 Potential theory (31-XX)
8 Functional analysis (46-XX)
7 Operator theory (47-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
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4 Difference and functional equations (39-XX)
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1 Special functions (33-XX)
1 Manifolds and cell complexes (57-XX)

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