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Belytschko, Ted Bohdan (b. 1943 d. 2014)

Author ID: belytschko.ted Recent zbMATH articles by "Belytschko, Ted Bohdan"
Published as: Belytschko, Ted; Belytschko, T.; Belytschko, T. B.; Beltytschko, Ted
Homepage: https://www.nae.edu/29703/Dr-Ted-B-Belytschko
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: 182 Co-Authors with 293 Joint Publications
4,429 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 Chen, Hao
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.
...and 82 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

298 Publications have been cited 19,471 times in 7,891 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.
946
1996
Elastic crack growth in finite elements with minimal remeshing. Zbl 0943.74061
Belytschko, T.; Black, T.
824
1999
Nonlinear finite elements for continua and structures. Zbl 0959.74001
Belytschko, Ted; Liu, Wing Kam; Moran, Brian
553
2000
The extended/generalized finite element method: an overview of the method and its applications. Zbl 1202.74169
Fries, Thomas-Peter; Belytschko, Ted
461
2010
Arbitrary discontinuities in finite elements. Zbl 0981.74062
Belytschko, T.; Moës, N.; Usui, S.; Parimi, C.
323
2001
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.
314
2001
Reproducing kernel particle methods for structural dynamics. Zbl 0840.73078
Liu, Wing Kam; Jun, Sukky; Li, Shaofan; Adee, Jonathan; Belytschko, Ted
297
1995
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.
281
2002
Extended finite element method for three-dimensional crack modelling. Zbl 0963.74067
Sukumar, N.; Moës, N.; Moran, B.; Belytschko, T.
274
2000
A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. Zbl 0478.73049
Flanagan, D. P.; Belytschko, T.
257
1981
Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Zbl 1075.74703
Rabczuk, T.; Belytschko, T.
234
2004
Arbitrary branched and intersecting cracks with the extended finite element method. Zbl 0989.74066
Daux, Christophe; Moës, Nicolas; Dolbow, John; Sukumar, Natarajan; Belytschko, Ted
231
2000
A new implementation of the element free Galerkin method. Zbl 0847.73064
Lu, Y. Y.; Belytschko, T.; Gu, L.
230
1994
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.
222
2004
Moving least-square reproducing kernel methods. I: Methodology and convergence. Zbl 0883.65088
Liu, Wing Kam; Li, Shaofan; Belytschko, Ted
218
1997
Nodal integration of the element-free Galerkin method. Zbl 0918.73329
Beissel, Stephen; Belytschko, Ted
217
1996
The natural element method in solid mechanics. Zbl 0940.74078
Sukumar, N.; Moran, B.; Belytschko, T.
199
1998
A bridging domain method for coupling continua with molecular dynamics. Zbl 1079.74509
Xiao, S. P.; Belytschko, T.
180
2004
A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Zbl 1128.74051
Rabczuk, T.; Belytschko, T.
167
2007
A coupled finite element – element-free Galerkin method. Zbl 0840.73058
Belytschko, T.; Organ, D.; Krongauz, Y.
166
1995
Hourglass control in linear and nonlinear problems. Zbl 0522.73063
Belytschko, Ted; Ong, Jame Shau-Jen; Liu, Wing Kam; Kennedy, James M.
154
1984
Nonlinear finite elements for continua and structures. 2nd updated and extended ed. Zbl 1279.74002
Belytschko, Ted; Liu, Wing Kam; Moran, Brian; Elkhodary, Khalil
153
2013
Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment. Zbl 1032.74662
Belytschko, Ted; Chen, Hao; Xu, Jingxiao; Zi, Goangseup
150
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
149
1985
An extended finite element method for modeling crack growth with frictional contact. Zbl 1033.74042
Dolbow, John; Moës, Nicolas; Belytschko, Ted
149
2001
Stable particle methods based on Lagrangian kernels. Zbl 1060.74672
Rabczuk, T.; Belytschko, T.; Xiao, S. P.
143
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.
142
2001
A unified stability analysis of meshless particle methods. Zbl 0972.74078
Belytschko, Ted; Guo, Yong; Liu, Wing Kam; Xiao, Shao Ping
139
2000
A method for dynamic crack and shear band propagation with phantom nodes. Zbl 1113.74078
Song, Jeong-Hoon; Areias, Pedro M. A.; Belytschko, Ted
137
2006
An extended finite element method for two-phase fluids. Zbl 1110.74391
Chessa, J.; Belytschko, T.
137
2003
Numerical integration of the Galerkin weak form in meshfree methods. Zbl 0963.74076
Dolbow, J.; Belytschko, T.
135
1999
Element-free Galerkin methods for static and dynamic fracture. Zbl 0918.73268
Belytschko, T.; Lu, Y. Y.; Gu, L.; Tabbara, M.
134
1995
On the construction of blending elements for local partition of unity enriched finite elements. Zbl 1035.65122
Chessa, Jack; Wang, Hongwu; Belytschko, Ted
127
2003
A meshfree thin shell method for nonlinear dynamic fracture. Zbl 1194.74537
Rabczuk, T.; Areias, P. M. A.; Belytschko, T.
118
2007
Enforcement of essential boundary conditions in meshless approximations using finite elements. Zbl 0881.65098
Krongauz, Y.; Belytschko, T.
118
1996
Fast integration and weight function blending in the extended finite element method. Zbl 1195.74201
Ventura, Giulio; Gracie, Robert; Belytschko, Ted
110
2009
New crack-tip elements for XFEM and applications to cohesive cracks. Zbl 1062.74633
Zi, Goangseup; Belytschko, Ted
110
2003
Random field finite elements. Zbl 0597.73075
Liu, Wing Kam; Belytschko, Ted; Mani, A.
109
1986
Discontinuous enrichment in finite elements with a partition of unity method. Zbl 0981.74057
Dolbow, J.; Moës, N.; Belytschko, T.
109
2000
Dynamic fracture using element-free Galerkin methods. Zbl 0953.74077
Belytschko, T.; Tabbara, M.
107
1996
Analysis of thin shells by the element-free Galerkin method. Zbl 0929.74126
Krysl, Petr; Belytschko, Ted
102
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.
98
2002
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.
98
2010
Efficient implementation of quadrilaterals with high coarse-mesh accuracy. Zbl 0579.73075
Belytschko, Ted; Bachrach, William E.
95
1986
The extended finite element method (XFEM) for solidification problems. Zbl 1003.80004
Chessa, Jack; Smolinski, Patrick; Belytschko, Ted
95
2002
A finite element with embedded localization zones. Zbl 0653.73032
Belytschko, Ted; Fish, Jacob; Engelmann, Bruce E.
95
1988
Analysis of thin plates by the element-free Galerkin method. Zbl 0841.73064
Krysl, P.; Belytschko, T.
93
1995
Non-linear transient finite element analysis with convected co-ordinates. Zbl 0265.73062
Belytschko, T.; Hsieh, B. J.
93
1973
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
92
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
90
2003
Adaptivity for structured meshfree particle methods in 2D and 3D. Zbl 1145.74041
Rabczuk, T.; Belytschko, T.
89
2005
Continuous meshless approximations for nonconvex bodies by diffraction and transparency. Zbl 0864.73076
Organ, D.; Fleming, M.; Terry, T.; Belytschko, T.
84
1996
Multiscale aggregating discontinuities: a method for circumventing loss of material stability. Zbl 1195.74008
Belytschko, Ted; Loehnert, Stefan; Song, Jeong-Hoon
83
2008
On the completeness of meshfree particle methods. Zbl 0939.74076
Belytschko, T.; Krongauz, Y.; Dolbow, J.; Gerlach, C.
83
1998
An extended finite element method with higher-order elements for curved cracks. Zbl 1038.74651
Stazi, F. L.; Budyn, E.; Chessa, J.; Belytschko, T.
83
2003
Topology optimization with implicit functions and regularization. Zbl 1062.74583
Belytschko, T.; Xiao, S. P.; Parimi, C.
81
2003
Analysis of three-dimensional crack initiation and propagation using the extended finite element method. Zbl 1122.74498
Areias, Pedro M. A.; Belytschko, Ted
80
2005
Contact-impact by the pinball algorithm with penalty and Lagrangian methods. Zbl 0825.73984
Belytschko, Ted; Neal, Mark O.
79
1991
Localization limiters in transient problems. Zbl 0636.73021
Lasry, David; Belytschko, Ted
74
1988
A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452
Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam
73
2014
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.
73
2011
Explicit algorithms for the nonlinear dynamics of shells. Zbl 0512.73073
Beltytschko, Ted; Lin, Jerry I.; Tsay, Chen-Shyh
72
1984
Assumed strain stabilization of the eight node hexahedral element. Zbl 0781.73061
Belytschko, Ted; Bindeman, Lee P.
71
1993
The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns. Zbl 1129.74045
Fries, Thomas-Peter; Belytschko, Ted
70
2006
Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua. Zbl 0626.73076
Liu, Wing Kam; Chang, Herman; Chen, Jiun-Shyan; Belytschko, Ted
69
1988
Stability of explicit-implicit mesh partitions in time integration. Zbl 0398.65059
Belytschko, Ted; Mullen, Robert
69
1978
Consistent pseudo-derivatives in meshless methods. Zbl 0894.73156
Krongauz, Y.; Belytschko, T.
69
1997
The element free Galerkin method for dynamic propagation of arbitrary 3-D cracks. Zbl 0953.74078
Krysl, Petr; Belytschko, Ted
69
1999
Shear and membrane locking in curved \(C^ 0\) elements. Zbl 0509.73072
Stolarski, Henryk; Belytschko, Ted
68
1983
An atomistic-based finite deformation membrane for single layer crystalline films. Zbl 1006.74061
Arroyo, Marino; Belytschko, Ted
68
2002
Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear problems. Zbl 0742.73019
Belytschko, T.; Bindeman, L. P.
66
1991
Immersed particle method for fluid-structure interaction. Zbl 1183.74367
Rabczuk, Timon; Gracie, Robert; Song, Jeong-Hoon; Belytschko, Ted
66
2010
A stabilization procedure for the quadrilateral plate element with one- point quadrature. Zbl 0502.73058
Belytschko, Ted; Tsay, Chen-Shyh
65
1983
A précis of developments in computational methods for transient analysis. Zbl 0533.73002
Hughes, T. J. R.; Belytschko, T.
65
1983
An enriched finite element method and level sets for axisymmetric two-phase flow with surface tension. Zbl 1032.76591
Chessa, Jack; Belytschko, Ted
65
2003
A comparative study on finite element methods for dynamic fracture. Zbl 1160.74048
Song, Jeong-Hoon; Wang, Hongwu; Belytschko, Ted
63
2008
Dispersion analysis of finite element semidiscretizations of the two- dimensional wave equation. Zbl 0466.73102
Mullen, Robert; Belytschko, Ted
62
1982
Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods. Zbl 1195.74175
Gracie, Robert; Wang, Hongwu; Belytschko, Ted
62
2008
A first course in finite elements. With CD-ROM. Zbl 1135.74001
Fish, Jacob; Belytschko, Ted
59
2007
EFG approximation with discontinuous derivatives. Zbl 0906.73063
Krongauz, Y.; Belytschko, T.
59
1998
Physical stabilization of the 4-node shell element with one point quadrature. Zbl 0846.73058
Belytschko, Ted; Leviathan, Itai
58
1994
Element-free Galerkin method for wave propagation and dynamic fracture. Zbl 1067.74599
Lu, Y. Y.; Belytschko, T.; Tabbara, M.
57
1995
Probabilistic finite elements for nonlinear structural dynamics. Zbl 0576.73066
Liu, Wing Kam; Belytschko, Ted; Mani, A.
56
1986
Superconvergent patch recovery with equilibrium and conjoint interpolant enhancements. Zbl 0789.73064
Blacker, Ted; Belytschko, Ted
56
1994
Regularization of material instabilities of meshfree approximations with intrinsic length scales. Zbl 0987.74079
Chen, Jiun-Shyan; Wu, Cheng-Tang; Belytschko, Ted
56
2000
Mixed methods for time integration. Zbl 0403.73002
Belytschko, T.; Yen, H.-J.; Mullen, R.
56
1979
The extended finite element method for rigid particles in Stokes flow. Zbl 0998.76054
Wagner, G. J.; Moës, N.; Liu, W. K.; Belytschko, T.
55
2001
Modeling fracture in Mindlin-Reissner plates with the extended finite element method. Zbl 0993.74061
Dolbow, John; Moës, Nicolas; Belytschko, Ted
55
2000
An error estimate in the EFG method. Zbl 0910.73060
Chung, H.-J.; Belytschko, T.
55
1998
A method for multiple crack growth in brittle materials without remeshing. Zbl 1075.74638
Budyn, É.; Zi, G.; Moës, N.; Belytschko, T.
55
2004
An Eulerian-Lagrangian method for fluid-structure interaction based on level sets. Zbl 1119.74053
Legay, A.; Chessa, J.; Belytschko, T.
55
2006
Computational methods for transient analysis. Zbl 0521.00025
53
1983
Vector level sets for description of propagating cracks in finite elements. Zbl 1032.74687
Ventura, G.; Budyn, E.; Belytschko, T.
51
2003
Membrane locking and reduced integration for curved elements. Zbl 0482.73060
Stolarski, H.; Belytschko, T.
50
1982
Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions. Zbl 0918.73125
Krysl, Petr; Belytschko, Ted
49
1997
Numerical methods for the limit analysis of plates. Zbl 0172.52003
Hodge, Philip G. jun.; Belytschko, T.
47
1968
Advances in multiple scale kernel particle methods. Zbl 0868.73091
Liu, W. K.; Chen, Y.; Chang, C. T.; Belytschko, T.
47
1996
Second-order accurate derivatives and integration schemes for meshfree methods. Zbl 1352.65390
Duan, Qinglin; Li, Xikui; Zhang, Hongwu; Belytschko, Ted
46
2012
A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452
Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam
73
2014
Consistent element-free Galerkin method. Zbl 1352.65493
Duan, Qinglin; Gao, Xin; Wang, Bingbing; Li, Xikui; Zhang, Hongwu; Belytschko, Ted; Shao, Yulong
19
2014
A regularized phenomenological multiscale damage model. Zbl 1352.74024
Liu, Yang; Filonova, Vasilina; Hu, Nan; Yuan, Zifeng; Fish, Jacob; Yuan, Zheng; Belytschko, Ted
8
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
153
2013
Archetype-blending continuum theory. Zbl 1297.74087
Elkhodary, 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 1454.76056
Liu, Zhanli; Oswald, Jay; Belytschko, Ted
3
2013
Second-order accurate derivatives and integration schemes for meshfree methods. Zbl 1352.65390
Duan, Qinglin; Li, Xikui; Zhang, Hongwu; Belytschko, Ted
46
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.
73
2011
An XFEM/spectral element method for dynamic crack propagation. Zbl 1283.74096
Liu, Z. L.; Menouillard, T.; Belytschko, T.
13
2011
An adaptive concurrent multiscale method for the dynamic simulation of dislocations. Zbl 1216.74021
Gracie, Robert; Belytschko, Ted
9
2011
Analysis and computations of oscillating crack propagation in a heated strip. Zbl 1282.74079
Menouillard, Thomas; Belytschko, Ted
5
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
3
2011
The extended/generalized finite element method: an overview of the method and its applications. Zbl 1202.74169
Fries, Thomas-Peter; Belytschko, Ted
461
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.
98
2010
Immersed particle method for fluid-structure interaction. Zbl 1183.74367
Rabczuk, Timon; Gracie, Robert; Song, Jeong-Hoon; Belytschko, Ted
66
2010
Coarse-graining of multiscale crack propagation. Zbl 1183.74260
Belytschko, Ted; Song, Jeong-Hoon
42
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.
34
2010
A new support integration scheme for the weakform in mesh-free methods. Zbl 1188.74084
Liu, Yan; Belytschko, Ted
22
2010
Dynamic fracture with meshfree enriched XFEM. Zbl 1272.74604
Menouillard, Thomas; Belytschko, Ted
18
2010
Time dependent crack tip enrichment for dynamic crack propagation. Zbl 1425.74442
Menouillard, Thomas; Song, Jeong-Hoon; Duan, Qinglin; Belytschko, Ted
16
2010
Smoothed nodal forces for improved dynamic crack propagation modeling in XFEM. Zbl 1202.74181
Menouillard, Thomas; Belytschko, Ted
11
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
110
2009
Cracking node method for dynamic fracture with finite elements. Zbl 1155.74415
Song, Jeong-Hoon; Belytschko, Ted
42
2009
Concurrently coupled atomistic and XFEM models for dislocations and cracks. Zbl 1183.74278
Gracie, Robert; Belytschko, Ted
24
2009
The extended finite element method for fracture in composite materials. Zbl 1257.74153
Huynh, D. B. P.; Belytschko, T.
24
2009
Gradient and dilatational stabilizations for stress-point integration in the element-free Galerkin method. Zbl 1156.74393
Duan, Qinglin; Belytschko, Ted
18
2009
Element-local level set method for three-dimensional dynamic crack growth. Zbl 1183.74269
Duan, Qinglin; Song, Jeong-Hoon; Menouillard, Thomas; Belytschko, Ted
17
2009
Bridging domain methods for coupled atomistic-continuum models with \(L^2\) or \(H^1\) couplings. Zbl 1158.74309
Guidault, P.-A.; Belytschko, T.
14
2009
Fluid – structure interaction by the discontinuous-Galerkin method for large deformations. Zbl 1195.74204
Wang, Hongwu; Belytschko, Ted
13
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
10
2009
Thermal softening induced plastic instability in rate-dependent materials. Zbl 1252.74019
Ling, Xianwu; Belytschko, T.
9
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
5
2009
Multiscale aggregating discontinuities: a method for circumventing loss of material stability. Zbl 1195.74008
Belytschko, Ted; Loehnert, Stefan; Song, Jeong-Hoon
83
2008
A comparative study on finite element methods for dynamic fracture. Zbl 1160.74048
Song, Jeong-Hoon; Wang, Hongwu; Belytschko, Ted
63
2008
Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods. Zbl 1195.74175
Gracie, Robert; Wang, Hongwu; Belytschko, Ted
62
2008
Convergence and stabilization of stress-point integration in mesh-free and particle methods. Zbl 1158.74525
Fries, Thomas-Peter; Belytschko, Ted
30
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
25
2008
Parametric enrichment adaptivity by the extended finite element method. Zbl 1159.74436
Waisman, Haim; Belytschko, Ted
22
2008
Conservation properties of the bridging domain method for coupled molecular/continuum dynamics. Zbl 1195.74303
Xu, Mei; Belytschko, Ted
20
2008
On a new extended finite element method for dislocations: Core enrichment and nonlinear formulation. Zbl 1162.74464
Gracie, Robert; Oswald, Jay; Belytschko, Ted
14
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.
167
2007
A meshfree thin shell method for nonlinear dynamic fracture. Zbl 1194.74537
Rabczuk, T.; Areias, P. M. A.; Belytschko, T.
118
2007
A first course in finite elements. With CD-ROM. Zbl 1135.74001
Fish, Jacob; Belytschko, Ted
59
2007
A multiscale projection method for macro/microcrack simulations. Zbl 1194.74436
Loehnert, Stefan; Belytschko, Ted
45
2007
A simplified mesh-free method for shear bands with cohesive surfaces. Zbl 1194.74536
Rabczuk, T.; Areias, P. M. A.; Belytschko, T.
44
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.
39
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
30
2007
A new fast finite element method for dislocations based on interior discontinuities. Zbl 1194.74402
Gracie, Robert; Ventura, Giulio; Belytschko, Ted
25
2007
On XFEM applications to dislocations and interfaces. Zbl 1126.74046
Belytschko, Ted; Gracie, Robert
24
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
20
2007
Crack shielding and amplification due to multiple microcracks interacting with a macrocrack. Zbl 1198.74075
Loehnert, Stefan; Belytschko, Ted
13
2007
The intrinsic partition of unity method. Zbl 1162.74049
Fries, Thomas-Peter; Belytschko, Ted
13
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
Two-scale method for shear bands: thermal effects and variable bandwidth. Zbl 1194.74355
Areias, Pedro M. A.; Belytschko, Ted
11
2007
New shape functions for arbitrary discontinuities without additional unknowns. Zbl 1308.74146
Fries, Thomas-Peter; Belytschko, Ted
3
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
137
2006
The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns. Zbl 1129.74045
Fries, Thomas-Peter; Belytschko, Ted
70
2006
An Eulerian-Lagrangian method for fluid-structure interaction based on level sets. Zbl 1119.74053
Legay, A.; Chessa, J.; Belytschko, T.
55
2006
Analysis of fracture in thin shells by overlapping paired elements. Zbl 1120.74048
Areias, Pedro M. A.; Song, J. H.; Belytschko, Ted
45
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
39
2006
Application of particle methods to static fracture of reinforced concrete structures. Zbl 1197.74175
Rabczuk, T.; Belytschko, T.
38
2006
Two-scale shear band evolution by local partition of unity. Zbl 1110.74841
Areias, Pedro M. A.; Belytschko, Ted
27
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.
9
2006
Adaptivity for structured meshfree particle methods in 2D and 3D. Zbl 1145.74041
Rabczuk, T.; Belytschko, T.
89
2005
Analysis of three-dimensional crack initiation and propagation using the extended finite element method. Zbl 1122.74498
Areias, Pedro M. A.; Belytschko, Ted
80
2005
Nonlinear analysis of shells with arbitrary evolving cracks using XFEM. Zbl 1080.74043
Areias, Pedro M. A.; Belytschko, Ted
41
2005
Strong and weak arbitrary discontinuities in spectral finite elements. Zbl 1167.74045
Legay, A.; Wang, H. W.; Belytschko, T.
38
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
21
2005
Continuum-discontinuum modelling of shear bands. Zbl 1121.74476
Samaniego, Esteban; Belytschko, Ted
21
2005
Dislocations by partition of unity. Zbl 1078.74665
Ventura, G.; Moran, B.; Belytschko, T.
19
2005
Continuum mechanics modeling and simulation of carbon nanotubes. Zbl 1106.74006
Arroyo, Marino; Belytschko, Ted
15
2005
Material stability analysis of particle methods. Zbl 1060.74070
Xiao, S. P.; Belytschko, T.
12
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
2
2005
Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Zbl 1075.74703
Rabczuk, T.; Belytschko, T.
234
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.
222
2004
A bridging domain method for coupling continua with molecular dynamics. Zbl 1079.74509
Xiao, S. P.; Belytschko, T.
180
2004
Stable particle methods based on Lagrangian kernels. Zbl 1060.74672
Rabczuk, T.; Belytschko, T.; Xiao, S. P.
143
2004
A method for multiple crack growth in brittle materials without remeshing. Zbl 1075.74638
Budyn, É.; Zi, G.; Moës, N.; Belytschko, T.
55
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
43
2004
Arbitrary discontinuities in space-time finite elements by level sets and X-FEM. Zbl 1077.76039
Chessa, Jack; Belytschko, Ted
40
2004
Finite element methods for the non-linear mechanics of crystalline sheets and nanotubes. Zbl 1047.74049
Arroyo, M.; Belytschko, T.
25
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
24
2004
Homogenization of sandwich structures. Zbl 1075.74616
Rabczuk, T.; Kim, J. Y.; Samaniego, E.; Belytschko, T.
18
2004
Singular enrichment finite element method for elastodynamic crack propagation. Zbl 1076.74051
Belytschko, Ted; Chen, Hao
17
2004
Moving particle finite element method with global smoothness. Zbl 1065.74608
Hao, Su; Liu, Wing Kam; Belytschko, Ted
14
2004
Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment. Zbl 1032.74662
Belytschko, Ted; Chen, Hao; Xu, Jingxiao; Zi, Goangseup
150
2003
An extended finite element method for two-phase fluids. Zbl 1110.74391
Chessa, J.; Belytschko, T.
137
2003
On the construction of blending elements for local partition of unity enriched finite elements. Zbl 1035.65122
Chessa, Jack; Wang, Hongwu; Belytschko, Ted
127
2003
New crack-tip elements for XFEM and applications to cohesive cracks. Zbl 1062.74633
Zi, Goangseup; Belytschko, Ted
110
2003
...and 198 more Documents
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Cited by 10,134 Authors

160 Belytschko, Ted Bohdan
131 Liu, Wing Kam
121 Liu, Gui-Rong
98 Rabczuk, Timon
67 Liew, Kim Meow
66 Chen, Jiun-Shyan
58 Bordas, Stéphane Pierre Alain
58 Dehghan Takht Fooladi, Mehdi
56 Wriggers, Peter
51 Hughes, Thomas J. R.
51 Zheng, Hong
50 Nguyen-Xuan, Hung
49 Li, Xiaolin
48 Bazilevs, Yuri
44 Sukumar, Natarajan
42 Li, Shaofan
41 Oñate Ibáñez de Navarra, Eugenio
38 Areias, Pedro M. A.
38 Bui, Tinh Quoc
36 de Borst, René
36 Sluys, Lambertus Johannes
36 Wang, Dongdong
36 Zhuang, Xiaoying
35 Fish, Jacob
35 Sladek, Jan
35 Sladek, Vladimir
35 Yang, Yongtao
34 Li, Guangyao
33 Steinmann, Paul
33 Wen, Pihua
32 Natarajan, Sundararajan
32 Zhang, Lu-Wen
31 Babuška, Ivo
31 Moës, Nicolas
31 Waisman, Haim
31 Zhang, Chuanzeng
30 Cheng, Yumin
30 Combescure, Alain
30 Gravouil, Anthony
30 Khoei, Amir R.
30 Zhang, GuiYong
28 Benson, David J.
28 Duarte, Carlos Armando
28 Nguyen-Thoi, Trung
28 Wall, Wolfgang A.
27 Gu, Yuantong
27 Paulino, Glaucio H.
27 Shivanian, Elyas
27 Sigmund, Ole
27 Song, Chongmin
25 Dolbow, John E.
25 Huerta, Antonio
24 Abbaszadeh, Mostafa
24 Belinha, Jorge
24 Bonet, Javier
24 Cui, Xiangyang
24 Han, Xu
24 Idelsohn, Sergio Rodolfo
24 Schillinger, Dominik
23 Hsu, Ming-Chen
22 Ibrahimbegović, Adnan
22 Natal Jorge, Renato Manuel
21 Ouyang, Jie
20 Askes, Harm
20 Cueto, Elias
20 Farhat, Charbel H.
20 Nguyen-Thanh, Nhon
20 Scott, Michael A.
20 Tamma, Kumar K.
20 Zhang, Zhiqian
19 Boroomand, Bijan
19 Gil, Antonio J.
19 Ortiz, Michael
19 Zhang, Xiong
18 Abbasbandy, Saeid
18 Augarde, Charles Edward
18 Banerjee, Uday
18 Düster, Alexander
18 Fries, Thomas-Peter
18 Kiendl, Josef
18 Owen, David Roger Jones
18 Rank, Ernst
18 Zhang, Hongwu
18 Zhang, Xiaohua
17 de Lorenzis, Laura
17 Doblaré, Manuel
17 Guo, Xu
17 Oliver, Javier
17 Reddy, Junuthula Narasimha
17 Reese, Stefanie
17 Réthoré, Julien
17 Singh, Indra Vir
17 Stolarski, Henryk K.
17 Yu, Tiantang
16 Chen, Jinru
16 Duan, Qinglin
16 Hu, Dean
16 Huespe, Alfredo E.
16 Joldes, Grand Roman
16 Miller, Karol
...and 10,034 more Authors
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Cited in 251 Serials

2,277 Computer Methods in Applied Mechanics and Engineering
1,008 International Journal for Numerical Methods in Engineering
671 Computational Mechanics
626 Engineering Analysis with Boundary Elements
369 Journal of Computational Physics
184 International Journal of Computational Methods
183 Applied Mathematical Modelling
152 Computers & Mathematics with Applications
123 European Journal of Mechanics. A. Solids
110 Applied Mathematics and Computation
92 Communications in Numerical Methods in Engineering
86 Acta Mechanica
85 Journal of Computational and Applied Mathematics
80 Computers and Fluids
76 Mathematical Problems in Engineering
75 Journal of the Mechanics and Physics of Solids
59 Archives of Computational Methods in Engineering
57 Applied Numerical Mathematics
56 International Journal of Solids and Structures
56 Engineering Computations
54 International Journal for Numerical Methods in Fluids
47 International Journal of Fracture
45 Acta Mechanica Sinica
42 Meccanica
38 Journal of Scientific Computing
37 Structural and Multidisciplinary Optimization
32 International Journal of Engineering Science
32 Numerical Methods for Partial Differential Equations
29 Mathematics and Computers in Simulation
27 SIAM Journal on Scientific Computing
24 Computer Physics Communications
24 International Journal of Plasticity
24 Applied Mathematics and Mechanics. (English Edition)
23 Archive of Applied Mechanics
22 Numerische Mathematik
21 Journal of Engineering Mathematics
21 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
21 Advances in Applied Mathematics and Mechanics
20 Advances in Computational Mathematics
20 International Journal for Computational Methods in Engineering Science and Mechanics
19 International Journal for Numerical Methods in Biomedical Engineering
18 Wave Motion
18 International Journal of Computer Mathematics
18 Computational and Applied Mathematics
18 Mathematics and Mechanics of Solids
18 International Journal of Structural Stability and Dynamics
16 International Journal for Numerical and Analytical Methods in Geomechanics
15 SIAM Journal on Numerical Analysis
15 Numerical Algorithms
15 International Journal of Computational Fluid Dynamics
14 International Journal of Numerical Methods for Heat & Fluid Flow
14 Multibody System Dynamics
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 Continuum Mechanics and Thermodynamics
13 Computational Geosciences
13 Journal of Applied Mathematics
12 Journal of Fluid Mechanics
12 Computer Aided Geometric Design
12 Journal of Elasticity
12 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
12 Communications in Computational Physics
11 Communications in Nonlinear Science and Numerical Simulation
11 Engineering Optimization
8 Advances in Engineering Software
8 European Journal of Mechanics. B. Fluids
8 Sādhanā
8 Inverse Problems in Science and Engineering
8 Science China. Technological Sciences
8 AMM. Applied Mathematics and Mechanics. (English Edition)
7 Mathematics of Computation
7 Mathematical and Computer Modelling
7 Nonlinear Dynamics
7 International Journal of Numerical Analysis and Modeling
7 Journal of Zhejiang University. Science A
7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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 GAMM-Mitteilungen
5 Algorithms
5 Journal of Theoretical Biology
4 Inverse Problems
4 Mathematical Methods in the Applied Sciences
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Computational Methods in Applied Mathematics
4 Journal of Computational Acoustics
4 PAMM. Proceedings in Applied Mathematics and Mechanics
4 East Asian Journal on Applied Mathematics
4 International Journal of Applied and Computational Mathematics
3 Modern Physics Letters B
3 Physics Letters. A
3 Calcolo
3 Computing
3 Journal of Optimization Theory and Applications
3 Journal of Computational Mathematics
3 Finite Elements in Analysis and Design
3 COMPEL
3 Applied Mathematics Letters
...and 151 more Serials
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Cited in 44 Fields

5,646 Mechanics of deformable solids (74-XX)
3,458 Numerical analysis (65-XX)
1,354 Fluid mechanics (76-XX)
676 Partial differential equations (35-XX)
172 Classical thermodynamics, heat transfer (80-XX)
136 Statistical mechanics, structure of matter (82-XX)
136 Biology and other natural sciences (92-XX)
108 Calculus of variations and optimal control; optimization (49-XX)
94 Optics, electromagnetic theory (78-XX)
84 Mechanics of particles and systems (70-XX)
80 Operations research, mathematical programming (90-XX)
77 Geophysics (86-XX)
70 Computer science (68-XX)
46 Probability theory and stochastic processes (60-XX)
45 Approximations and expansions (41-XX)
42 Integral equations (45-XX)
33 Ordinary differential equations (34-XX)
26 Systems theory; control (93-XX)
22 Statistics (62-XX)
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14 Information and communication theory, circuits (94-XX)
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