Academic Publications by
Ted Belytschko


Editorships

Editor, International Journal for Numerical Methods in Engineering, (1997-present)
Honorary Editor, International Journal of Computational Methods, (2003-present)
Honorary Editor, Meshfree and Creative Computational Methods (MCCM) (2003-present)

Access to copies of these publications is by password only. In order to access copies of the publications listed, please use tedb as the User ID and the password. If you continue to be unable to access the publications, email n-flannery@northwestern.edu


Publications

T. Rabczuk, J.-H. Song, T. Belytschko, "Simulations of instability in dynamic fracture by cracking particles methods," Engineering Fracture Mechanics 76: 730-741 (2009)
Q. Duan, T. Belytschko, "Gradient and dilatational stabilizations for stress-point integration in the element-free Galerkin method," International Journal for Numerical Methods in Engineering, 77(6):776-798 (2009)
J-H Song, T. Belytschko, "Cracking node method for dynamic fracture with finite elements," International Journal for Numerical Methods in Engineering, 77(3):360-385 (2009)
D.B.P. Huynh, T. Belytschko, "The extended finite element method for fracture in composite materials," International Journal for Numerical Methods in Engineering, 77(2):214-239 (2009)
G. Ventura, R. Gracie, T. Belytschko, "Fast integration and weight function blending in the extended finite element method," International Journal for Numerical Methods in Engineering, 77(1):1-29 (2009)
H. Wang, T. Belytschko, "Fluid-structure interaction by the discontinuous-Galerkin method for large deformations," International Journal for Numerical Methods in Engineering, 77(1):30-49 (2009)
J.H. Song, H.W. Wang, T. Belytschko, "A comparative study on finite element methods for dynamic fracture," Computational Mechanics, 42 (2):239-250 (2008)
R. Gracie, H. Wang, T. Belytschko, "Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods," International Journal for Numerical Methods in Engineering, 74:1645-1669 (2008)
T.-P. Fries, T. Belytschko, "Convergence and stabilization of stress-point integration in mesh-free and particle methods," International Journal for Numerical Methods in Engineering, 74:1067-1087 (2008)
H. Wang, J. Chessa, W.K. Liu, T. Belytschko, "The immersed/fictitious element method for fluid-structure interaction: Volumetric consistency, compressiblity and thin members," International Journal for Numerical Methods in Engineering, 74:32-55 (2008)
H. Waisman, T. Belytschko, "Parametric enrichment adaptivity by the extended finite element method," International Journal for Numerical Methods in Engineering, 73:1671-1692 (2008)
Q. Lu, N. Marks, G.C. Schatz, T. Belytschko, "Nanoscale fracture of tetrahedral amorphous carbon by molecular dynamics: Flaw size insensitivity," Physical Review B, 77(1): Art. No. 014109, 2008.
R. Gracie, J. Oswald, T. Belytschko, "On a new extended finite element method for dislocations: Core enrichment and nonlinear formulation," Journal of the Mechanics and Physics of Solids, 56: 200-214 (2008)
S. Zhang, T. Zhu, T. Belytschko, "Atomistic and multiscale analyses of brittle fracture in crystal lattices," Physical Review B, 76: Art. No. 094114 (2007)
T. Belytschko, S. Loehnert, J.-H. Song, "Multiscale aggregating discontinuities: A method for circumventing loss of material stability," International Journal for Numerical Methods in Engineering, 73:869-894 (2007)
J.-H. Song, T. Belytschko, "Dynamic Fractures of Shells Subjected to Impulsive Loads," Journal of Applied Mechanics, in press December 2007
R. Khare, SL Mielke, JT Paci, SL Zhang, R. Ballarini, GC Schatz, T. Belytschko, "Coupled quantum mechanical/molecular mechanical modeling of the fracture of defective carbon nanotubes and graphene sheets," Physical Review B, 75(7): Art. No. 075412 Feb 2007
T. Rabczuk, P. Areias, T. Belytschko, "A meshfree thin shell method for non-linear dynamic fracture," International Journal for Numerical Methods in Engineering, 72: 525-548 (2007)
S. Loehnert, T. Belytschko, "Crack shielding and amplification due to multiple microcracks interacting with a macrocrack," International Journal of Fracture, 145:1-8 (2007)
R. Gracie, T. Belytschko,"On XFEM applications to dislocations and interface," International Journal of Plasticity, 23: 1721-1738 (2007)
L. Yaling, W.K. Liu, T. Belytschko, N Patankar, A.C. To, A. Kopacz, J.-H. Chung, "Immersed electrokinetic finite element method," International Journal for Numerical Methods in Engineering, 71 (4): 379-405 (2007)
P.-A. Guidault, T. Belytschko, "On the L2 and the H1 couplings for an overlapping domain decomposition method using Lagrange multipliers," International Journal for Numerical Methods in Engineering, 70:322-350 (2007)
S. Zhang, R. Khare, Q. Lu, T. Belytschko, "A bridging domain and strain computation method for coupled atomistic-continuum modelling of solids," International Journal for Numerical Methods in Engineering, 70:913-933 (2007)
S.L. Mielke, T. Belytschko, G.C. Schatz, "Nanoscale Fracture Mechanics," Annual Review of Physical Chemistry, 58:185-209 (2007)
D.W. Kim, W.K. Liu, Y.-C. Yoon, T. Belytschko, S.-H. Lee, "Meshfree Point Collocation Method with Intrinsic Enrichment for Interface Problems," Computational Mechanics, in press (2007)
T. Rabczuk, P.M.A. Areias, T. Belytschko, "A simplified mesh-free method for shear bands with cohesive surfaces," International Journal for Numerical Methods in Engineering, 69: 993-1021 (2007)
R. Gracie, G. Ventura, T. Belytschko, "A new fast finite element method for dislocations based on interior discontinuities," International Journal for Numerical Methods in Engineering, 69: 423-441 (2007)
D.W. Kim, Y.-C. Yoon, W.K. Liu, T. Belytschko, "Extrinsic meshfree approximation using asymptotic expansion for interfacial discontinuity of derivative," Journal of Computational Physics, 221: 370-394 (2007)
T. Rabczuk, E. Samaniego, T. Belytschko, "Simplified model for predicting impulsive loads on submerged structures to account for fluid-structure interaction," International Journal of Impact Engineering, 34 (2): 163-177 (2007)
T.-P. Fries, T. Belytschko, "The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns," International Journal for Numerical Methods in Engineering, 68: 1358-1385 (2006)
Y-C Yoon, S-H Lee, T. Belytschko, "Enriched Meshfree Collocation Method with Diffuse Derivatives for Elastic Fracture," Computers and Mathematics with Applications, 51(8):1349-1366 (2006)
J.T. Paci, T. Belytschko, G.C. Schatz, "Mechanical properties of ultrananocrystalline diamond prepared in a nitrogen-rich plasma: A theoretical study," Physical Review B, 74 (18): 184112, 1-9 (NOV 2006)
P. Areias, T. Belytschko, "Analysis of Finite Strain Anisotropic Elastoplastic Fracture in Thin Plates and Shells," Aerosp. Engrg, 19 (4): 259-270 (2006)
P. Areias, J.H. Song, T. Belytschko, "Analysis of fracture in thin shells by overlapping paired elements," Computer Methods in Applied Mechanics and Engineering, 195: 5343-5360 (2006)
J-H Song, P. Areias, T. Belytschko, "A method for dynamic crack and shear band propagation with phantom nodes," International Journal for Numerical Methods in Engineering, 67: 868-893 (2006)
P. Areias, T. Belytschko, "Two-scale shear band evolution by local partition of unity," International Journal for Numerical Methods in Engineering, 66:878-910 (2006)
T. Rabczuk, T. Belytschko, "Application of particle methods to static fracture of reinforced concrete structures," International Journal of Fracture, 137 (1-4): 19-49 (2006)
A. Legay, J. Chessa, T. Belytschko, "An Eulerian-Lagrangian method for fluid-structure interaction based on level sets," Computer Methods in Applied Mechanics and Engineering, 195: 2070-2087 (2006)
S. Zhang, R. Khare, T. Belytschko, K.J. Hsia, S.L. Mielke, G.C. Schatz, "Transition states and minimum energy pathways for the collapse of carbon nanotubes," Physical Review B, 73 (7): Art. No. 075423 (2006)
J. Chessa, T. Belytschko, "A local space-time discontinuous finite element method," Computer Methods in Applied Mechanics and Engineering, 195: 1325-1343 (2006)
P. Areias, T. Belytschko "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 [Comput. Methods Appl. Mech. Engrg. 193 (2004) 3523-3540]," Computer Methods in Applied Mechanics and Engineering, 195:1275-1276 (2006)
J. Xu, T. Belytschko, "Discontinuous Radial Basis Function Approximations for Meshfree Methods" in Meshfree Methods for Partial Differential Equations II, Michael Griebel and Marc Alexander Schweitzer, editors, Springer Verlag, Berlin, Germany (2005)
J. T. Paci, T. Belytschko, G. C. Schatz, "The mechanical properties of single-crystal and ultrananocrystalline diamond: A theoretical study," Chemical Physics Letters, 414:351-358 (2005)
R. Ballarini, R. Kayacan, F.-J. Ulm, T. Belytschko, A.H. Heuer, "Biological Structures Mitigate Catastrophic Fracture Through Various Strategies," International Journal of Fracture, 135:187-197 (2005)
S. Wu, G. Li, T. Belytschko, "A DKT shell element for dynamic large deformation analysis," Communications in Numerical Methods in Engineering, 21:651-674 (2005)
A. Legay, H.W. Wang, T. Belytschko, "Strong and Weak arbitrary discontinuities in spectral finite elements," International Journal for Numerical Methods in Engineering, 64:991-1008 (2005)
P. Areias, J-H Song, T. Belytschko, "A finite-strain quadrilateral shell element based on discrete Kirchhoff-Love constraints," International Journal for Numerical Methods in Engineering, 64:1166-1206 (2005)

W.J.T. Daniel, T. Belytschko, "Suppression of spurious intermediate frequency modes in under-integrated elements by combined stiffness/viscous stabilization," International Journal for Numerical Methods in Engineering, 64:335-353 (2005)

GS Zi, H. Chen, JX Xu, T. Belytschko, "The extended finite element method for dynamic fractures," Shock and Vibration, 12 (1): 9-23 (2005)

SP Xiao, T. Belytschko, "Material stability analysis of particle methods," Advances in Computational Mathematics, 23:171-190 (2005)

T. Rabczuk, T. Belytschko, "Adaptivity for structured meshfree particle methods in 2D and 3D," International Journal for Numerical Methods in Engineering, 63:1559-1582 (2005)

P. Areias, T. Belytschko, "Analysis of three-dimensional crack initiation and propagation using the extended finite element method," International Journal for Numerical Methods in Engineering, 63:760-788 (2005)

S. Zhang, S. L. Mielke, R. Khare, D. Troya, R. S. Ruoff, G. C. Schatz, T. Belytschko, "Mechanics of defects in carbon nanotubes: Atomistic and multiscale simulations," Physical Review, 71:115403 (2005)

E. Samaniego, T. Belytschko, "Continuum-discontinuum modeling of shear bands," International Journal for Numerical Methods in Engineering, 62:1857-1872 (2005)

J. T. Paci, L. Sun, T. Belytschko, G. C. Schatz, "Fracture paths and ultrananocrystalline diamond," Chemical Physics Letters, 403 (1-3):16-21 (2005)

G. Ventura, B. Moran, T. Belytschko, "Dislocations by partition of unity," International Journal for Numerical Methods in Engineering, 62:1463-1487 (2005)

M. Arroyo, T. Belytschko, "Continuum mechanics modeling and simulation of carbon nanotubes," MECCANICA, 40: 455-469 (2005)
M. Arroyo, T. Belytschko, "Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule," Physical Review B, 69:115415 (2004)

P. Areias and T. Belytschko, "Non-linear analysis of shells with arbitrary evolving cracks using XFEM," International Journal for Numerical Methods in Engineering, 62: 384-415 (2004)

J. Chessa, T. Belytschko, "Arbitrary Discontinuities in Space-Time Finite Elements by Level Sets and X-FEM," International Journal for Numerical Methods in Engineering, 61 (15): 2595-2614 (2004)
E. Budyn, G. Zi, N. Moes, T. Belytschko, "A method for multiple crack growth in brittle materials without remeshing," International Journal for Numerical Methods in Engineering, 61: 1741-1770 (2004)
T. Rabczuk, T. Belytschko, "Cracking particles: a simplified meshfree method for arbitrary evolving cracks," International Journal for Numerical Methods in Engineering, 61: 2316-2343 (2004)

T. Rabczuk, J.Y. Kim, E. Samaniego, T. Belytschko, "Homogenization of sandwich structures," International Journal for Numerical Methods in Engineering, 61: 1009-1027 (2004)

J.K. Guest, J.H. Prevost, T. Belytschko, "Achieving Minimum Length Scale in Topology Optimization Using Nodal Design Variables and Projections Functions," International Journal of Computational Methods, 61: 238-54 (2004)

T. Belytschko, H. Chen, "Singular Enrichment Finite Element Method for Elastodynamic Crack Propagation," International Journal of Computational Methods, 1 (1):1-15 (2004)

S.L. Mielke, D. Troya, S. Zhang, J-L Li, S. Xiao, R. Car, R.S. Ruoff, G.C. Schatz, T. Belytschko, "The role of vacancy defects and holes in the fracture of carbon nanotubes," Chemical Physics Letters, 390 (4-6): 413-420 (2004)

J.S.-Chen, X. Zhang, T. Belytschko, "An implicit gradient model by a reproducing kernel strain regularization in strain localization problems," Computer Methods in Applied Mechanics and Engineering, 193: 2827-2844 (2004)

G. Zi, J.-H. Song, E. Budyn, S.-H. Lee, T. Belytschko, "A method for growing multiple cracks without remeshing and its application to fatigue crack growth," Modelling and Simulation in Materials Science and Engineering, 12: 901-915 (2004)

S.P. Xiao, T. Belytschko, "A bridging domain method for coupling continua with molecular dynamics," Computer Methods in Applied Mechanics and Engineering, 193:1645-1669 (2004)

T. Rabczuk, T. Belytschko, S.P. Xiao, "Stable particle methods based on Lagrangian kernels," Computer Methods in Applied Mechanics and Engineering, 193: 1035-1063 (2004)
S.-H. Lee, J.-H. Song, Y.-C. Yoon, G. Zi, T. Belytschko, "Combined extended and superimposed finite element method for cracks," International Journal for Numerical Methods in Engineering, 59: 1119-1136 (2004)
S. Hao, WK Liu, T. Belytschko, "Moving particle finite element method with global smoothness," International Journal for Numerical Methods in Engineering, 59: 1007-1020 (2004)
M. Arroyo, T. Belytschko, "Finite Element Methods for the Nonlinear Mechanics of Crystalline Sheets and Nanotubes," International Journal for Numerical Methods in Engineering, 59: 419-456 (2004)
M. Arroyo, T. Belytschko, "Nonlinear mechanical response and rippling of thick multiwalled carbon nanotubes," Phys Rev Lett 91, 91 (21): Art. No. 215505 (Nov 21, 2003)
T. Rabczuk, T. Belytschko, "An adaptive continuum/discrete crack approach for meshfree particle method," Latin American Journal of Solids and Structures, 1 (1): 141-166 (2003)
J. Chessa, T. Belytschko, "An enriched finite element method and level sets for axisymmetric two-phase flow with surface tension," International Journal for Numerical Methods in Engineering, 58: 2041-2064 (2003)
T. Belytschko, H. Chen, JX Xu, G. Zi, "Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment," International Journal for Numerical Methods in Engineering, 58: 1873-1905 (2003)
G. Ventura, E. Budyn, T. Belytschko, "Vector level sets for description of propagating cracks in finite elements," International Journal for Numerical Methods in Engineering, 58: 1571-1592 (2003)
T. Belytschko, S.P. Xiao, C. Parimi, "Topology Optimization with Implicit Functions and Regularization," International Journal for Numerical Methods in Engineering, 57 (8): 1177-1196 (2003)
J. Chessa, T. Belytschko, "An extended finite element method for two-phase fluids," J APPL MECH-T ASME 70 (1); 10-17 (2003)
J. Chessa, H. Wang, T. Belytschko, "On the construction of blending elements for local partition of unity enriched finite elements," International Journal for Numerical Methods in Engineering, 57: 1015-1038 (2003)
F.L. Stazi, E. Budyn, J. Chessa, T. Belytschko, "An extended finite element method with higher-order elements for curved cracks," Computational Mechanics, 31; 38-48 (2003)
T. Dumitrica, T. Belytschko, B.I. Yakobson, "Bond-breaking bifurcation states in carbon nanotube fracture," Journal of Chemical Physics, 118 (21); 9485-9488 (2003)
T. Belytschko, S. P. Xiao, "Coupling methods for continuum model with molecular model," International Journal for Multiscale Computational Engineering, 1 (1); 115-126 (2003)
J.T. Oden, T. Belytschko, I. Babuska, T.J.R. Hughes, "Research directions in computational mechanics," Computer Methods in Applied Mechanics and Engineering, 192: 913-922 (2003)
G. Zi, T. Belytschko, "New Crack-Tip Elements for XFEM and Applications to Cohesive Cracks," International Journal for Numerical Methods in Engineering, 57: 2221-2240 (2003)
M. Arroyo, T. Belytschko, "A finite deformation membrane based on inter-atomic potentials for the transverse mechanics of nanotubes," Mechanics of Materials, 35 (3-6): 193-215 (2003)
T Belytschko, RS Ruoff, SP Xiao, "Effects of defects on the strength of nanotubes: experimental-computational comparisons," ArXiv.org e-Print archive, physics/0205090, Los Almos (2002)
J Chessa, P Smolinski, T Belytschko, "The extended finite element method (XFEM) for solidication problems," International Journal for Numerical Methods in Engineering, 53 (8): 1959-1977 (2002)
T Belytschko, SP Xiao, GC Schatz, et al., "Atomistic simulations of nanotube fracture," Phys Rev B, 65 (25): art. No. 235430 (2002)
T. Belytschko, C. Parimi, N. Moes, N. Sukumar, S. Usui, "Structured extended finite element methods for solids defined by implicit surfaces," International Journal for Numerical Methods in Engineering, 56 (4): 609-635 (2002)
T. Belytschko, W.J.T. Daniel, G. Ventura, "A monolithic smoothing-gap algorithm for contact-impact based on the signed distance function," International Journal for Numerical Methods in Engineering, 55 (1): 101-125 (2002)
M Arroyo, T Belytschko, "An atomistic-based finite deformation membrane for single layer crystalline films," Journal of the Mechanics and Physics of Solids, 50 (9): 1941-1977 (2002)
N Moes, T Belytschko, "Extended finite element method for cohesive crack growth," Engineering Fracture Mechanics, 69 (7): 813-833 (2002)
G Ventura, JX Xu, T Belytschko, "A vector level set method and new discontinuity approximations for crack growth by EFG," International Journal for Numerical Methods in Engineering, 54 (6): 923-944 (2002)
S Li, WK Liu, AJ Rosakis, T Belytschko, W Hao, "Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition," International Journal of Solids and Structures, 39 (5): 1213-1240 (2002)
T Belytschko, S Xiao, "Stability Analysis of Particle Methods with Corrected Derivatives," Computers & Mathematics with Applications, 43 (3-5): 329-350 (2002)
A. Gravouil, N. Moes, and T. Belytschko, "Non-planar 3D crack growth by the extended finite element and level sets Part II: Level set update," International Journal for Numerical Methods in Engineering, 53 (11): 2569-2586 (2002)
N. Moes, A. Gravouil, and T. Belytschko, "Non-planar 3D crack growth by the extended finite element and level sets Part I: Mechanical model," International Journal for Numerical Methods in Engineering, 53 (11): 2549-2568 (2002)
M. Stolarska, D.L. Chopp, N. Moes, T. Belytschko, "Modelling crack growth by level sets in the extended finite element method," International Journal for Numerical Methods in Engineering, 51:943-960 (2001)
J. Dolbow, N. Moes, T. Belytschko, "An extended finite element method for modeling crack growth with frictional contact," Computer Methods in Applied Mechanics and Engineering, 190 (51-52) 6825-6846 (2001)
N. Sukumar, D.L. Chopp, N. Moes, T. Belytschko, "Modeling Holes and Inclusions by Level Sets in the Extended Finite-Element Method," Computer Methods in Applied Mechanics and Engineering, 190 (46-47): 6183-6200 (2001)
T. Belytschko, K. Mish, "Computability in non-linear solid mechanics," International Journal for Numerical Methods in Engineering, 52 (1-2):3-21 (2001)
S. Li, D. Qian, W.K. Liu, T. Belytschko, "A meshfree contact-detection algorithm," Computer Methods in Applied Mechanics and Engineering, 190: 3271-3292 (2001)
Guangyao Li, T. Belytschko, "Element-free Galerkin method for contact problems in metal forming analysis," Engineering Computations, 18 (1-2): 62-78 (2001)
P. Krysl, T. Belytschko, "ESFLIB: A library to compute the element free Galerkin shape functions," Computer Methods in Applied Mechanics and Engineering, 190 (15-17): 2181-2205 (2001)
T. Belytschko, N. Moes, S. Usui, and C. Parimi, "Arbitrary discontinuities in finite elements," International Journal for Numerical Methods in Engineering, 50 (4): 993-1013 (2001)
J. Dolbow, N. Moes, T. Belytschko, "Modeling fracture in Mindlin-Reissner plates with the extended finite element method," International Journal of Solids and Structures, 37 (48-50): 7161-7183 (2000)
L. Schwer, C. Gerlach, and T. Belytschko, "Element-Free Galerkin Simulations of Concrete Failure in Dynamic Uniaxial Tension Test," Journal of Engineering Mechanics, 126 (5): 443-454 (2000)
N. Sukumar, N. Moes, B. Moran and T. Belytschko, "Extended finite element method for three-dimensional crack modelling," International Journal for Numerical Methods in Engineering, 48 (11): 1549-1570 (2000)
P. Krysl and T. Belytschko, "An efficient linear-precision partition of unity basis for unstructured meshless methods." Communications in Numerical Methods in Engineering, 16 (4): 239-255 (2000)
C. Daux, N. Moes, J. Dolbow, N. Sukumar and T. Belytschko, "Arbitrary branched and intersecting cracks with the extended finite element method," International Journal for Numerical Methods in Engineering, 48: 1741-1760 (2000)
T. Belytschko, Y. Guo, W. K. Liu and S. P. Xiao, "A unified stability analysis of meshless particle methods," International Journal for Numerical Methods in Engineering, 48 (9): 1359-1400 (2000)
T. Belytschko, D. Organ, C. Gerlach, "Element-free Galerkin methods for dynamic fracture in concrete," Computer Methods in Applied Mechanics and Engineering, 187 (3-4): 385-399 (2000)
J.S. Chen, C.T. Wu, T. Belytschko, "Regularization of material instabilities by meshfree approximations with intrinsic length scales," International Journal for Numerical Methods in Engineering, 47 (7): 1303-1322 (2000)
Announcement "Meshfree Methods," International Journal for Numerical Methods in Engineering, 49: 721-723 (2000)
G.J. Wagner, N. Moes, W.K. Liu, T. Belytschko, "The Extended Finite Element Method for Rigid Particles in Stokes Flow," (2000)
J. Dolbow, N. Moes, T. Belytschko, "Discontinuous enrichment in finite elements with a partition of unity method," Finite Elements in Analysis and Design 36: (3-4), 235-160, (2000)
W.K. Liu, S. Hao, T. Belytschko, "Multi-scale Methods," International Journal for Numerical Methods in Engineering 47 (7): 1343-1361 (2000)
Y. Guo, M. Ortiz, T. Belytschko, and E.E. Repetto, "Triangular composite finite elements," International Journal for Numerical Methods in Engineering, 47 (1-3): 287-316 (2000)
Y. Xu, B. Moran and T. Belytschko, "Self-similar crack expansion method for the analysis of cracks in infinite medium or semi-infinite medium," Computers & Structures, 74 (3): 309-318 (1999)
J. Dolbow, T. Belytschko, "Numerical integration of the Galerkin weak form in meshfree methods," Computational Mechanics 23: 219-230 (1999)
J. Dolbow and T. Belytschko, "Volumetric Locking in the Element Free Galerkin Method," International Journal for Numerical Methods in Engineering 46 (6): 925-942 (1999)
W. K. Liu, S. Hao, T. Belytschko, S. Li, and C. T. Chang, "Multiple Scale Meshfree Methods for Damage Fracture and Localization," Computational Materials Science 16 (1-4): 197-205 (1999)
C.H. Dowding, O. Dmytryshyn and T. Belytschko, "Parallel processing for discrete element program," Computers and Geotechnics, 25 (4): 281-285 (1999)
N. Moes, J. Dolbow and T. Belytschko, "A Finite Element Method for Crack Growth without Remeshing," International Journal for Numerical Methods in Engineering Volume 46 (1): 131-150 (1999)
T. Belytschko and T. Black, "Elastic crack growth in finite elements with minimal remeshing," International Journal for Numerical Methods in Engineering 45 (5): 601-620 (1999)
T. Belytschko and M. Fleming, "Smoothing, enrichment and contact in the element-free Galerkin method," Computers and Structures, 71 (2): 173-195 (1999)
P. Krysl and T. Belytschko, "The Element Free Galerkin Method for Dynamic Propagation of Arbitrary 3-D Cracks," International Journal for Numerical Methods in Engineering, 44 (6): 767-800 (1999)
T. Belytschko, W. K. Liu, and M. Singer, "On Adaptivity and Error Criteria for Meshfree Methods," Advances in Adaptive Computational Methods in Mechanics Eds. P. Ladevèze and J.T. Oden, 217-228 (1999)
  99/12 YL Xu, B Moran, T Belytschko, “Analysis of three-dimensional edge cracks under tensile loading”, ACTA MECH SOLIDA SIN 12 (2): 174-187 (1999)
T. Belytschko, Y. Krongauz, J. Dolbow, and C. Gerlach, "On the Completeness of Meshfree Particle Methods," International Journal for Numerical Methods in Engineering, 43: 785-819 (1998)
W.J. Chung, J.W. Cho, and T. Belytschko, "On the Dynamic Effects of Explicit FEM in Sheet Metal Forming Analysis," Computational Mechanics, 15 (6): 750-776 (1998)
T. Black and T. Belytschko, "Convergence of Corrected Derivative Methods for Second-Order Linear Partial Differential Equations," International Journal for Numerical Methods in Engineering, 44 (2): 117-203 (1998)
J. Dolbow and T. Belytschko, "An Introduction to Programming the Meshless Element Free Galerkin Method," Archives of Computational Methods in Engineering, 5 (3): 207-241 (1998).
N. Sukumar, B. Moran, and T. Belytschko, "The Natural Element Method in Solid Mechanics," International Journal for Numerical Methods in Engineering, 43: 839-887 (1998)
T. Belytschko, A. Bayliss, C. Brinson, S. Carr, W. Kath, S. Krishnaswamy, B. Moran, J. Nocedal, and M. Peshkin, "Mechanics in the Engineering First Curriculum at Northwestern University," International Journal for Engineering Education, 13 (6): 457-472 (1998)
W.-R. Harn and T. Belytschko, "Adaptive Multi-Point Quadrature for Elastic-Plastic Shell Elements," Finite Elements in Analysis and Design, in press (1998)
  H.-J. Chung, T. Belytschko. "An Error Estimate in the EFG Method." Computational Mechanics, 21: 91-100 (1998).
Y. Xu, Brian Moran, and Ted Belytschko. "Uncoupled Characteristics of Three-Dimensional Planar Cracks." International Journal of Engineering Science, 36 (1): 33-48 (1998)
Y. Krongauz and T. Belytschko. "EFG Approximation with Discontinuous Derivatives," International Journal for Numerical Methods in Engineering, 41: 1215-1233 (1998).
Wing Kam Liu, Yong Guo, Sing Tang, and Ted Belytschko. "A Multiple-Quadrature Eight-Node Hexahedral Finite Element for Large Deformation Elastoplastic Analysis," Computer Methods in Applied Mechanics and Engineering, 154: 69-132 (1998).
P. Krysl and T. Belytschko, "Object-Oriented Parallelization of Explicit Structural Dynamics with PVM," Computers and Structures, 66: 259-273 (1998).
J.-P. Ponthot and T. Belytschko. "Arbitrary Lagrangian-Eulerian Formulation for Element-Free Galerkin Method," Computer Methods in Applied Mechanics and Engineering, 152: 19-46 (1998).
Sukky Jun, Wing Kam Liu, and Ted Belytschko. "Explicit Reproducing Kernel Particle Methods for Large Deformation Problems." International Journal for Numerical Methods in Engineering, 41: 137-166 (1998).
H.-J. Chung, T. Belytschko. “An Error Estimate in the EFG Method.” Computational Mechanics, Vol. 21, pp 91-100 (1998).
Y. Xu, B. Moran and T. Belytschko, "Self-Similar Crack Expansion Method for Three-Dimensional Crack Analysis," Journal of Applied Mechanics, 64: 729-737 (1997).
T. Belytschko and M. Tabbara, "Dynamic Fracture Using Element-Free Galerkin Methods," International Journal for Numerical Methods in Engineering, 39: 923-938 (1996)
T. Belytschko, Y. Y. Lu and L. Gu, “Element-Free Galerkin Methods,” International Journal for Numerical Methods in Engineering, 37: 229-256, (1994)
T. Belytschko and I. Leviathan, "Physical Stabilization of the 4-node Shell Element with One Point Quadrature," Computer Methods in Applied Mechanics and Engineering, 113, 321-350 (1994)
T. Belytschko, J.I. Lin and C.S. Tsay, "Explicit Algorithms for the Nonlinear Dynamics of Shells," Computer Methods in Applied Mechanics and Engineering, 42: 225-251 (1984)
   

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