 |
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) |
|
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). |
|
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, 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) |