Standout Papers

A finite element method for crack growth without remeshing 1994 2026 2004 2015 4.7k
  1. A finite element method for crack growth without remeshing (1999)
    John E. Dolbow, Ted Belytschko et al. International Journal for Numerical Methods in Engineering
  2. Element‐free Galerkin methods (1994)
    Ted Belytschko, Ye Lu et al. International Journal for Numerical Methods in Engineering
  3. Elastic crack growth in finite elements with minimal remeshing (1999)
    Ted Belytschko, T. Howard Black International Journal for Numerical Methods in Engineering
  4. Meshless methods: An overview and recent developments (1996)
    Ted Belytschko, Y. Krongauz et al. Computer Methods in Applied Mechanics and Engineering
  5. Cracking particles: a simplified meshfree method for arbitrary evolving cracks (2004)
    Timon Rabczuk, Ted Belytschko International Journal for Numerical Methods in Engineering
  6. Extended finite element method for cohesive crack growth (2002)
    Nicolas Moës, Ted Belytschko Engineering Fracture Mechanics
  7. The extended/generalized finite element method: An overview of the method and its applications (2010)
    Thomas‐Peter Fries, Ted Belytschko International Journal for Numerical Methods in Engineering
  8. A three-dimensional large deformation meshfree method for arbitrary evolving cracks (2007)
    Timon Rabczuk, Ted Belytschko Computer Methods in Applied Mechanics and Engineering
  9. Achieving minimum length scale in topology optimization using nodal design variables and projection functions (2004)
    James K. Guest, Jean H. Prévost et al. International Journal for Numerical Methods in Engineering
  10. Computational Methods for Transient Analysis (1985)
    Ted Belytschko, Thomas J.R. Hughes et al. Journal of Applied Mechanics
  11. Extended finite element method for three-dimensional crack modelling (2000)
    N. Sukumar, Brian J. Moran et al. International Journal for Numerical Methods in Engineering
  12. Modeling holes and inclusions by level sets in the extended finite-element method (2001)
    N. Sukumar, David L. Chopp et al. Computer Methods in Applied Mechanics and Engineering
  13. Arbitrary discontinuities in finite elements (2001)
    Ted Belytschko, Shuji Usui et al. International Journal for Numerical Methods in Engineering
  14. A uniform strain hexahedron and quadrilateral with orthogonal hourglass control (1981)
    David Flanagan, Ted Belytschko International Journal for Numerical Methods in Engineering
  15. Arbitrary branched and intersecting cracks with the extended finite element method (2000)
    John E. Dolbow, N. Sukumar et al. International Journal for Numerical Methods in Engineering
  16. Atomistic simulations of nanotube fracture (2002)
    Ted Belytschko, Shaoping Xiao et al. Physical review. B, Condensed matter
  17. Reproducing kernel particle methods for structural dynamics (1995)
    Wing Kam Liu, Sukky Jun et al. International Journal for Numerical Methods in Engineering
  18. A review of extended/generalized finite element methods for material modeling (2009)
    Ted Belytschko, Robert Gracie et al. Modelling and Simulation in Materials Science and Engineering
  19. A method for dynamic crack and shear band propagation with phantom nodes (2006)
    Jeong‐Hoon Song, P. Areias et al. International Journal for Numerical Methods in Engineering
  20. A new implementation of the element free Galerkin method (1994)
    Ye Lu, Ted Belytschko et al. Computer Methods in Applied Mechanics and Engineering
  21. A bridging domain method for coupling continua with molecular dynamics (2004)
    Shaoping Xiao, Ted Belytschko Computer Methods in Applied Mechanics and Engineering
  22. Explicit algorithms for the nonlinear dynamics of shells (1984)
    Ted Belytschko, Jerry I. Lin et al. Computer Methods in Applied Mechanics and Engineering
  23. Non‐planar 3D crack growth by the extended finite element and level sets—Part I: Mechanical model (2002)
    Nicolas Moës, Anthony Gravouil et al. International Journal for Numerical Methods in Engineering
  24. Continuum Theory for Strain‐Softening (1984)
    Zdeněk P. Bažant, Ted Belytschko et al. Journal of Engineering Mechanics
  25. ENRICHED ELEMENT-FREE GALERKIN METHODS FOR CRACK TIP FIELDS (1997)
    Yi-An Chu, Brian J. Moran et al. International Journal for Numerical Methods in Engineering
  26. The natural element method in solid mechanics (1998)
    N. Sukumar, Brian J. Moran et al. International Journal for Numerical Methods in Engineering
  27. Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment (2003)
    Ted Belytschko, Hao Chen et al. International Journal for Numerical Methods in Engineering
  28. Moving least-square reproducing kernel methods (I) Methodology and convergence (1997)
    Wing-Kam Liu, Shaofan Li et al. Computer Methods in Applied Mechanics and Engineering
  29. Hourglass control in linear and nonlinear problems (1984)
    Ted Belytschko, Jame Shau‐Jen Ong et al. Computer Methods in Applied Mechanics and Engineering
  30. Crack propagation by element-free Galerkin methods (1995)
    Ted Belytschko, Ye Lu et al. Engineering Fracture Mechanics
  31. An extended finite element method for modeling crack growth with frictional contact (2001)
    John E. Dolbow, Nicolas Moës et al. Computer Methods in Applied Mechanics and Engineering
  32. A meshfree thin shell method for non‐linear dynamic fracture (2007)
    Timon Rabczuk, P. Areias et al. International Journal for Numerical Methods in Engineering
  33. Nodal integration of the element-free Galerkin method (1996)
    Stephen R. Beissel, Ted Belytschko Computer Methods in Applied Mechanics and Engineering
  34. New crack‐tip elements for XFEM and applications to cohesive cracks (2003)
    Goangseup Zi, Ted Belytschko International Journal for Numerical Methods in Engineering
  35. Fracture and crack growth by element free Galerkin methods (1994)
    Ted Belytschko, Linxia Gu et al. Modelling and Simulation in Materials Science and Engineering
  36. Stable particle methods based on Lagrangian kernels (2004)
    Timon Rabczuk, Ted Belytschko et al. Computer Methods in Applied Mechanics and Engineering
  37. A coupled finite element-element-free Galerkin method (1995)
    Ted Belytschko, D. Organ et al. Computational Mechanics
  38. Immersed particle method for fluid–structure interaction (2009)
    Timon Rabczuk, Robert Gracie et al. International Journal for Numerical Methods in Engineering

Immediate Impact

9 by Nobel laureates 38 from Science/Nature 120 standout
Sub-graph 1 of 18

Citing Papers

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22 intermediate papers

Works of Ted Belytschko being referenced

Achieving minimum length scale in topology optimization using nodal design variables and projection functions
2004 Standout
Topology optimization with implicit functions and regularization
2003
and 9 more

Author Peers

Author Last Decade Papers Cites
Ted Belytschko 50159 23619 22837 458 66.3k
Timon Rabczuk 29043 12105 16178 792 50.3k
Thomas J.R. Hughes 27497 44784 8326 425 69.0k
Klaus‐Jürgen Bathe 16865 8387 12245 244 31.0k
Wing Kam Liu 13947 9391 5822 363 27.8k
O. C. Zienkiewicz 13834 12536 9885 234 30.6k
J. N. Reddy 48568 3396 27168 835 56.4k
K.M. Liew 28656 3052 17655 906 43.5k
Ole Sigmund 19413 3155 30680 321 39.5k
M. Ortíz 13439 4542 3924 387 24.3k
J. R. Rice 32098 2348 6886 292 55.5k

All Works

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2026