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Ted Belytschko

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Top Publications

A finite element method for crack growth without remeshing
International Journal for Numerical Methods in Engineering19996,126 citationsCorresponding
Element‐free Galerkin methods
International Journal for Numerical Methods in Engineering19945,540 citationsFirst authorCorresponding
Elastic crack growth in finite elements with minimal remeshing
International Journal for Numerical Methods in Engineering19994,654 citationsFirst authorCorresponding
Meshless methods: An overview and recent developments
Computer Methods in Applied Mechanics and Engineering19963,094 citationsFirst authorCorresponding
Cracking particles: a simplified meshfree method for arbitrary evolving cracks
International Journal for Numerical Methods in Engineering20041,658 citationsCorresponding
The extended/generalized finite element method: An overview of the method and its applications
International Journal for Numerical Methods in Engineering20101,392 citations
Achieving minimum length scale in topology optimization using nodal design variables and projection functions
International Journal for Numerical Methods in Engineering20041,247 citations
Extended finite element method for three-dimensional crack modelling
International Journal for Numerical Methods in Engineering20001,207 citationsCorresponding
A three-dimensional large deformation meshfree method for arbitrary evolving cracks
Computer Methods in Applied Mechanics and Engineering20071,195 citations
Computational Methods for Transient Analysis
Journal of Applied Mechanics19851,184 citationsFirst authorCorresponding
Modeling holes and inclusions by level sets in the extended finite-element method
Computer Methods in Applied Mechanics and Engineering20011,101 citations
Arbitrary discontinuities in finite elements
International Journal for Numerical Methods in Engineering20011,071 citationsFirst authorCorresponding
A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
International Journal for Numerical Methods in Engineering19811,009 citations
Arbitrary branched and intersecting cracks with the extended finite element method
International Journal for Numerical Methods in Engineering2000965 citations
Reproducing kernel particle methods for structural dynamics
International Journal for Numerical Methods in Engineering1995812 citations
A bridging domain method for coupling continua with molecular dynamics
Computer Methods in Applied Mechanics and Engineering2004758 citationsCorresponding
A method for dynamic crack and shear band propagation with phantom nodes
International Journal for Numerical Methods in Engineering2006739 citationsCorresponding
A new implementation of the element free Galerkin method
Computer Methods in Applied Mechanics and Engineering1994705 citationsCorresponding
Non‐planar 3D crack growth by the extended finite element and level sets—Part I: Mechanical model
International Journal for Numerical Methods in Engineering2002644 citationsCorresponding
Random field finite elements
International Journal for Numerical Methods in Engineering1986639 citations
The natural element method in solid mechanics
International Journal for Numerical Methods in Engineering1998634 citations
ENRICHED ELEMENT-FREE GALERKIN METHODS FOR CRACK TIP FIELDS
International Journal for Numerical Methods in Engineering1997612 citations
Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
International Journal for Numerical Methods in Engineering2003571 citationsFirst authorCorresponding
New crack‐tip elements for XFEM and applications to cohesive cracks
International Journal for Numerical Methods in Engineering2003551 citationsCorresponding
Non‐planar 3D crack growth by the extended finite element and level sets—Part II: Level set update
International Journal for Numerical Methods in Engineering2002535 citationsCorresponding
Element-free galerkin methods for static and dynamic fracture
International Journal of Solids and Structures1995409 citationsFirst authorCorresponding
Ted Belytschko · Scinovex