The eXtended Finite Element Method (X-FEM)

Journal Publications

• T. Belytschko and T. Black (1999), ``Elastic Crack Growth in Finite Elements With Minimal Remeshing,'' International Journal for Numerical Methods in Engineering, Vol. 45, Number 5, pp. 601-620 [ PS (1.8MB)]

• N. Moës, J. Dolbow and T. Belytschko (1999), ``A Finite Element Method for Crack Growth Without Remeshing,'' International Journal for Numerical Methods in Engineering, Vol. 46, Number 1, pp. 131-150 [ PDF (0.2MB)] [ PS (1.1MB)]

• J. Dolbow, N. Moës and T. Belytschko (1999), ``Discontinuous Enrichment in Finite Elements with a Partition of Unity Method,'' Finite Element Analysis and Design, to appear [ PS (0.6MB)]

• N. Sukumar, N. Moës, B. Moran and T. Belytschko (2000), ``Extended Finite Element Method for Three-Dimensional Crack Modeling,'' International Journal for Numerical Methods in Engineering, Vol. 48, Number 11, pp.1549-1570 [ PDF (0.2MB)] [ PS (1.3MB)]

• J. Dolbow, N. Moës and T. Belytschko (1999), ``Modeling Fracture in Mindlin-Reissner Plates with the eXtended Finite Element Method,'', International Journal of Solids and Structures, submitted [ PS (0.28MB)]

• C. Daux, N. Moës, J. Dolbow, N. Sukumar and T. Belytschko (2000), ``Arbitrary Branched and Intersecting Cracks with the eXtended Finite Element Method,'' International Journal for Numerical Methods in Engineering, Vol. 48, pp. 1741-1760, 2000 [ PDF (0.2MB)] [ PS (0.5MB)]

• N. Sukumar, D. L. Chopp, N. Moës, and T. Belytschko (2000), ``Modeling Holes and Inclusions by Level Sets in the Extended Finite-Element Method,'' Computer Methods in Applied Mechanics and Engineering, Vol. 190, Number 46-47, pp.6183-6200 [ PDF (1.7MB)] [ PS (1.8MB)]

• J. Dolbow, N. Moës and T. Belytschko (2000), ``An extended finite element method for modeling crack growth with frictional contact," Computer Methods in Applied Mechanics and Engineering , accepted [ PS (6.5MB)]

• M. Stolarska, D.L. Chopp, N. Moës and T. Belytschko (2000), ``Modelling Crack Growth by Level Sets and the Extended Finite Element Method," International Journal for Numerical Methods in Engineering , accepted [ PS (3.2MB)]

• T. Belytschko, N. Moës, S. Usui and C. Parimi (2000), ``Arbitrary discontinuities in finite elements," International Journal for Numerical Methods in Engineering , accepted [ PS (6.7MB)]

• G.J. Wagner, N. Moës, W.K. Liu and T. Belytschko (2000), ``The extended finite element method for rigid particles in Stokes flow," International Journal for Numerical Methods in Engineering , accepted [ PS (8.0MB)]

Theses

• J. Dolbow (1999), ``An Extended Finite Element Method with Discontinuous Enrichment for Applied Mechanics,'' Ph.D. thesis, Theoretical & Applied Mechanics, Northwestern University, Evanston, IL [Thesis Web Page]

Code

• Partitioning Algorithms in 2D and 3D

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