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New Methods for Discontinuity and Crack Modeling in EFG

  • Conference paper
Meshfree Methods for Partial Differential Equations

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 26))

Abstract

A new method for modeling discontinuities, such as cracks, in the element free Galerkin method is presented. A jump function is used for the displacement discontinuity along the crack faces and the Westergard’s solution enrichment near the crack tip. These enrichments, being extrinsic, can be limited only to the nodes surrounding the crack. The method is coupled to a new vector level set method [1] so with this approach only nodal data are used to describe the crack, no geometrical entity is introduced for the crack trajectory, and no partial differential equations need be solved to update the level sets.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Northwestern University, Evanston, IL, USA

    Ted Belytschko & Jingxiao Xu

  2. Northwestern University, Evanston, IL, USA

    Giulio Ventura

  3. Department of Structural Engineering and Geotechnics, Politecnico di Torino, Torino, Italy

    Giulio Ventura

Authors
  1. Ted Belytschko
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  2. Giulio Ventura
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  3. Jingxiao Xu
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Editor information

Editors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Bonn, Wegelerstraße 6, 53115, Bonn, Germany

    Michael Griebel  & Marc Alexander Schweitzer  & 

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© 2003 Springer-Verlag Berlin Heidelberg

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Belytschko, T., Ventura, G., Xu, J. (2003). New Methods for Discontinuity and Crack Modeling in EFG. In: Griebel, M., Schweitzer, M.A. (eds) Meshfree Methods for Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56103-0_3

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  • DOI: https://doi.org/10.1007/978-3-642-56103-0_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43891-5

  • Online ISBN: 978-3-642-56103-0

  • eBook Packages: Springer Book Archive

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