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Fast and accurate numerical solution to an elastostatic problem involving ten thousand randomly oriented cracks

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Author

Summary, in English

An algorithm is presented for the multiple crack problem in planar linear elastostatics. The algorithm has three important properties: it is stable, it is adaptive, and its complexity is linear. This means that high accuracy can be achieved and that large-scale problems can be treated. In a numerical example stress fields are accurately computed in a mechanically loaded material containing 10,000 randomly oriented cracks. The computing time is about two and a half hours on a regular workstation.

Publishing year

1999

Language

English

Pages

321-327

Publication/Series

International Journal of Fracture

Volume

100

Issue

4

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Keywords

  • effective elastic moduli
  • Multiple cracks
  • random aggregate
  • integral equation of Fredholm type
  • GMRES
  • fast multipole method
  • large-scale calculation

Status

Published

ISBN/ISSN/Other

  • ISSN: 0376-9429