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

Författare

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.

Publiceringsår

1999

Språk

Engelska

Sidor

321-327

Publikation/Tidskrift/Serie

International Journal of Fracture

Volym

100

Issue

4

Dokumenttyp

Artikel i tidskrift

Förlag

Springer

Ämne

  • Mathematics

Nyckelord

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

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 0376-9429