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
Fulltext
- Available as PDF - 231 kB
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Länkar
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