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

Helsing, Johan LU (1999) In International Journal of Fracture 100(4). p.321-327
Abstract
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.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
effective elastic moduli, Multiple cracks, random aggregate, integral equation of Fredholm type, GMRES, fast multipole method, large-scale calculation
in
International Journal of Fracture
volume
100
issue
4
pages
321 - 327
publisher
Springer
external identifiers
  • scopus:0033295484
ISSN
0376-9429
DOI
10.1023/A:1018768326334
language
English
LU publication?
no
id
06cab8a6-cf2b-4045-9a4c-3e107e4dda77 (old id 4407130)
alternative location
http://www.maths.lth.se/na/staff/helsing/IJF99.pdf
date added to LUP
2014-04-28 15:11:33
date last changed
2017-01-29 03:23:10
@article{06cab8a6-cf2b-4045-9a4c-3e107e4dda77,
  abstract     = {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.},
  author       = {Helsing, Johan},
  issn         = {0376-9429},
  keyword      = {effective elastic moduli,Multiple cracks,random aggregate,integral equation of Fredholm type,GMRES,fast multipole method,large-scale calculation},
  language     = {eng},
  number       = {4},
  pages        = {321--327},
  publisher    = {Springer},
  series       = {International Journal of Fracture},
  title        = {Fast and accurate numerical solution to an elastostatic problem involving ten thousand randomly oriented cracks},
  url          = {http://dx.doi.org/10.1023/A:1018768326334},
  volume       = {100},
  year         = {1999},
}