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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
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
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
2016-04-01 11:39:38
date last changed
2022-02-10 19:35:48
@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}},
  keywords     = {{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          = {{https://lup.lub.lu.se/search/files/2583002/4407131.pdf}},
  doi          = {{10.1023/A:1018768326334}},
  volume       = {{100}},
  year         = {{1999}},
}