Fast and accurate numerical solution to an elastostatic problem involving ten thousand randomly oriented cracks
(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:
https://lup.lub.lu.se/record/4407130
- author
- Helsing, Johan LU
- publishing date
- 1999
- 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}}, }