Stress calculations on multiply connected domains
(2002) In Journal of Computational Physics 176(2). p.456-482- Abstract
- The outstanding problem of finding a simple Muskhelishvili-type integral equation for stress problems on multiply connected domains is solved. Complex potentials are represented in a way which allows, for the incorporation of cracks and inclusions. Several numerical examples demonstrate the generality and extreme stablity of the approach. The stress field is resolved with a relative error of less than 10(-10) on a large, yet simple reproducible, setup with a loaded square plate containing 4090 holes and cracks, Comparison with previous results in the literature indicates that general-purpose finite-element software may perform better than many special-purpose codes. (C) 2002 Elsevier Science (USA).
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/342292
- author
- Helsing, Johan LU and Jonsson, A
- organization
- publishing date
- 2002
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- method, Fredholm integral equation, fast multipole, cracks, multiply connected domains, holes, stress concentration factor, stress intensity factor
- in
- Journal of Computational Physics
- volume
- 176
- issue
- 2
- pages
- 456 - 482
- publisher
- Elsevier
- external identifiers
-
- wos:000174304500010
- scopus:0036501428
- ISSN
- 0021-9991
- DOI
- 10.1006/jcph.2002.6996
- language
- English
- LU publication?
- yes
- 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
- 628b0767-4bda-4800-a269-ee82ce6cd24a (old id 342292)
- date added to LUP
- 2016-04-01 12:01:27
- date last changed
- 2022-03-28 19:06:52
@article{628b0767-4bda-4800-a269-ee82ce6cd24a,
abstract = {{The outstanding problem of finding a simple Muskhelishvili-type integral equation for stress problems on multiply connected domains is solved. Complex potentials are represented in a way which allows, for the incorporation of cracks and inclusions. Several numerical examples demonstrate the generality and extreme stablity of the approach. The stress field is resolved with a relative error of less than 10(-10) on a large, yet simple reproducible, setup with a loaded square plate containing 4090 holes and cracks, Comparison with previous results in the literature indicates that general-purpose finite-element software may perform better than many special-purpose codes. (C) 2002 Elsevier Science (USA).}},
author = {{Helsing, Johan and Jonsson, A}},
issn = {{0021-9991}},
keywords = {{method; Fredholm integral equation; fast multipole; cracks; multiply connected domains; holes; stress concentration factor; stress intensity factor}},
language = {{eng}},
number = {{2}},
pages = {{456--482}},
publisher = {{Elsevier}},
series = {{Journal of Computational Physics}},
title = {{Stress calculations on multiply connected domains}},
url = {{https://lup.lub.lu.se/search/files/2748014/3878578.pdf}},
doi = {{10.1006/jcph.2002.6996}},
volume = {{176}},
year = {{2002}},
}