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Stress calculations on multiply connected domains

Helsing, Johan LU and Jonsson, A (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:
author
organization
publishing date
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
id
628b0767-4bda-4800-a269-ee82ce6cd24a (old id 342292)
date added to LUP
2007-10-15 12:38:13
date last changed
2017-03-15 09:39:36
@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},
  keyword      = {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          = {http://dx.doi.org/10.1006/jcph.2002.6996},
  volume       = {176},
  year         = {2002},
}