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Stress computations on perforated polygonal domains

Englund, Jonas LU and Helsing, Johan LU (2003) In Engineering Analysis with Boundary Elements 27(5). p.533-546
Abstract
A high order accurate and fast algorithm is constructed for 2D stress problems on multiply connected finite domains. The algorithm is based on a Fredholm integral equation of the second kind with non-singular operators. The unknown quantity is the limit of an analytic function. On polygonal domains there is a trade-off between stability and rate of convergence. A moderate amount of precomputation in higher precision arithmetic increases the stability in difficult situations. Results for a loaded single edge notched specimen perforated with 1170 holes are presented. The general usefulness of integral equation methods is discussed. (C) 2003 Elsevier Science Ltd. All rights reserved.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
stress concentration factor, factor, notch stress intensity, holes, multiply connected domain, V-notch, Fredholm integral equation, fast, multipole method
in
Engineering Analysis with Boundary Elements
volume
27
issue
5
pages
533 - 546
publisher
Elsevier
external identifiers
  • wos:000183002600010
  • scopus:0038414984
ISSN
1873-197X
DOI
10.1016/S0955-7997(02)00160-1
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
ee6a0595-2568-45e2-acfe-afe8f22400fa (old id 310642)
date added to LUP
2016-04-01 17:03:13
date last changed
2022-04-15 08:58:19
@article{ee6a0595-2568-45e2-acfe-afe8f22400fa,
  abstract     = {{A high order accurate and fast algorithm is constructed for 2D stress problems on multiply connected finite domains. The algorithm is based on a Fredholm integral equation of the second kind with non-singular operators. The unknown quantity is the limit of an analytic function. On polygonal domains there is a trade-off between stability and rate of convergence. A moderate amount of precomputation in higher precision arithmetic increases the stability in difficult situations. Results for a loaded single edge notched specimen perforated with 1170 holes are presented. The general usefulness of integral equation methods is discussed. (C) 2003 Elsevier Science Ltd. All rights reserved.}},
  author       = {{Englund, Jonas and Helsing, Johan}},
  issn         = {{1873-197X}},
  keywords     = {{stress concentration factor; factor; notch stress intensity; holes; multiply connected domain; V-notch; Fredholm integral equation; fast; multipole method}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{533--546}},
  publisher    = {{Elsevier}},
  series       = {{Engineering Analysis with Boundary Elements}},
  title        = {{Stress computations on perforated polygonal domains}},
  url          = {{https://lup.lub.lu.se/search/files/4860163/4226464.pdf}},
  doi          = {{10.1016/S0955-7997(02)00160-1}},
  volume       = {{27}},
  year         = {{2003}},
}