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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
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
language
English
LU publication?
yes
id
ee6a0595-2568-45e2-acfe-afe8f22400fa (old id 310642)
date added to LUP
2007-08-29 15:31:17
date last changed
2018-05-29 11:27:20
@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},
  keyword      = {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          = {http://dx.doi.org/},
  volume       = {27},
  year         = {2003},
}