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Efficient algorithm for edge cracked geometries

Englund, Jonas LU (2006) In International Journal for Numerical Methods in Engineering 66(11). p.1791-1816
Abstract
The stress field in a finite, edge cracked specimen under load is computed using algorithms based on two slightly different integral equations of the second kind. These integral equations are obtained through left regularizations of a first kind integral equation. In numerical experiments it is demonstrated that the stress field can be accurately computed. Highly accurate stress intensity factors and T-stresses are presented for several setups and extensive comparisons with results from the literature are made. For simple geometries the algorithms presented here achieve relative errors of less than 10(-10). It is also shown that the present algorithms can accurately handle both geometries with arbitrarily shaped edge cracks and geometries... (More)
The stress field in a finite, edge cracked specimen under load is computed using algorithms based on two slightly different integral equations of the second kind. These integral equations are obtained through left regularizations of a first kind integral equation. In numerical experiments it is demonstrated that the stress field can be accurately computed. Highly accurate stress intensity factors and T-stresses are presented for several setups and extensive comparisons with results from the literature are made. For simple geometries the algorithms presented here achieve relative errors of less than 10(-10). It is also shown that the present algorithms can accurately handle both geometries with arbitrarily shaped edge cracks and geometries containing several hundred edge cracks. All computations were performed on an ordinary workstation. Copyright (c) 2005 John Wiley & Sons, Ltd. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
stress intensity factor, integral equation, edge crack, fast multipole, method, T-stress
in
International Journal for Numerical Methods in Engineering
volume
66
issue
11
pages
1791 - 1816
publisher
John Wiley and Sons
external identifiers
  • wos:000238584800004
  • scopus:33745543356
ISSN
1097-0207
DOI
10.1002/nme.1599
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
d52f64a7-8f2b-4dff-8d92-96093a9af003 (old id 404936)
date added to LUP
2016-04-01 12:32:05
date last changed
2021-02-17 05:08:09
@article{d52f64a7-8f2b-4dff-8d92-96093a9af003,
  abstract     = {The stress field in a finite, edge cracked specimen under load is computed using algorithms based on two slightly different integral equations of the second kind. These integral equations are obtained through left regularizations of a first kind integral equation. In numerical experiments it is demonstrated that the stress field can be accurately computed. Highly accurate stress intensity factors and T-stresses are presented for several setups and extensive comparisons with results from the literature are made. For simple geometries the algorithms presented here achieve relative errors of less than 10(-10). It is also shown that the present algorithms can accurately handle both geometries with arbitrarily shaped edge cracks and geometries containing several hundred edge cracks. All computations were performed on an ordinary workstation. Copyright (c) 2005 John Wiley & Sons, Ltd.},
  author       = {Englund, Jonas},
  issn         = {1097-0207},
  language     = {eng},
  number       = {11},
  pages        = {1791--1816},
  publisher    = {John Wiley and Sons},
  series       = {International Journal for Numerical Methods in Engineering},
  title        = {Efficient algorithm for edge cracked geometries},
  url          = {http://dx.doi.org/10.1002/nme.1599},
  doi          = {10.1002/nme.1599},
  volume       = {66},
  year         = {2006},
}