Efficient algorithm for edge cracked geometries
(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:
https://lup.lub.lu.se/record/404936
- author
- Englund, Jonas LU
- organization
- publishing date
- 2006
- 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 & Sons Inc.
- 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
- 2022-01-27 06:22:01
@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}},
keywords = {{stress intensity factor; integral equation; edge crack; fast multipole; method; T-stress}},
language = {{eng}},
number = {{11}},
pages = {{1791--1816}},
publisher = {{John Wiley & Sons Inc.}},
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}},
}