Stress computations on perforated polygonal domains
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/310642
- author
- Englund, Jonas LU and Helsing, Johan LU
- organization
- publishing date
- 2003
- 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}}, }