Complex variable boundary integral equations for perforated infinite planes
(2001) In Engineering Analysis with Boundary Elements 25(3). p.191-202- Abstract
- A fast and stable numerical algorithm is presented for the elastostatic problem of a linearly elastic plane with holes, loaded at infinity. The holes are free of stress. The algorithm is based on an integral equation which is intended as an alternative to the classic Sherman–Lauricella equation. The new scheme is argued to be both simpler and more reliable than schemes based on the Sherman–Lauricella equation. Improvements include simpler geometrical description, simpler relationships between mathematical and physical quantities, simpler extension to problems involving also inclusions and cracks, and more stable numerical convergence.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4254258
- author
- Helsing, Johan LU and Jonsson, Anders
- publishing date
- 2001
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Linear elasticity, Holes, Integral equation of Fredholm type, Fast multipole method, Sherman–Lauricella equation, Effective elastic moduli, Stress concentration factor, Numerical methods, Stable algorithms
- in
- Engineering Analysis with Boundary Elements
- volume
- 25
- issue
- 3
- pages
- 191 - 202
- publisher
- Elsevier
- external identifiers
-
- scopus:0035275415
- ISSN
- 1873-197X
- DOI
- 10.1016/S0955-7997(01)00006-6
- language
- English
- LU publication?
- no
- 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
- bfba1960-7494-4524-8bd4-7ee32f811885 (old id 4254258)
- alternative location
- http://www.maths.lth.se/na/staff/helsing/BEM01.pdf
- date added to LUP
- 2016-04-01 12:28:37
- date last changed
- 2022-04-13 19:33:29
@article{bfba1960-7494-4524-8bd4-7ee32f811885, abstract = {{A fast and stable numerical algorithm is presented for the elastostatic problem of a linearly elastic plane with holes, loaded at infinity. The holes are free of stress. The algorithm is based on an integral equation which is intended as an alternative to the classic Sherman–Lauricella equation. The new scheme is argued to be both simpler and more reliable than schemes based on the Sherman–Lauricella equation. Improvements include simpler geometrical description, simpler relationships between mathematical and physical quantities, simpler extension to problems involving also inclusions and cracks, and more stable numerical convergence.}}, author = {{Helsing, Johan and Jonsson, Anders}}, issn = {{1873-197X}}, keywords = {{Linear elasticity; Holes; Integral equation of Fredholm type; Fast multipole method; Sherman–Lauricella equation; Effective elastic moduli; Stress concentration factor; Numerical methods; Stable algorithms}}, language = {{eng}}, number = {{3}}, pages = {{191--202}}, publisher = {{Elsevier}}, series = {{Engineering Analysis with Boundary Elements}}, title = {{Complex variable boundary integral equations for perforated infinite planes}}, url = {{https://lup.lub.lu.se/search/files/2939034/4254264.pdf}}, doi = {{10.1016/S0955-7997(01)00006-6}}, volume = {{25}}, year = {{2001}}, }