On the Interior Stress Problem for Elastic Bodies
(2000) In Journal of Applied Mechanics 67(4). p.658-662- Abstract
- The classic Sherman-Lauricella integral equation and an integral equation due to Muskhelishvili for the interior stress problem are modified. The modified formulations differ from the classic ones in several respects: Both modifications are based on uniqueness conditions with clear physical interpretations and, more importantly, they do not require the arbitrary placement of a point inside the computational domain. Furthermore, in the modified Muskhelishvili equation the unknown quantity, which is solved for, is simply related to the stress. In Muskhelishvili’s original formulation the unknown quantity is related to the displacement. Numerical examples demonstrate the greater stability of the modified schemes.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4254282
- author
- Helsing, Johan LU
- publishing date
- 2000
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Applied Mechanics
- volume
- 67
- issue
- 4
- pages
- 658 - 662
- publisher
- American Society Of Mechanical Engineers (ASME)
- external identifiers
-
- scopus:0000256744
- ISSN
- 0021-8936
- DOI
- 10.1115/1.1327251
- 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
- 4e0cf6f5-a489-44d8-8b5e-e29d1880bdb3 (old id 4254282)
- alternative location
- http://www.maths.lth.se/na/staff/helsing/ASME00.pdf
- date added to LUP
- 2016-04-01 11:53:13
- date last changed
- 2022-01-26 19:42:45
@article{4e0cf6f5-a489-44d8-8b5e-e29d1880bdb3, abstract = {{The classic Sherman-Lauricella integral equation and an integral equation due to Muskhelishvili for the interior stress problem are modified. The modified formulations differ from the classic ones in several respects: Both modifications are based on uniqueness conditions with clear physical interpretations and, more importantly, they do not require the arbitrary placement of a point inside the computational domain. Furthermore, in the modified Muskhelishvili equation the unknown quantity, which is solved for, is simply related to the stress. In Muskhelishvili’s original formulation the unknown quantity is related to the displacement. Numerical examples demonstrate the greater stability of the modified schemes.}}, author = {{Helsing, Johan}}, issn = {{0021-8936}}, language = {{eng}}, number = {{4}}, pages = {{658--662}}, publisher = {{American Society Of Mechanical Engineers (ASME)}}, series = {{Journal of Applied Mechanics}}, title = {{On the Interior Stress Problem for Elastic Bodies}}, url = {{https://lup.lub.lu.se/search/files/2687471/4254285.pdf}}, doi = {{10.1115/1.1327251}}, volume = {{67}}, year = {{2000}}, }