On the computation of stress fields on polygonal domains with V-notches
(2002) In International Journal for Numerical Methods in Engineering 53(2). p.433-453- Abstract
- The interior stress problem is solved numerically for a single-edge notched specimen under uniaxial load. The algorithm is based on a modification of a Fredholm second-kind integral equation with compact operators due to Muskhelishvili. Several singular basis functions for each of the seven corners in the geometry enable high uniform resolution of the stress field with a modest number of discretization points. As a consequence, notch stress intensity factors can be computed directly from the solution. This is an improvement over other procedures where the stress field is not resolved in the corners and where notch stress intensity factors are computed in a roundabout way via a path-independent integral. Numerical examples illustrate the... (More)
- The interior stress problem is solved numerically for a single-edge notched specimen under uniaxial load. The algorithm is based on a modification of a Fredholm second-kind integral equation with compact operators due to Muskhelishvili. Several singular basis functions for each of the seven corners in the geometry enable high uniform resolution of the stress field with a modest number of discretization points. As a consequence, notch stress intensity factors can be computed directly from the solution. This is an improvement over other procedures where the stress field is not resolved in the corners and where notch stress intensity factors are computed in a roundabout way via a path-independent integral. Numerical examples illustrate the superior stability and economy of the new scheme. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/698734
- author
- Helsing, Johan LU and Jonsson, Anders
- organization
- publishing date
- 2002
- type
- Contribution to journal
- publication status
- published
- subject
- in
- International Journal for Numerical Methods in Engineering
- volume
- 53
- issue
- 2
- pages
- 433 - 453
- publisher
- John Wiley & Sons Inc.
- external identifiers
-
- scopus:0037137845
- ISSN
- 1097-0207
- DOI
- 10.1002/nme.291
- 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
- e736e010-75ff-4ad3-bece-e80c27d0653e (old id 698734)
- date added to LUP
- 2016-04-04 10:25:30
- date last changed
- 2022-01-29 20:20:41
@article{e736e010-75ff-4ad3-bece-e80c27d0653e,
abstract = {{The interior stress problem is solved numerically for a single-edge notched specimen under uniaxial load. The algorithm is based on a modification of a Fredholm second-kind integral equation with compact operators due to Muskhelishvili. Several singular basis functions for each of the seven corners in the geometry enable high uniform resolution of the stress field with a modest number of discretization points. As a consequence, notch stress intensity factors can be computed directly from the solution. This is an improvement over other procedures where the stress field is not resolved in the corners and where notch stress intensity factors are computed in a roundabout way via a path-independent integral. Numerical examples illustrate the superior stability and economy of the new scheme.}},
author = {{Helsing, Johan and Jonsson, Anders}},
issn = {{1097-0207}},
language = {{eng}},
number = {{2}},
pages = {{433--453}},
publisher = {{John Wiley & Sons Inc.}},
series = {{International Journal for Numerical Methods in Engineering}},
title = {{On the computation of stress fields on polygonal domains with V-notches}},
url = {{https://lup.lub.lu.se/search/files/5535948/4226463.pdf}},
doi = {{10.1002/nme.291}},
volume = {{53}},
year = {{2002}},
}