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On the computation of stress fields on polygonal domains with V-notches

Helsing, Johan LU and Jonsson, Anders (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)
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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 and Sons
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
2021-01-06 01:08:21
@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 and Sons},
  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/ws/files/5535948/4226463.pdf},
  doi          = {10.1002/nme.291},
  volume       = {53},
  year         = {2002},
}