Stable algorithm for the stress field around a multiply branched crack
(2005) In International Journal for Numerical Methods in Engineering 63(6). p.926-946- Abstract
- We present an algorithm for the computation of the stress field around a branched crack. The algorithm is based on an integral equation with good numerical properties. Our equation is obtained through a left regularization of an integral equation of Fredholm's first kind. Complex valued functions involving repeated products of square roots appear in the regularization. A new and effective scheme for correct evaluation of these functions is described. For validation, mode I and II stress intensity factors are computed for simple branched geometries. The relative errors in the stress intensity factors are typically as low as 10(-12). A large scale example is also presented, where a crack with 176 branching points is studied.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/238738
- author
- Englund, Jonas LU
- organization
- publishing date
- 2005
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- fast multipole method, stress intensity factor, integral equation, branched crack
- in
- International Journal for Numerical Methods in Engineering
- volume
- 63
- issue
- 6
- pages
- 926 - 946
- publisher
- John Wiley & Sons Inc.
- external identifiers
-
- wos:000229520400007
- scopus:20444490367
- ISSN
- 1097-0207
- DOI
- 10.1002/nme.1311
- 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
- 9d18d983-82a1-4313-9541-a82d5747845c (old id 238738)
- date added to LUP
- 2016-04-01 12:29:30
- date last changed
- 2022-02-18 23:16:36
@article{9d18d983-82a1-4313-9541-a82d5747845c, abstract = {{We present an algorithm for the computation of the stress field around a branched crack. The algorithm is based on an integral equation with good numerical properties. Our equation is obtained through a left regularization of an integral equation of Fredholm's first kind. Complex valued functions involving repeated products of square roots appear in the regularization. A new and effective scheme for correct evaluation of these functions is described. For validation, mode I and II stress intensity factors are computed for simple branched geometries. The relative errors in the stress intensity factors are typically as low as 10(-12). A large scale example is also presented, where a crack with 176 branching points is studied.}}, author = {{Englund, Jonas}}, issn = {{1097-0207}}, keywords = {{fast multipole method; stress intensity factor; integral equation; branched crack}}, language = {{eng}}, number = {{6}}, pages = {{926--946}}, publisher = {{John Wiley & Sons Inc.}}, series = {{International Journal for Numerical Methods in Engineering}}, title = {{Stable algorithm for the stress field around a multiply branched crack}}, url = {{http://dx.doi.org/10.1002/nme.1311}}, doi = {{10.1002/nme.1311}}, volume = {{63}}, year = {{2005}}, }