Integral equation methods and numerical solutions of crack and inclusion problems in planar elastostatics
(1999) In SIAM Journal on Applied Mathematics 59(3). p.965-982- Abstract
- We present algorithms for crack and inclusion problems in planar linear elastostatics. The algorithms are based on new integral equations. For the pure crack problem the integral equations are of Fredholm's second kind. Our algorithms show great stability and allow for solutions to problems more complex than have previously been possible. Our results are orders of magnitudes more accurate than those of previous investigators, which rely on integral equations of Fredholm's first kind.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4580991
- author
- Helsing, Johan LU and Peters, Gunnar
- organization
- publishing date
- 1999
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- effective elastic properties, integral equation of Fredholm type, linear elasticity, cracks, composite material, stress intensity factors, numerical methods
- in
- SIAM Journal on Applied Mathematics
- volume
- 59
- issue
- 3
- pages
- 965 - 982
- publisher
- Society for Industrial and Applied Mathematics
- external identifiers
-
- scopus:0345504862
- ISSN
- 0036-1399
- DOI
- 10.1137/S0036139998332938
- 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
- c3c584d9-9fa6-416f-9c26-c8c511e8a3e8 (old id 4580991)
- alternative location
- http://www.maths.lth.se/na/staff/helsing/SIAP99.pdf
- date added to LUP
- 2016-04-01 16:27:52
- date last changed
- 2022-02-05 08:26:45
@article{c3c584d9-9fa6-416f-9c26-c8c511e8a3e8, abstract = {{We present algorithms for crack and inclusion problems in planar linear elastostatics. The algorithms are based on new integral equations. For the pure crack problem the integral equations are of Fredholm's second kind. Our algorithms show great stability and allow for solutions to problems more complex than have previously been possible. Our results are orders of magnitudes more accurate than those of previous investigators, which rely on integral equations of Fredholm's first kind.}}, author = {{Helsing, Johan and Peters, Gunnar}}, issn = {{0036-1399}}, keywords = {{effective elastic properties; integral equation of Fredholm type; linear elasticity; cracks; composite material; stress intensity factors; numerical methods}}, language = {{eng}}, number = {{3}}, pages = {{965--982}}, publisher = {{Society for Industrial and Applied Mathematics}}, series = {{SIAM Journal on Applied Mathematics}}, title = {{Integral equation methods and numerical solutions of crack and inclusion problems in planar elastostatics}}, url = {{https://lup.lub.lu.se/search/files/4680708/4580992.pdf}}, doi = {{10.1137/S0036139998332938}}, volume = {{59}}, year = {{1999}}, }