An Efficient Numerical Algorithm for Cracks Partly in Frictionless Contact
(2000) In SIAM Journal on Applied Mathematics 61(2). p.551-566- Abstract
- An algorithm for a loaded crack partly in frictionless contact is presented. The problem is nonlinear in the sense that the equations of linear elasticity are supplemented by certain contact inequalities. The location of a priori unknown contact zones and the solutions to the field equations must be determined simultaneously. The algorithm is based on a rapidly converging sequence of relaxed Fredholm integral equations of the second kind in which the contact problem is viewed as a perturbation of a noncontacting crack problem. The algorithm exhibits great stability and speed. The numerical results are orders-of-magnitudes more accurate than those of previous investigators.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4254286
- author
- Helsing, Johan LU and Peters, Gunnar
- publishing date
- 2000
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- cracks, contact, contact zone, integral equations of Fredholm type, numerical methods, linear elasticity
- in
- SIAM Journal on Applied Mathematics
- volume
- 61
- issue
- 2
- pages
- 551 - 566
- publisher
- Society for Industrial and Applied Mathematics
- external identifiers
-
- scopus:0342501957
- ISSN
- 0036-1399
- DOI
- 10.1137/S0036139999356934
- 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
- b4bcf541-c402-4ac8-a964-f3e4ffa6037b (old id 4254286)
- alternative location
- http://www.maths.lth.se/na/staff/helsing/SIAP00.pdf
- date added to LUP
- 2016-04-01 11:56:30
- date last changed
- 2022-01-26 20:27:20
@article{b4bcf541-c402-4ac8-a964-f3e4ffa6037b, abstract = {{An algorithm for a loaded crack partly in frictionless contact is presented. The problem is nonlinear in the sense that the equations of linear elasticity are supplemented by certain contact inequalities. The location of a priori unknown contact zones and the solutions to the field equations must be determined simultaneously. The algorithm is based on a rapidly converging sequence of relaxed Fredholm integral equations of the second kind in which the contact problem is viewed as a perturbation of a noncontacting crack problem. The algorithm exhibits great stability and speed. The numerical results are orders-of-magnitudes more accurate than those of previous investigators.}}, author = {{Helsing, Johan and Peters, Gunnar}}, issn = {{0036-1399}}, keywords = {{cracks; contact; contact zone; integral equations of Fredholm type; numerical methods; linear elasticity}}, language = {{eng}}, number = {{2}}, pages = {{551--566}}, publisher = {{Society for Industrial and Applied Mathematics}}, series = {{SIAM Journal on Applied Mathematics}}, title = {{An Efficient Numerical Algorithm for Cracks Partly in Frictionless Contact}}, url = {{https://lup.lub.lu.se/search/files/2712012/4254290.pdf}}, doi = {{10.1137/S0036139999356934}}, volume = {{61}}, year = {{2000}}, }