A branch and bound algorithm for evaluation of the Findley fatigue criterion
2015 (English)In: International Journal of Fatigue, ISSN 0142-1123, E-ISSN 1879-3452, Vol. 73, 27-38 p.Article in journal (Refereed) Published
In this manuscript, a new algorithm for evaluation of the Findley fatigue criterion is proposed. The algorithm uses a branch and bound technique to limit the number of investigated planes in the search for the critical one. The algorithm has two major advantages over currently existing methods. Firstly, for a given tolerance on the error of the evaluation, it needs to investigate fewer planes on average, thereby reducing the execution time compared to state of the art methods. Secondly, the algorithm is guaranteed to give results within a tolerance of the global maximum, and this tolerance may be freely chosen by the analyst.
Place, publisher, year, edition, pages
2015. Vol. 73, 27-38 p.
Critical plane, Multiaxial fatigue, Mathematical analysis, Global optimization
IdentifiersURN: urn:nbn:se:kth:diva-161086DOI: 10.1016/j.ijfatigue.2014.11.008ISI: 000349272300003ScopusID: 2-s2.0-84916896494OAI: oai:DiVA.org:kth-161086DiVA: diva2:797969
FunderSwedish Research Council, 2010-4172
QC 201503252015-03-252015-03-092015-05-04Bibliographically approved