Using the weakest link model of fatigue in topology optimization
(English)Manuscript (preprint) (Other academic)
In this work, a method for incorporating fatigue failure in topology op- timization problems is presented. The method is based on the weakest link model of failure, developed by Weibull. The model is based on an assumption on the failure probability of a volume element, as a function of the applied stress. Given some assumptions, the total failure probability of the structure may be calculated as an integral over all elements. In this paper, it is shown that the weakest link model for failure takes a form that is very suitable for topology optimization. In fact, it is shown that the expression for failure probability according to Weibull under some circumstances is very similar to the much used p-norm of stresses. In the paper, the weakest link model is explained in detail, and adaptations to make it suitable for topology optimization are made. Suggestions on how to choose the parameters of the model are given, and the effects of different parameter choices are evaluated using examples.
stress, fatigue, topology optimization
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-163574OAI: oai:DiVA.org:kth-163574DiVA: diva2:801284
FunderSwedish Research Council, 2010-4172
QS 20152015-04-082015-04-082015-05-04Bibliographically approved