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- Title
Modelling curvedS–Ncurves.
- Authors
Lorén, S.; Lundström, M.
- Abstract
The fatigue limit distribution is estimated using fatigue data and under the assumption that the fatigue limit is random. The stress levels for the broken and unbroken specimens are used. For the broken specimen the number of cycles to failure is also used. By combining the finite life and fatigue limit distribution it is possible to get the probability of not surviving a certain life. This probability is used to estimate a curvedS–Ncurve by using the method of likelihood. The wholeS–Ncurve is estimated at the same time. These curves show the predictive life given a certain stress level. The life and the quantile of the fatigue limit distribution are also predicted by using profile predictive likelihood. In this way the scatter around theS–Ncurve as well as the uncertainty of theS–Ncurve are taken into account.
- Subjects
PROBABILITY theory; MATHEMATICAL combinations; MATHEMATICS; MATHEMATICAL statistics; STATISTICS; MATHEMATICAL models
- Publication
Fatigue & Fracture of Engineering Materials & Structures, 2005, Vol 28, Issue 5, p437
- ISSN
8756-758X
- Publication type
Article
- DOI
10.1111/j.1460-2695.2005.00876.x