A branch and bound algorithm for evaluation of the Findley fatigue criterion

作者：Svard Henrik^*

来源：International Journal of Fatigue, 2015, 73: 27-38.

DOI：10.1016/j.ijfatigue.2014.11.008

• Critical plane
• Multiaxial fatigue
• Mathematical analysis
• Global optimization

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.

• 出版日期2015-4