Issue 39

M. Muñiz Calvente et alii, Frattura ed Integrità Strutturale, 39 (2017) 160-165; DOI: 10.3221/IGF-ESIS.39.16 160 A probabilistic approach for multiaxial fatigue criteria M. Muñiz Calvente, S. Blasón, A. Fernández Canteli Department of Construction and Manufacturing Engineering, Univ. of Oviedo, 33203 Gijón, Spain munizcmiguel@uniovi.es, http://orcid.org/0000-0003-1769-2309 http://orcid.org/0000-0001-8071-9223 A. de Jesús, J. Correia Faculty of Mechanical Engineering, FEUP, University of Porto, Portugal http://orcid.org/0000-0002-1059-715X http://orcid.org/0000-0002-4148-9426 A BSTRACT . Models proposed to study the multiaxial fatigue damage phenomenon generally lack probabilistic interpretation due to their deterministic form. This implies failure compulsory happening at the plane exhibiting the maximum damage value, whereas the remaining planes are disregarded. Nevertheless, the random orientation of the predominant defect evidences the possibility of failure being initiated as a function of the predominant defect presence without requiring, necessarily, maximum values of the damage parameter, which emphasizes the need of introducing probabilistic concepts into the failure prediction analysis. In this paper, a probabilistic model is presented that enables the failure probability to be found for any selected plane orientation by considering the damage gradient as a parameter for both proportional and non-proportional loading. The applicability of the model is elucidated by means of an example. Assuming the cdf for the local failure of the material to be known, the probability of failure is calculated for a cross shaped specimen in which shift between the principal stresses xx  and yy  ranges from 0º to 180º. K EYWORDS . Fatigue Weibull Model; Multiaxial Fatigue; Generalized Local Model. Citation: Muñiz Calvente, M., Blasón, S., de Jesús, A., Correia, J., Fernández Canteli, A., A probabilistic approach for multiaxial fatigue criteria, Frattura ed Integrità Strutturale, 39 (2017) 160-165. Received: 11.06.2016 Accepted: 10.10.2016 Published: 01.01.2017 Copyright: © 2017 This is an open access article under the terms of the CC-BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. I NTRODUCTION sually, models proposed to study the multiaxial fatigue damage phenomenon are applied in their deterministic form. This implies failure always happening compulsory at the plane exhibiting the maximum damage, whereas the remaining planes are disregarded. Nevertheless, the random orientation of the predominant defect evidences U