Czerny, BernhardBernhardCzerny0000-0001-8147-3122Castillo, EnriqueEnriqueCastilloFernández Lavín, Alfonso AntonioAlfonso AntonioFernández Lavín0000-0002-0356-0180Blasón, SergioSergioBlasón0000-0003-4788-6024Khatibi, GoltaGoltaKhatibiZareghomsheh, MohammadMohammadZareghomsheh0000-0002-2862-44862022-04-052022-04-052021-12Open Journal of Statistics, 11 (6), December 2021, 1072-10962161-718X2161-7198http://hdl.handle.net/20.500.11790/1802The purpose of this research is to develop a model, with emphasis on compatibility conditions and model building, valid for high cycle fatigue design components such as wind turbines, automobiles, high speed railways and aeronautical material. In this work, we have added the frequency as one more variable to an existing fatigue model that already includes maximum stress, stress ratio and lifetime. As a result, a model and estimation method has been proposed and a random variable V has been identified, which, allows the accumulated damage and the probability of failure to be assessed for any load history in terms of stress levels, stress ranges and frequencies. Finally, the model is validated using a large set of real experimental data.eninfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Compatibility ConditionsRegression ModelCumulative DamageFrequency EffectFunctional EquationsWissenschaftlicher Artikel10.4236/ojs.2021.116064