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Freudenthal, G.E. and Gumbel, A.M. (1956) Physical and Statistical Aspects of Fatigue. In: Advances in Applied Mechanics, Volume 4, Academic Press, New York, 117-158.
https://doi.org/10.1016/S0065-2156(08)70372-7

has been cited by the following article:

• TITLE: Step-by-Step Building of a Four Dimensional Fatigue Compatible Regression Model including Frequencies

  AUTHORS: Enrique Castillo, Alfonso Fernández-Canteli, Sergio Blasón, Golta Khatibi, Bernhard Czerny, Mohammad Zareghomsheh

  KEYWORDS: Compatibility Conditions, Cumulative Damage, Frequency Effect, Functional Equations, Regression Model

  JOURNAL NAME: Open Journal of Statistics, Vol.11 No.6, December 29, 2021

  ABSTRACT: The 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.