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Extra resources for Fatigue Failure and Fracture Mechanics
The aim of this paper is to compare the results of experimental tests performed on cylindrical elements with ring notches to the results of lifetime prediction determined by using the fictitious radius [2-4, 8]. Determination of the value and the fictitious radius for ring-notched elements In order to estimate the fatigue life, a concept of the fictional radius by Neuber was used . The fictitious radius at the notch root allowed to calculate the maximum stresses. Determination of this radius results from the mean stresses at the notch root.
Soc. Test. Mater. Proc. (1910), 10:625–30.  Schütz W. A history of fatigue. Engineering Fracture Mechanics (1996), 54:263–300.  Berger C, Pyttel B, Schwerdt D. Beyond HCF – Is there a fatigue limit? Materialwissenschaft Und Werkstofftechnik (2008), 39:769–76.  Gerber WZ. Bestimmung der zulässigen spannungen in eisen-constructionen (Calculation of the allowable stresses in iron structures). Z Bayer Archit. Ing-Ver (1874), 6:101–10.  Goodman J. Mechanics applied to engineering. ; 1899.
The obtained mean fatigue curves were based on the modified stress σ/E0 (E0 – initial stiffness) for the assumed rule-determined slope or y-intercept. The highest agreement with the literature was obtained for Σn/N=10. Introduction Due to the complexity of the fatigue processes, physical descriptions are often impossible to define, and thus, in most methods that allow for a calculated evaluation of fatigue life, the fatigue damage accumulation hypothesis is used. Publications [1,2] refer to several hypotheses of fatigue damage accumulation for different materials.