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A Parametric Lifetime Model for the Prediction of High‐Cycle Fatigue Based on Stress Level and Amplitude
Author(s) -
CASTILLO ENRIQUE,
FERNÁNDEZCANTELI ALFONSO
Publication year - 2006
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/j.1460-2695.2006.01068.x
Subject(s) - amplitude , parametric statistics , stress (linguistics) , structural engineering , field (mathematics) , mathematics , constant (computer programming) , vibration fatigue , test data , fatigue testing , engineering , statistics , computer science , physics , linguistics , philosophy , software engineering , quantum mechanics , pure mathematics , programming language
The goal of this paper is to present a general parametric lifetime model for predicting fatigue behaviour at any stress level and amplitude (for example, at any combination of σ max and σ min pair) in the high‐cycle fatigue regime. The problem of the design of the experimental laboratory test required for such a prediction is dealt with. The surprising and relevant result is that running two groups of tests for two different constant stress levels of σ max or σ min is sufficient to predict the whole collection of Wöhler fields for any possible stress level. However, some combinations of tests, such as one for a fixed value of σ max and one for a fixed value of σ min , are shown to be insufficient. Closed formulas for obtaining any Wöhler field from the results of the experiments corresponding to the two different fixed values of σ max or σ min are given. Together the proposed model and lab tests allow any fatigue analysis to be performed in the current investigation. One example of application illustrates the proposed method.