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A Maximum Likelihood Method for Estimating Probabilistic Strain Amplitude–Fatigue Life Curves

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A Correction to this article was published on 22 November 2018

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Abstract

The fatigue lives of materials and structures at different strain levels show heteroscedasticity. In addition, when the number of test specimens is insufficient, the fatigue strength coefficient and fatigue ductility coefficient of the fitting parameters in the total strain life equation may not have definite physical significance. In this work, a maximum likelihood method for estimating probabilistic strain amplitude–fatigue life curves is presented based on the fatigue lives at different strain levels. The proposed method is based on the general basic assumption that the logarithm of fatigue life at an arbitrary strain level is normally distributed. The relationship among the parameters of total strain life equation, monotonic ultimate tensile stress and percentage reduction of area is adopted. The presented approach is finally illustrated by two applications. It is shown that probabilistic strain amplitude–fatigue life curves can be easily estimated based on the maximum likelihood method. The results show that fatigue lives at different strain levels have heteroscedasticity and the values of fatigue strength coefficient and fatigue ductility coefficient obtained by the proposed method are close to those of the true tensile fracture stress and true tensile fracture strain.

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  • 22 November 2018

    In all the articles in Acta Mechanica Solida Sinica, Volume 31, Issues 1–4, the copyright is incorrectly displayed as “The Chinese Society of Theoretical and Applied Mechanics and Technology ” where it should be “The Chinese Society of Theoretical and Applied Mechanics”.

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Authors and Affiliations

  1. School of Energy and Power Engineering, Beihang University, Beijing, 100083, China

    Huanhuan Feng, Yanrong Wang & Xianghua Jiang

  2. Co-Innovation Center for Advanced Aero-Engine, Beihang University, Beijing, 100083, China

    Huanhuan Feng & Yanrong Wang

Authors
  1. Huanhuan Feng
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  2. Yanrong Wang
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  3. Xianghua Jiang
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Corresponding author

Correspondence to Xianghua Jiang.

Additional information

This work is supported by the National Natural Science Foundation of China (No. 51475022).

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Feng, H., Wang, Y. & Jiang, X. A Maximum Likelihood Method for Estimating Probabilistic Strain Amplitude–Fatigue Life Curves. Acta Mech. Solida Sin. 31, 80–93 (2018). https://doi.org/10.1007/s10338-018-0002-1

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  • DOI: https://doi.org/10.1007/s10338-018-0002-1

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