Damage accumulation probability model based on the equivalent principle of failure probability

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (14) : 132-138.

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Damage accumulation probability model based on the equivalent principle of failure probability

CHEN Zhuo，YAN Ming*，JIN Yingli

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Abstract

The impact damage accumulation model plays a crucial role in the impact resistance design and life prediction of materials. In order to accurately quantify its evolution process and probability characteristics, a damage model and average life prediction formula based on the principle of equivalent failure probability are proposed. Firstly, the general distribution characteristics of material fatigue life and damage accumulation, as well as the general laws of impact fatigue damage accumulation, are analyzed. Secondly, based on the equivalent theory of failure probability, the corresponding probabilistic damage model and expected life formula are provided. Finally, taking 6061 aluminum alloy shaft as the experimental object, the prediction errors of the damage model based on the principle of equivalent failure probability and the cumulative damage mean model are compared. The results show that the former has significantly better prediction accuracy than the latter. The fatigue damage accumulation rate of aluminum alloy specimens is relatively high in the early stage, gradually decreases with the increase of loading times, and finally shows a rapid growth trend. It is proved that the proposed impact damage probability model is reliable, which provides theoretical reference and data basis for the study of probabilistic damage of materials.

Key words

equivalent principle of failure probability / impact damage accumulation / probabilistic damage model / Weibull distribution

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CHEN Zhuo, YAN Ming, JIN Yingli. Damage accumulation probability model based on the equivalent principle of failure probability[J]. Journal of Vibration and Shock, 2025, 44(14): 132-138

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