journal article·2026-07Open access

A new method for calculating the initial load and propagation rate of low cycle fatigue cracks in precast notch metal bars

Yujian Ren, Xuesong Yang, Ying Li, Peng Zhang, Boyang Liu, Yuanzhe Dong, Hao Zhou, Kai Cao, Shengdun Zhao

Abstract

This paper proposes new methods for calculating the crack initiation load and crack growth rate of notched metal bars under low-cycle fatigue cropping. The crack initiation load formula is established based on the cyclic plastic zone size, while the crack growth rate formula is derived by modifying the Zheng-Hirt formula. Both new formulas take into account the effects of grain size and short crack behavior, further enhancing the accuracy of result predictions. The new calculation method is simple in form and convenient to use, which is suitable for engineering practice. Combined with the experimental results, the influence coefficients of grain size of 45 steel bars with prefabricated V-shaped notch are obtained as follows: in the crack initiation load model , , in the crack growth rate model . The model is assessed by comparing it with numerical simulation, theoretical calculation, and experimental results, and good consistency is demonstrated.
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Research context

OpenAlex topics: Fatigue and fracture mechanics · Mechanical Failure Analysis and Simulation · High Temperature Alloys and Creep

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