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High and low cycle fatigue failure effects of metals predicted automatically from innovative elastoplastic equations with high-efficiency algorithms

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Abstract

New finite strain elastoplastic \(J_2\)-flow equations with no reference to the yield condition are proposed for the purpose of simultaneously simulating low-to-ultrahigh cycle failure effects of metals. As inherent response features of such new equations, the entire responses up to eventual failure under cyclic and non-cyclic loadings of constant and variable amplitudes are automatically predicted, in a direct sense without involving any additional damage-like variables and any ad hoc failure criteria. The thermodynamic consistency is ensured by demonstrating that the intrinsic dissipation is identically non-negative. Furthermore, a high-efficiency algorithm for integrating the elastoplastic rate equations is established toward bypassing very time-consuming numerical procedures in treating cyclic responses with high and even ultrahigh cycle number. With numerical examples, model predictions are shown to be in good agreement with fatigue failure data for low, high and very high cycle numbers, and the new algorithm is shown to be much faster and far more efficient than usual integration procedures.

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Acknowledgements

This study was jointly supported by the fund from the Natural Science Foundation of China (No.:11372172) and the start-up fund from Jinan University, Guangzhou, China.

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Authors and Affiliations

  1. School of Mechanics and Construction Engineering and MOE Key Lab of Disaster Forecast and Control in Engineering, Jinan University, Guangzhou, 510632, China

    Lin Zhan, Si-Yu Wang, Hui-Feng Xi & Heng Xiao

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  1. Lin Zhan
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  2. Si-Yu Wang
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  3. Hui-Feng Xi
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  4. Heng Xiao
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Correspondence to Heng Xiao.

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Communicated by Andreas Öchsner.

Professor Dr. Holm Altenbach on the occasion of his 65th birthday

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Zhan, L., Wang, SY., Xi, HF. et al. High and low cycle fatigue failure effects of metals predicted automatically from innovative elastoplastic equations with high-efficiency algorithms. Continuum Mech. Thermodyn. 33, 1041–1052 (2021). https://doi.org/10.1007/s00161-020-00945-6

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