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Friction 2023, 11(10): 1922-1938 https://doi.org/10.1007/s40544-022-0730-6
Research Article | Open Access | Issue | Published: 23 March 2023

A modified model of Lundberg–Palmgren rolling contact fatigue formula considering the effects of surface treatments

Show Author's Information Boyu ZHANG1,  Huaiju LIU1( ),  Peitang WEI1,  Mario GUAGLIANO2,  Shengwen HOU3
State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing 400044, China
Dept. Mechanical Engineering, Politecnico di Milano, Milano 20133, Italy
Shaanxi Fast Auto Drive Refco Group Ltd., Xi’an 710119, China
Keywords:
surface integrity, Lundberg–Palmgren (L–P) fatigue life formula, surface strengthening techniques, contact fatigue life assessment
Cite this article:
ZHANG B, LIU H, WEI P, et al. A modified model of Lundberg–Palmgren rolling contact fatigue formula considering the effects of surface treatments. Friction, 2023, 11(10): 1922-1938. https://doi.org/10.1007/s40544-022-0730-6
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Abstract Full text About this article

The Lundberg–Palmgren (L–P) fatigue life formula, as a statistical fatigue theory, has been widely used in the industry. However, its direct applicability is limited to the components treated by surface strengthening technologies. Rolling contact fatigue tests and surface integrity measurements of American Iron and Steel Institute (AISI) 9310 rollers with several surface treatments were performed to address this issue. Based on these results, a modified L–P fatigue model was proposed, enabling the consideration of surface modification including surface roughness, residual stress, and hardening introduced by different surface treatments. Compared with the original L–P fatigue formula, its results are more accurate for surface strengthened specimens. Furthermore, this method can assess the contact fatigue life of gears treated by surface strengthening techniques.


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About this article

A modified model of Lundberg–Palmgren rolling contact fatigue formula considering the effects of surface treatments

Show Author's information Boyu ZHANG1, Huaiju LIU1( ), Peitang WEI1, Mario GUAGLIANO2, Shengwen HOU3
State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing 400044, China
Dept. Mechanical Engineering, Politecnico di Milano, Milano 20133, Italy
Shaanxi Fast Auto Drive Refco Group Ltd., Xi’an 710119, China

Abstract

The Lundberg–Palmgren (L–P) fatigue life formula, as a statistical fatigue theory, has been widely used in the industry. However, its direct applicability is limited to the components treated by surface strengthening technologies. Rolling contact fatigue tests and surface integrity measurements of American Iron and Steel Institute (AISI) 9310 rollers with several surface treatments were performed to address this issue. Based on these results, a modified L–P fatigue model was proposed, enabling the consideration of surface modification including surface roughness, residual stress, and hardening introduced by different surface treatments. Compared with the original L–P fatigue formula, its results are more accurate for surface strengthened specimens. Furthermore, this method can assess the contact fatigue life of gears treated by surface strengthening techniques.

Keywords: surface integrity, Lundberg–Palmgren (L–P) fatigue life formula, surface strengthening techniques, contact fatigue life assessment

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Publication history

Received: 21 October 2022
Revised: 18 November 2022
Accepted: 05 December 2022
Published: 23 March 2023
Issue date: October 2023

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© The author(s) 2022.

Acknowledgements

This work was supported the National Natural Science Foundation of China (No. 52275050) and Shaanxi Key Laboratory of Gear Transmission Open Program (No. SKLGT-2022-005).

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