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Butterfly wings are closely related to the premature failure of rolling element bearings. In this study, butterfly formation is investigated using the developed semi-analytical three-dimensional (3D) contact model incorporating inclusion and material property degradation. The 3D elastic field introduced by inhomogeneous inclusion is solved by using numerical approaches, which include the equivalent inclusion method (EIM) and the conjugate gradient method (CGM). The accumulation of fatigue damage surrounding inclusions is described using continuum damage mechanics. The coupling between the development of the damaged zone and the stress field is considered. The effects of the inclusion properties on the contact status and butterfly formation are discussed in detail. The model provides a potential method for quantifying material defects and fatigue behavior in terms of the deterioration of material properties.


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Numerical study on butterfly wings around inclusion based on damage evolution and semi-analytical method

Show Author's information Ye ZHOU1,2( )Caichao ZHU1Xiaojin CHEN3Wei YE3
State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing 400030, China
College of Aerospace Engineering, Chongqing University, Chongqing 400044, China
Chongqing Wangjiang Industrial Co., Chongqing 400071, China

Abstract

Butterfly wings are closely related to the premature failure of rolling element bearings. In this study, butterfly formation is investigated using the developed semi-analytical three-dimensional (3D) contact model incorporating inclusion and material property degradation. The 3D elastic field introduced by inhomogeneous inclusion is solved by using numerical approaches, which include the equivalent inclusion method (EIM) and the conjugate gradient method (CGM). The accumulation of fatigue damage surrounding inclusions is described using continuum damage mechanics. The coupling between the development of the damaged zone and the stress field is considered. The effects of the inclusion properties on the contact status and butterfly formation are discussed in detail. The model provides a potential method for quantifying material defects and fatigue behavior in terms of the deterioration of material properties.

Keywords: contact fatigue, butterfly wings, semi-analytical method, damage evolution

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Publication history

Received: 08 May 2021
Revised: 24 June 2021
Accepted: 04 July 2021
Published: 15 September 2021
Issue date: September 2022

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© The author(s) 2021.

Acknowledgements

This project is supported by National Natural Science Foundation of China (Nos. 52005057 and 51975063), and the Fundamental Research Funds for the Central Universities (Nos. 2020CDJQY-A069 and 2021CDJGXB 008).

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