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Uzawa algorithm to solve elastic and elastic–plastic fretting wear problems within the bipotential framework

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Abstract

This paper deals with elastic and elastic–plastic fretting problems. The wear gap is taken into account along with the initial contact distance to obtain the Signorini conditions. Both the Signorini conditions and the Coulomb friction laws are written in a compact form. Within the bipotential framework, an augmented Lagrangian method is applied to calculate the contact forces. The Archard wear law is then used to calculate the wear gap at the contact surface. The local fretting problems are solved via the Uzawa algorithm. Numerical examples are performed to show the efficiency and accuracy of the proposed approach. The influence of plasticity has been discussed.

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Acknowledgements

We gratefully acknowledge the financial support of the National Key R&D Program of China (Grant No. 2017YFB0703200) and the National Natural Science Foundation of China (Grant No. 11772274).

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Authors and Affiliations

  1. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu, China

    Po Ning, Zhi-Qiang Feng, Yang-Jing Zhou & Lei Peng

  2. LMEE Univ-Evry, Université Paris-Saclay, Evry, France

    Zhi-Qiang Feng

  3. CONACYT - Instituto Tecnológico de Ensenada, Ensenada, B.C., Mexico

    Juan Antonio Rojas Quintero

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  1. Po Ning
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  2. Zhi-Qiang Feng
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  3. Juan Antonio Rojas Quintero
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  4. Yang-Jing Zhou
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  5. Lei Peng
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Correspondence to Zhi-Qiang Feng.

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Ning, P., Feng, ZQ., Quintero, J.A.R. et al. Uzawa algorithm to solve elastic and elastic–plastic fretting wear problems within the bipotential framework. Comput Mech 62, 1327–1341 (2018). https://doi.org/10.1007/s00466-018-1567-8

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  • DOI: https://doi.org/10.1007/s00466-018-1567-8

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