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A subloading-friction model is formulated to describe the smooth transient variation from static friction to kinetic friction, the recovery to static friction after the sliding velocity decreases, and the accumulation of sliding displacement under the cyclic loading of contact stress. In the past relevant studies, however, the model formulation used for simulations is limited to the hypoelastic-based plasticity framework, and the validation of the model is limited to simulations of the test data for metal-to-metal friction. In this study, the formulation of the subloading-friction model based on a hyperelastic-based plasticity framework is adopted. In the fields of civil, geotechnical, agricultural engineering, and terramechanics, the interaction between soils and metals is critical, as reflected in construction and agricultural machinery, foundation piles, and retaining walls. The validity of the model for describing the friction between various sands and metals is verified by simulations of the experimental data under monotonic and cyclic loadings.


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Description of sand–metal friction behavior based on subloading-friction model

Show Author's information Toshiyuki OZAKI1Yuki YAMAKAWA2( )Masami UENO3Koichi HASHIGUCHI4,5
Kyushu Electric Engineering Consultants Inc., Fukuoka 810-0005, Japan
Department of Civil and Environmental Engineering, Tohoku University, Sendai 980-8579, Japan
University of the Ryukyus, Okinawa 903-0213, Japan
MSC Software Ltd., Tokyo 101-0054, Japan
Kyushu University, Fukuoka 819-0395, Japan

Abstract

A subloading-friction model is formulated to describe the smooth transient variation from static friction to kinetic friction, the recovery to static friction after the sliding velocity decreases, and the accumulation of sliding displacement under the cyclic loading of contact stress. In the past relevant studies, however, the model formulation used for simulations is limited to the hypoelastic-based plasticity framework, and the validation of the model is limited to simulations of the test data for metal-to-metal friction. In this study, the formulation of the subloading-friction model based on a hyperelastic-based plasticity framework is adopted. In the fields of civil, geotechnical, agricultural engineering, and terramechanics, the interaction between soils and metals is critical, as reflected in construction and agricultural machinery, foundation piles, and retaining walls. The validity of the model for describing the friction between various sands and metals is verified by simulations of the experimental data under monotonic and cyclic loadings.

Keywords: subloading-friction model, sand–metal friction, monotonic/cyclic sliding, static/kinetic friction

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Received: 08 June 2021
Revised: 19 October 2021
Accepted: 01 December 2021
Published: 02 May 2022
Issue date: October 2022

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© The author(s) 2021.

Acknowledgements

This study was partially supported by Japan Society for the Promotion of Science (JSPS), KAKENHI, Grant-in-Aid for Scientific Research (C), Grant No. JP19K04566 for Yuki YAMAKAWA.

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