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Research Article | Open Access

Rate-, state-, and pressure-dependent friction model based on the elastoplastic theory

Shingo OZAKI1( ), Takeru MATSUURA1, Satoru MAEGAWA2
Division of System Research, Yokohama National University, Tokiwadai 79-5, Hodogaya-ku, Yokohama 240-8501, Japan
Department of Electrical and Mechanical Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555, Japan
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Abstract

Adhesion is one of essences with respect to rubber friction because the magnitude of the friction force is closely related to the magnitude of adhesion on a real contact area. However, the real contact area during sliding depends on the state and history of the contact surface. Therefore, the friction force occasionally exhibits rate-, state-, and pressure dependency. In this study, to rationally describe friction and simulate boundary value problems, a rate-, state-, and pressure-dependent friction model based on the elastoplastic theory was formulated. First, the evolution law for the friction coefficient was prescribed. Next, a nonlinear sliding surface (frictional criterion) was adopted, and several other evolution laws for internal state variables were prescribed. Subsequently, the typical response characteristics of the proposed friction model were demonstrated, and its validity was verified by comparing the obtained results with those of experiments conducted considering the contact surface between a rough rubber hemisphere and smooth acrylic plate.

Keywords

adhesionfriction modelelastoplastic theorycontact surfacestick-slip

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Friction
Volume 8 Issue 4,
August 2020
Pages 768-783
DOI: 10.1007/s40544-019-0321-3
Cite this article:
OZAKI S, MATSUURA T, MAEGAWA S. Rate-, state-, and pressure-dependent friction model based on the elastoplastic theory. Friction, 2020, 8(4): 768-783. https://doi.org/10.1007/s40544-019-0321-3

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Received: 13 May 2019
Revised: 04 July 2019
Accepted: 28 July 2019
Published: 04 January 2020
© The author(s) 2019

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