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.
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Shingo Ozaki. He received his Ph.D. degree from Kyushu University, Japan, in 2005. After that he worked as an assistant professor at Department of Mechanical Engineering in Tokyo University of Science, Japan. His current position is an associate professor at Department of Mechanical Engineering in Yokohama National University, Japan. His research area covers the tribology and computational mechanics of solids.
Satoru Maegawa. He received his Ph.D. degree in mechanical engineering from Yokohama National University, Japan, in 2012. His current position is an associate professor at Department of Electrical and Mechanical Engineering, Nagoya Institute of Technology, Japan. His research area covers the tribology of soft materials, the control of friction-induced vibration, and laser-manufacturing technologies.
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Ozaki, S., Matsuura, T. & Maegawa, S. Rate-, state-, and pressure-dependent friction model based on the elastoplastic theory. Friction 8, 768–783 (2020). https://doi.org/10.1007/s40544-019-0321-3
- friction model
- elastoplastic theory
- contact surface