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.
Highlights
The interactions involving the frictional contact phenomena between solids constitute a fundamental topic in engineering and science
Referring to Eq (6), the material–time derivative of Eq (14) can be written as t http://friction.tsinghuajournals.com∣www.Springer.com/journal/40544 | Friction where the first term on the right side of Eq (15) corresponds to a variation in the subloading-sliding surface resulting from microscopic sliding, the second term corresponds to the pressure dependency, the third term corresponds to the sliding-weakening, and the fourth term corresponds to the recovery of the contact state
To establish a friction model that could be implemented into various numerical simulation methods, such as the finite element method, as a constraint condition, we formulated a rate, state- and pressure-dependent SF model based on the elastoplastic theory
Summary
The interactions involving the frictional contact phenomena between solids constitute a fundamental topic in engineering and science. Different from the state variable approach, another modeling method, termed the rate form approach, which describes the sliding friction behavior in the same manner as in the elastoplastic constitutive model, considering the relationship between the frictional stress rate and sliding velocity, was proposed in the 1980s. This approach, until recently, has been employed mainly in the domain of computational solid mechanics [17−19]. Superscripts ( )e and ( )p respectively denote elastic and plastic components, and the subscripts ( )n and ( )t respectively denote the normal and tangential components
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