Abstract
Sliding between solids always causes friction. In general, frictional force can be divided into two components: attractive force and repulsive force. In this study, we focus on the frictional force of the repulsive component arising from the viscoelasticity of solids. To represent the viscoelasticity of solids, the viscoelastic foundation was used: It is a simple modeling method in which the solid is described by an array of rheological elements that deform only in the perpendicular direction to the rigid base. In previous studies, the Kelvin-Voigt model was used as a rheological model, whereas in this research, the standard linear solid model (SLS model) capable of representing major viscoelastic properties (e.g., relaxation and retardation) was employed. We numerically obtained the velocity dependence of friction in steady states using the SLS foundation model. We found that the velocity range can be divided into three distinctive regions by asymptotes obtained theoretically. In conclusion, the Kelvin-Voigt foundation is effective in the low to medium velocity range, while the SLS foundation is effective in all velocity ranges.
