An increase of static friction during stationary contacts of two solids due to interfacial chemical bonding has been reported in multiple experiments. However, the physics underlying such frictional aging is still not fully understood because it involves multiple physical and chemical effects coupled with each other, making direct interpretation of experimental results difficult. Here, we develop a multiphysics chemical aging model that combines contact mechanics, mechanochemistry, and interfacial chemical reaction kinetics. Our model predicts that aging is proportional to normal loads in a low-load regime and becomes nonlinear at higher loads. We also discovered a nonmonotonic temperature dependence of aging with a peak near room temperature. In addition, our simulations provide insights into contributions from specific physical/chemical effects on the overall aging. Our model shows quantitative agreement with available single-asperity experiments on silica-silica interfaces, and it provides a framework for building a chemical aging model for other material systems with arbitrary types of physical and chemical effects involved.
Main textSolid-solid frictional interfaces can undergo significant evolution over the time they are held in a stationary contact prior to sliding. This so-called frictional aging [1-5] is known to play a critical role in nucleation and recurrence of earthquakes [5], and also has a large influence on the performance and durability of microelectromechanical systems [6][7][8]. In general, aging has been attributed either to a change in contact area due to plastic deformation and/or to the change in quality of the interface due to chemical strengthening of the interface. In this study we focus on the role of chemical aging in friction. Possible mechanisms behind this phenomenon discussed previously in literature include formation of covalent bonds [9] and capillary condensation [10]. Chemical aging in friction was isolated for the first time by Li et al. [9] in atomic force microscopy (AFM) experiments. In this work, the authors reported a logarithmic increase of static friction with the hold time between an amorphous silica tip and an amorphous silica substrate. The underlying mechanism was later revealed by a theoretical study [11] which showed that formation of siloxane bonds across the hydroxylated silica-silica interface [12] alone can lead to the logarithmic aging based on the following reaction Si-OH + Si-OH = Si-O-Si + H 2 O Recently, AFM experiments by Tian et al [13] revealed that the amount of frictional aging increases linearly with the applied normal load. This linear dependence was attributed to the contact mechanics effect, i.e., to an almost linear relationship between the contact area and the normal load at low loads. This explanation is plausible, however, if contact mechanics truly plays an important role in aging, there should be a non-linear dependence of aging on normal load at high loads, which effect was not observed within the range of normal loads reported in Ref. [...