Temperature dependent model for the quasi-static stick–slip process on a soft substrate - Archive ouverte HAL
Journal Articles Soft Matter Year : 2023

Temperature dependent model for the quasi-static stick–slip process on a soft substrate

Abstract

The classical Prandtl–Tomlinson model is the most famous and efficient method to describe the stick–slip phenomenon and the resulting friction between a slider and a corrugated substrate. It is widely used in all studies of frictional physics and notably in nanotribology. However, it considers a rigid or undeformable substrate and therefore is hardly applicable for investigating the physics of soft matter and in particular biophysics. For this reason, we introduce here a modified model that is capable of taking into consideration a soft or deformable substrate. It is realized by a sequence of elastically bound quadratic energy wells, which represent the corrugated substrate. We study the quasi-static behavior of the system through the equilibrium statistical mechanics. We thus determine the static friction and the deformation of the substrate as a function of temperature and substrate stiffness. The results are of interest for the study of cell motion in biophysics and for haptic and tactile systems in microtechnology.
Fichier principal
Vignette du fichier
rsc-articletemplate-softmatter.pdf (3.81 Mo) Télécharger le fichier
Origin Files produced by the author(s)
Licence

Dates and versions

hal-04043292 , version 1 (23-03-2023)

Licence

Identifiers

Cite

Stefano Giordano. Temperature dependent model for the quasi-static stick–slip process on a soft substrate. Soft Matter, 2023, 19 (9), pp.1813-1833. ⟨10.1039/d2sm01262f⟩. ⟨hal-04043292⟩
33 View
36 Download

Altmetric

Share

More