A JKR-Like Solution for Viscoelastic Adhesive Contacts

Frontiers in Mechanical Engineering

Guido Violano¹  Luciano Afferrante¹  Antoine Chateauminois² 

[1] Department of Mechanics, Mathematics and Management, Polytechnic University of Bari, Bari, Italy;Soft Matter Science and Engineering Laboratory (SIMM), PSL Research University, UPMC Univ Paris 06, Sorbonne Universités, ESPCI Paris, CNRS, Paris, France;

关键词: rate-dependent adhesion;    viscoelasticity;    JKR theory;    soft matter;    pull-off force;   

DOI  :  10.3389/fmech.2021.664486

来源: DOAJ

【 摘 要 】

A closed-form solution for the adhesive contact of soft spheres of linear elastic material is available since 1971 thanks to the work of Johnson, Kendall, and Roberts (JKR). A similar solution for viscoelastic spheres is still missing, though semi-analytical and numerical models are available today. In this note, we propose a closed-form analytical solution, based on JKR theory, for the detachment of a rigid sphere from a viscoelastic substrate. The solution returns the applied load and contact penetration as functions of the contact radius and correctly captures the velocity-dependent nature of the viscoelastic pull-off. Moreover, a simple approach is provided to estimate the stick time, i.e., the delay between the time the sphere starts raising from the substrate and the time the contact radius starts reducing. A simple formula is also suggested for the viscoelastic pull-off force. Finally, a comparison with experimental and numerical data is shown.

【 授权许可】

Unknown