Rate-dependent JKR-type decohesion of a cylindrical punch from an elastic substrate

Recently published experimental data on non-quasistatic detachment of a flat-ended cylindrical punch from an adhesive rubber layer are analyzed in the framework of axisymmetric rate-dependent JKR-type model. The functional dependence of the work of adhesion on the velocity of the contour of contact area is assumed according to the known Gent-Schultz model. The evolution of the variable contact radius as a function of the punch displacement is described by a first-order ordinary differential equation, which possesses the localization property for its solutions, meaning that the detachment occurs at some nonzero contact radius. To facilitate the model fit to experimental force-displacement curve, a computationally efficient analytical approximate solution is suggested. A parametric analysis of the basic case (when the rubber layer is approximated by an elastic half-space) is presented.

Automated summary

This study analyzes the non-quasistatic detachment of a flat-ended cylindrical punch from an adhesive rubber layer using recent experimental data. The work of adhesion is assumed to depend on the velocity of the contact area contour according to the Gent-Schultz model. The evolution of the contact radius as a function of punch displacement is described by a first-order ordinary differential equation, which exhibits nonzero detachment. An analytically approximate solution is proposed to fit the model to experimental force-displacement curves, and a parametric analysis of the rubber layer as an elastic half-space is presented.