Adhesion of a Rigid Punch to an Incompressible Elastic Film

Abstract

The adhesion between a rigid flat-end cylindrical punch and an incompressible elastic film deposited on a rigid substrate is studied. The contact interfaces between the punch and the elastic film and between the elastic film and the rigid substrate are either free to slide over one another (frictionless or slip boundary condition) or locked together (perfectly bonded or stick boundary condition). The solutions for these cases are the upper and lower bounds for the real situation in which the contact interfaces are neither frictionless nor perfectly bonded. By use of a thermodynamic method with the assumption that the detachment starts at the periphery so that the contact area remains circular all the time, the pull-off force to separate the rigid cylindrical punch from the elastic layer is obtained. The results show that the pull-off force strongly depends on the contact conditions at the interfaces.

Cell dynamic adhesion and elastic properties probed with cylindrical atomic force microscopy cantilever tips

“…When pulling an elastic half space with a rigid flat-ended punch, the force is developed around the periphery of the contact. Thus, the bonds located at the circular rim are those which support loading during the linear increase in the pulling force (Yang and Li, 2001). We can therefore interpret the kinetics of rupture profiles in three main steps: (1) cooperative detachment of the outermost ring of bonds (peak of force and subsequent drop), especially at high LRs where cooperativity is known to be enhanced , (2) successive sequential unbinding of the remaining inner complexes (further jumps preceded by linear force ramps) and (3) occasional formation of long membrane tethers (jumps preceded of force plateaus ranging few microns) .…”

Soft and Hard Adhesion

“…Figure 5 illustrating our axisymmetric pull-off force apparatus, is given in the section on Materials and Methods, which follows the conclusions. Case I: Rigid disk on a soft elastic slab (a=h < < 1): It was observed first by Kendall [1] and later by other groups [3,4,7,[10][11][12] that for a rigid disk being pulled from a soft elastic slab, the crack initiates at the periphery of the contact and propagates toward the center (edge crack, Figure 3a). The situation can be analyzed using the overall energy balance approach of Kendall [1] or by the stress intensity approach as was done by Maugis [20].…”

“…Among his numerous contributions, a special case involves pulling rigid studs from soft elastic layers. In recent years, considerable attention has been paid to these classes of problems in the context of understanding, among others, the adhesion of rigid objects to soft materials [3][4][5][6][7][8][9][10] and the release behavior of fouling organisms [11][12][13] from various surfaces.…”

Barnacles resist removal by crack trapping

“…It is interesting to point out that, Yang & Li [28] considered the special case where both the punch -layer and the layer -substrate interfaces are frictionless. For this case, they show that the pull-off force is given by…”

“…According to the exact analysis of Yang & Li (YL) [28], for very thin layers that are perfectly bonded to the punch, the numerical constant v should be p/2. Despite the difficulty with Kendall's model (e.g.…”