Simulation of Adhesive Contact of Soft Microfibrils

Adhesive contact between a flat brush structure with deformable microfibrils and an elastic half space is numerically simulated. The stiffness of pillars is modeled by linear springs. The fast Fourier transform-assisted boundary element method for the contact of rigid indenters is modified to include the microfibril stiffness so that the deflection of pillars and elastic interaction to elastic foundation are coupled. In the limiting case of rigid pillars (pillar stiffness is much larger than the contact stiffness), the adhesive force is determined by the filling factor of brush, as described earlier. In the case of very soft pillars, the adhesive force is proportional to N-1/4, where N is the number of pillars. The influence of relative stiffness, number and distribution of pillars on adhesive force is studied numerically. The results from both regularly and randomly distributed pillars show that the adhesive force is enhanced by splitting a compact punch into microfibrils and this effect becomes larger when the fibrils are softer.