This work deepens a semi-analytical framework to investigate reversible adhesive contact. The considered configuration consists in a rigid spherical indenter and a carpet of viscoelastic fibrils, which relevant to bio-inspired engineered surfaces. The mechanical response of the fibrils is described using a standard viscoelastic solid (SVS) model, enabling the representation of coupled elastic and time-dependent effects. The contact problem is formulated by prescribing the approach of a rigid sphere, governed by a harmonic displacement law, toward the fibrillar substrate and by considering reversible adhesive contact conditions. Closed-form expressions are derived for the pull-off force as a function of vibration frequency and amplitude, highlighting the influence of material properties and dynamic loading parameters on detachment behavior. The proposed analytical model is validated through finite element method (FEM) simulations, which demonstrate good agreement with the analytical solution, thus confirming the capability of the model to accurately capture the mechanics of vibration-assisted adhesion, without introducing overly strict or complex hypotheses.
Califano et al. (Mon,) studied this question.
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