Argatov, IvanIvanArgatovPapangelo, AntonioAntonioPapangeloCiavarella, MicheleMicheleCiavarella2025-04-082025-04-082025-07-01International Journal of Non-Linear Mechanics 174: 105089 (2025)https://hdl.handle.net/11420/55256A compliantly fixed hemispherical indenter in adhesive contact with an elastic sample firmly bonded to a rigid base is considered under the assumption that the rigid base undergoes small-amplitude high-frequency normal (vertical) oscillations. A general law of the rate-dependent JKR-type adhesion is assumed, which relates the work of adhesion to the contact front velocity. Using the Bogoliubov averaging approach in combination with the method of harmonic balance, the leading-order asymptotic model is constructed for steady-state vibrations. The effective work of adhesion is evaluated in implicit form. A quasi-static approximation for the pull-off force is derived. The case of rigid fixation of the indenter is considered in detail.en0020-74622025Elsevierhttps://creativecommons.org/licenses/by/4.0/Asymptotic model | Bogoliubov's averaging | Hysteretic systems | JKR-type adhesion | Method of harmonic balance | Nonlinear vibrations | Rate-dependent adhesion | VibroadhesionTechnology::620: Engineering::620.1: Engineering Mechanics and Materials Science::620.11: Engineering MaterialsJournal Articlehttps://doi.org/10.15480/882.1503310.1016/j.ijnonlinmec.2025.10508910.15480/882.15033Journal Article