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IssuesArchive of Issues2021-7pp.1407-1415

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O.A. Belyak and T.V. Suvorova, "Punch Vibration on the Surface of a Heterogeneous Layer Taking into Account Friction in the Contact Zone," Mech. Solids. 56 (7), 1407-1415 (2021)
Year 2021 Volume 56 Number 7 Pages 1407-1415
DOI 10.3103/S0025654421070086
Title Punch Vibration on the Surface of a Heterogeneous Layer Taking into Account Friction in the Contact Zone
Author(s) O.A. Belyak (Rostov State Transport University, Rostov-on-Don, 344038 Russia, o_bels@mail.ru)
T.V. Suvorova (Rostov State Transport University, Rostov-on-Don, 344038 Russia, suvorova_tv111@mail.ru)
Abstract A contact problem concerning the vibrations of a punch with a flat base on the surface of a heterogeneous layer is considered taking into account friction forces in the contact zone. The micro-structure of a porous-elastic layer saturated with a fluid is described by Biot–Frenkel equations; in the contact zone, the Coulomb-Amonton law of friction is satisfied. The boundary value problem is reduced to a difference integral equation of the first-kind for contact pressures. An approximate solution of the integral equation is constructed using a boundary element method. The effect of vibration frequency and layer thickness exerted on contact stresses is studied by the example of an oil-containing phenylone-based composite, whose mechanical moduli have been determined using micromechanical methods.
Keywords dynamic contact problem, heterogeneous layer, contact zone with friction
Received 30 January 2021Revised 25 February 2021Accepted 25 February 2021
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