Effect of interaction of heterogeneous base phases on contact stresses at punch oscillations with friction

Authors

  • Belyak O.A. Rostov State Transport University, Rostov-on-Don, Российская Федерация
  • Suvorova T.V. Rostov State Transport University, Rostov-on-Don, Российская Федерация

UDC

539.3

DOI:

https://doi.org/10.31429/vestnik-17-3-29-36

Abstract

The dynamic contact problem of vibrations of a rigid punch on a semi-infinite heterogeneous foundation, consisting of a viscoelastic skeleton and a viscous fluid, is considered, taking into account friction in the contact area and phase interaction. The microstructure of the base is taken into account in the framework of the model of a heterogeneous medium, which is described by the Biot-Frenkel equations. The boundary value problem using the Fourier transform is reduced to an integral equation of the first kind with a difference kernel. After regularization the integral equation by explicitly identifying the singularity of its kernel, the solution is constructed approximately, while the numerical discretization of the contact area is carried out on the basis of the boundary element method. Approximate solutions are constructed that describe contact pressures and tangential displacements under the punch. The calculations were carried out for an oil-filled composite based on aromatic polyamide phenylone containing an aluminosilicate nanosized additive bentonite. The dependences of the propagation of surface waves with an increase in the viscosity and permeability of the base, the influence on the contact stresses of the oscillation frequency, porosity and permeability of a heterogeneous medium, and fluid viscosity are investigated. At low values, an increase in viscosity and a decrease in the permeability coefficient of the composite reduces the asymmetry of the distribution of contact stresses, and causes the maximum stress in the contact area to move during the oscillation period. At higher frequencies and higher viscosity, the effect of stress stabilization under the punch far from its edges is observed.

Keywords:

dynamic contact problem, friction and oscillation in contact domain, interaction liquid and elastic foundation media

Acknowledgement

Работа выполнена при поддержке РФФИ (грант 18-08-00260-а).

Author Infos

Olga A. Belyak

канд. физ.-мат. наук, доцент кафедры высшей математики Ростовского государственного университета путей сообщения

e-mail: o_bels@mail.ru

Tatyana V. Suvorova

д-р физ.-мат. наук, профессор кафедры высшей математики Ростовского государственного университета путей сообщения

e-mail: suvorova_tv111@mail.ru

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Issue

2020. Vol. 17. No. 3

Section

Mechanics

Pages

29-36

Submitted

2020-07-31

Published

2020-09-28

How to Cite

Belyak O.A., Suvorova T.V. Effect of interaction of heterogeneous base phases on contact stresses at punch oscillations with friction. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2020, vol. 17, no. 3, pp. 29-36. DOI: https://doi.org/10.31429/vestnik-17-3-29-36 (In Russian)

Copyright (c) 2020 Belyak O.A., Suvorova T.V.

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