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Harmonic vibrations of a rigid impervious punch on a porous elastic base

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Abstract

A problem on harmonic vibrations of a rigid impervious punch on a liquid-saturated poroelastic base is considered. The base is modeled by a system of Biot equations. These equations take into account elastic, inertial, and viscous interactions of the solid and liquid phases. To solve the corresponding boundary-value problem, the solution of the Lamb problem for a poroelastic half-plane and the method of orthogonal polynomials are used. Features of the contact stresses are examined depending on the vibration frequency and base permeability.

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Authors
  1. A. M. Gomilko
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  2. N. S. Gorodetskaya
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  3. A. N. Trofimchuk
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Additional information

Hydromechanics Institute. National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 35, No. 12, pp. 85–93, December, 1999.

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Gomilko, A.M., Gorodetskaya, N.S. & Trofimchuk, A.N. Harmonic vibrations of a rigid impervious punch on a porous elastic base. Int Appl Mech 35, 1277–1286 (1999). https://doi.org/10.1007/BF02682402

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  • DOI: https://doi.org/10.1007/BF02682402

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