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International Journal of Fluid Mechanics Research
ESCI SJR: 0.22 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimir: 2152-5102
ISSN En Línea: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v28.i1-2.130
pages 173-184

Asymptotic Solution of Contact Harmonic Problem for an Impenetrable Stamp on a Poroelastic Base

A. M. Gomilko
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
A. N. Trofimchuk
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

SINOPSIS

An asymptotic solution is obtained and analyzed for the harmonic contact problem of the oscillations of an impenetrable rigid stamp located on a liquid-saturated poroelastic half-space. When the oscillation frequency tends to zero, efficient contact stress is demonstrated, similarly to the corresponding elasticity theory problem, to have root singularity as the edge of the stamp is approached. In this case, contact porous pressure is a smooth function, and the order of decrease of its amplitude is different, depending on whether or not the viscosity of the filling liquid it taken into account.


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