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Influence of Compressible Intercontact Liquid on the Interaction of an Elastic Body with a Rigid Base Textured by Rectangular Grooves

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We study the frictionless contact of an elastic body with a rigid base containing a periodic system of rectangular grooves in the presence of a compressible liquid in the interface gaps. The formulated contact problem is reduced to a singular integral equation (SIE) with Hilbert kernel for the derivative of the height of interface gaps, which is transformed into a singular integral equation with Cauchy kernel that can be solved analytically, and a transcendental equation for the pressure of liquid obtained from the equation of state of compressible barotropic liquid. We analyze dependences of the pressure of liquid, shape of the gaps, contact approach of the bodies, and their contact compliance on the applied load and the bulk modulus of elasticity of the liquid.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    О. P. Kozachok

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  1. О. P. Kozachok
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Correspondence to О. P. Kozachok.

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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 54, No. 3, pp. 62–67, May–June, 2018.

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Kozachok, О.P. Influence of Compressible Intercontact Liquid on the Interaction of an Elastic Body with a Rigid Base Textured by Rectangular Grooves. Mater Sci 54, 354–360 (2018). https://doi.org/10.1007/s11003-018-0192-1

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  • DOI: https://doi.org/10.1007/s11003-018-0192-1

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