Affiliation:
1. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine
Abstract
The frictionless contact between an elastic body and a rigid base in the presence of a periodically arranged quasielliptic grooves with in interface gaps in the presence of a compressible liquid is modeled. The contact problem formulated for the elastic half-space is reduced to a singular integral equation (SIE) with Hilbert kernel for a derivative of a height of the interface gaps, which is transformed to a SIE with Cauchy kernel that is solved analytically, and a transcendental equation for liquid’s pressure, which has been obtained from the equation of compressible barotropic liquid state. The dependences of the pressure of the liquid, shape of the gaps, average normal displacement and contact compliance of the bodies on the applied load and bulk modulus of the liquid are analysed.
Publisher
National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka)
Reference32 articles.
1. Etsion, I. (2005). State of the art in laser surface texturing. ASME J. Tribol, 127(1), 248–253.
2. Stepien P. (2011). Deterministic and stochastic components of regular surface texture generated by a special grinding process. Wear, 271(3-4), 514–518.
3. Martynyak, R., Chumak, K. (2012). Effect of heat-conductive filler on interface gap on thermoelastic contact of solids. Int. J. Heat Mass Transfer, 55(4), 1170–1178.
4. Shvets, R. N., Martynyak, R. M. (1985). Integral-equations of the contact thermoelasticity problem for rough bodies. Dopovidi Akademii Nauk Ukrainskoi RSR. Seriya A-Fiziko-Matematichni ta Technichni Nauki, 11, 37–40.
5. Martynyak, R., Chumak, K. (2009). Thermoelastic delamination of bodies in the presence of a heatconducting filler of the intercontact gap. Materials Science, 45(4), 513–522.