MODELING THE CONTACT INTERACTION BETWEEN ROUGH BODIES IN THE PRESENCEOF A LUBRICANT

The axisymmetric problem of the pressure transmission from a circular rigid punch to a linearly deformable foundation through a thin porous elastic layer (coating) adhering to it is studied. The physical and me chanical properties of the coating are described by the equations of B iot's model, while the motion of the viscous compressible fluid inside the pores is governed by Darcy's law of filtration. The problem is re duced to solving an integral equation of the second kind containing Fr edholm's operator with respect to the coordinate and Volterra's operat or with respect to time. To solve the problem the separation of variab les algorithm is used together with asymptotic long and short time met hods in the case of a problem with a prescribed domain of contact, and the step-by-step method is used when the boundary of the contact regi on is not specified. Analytic formulae for the basic characteristics o f contact interaction are obtained.