ИСТИНА

In the study of sliding contact of bodies with viscoelastic coatings, which are much more compliant than the substrate, it is possible to use the model of viscoelastic layer bonded to undeformable half-space. 3-D contact problem is often solved using one-dimensional model of the viscoelastic layer. 3-D model of viscoelastic material (viscoelastic half-space) have been used for quasistatic contact of a smooth slider. This study is focused on the problem of sliding at a constant speed of a smooth indenter and a system of two indenters over the viscoelastic layer of an arbitrary thickness bonded to a rigid half-space (3-D model of the viscoelastiс material). A numerical-analytical method for the contact problem solution is based on using double integral Fourier transforms to construct an analogue of Green's function; after that the boundary element method and iterations provide contact pressure distribution. The influence of the input parameters of the problem (the sliding speed, layer thickness, Poisson's ratio) on contact pressure and sliding resistance, caused by the rheological properties of the material, is analyzed. Mutual effect of indenters depending on the input parameters is studied in the case of two sliders. The contact problems solutions for the layer are compared with the results for viscoelastic half-space. It is shown that the maximum value of the coefficient which characterizes the hysteretic losses is larger in the case of a viscoelastic half-space. The contact pressure distributions are used to study internal stresses.