ИСТИНА

In the study of sliding contact of indenter with a viscoelastic coating, which is much more rigid than the substrate, it is possible to use the model of a viscoelastic layer bonded to a rigid half-space. Sliding of different types of indenters has been considered for 2-D case. 3-D contact problem are 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. The aim of this work is to study the problem of sliding at a constant speed of a smooth indenter over the viscoelastic layer of an arbitrary thickness bonded to a rigid half-space. 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. The contact problem solution for the layer is compared with the results for viscoelastic half-space. It is shown that the maximum value of the coefficient/ which characterize the hysteretic losses, is larger in the case of a viscoelastic half-space. The contact pressure distributions are used to study the stress state in the layer. The influence of the input parameters of the problem on the maximum values of principal shear stress is analyzed.