Polymer and composite materials are widely used as protective coatings and interlayers in friction units. Such structures often operate under difficult conditions of dynamic, cyclic or variable loading. Determining of polymer materials deformation pattern in dynamics requires the construction of their behavior nonlinear models. Studying the system behavior within the framework of the elasticity theory is not enough to analyze the contact unit operation. The construction of material behavior models taking into account rheology is required. A Maxwellian-type model based on Prony series can be one of the options for describing the polymers behavior. The viscoelastic behavior model of modified Polytetrafluoroethylene (PTFE) is considered in this work. The rheology influence on the deformation behavior of the antifriction layer under the dynamic load action has been studied taking into account the frictional contact with counter bodies. The studies were carried out with different layer thicknesses. It has been established that behavior modeling within the framework of elasticity theory is possible at short deformation times. Friction between the coating and the steel elements also makes a significant contribution to unit stress-strain state, especially with nonlinear behavior of materials.