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As part of the paper, the stress-strain state of the layer with spherical holes for lubricant was analyzed. A part of the sliding layer with one hole for lubricant was considered. The paper deals with an unfavorable case: the lack of lubrication in the recession. A comparison of deformation behavior of a sliding layer part made of three polymeric materials is presented: modified fluoroplastic, anti-friction fluoroplastic-based composite material with spherical bronze inclusions and molybdenum disulfide and high-modulus polyethylene produced in Germany. Physical and mechanical properties of the sliding layer materials were obtained experimentally. The frictional contact interaction of a sliding layer part with a rigid steel plate was considered with the friction coefficients obtained experimentally with and without lubrication on the mating surfaces. For the qualitative description of the numerical experiment, the experimental dependences of friction coefficients as a function of the pressure level were obtained, and approximating functions were constructed to obtain friction coefficients exceeding those technically possible in the field experiment. A series of numerical experiments on the deformation of a sliding layer part with a hole for lubricant with the use of a rigid steel plate and application of pressure from 5 to 90 MPa, which corresponds to the rated loads of the spherical support structures of the bridge spans. The deformed condition of the structure and contact zone parameters were analyzed. Influence of the sliding layer thickness on deformation characteristics of the contact node was studied. [ABSTRACT FROM AUTHOR]