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This paper presents the results of simulating an isothermal frictional contact between a polymeric block and a steel ring. The model takes into account the elasto-plastic behavior of the polymeric materials and the friction coefficient of the two triboelements in dry regime as determined from tests done on a block-on-ring system. The results given by the model are compared to some characteristics of the actual test ring (geometry of the wear track). The mechanical characteristic of the polymer material were modeled in accordance to the results obtained from the traction tests.