Volume 43, No 2, 2021, Pages 283-297

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Analysis of the Energy Balance of Friction on the
Rolling Contact


S.V. Fedorov

DOI: 10.24874/ti.1042.01.21.03

Received: 13 January 2021
Revised: 22 February 2021
Accepted: 25 March 2021
Published: 15 June 2021


The state of elastic rolling of the wheel is considered as a special manifestation of the highly developed evolution of the plastic contact of rolling friction. It is shown that for the material point of contact of smooth rolling surfaces, their initial elasticity forms a pair of elastic roughnesses Ė the sliding friction model. The Carterís diagram is analyzed and its interpretation is given as an analog of the metal tension curve. This diagram is transformed to a structural-energy diagram of the sliding friction coefficient (evolution) of the rubbing surfaces. The conclusion is made about the mutual generality of the Carterís equation and the equation of the energy balance of friction. The evolution of the structure of the rolling contact to the ideal nano-state, adequate to the state of the ideal solid, is justified. The possibility of the existence of an almost ideal thermodynamic cycle at the rolling contact and the maximum efficiency of the energy transformation is shown. In this state, we make up one mechanical (nano) quantum of the self-organized dynamic dissipative structure of the elementary friction contact with minimal contact shift (creep). This actually determines the real performance characteristics of the heavy-loaded Hertz contact of real engineering systems.


Rolling, Tribosystem, Deformation, Evolution, Diagram, Energy, Balance, Dissipation.

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Volume 43
Number 2
June 2021

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