LAW OF FRICTION: FROM TRIBOLOGY TO TRIBO-FATIGUE. REPORT 2. THEORETICAL STUDIES

SOSNOVSKIY Leonid A., D. Sc. in Eng., Prof., Director, S&P GROUP TRIBOFATIGUE Ltd., Gomel, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

To date, many laws of Nature have been discovered. The knowledge of each of them led to the accelerated development of the relevant sections of science and further, as a rule, to progress in any practical area of the community of people. The empirical law of dry friction [1, 2], first formulated by Leonardo da Vinci 500 years ago, went down in history of technology as one of the most applicable laws in engineering calculations [3]. Moreover, our worldview is unthinkable without an understanding of the general processes of movement with friction (as  well as movement without friction). All this gives grounds to say: “Friction is an amazing phenomenon of nature” (D. Garkunov). Two hundred years later (after da Vinci) Amonton M., Coulomb C.A., and Euler L. [4–7] made a decisive contribution to the substantiation and understanding of the law of dry friction, and it became classical: the force of sliding friction is proportional to the contact load. Studies show that the classical friction law for the tribo-fatigue system is inaccurate and, therefore, inapplicable. It was established experimentally that the error in estimating the coefficient of friction in a tribo-fatigue system (for example, a “wheel — rail” type, etc.) reaches 60...70 % or more, if we use the classical law of friction for its analysis. Therefore, there is a problem of adjusting the classical law of friction. A set of theoretical and experimental studies was carried out, the results of which make it possible to formulate a generalized law of friction: the friction force is proportional to both contact and non-contact volume loads, if the latter excites a cyclic stress (strain) field in the friction zone. This law describes all the experimental results (more than 100 values of the friction coefficient) with an error of no more than ±6 %. The  widespread use of the proposed generalized law of friction in the engineering is considered as a very urgent task. In  conclusion of the article, some directions for further research (theoretical and experimental) are formulated. The  article is published in three reports.

In  conclusion of the article, some directions for further research (theoretical and experimental) are formulated. The  article is published in three reports.

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