Research Papers: Friction and Wear

Assessment of the Tribological Contact Between Sliding Surfaces Via an Entropy Approach

[+] Author and Article Information
Vera Deeva

School of Earth Sciences and Engineering,
Tomsk Polytechnic University,
Lenina pr. 30,
Tomsk 634050, Russia
e-mail: veradee@mail.ru

Stepan Slobodyan

Transport, Oil and Gas Faculty,
Omsk State Technical University,
Mira pr. 11
Omsk, 644050, Russia;
Material Engineering
and Metal Technology Department,
Tver State Technical University,
Komsomolsky pr. 5,
Tver, 170026, Russia
e-mail: sms_46@ngs.ru

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received May 25, 2018; final manuscript received September 29, 2018; published online November 1, 2018. Assoc. Editor: Sinan Muftu.

J. Tribol 141(3), 031602 (Nov 01, 2018) (6 pages) Paper No: TRIB-18-1205; doi: 10.1115/1.4041644 History: Received May 25, 2018; Revised September 29, 2018

The interaction observed between two surfaces in contact with one another is part of a number of physical processes, such as wear. In this paper, we present a numerical study of the asperities between two surfaces in contact with each other. The real contact area between two surfaces varies due to the multiple roughness scales caused by the stochastic nature of asperities. In our research, we employ a tribological system comprising two partitions: C1 is the contact set (CS), where the two surfaces are in direct contact with each other, and C2 is the noncontact set, where the two surfaces are not in contact with each other. Here, we have developed a new numerical model to describe the CS using ε-entropy to prove the existence of a minimum value for entropy in sliding contact scenarios. In this system, the lower and upper bounds of entropy are determined through the Kolmogorov approach using the aforementioned model. Using this model, we conclude that the ε-entropy value is bound between ln 2 and 2·ln 2 for a tribological system comprising two partitions. Additionally, we conclude that a correlation between the stochastic tribological contact behavior and the rate of entropy change is the key parameter in thermal nonequilibrium scenarios.

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Grahic Jump Location
Fig. 1

Illustration of the tribological process changes in steps (а) before the contact interaction, (b) start of the sliding interaction and the wear particles appearance, and (c) the flow of the process in the presence of wear particle

Grahic Jump Location
Fig. 2

Schematic of the probabilistic sets of the tribological surface contact. С1 is the set of states where the two surfaces are in contact and С2 is the set of states where the two surfaces are not in contact.

Grahic Jump Location
Fig. 4

Consistent patterns in the behavior of the probability of correct identification of tribocontact state D (Hξ − H0ξ) in the space of equiprobable entropy thermodynamic states Hξ according to expressions (8) at changes in threshold values H0ξ that correspond to the values of identification error probability F = 5 × 10−1; F = 5 × 10−2; F = 5 × 10−3; and F = 5 × 10−4

Grahic Jump Location
Fig. 3

Structural model of the possible states between the boundary lines of ε-entropy: {11} is the state of contact, {12} is the transition state from contact to noncontact, {21} is the transition state from noncontact to contact, {22} is the state of noncontact



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