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A mathematical model for the third-body concept
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SYSNO ASEP 0488091 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A mathematical model for the third-body concept Author(s) Krejčí, Pavel (MU-W) RID, SAI, ORCID
Petrov, A. (FR)Source Title Mathematics and Mechanics of Solids. - : Sage - ISSN 1081-2865
Roč. 23, č. 3 (2018), s. 420-432Number of pages 13 s. Language eng - English Country GB - United Kingdom Keywords third-body ; hysteresis operators ; variational inequality Subject RIV BA - General Mathematics OECD category Applied mathematics R&D Projects GA15-12227S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000429895300011 EID SCOPUS 85044127016 DOI 10.1177/1081286517732827 Annotation The third-body concept is a pragmatic tool used to understand the friction and wear of sliding materials. The wear particles play a crucial role in this approach and constitute the main part of the third-body. This paper aims to introduce a mathematical model for the motion of a third-body interface separating two surfaces in contact. This model is written in accordance with the formalism of hysteresis operators as solution operators of the underlying variational inequalities. The existence result for this dynamical problem is obtained by using a priori estimates established for Faedo–Galerkin approximations, and some more specific techniques such as anisotropic Sobolev embedding theory. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2019
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