Abstract: Various types of wear mechanisms (three-body wear, delamination, pitting, abrasion, etc.) can occur between the polymer-metal interface of total knee arthroplasties. In most cases, the mechanism of these types of wear has only been experimentally verified or approximately described. It must be noted that analytical description is not yet available for the majority of wear types. An exception to these mechanisms is abrasive wear, for which a number of analytical studies have been developed. This type of wear can be approximated mathematically by the so-called Archard equation. It should be noted that, due to the complex motion of the knee joint, the original Archard equation must be extended by several parameters in order to adequately describe the wear process. Such parameters are the cross shear ratio, the coefficient of friction or the sliding rolling ratio. The present study gives a broad overview of the analytical wear models, currently available from the relevant literature, and also provides further suggestions on how to bring these models closer to reality.

Keywords: Analytical models, wear, cross-shear ratio, slide-roll ratio, coefficient of friction.

Acknowledgements: The author would like to thank the Department of Materials Science and Technology, AUDI Hungaria Faculty of Automotive Engineering, Széchenyi István University and the Bolyai János Research Grant (BO/00047/21/6) of the Hungarian Academy of Sciences.

Biography: Dr. Gusztáv Fekete is currently a Principal Research Fellow at the Széchenyi István University and a Guest Professor at the Ningbo University. He has a worked at several universities such the Hungarian University of Agriculture and Life Sciences (2007-2010), Ghent University (2010-2013), University of West-Hungary (2014-2017), Eötvös Loránd University (2017-2024) and the Slovak Academy of Sciences (2024). He has formed a Research Group in Applied Biomechanics in 2024, where at present he supervises the work of six PhD students. So far nine students obtained PhD under his supervision. He is the regional vice-president of the Hungarian Mechanical Engineering Scientific Association. Dr. Fekete has published 200 peer-reviewed journal and conference papers (Scopus Citations 2162, h-index 27). He is an Editorial Board member in the Physical Activity and Health journal and in the Muscles, Ligaments and Tendons Journal (M.L.T.J). Dr. Fekete has received several honors and awards including “Promising Researcher of the Eötvös Loránd University” (2022), “Dr. Csaba Gyenge Memorial Prize in recognition of outstanding research” (2022), “János Bolyai Scholarship” (2021). In 2023, he was listed among the Top 2% Researchers Based on Stanford University Database.