FROM WINKLER’S FOUNDATION TO POPOV’S FOUNDATION

In recent years, the method of dimensionality reduction (MDR) has started to figure as a very convenient tool for dealing with a wide class of elastic contact problems. The MDR modeling framework introduces an equivalent punch profile and a one-dimensional Winkler-type elastic foundation, called hen...

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Main Author: Ivan Argatov
Format: Article
Language:English
Published: University of Niš 2019-07-01
Series:Facta Universitatis. Series: Mechanical Engineering
Online Access:http://casopisi.junis.ni.ac.rs/index.php/FUMechEng/article/view/5058
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spelling doaj-9d5144bc529146d18cfbdc914eb182a32020-11-25T04:03:23ZengUniversity of NišFacta Universitatis. Series: Mechanical Engineering0354-20252335-01642019-07-0117218119010.22190/FUME190330024A2388FROM WINKLER’S FOUNDATION TO POPOV’S FOUNDATIONIvan Argatov0Aberystwyth UniversityIn recent years, the method of dimensionality reduction (MDR) has started to figure as a very convenient tool for dealing with a wide class of elastic contact problems. The MDR modeling framework introduces an equivalent punch profile and a one-dimensional Winkler-type elastic foundation, called henceforth Popov’s foundation. While the former mainly accounts for the geometry of contact configuration, the Popov foundation inherits the main characteristics of both the contact interface (like friction and adhesion) and the contacting elastic bodies (e.g., anisotropy, viscoelasticity or inhomogeneity). The discussion is illustrated with an example of the Kendall-type adhesive contact for an isotropic elastic half-space.http://casopisi.junis.ni.ac.rs/index.php/FUMechEng/article/view/5058
collection DOAJ
language English
format Article
sources DOAJ
author Ivan Argatov
spellingShingle Ivan Argatov
FROM WINKLER’S FOUNDATION TO POPOV’S FOUNDATION
Facta Universitatis. Series: Mechanical Engineering
author_facet Ivan Argatov
author_sort Ivan Argatov
title FROM WINKLER’S FOUNDATION TO POPOV’S FOUNDATION
title_short FROM WINKLER’S FOUNDATION TO POPOV’S FOUNDATION
title_full FROM WINKLER’S FOUNDATION TO POPOV’S FOUNDATION
title_fullStr FROM WINKLER’S FOUNDATION TO POPOV’S FOUNDATION
title_full_unstemmed FROM WINKLER’S FOUNDATION TO POPOV’S FOUNDATION
title_sort from winkler’s foundation to popov’s foundation
publisher University of Niš
series Facta Universitatis. Series: Mechanical Engineering
issn 0354-2025
2335-0164
publishDate 2019-07-01
description In recent years, the method of dimensionality reduction (MDR) has started to figure as a very convenient tool for dealing with a wide class of elastic contact problems. The MDR modeling framework introduces an equivalent punch profile and a one-dimensional Winkler-type elastic foundation, called henceforth Popov’s foundation. While the former mainly accounts for the geometry of contact configuration, the Popov foundation inherits the main characteristics of both the contact interface (like friction and adhesion) and the contacting elastic bodies (e.g., anisotropy, viscoelasticity or inhomogeneity). The discussion is illustrated with an example of the Kendall-type adhesive contact for an isotropic elastic half-space.
url http://casopisi.junis.ni.ac.rs/index.php/FUMechEng/article/view/5058
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