Load-separation curves for the contact of self-affine rough surfaces

Abstract There are two main approximate theories in the contact of rough solids: Greenwood-Williamson asperity theories (GW) and Persson theories. Neither of them has been fully assessed so far with respect to load-separation curves. Focusing on the most important case of low fractal dimension (D f...

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Autores principales: Antonio Papangelo, Norbert Hoffmann, Michele Ciavarella
Formato: article
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Publicado: Nature Portfolio 2017
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Acceso en línea:https://doaj.org/article/48e3a91f64a1484ba287109e1913421c
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spelling oai:doaj.org-article:48e3a91f64a1484ba287109e1913421c2021-12-02T16:06:12ZLoad-separation curves for the contact of self-affine rough surfaces10.1038/s41598-017-07234-42045-2322https://doaj.org/article/48e3a91f64a1484ba287109e1913421c2017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-07234-4https://doaj.org/toc/2045-2322Abstract There are two main approximate theories in the contact of rough solids: Greenwood-Williamson asperity theories (GW) and Persson theories. Neither of them has been fully assessed so far with respect to load-separation curves. Focusing on the most important case of low fractal dimension (D f  = 2.2) with extensive numerical studies we find that: (i) Persson’s theory describes well the regime of intermediate pressures/contact area, but requires significant corrective factors: the latter depend also on upper wavevector cutoff of the roughness; hence, (ii) Persson’s theory does not predict the correct functional dependence on magnification; (iii) asperity theories in the discrete version even neglecting interaction effects are more appropriate in the range of relatively large separations, also to take into consideration of the large scatter in actual realization of the surface.Antonio PapangeloNorbert HoffmannMichele CiavarellaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-7 (2017)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Antonio Papangelo
Norbert Hoffmann
Michele Ciavarella
Load-separation curves for the contact of self-affine rough surfaces
description Abstract There are two main approximate theories in the contact of rough solids: Greenwood-Williamson asperity theories (GW) and Persson theories. Neither of them has been fully assessed so far with respect to load-separation curves. Focusing on the most important case of low fractal dimension (D f  = 2.2) with extensive numerical studies we find that: (i) Persson’s theory describes well the regime of intermediate pressures/contact area, but requires significant corrective factors: the latter depend also on upper wavevector cutoff of the roughness; hence, (ii) Persson’s theory does not predict the correct functional dependence on magnification; (iii) asperity theories in the discrete version even neglecting interaction effects are more appropriate in the range of relatively large separations, also to take into consideration of the large scatter in actual realization of the surface.
format article
author Antonio Papangelo
Norbert Hoffmann
Michele Ciavarella
author_facet Antonio Papangelo
Norbert Hoffmann
Michele Ciavarella
author_sort Antonio Papangelo
title Load-separation curves for the contact of self-affine rough surfaces
title_short Load-separation curves for the contact of self-affine rough surfaces
title_full Load-separation curves for the contact of self-affine rough surfaces
title_fullStr Load-separation curves for the contact of self-affine rough surfaces
title_full_unstemmed Load-separation curves for the contact of self-affine rough surfaces
title_sort load-separation curves for the contact of self-affine rough surfaces
publisher Nature Portfolio
publishDate 2017
url https://doaj.org/article/48e3a91f64a1484ba287109e1913421c
work_keys_str_mv AT antoniopapangelo loadseparationcurvesforthecontactofselfaffineroughsurfaces
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AT micheleciavarella loadseparationcurvesforthecontactofselfaffineroughsurfaces
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