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International Journal of Solids and Structures
Article
License: Elsevier Non-Commercial
Data sources: UnpayWall
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International Journal of Solids and Structures
Article . 2015 . Peer-reviewed
License: Elsevier Non-Commercial
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2021
License: CC BY NC ND
Data sources: Datacite
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Contact mechanics of fractal surfaces by spline assisted discretisation

Authors: Hanaor, Dorian; Gan, Yixiang; Einav, Itai;

Contact mechanics of fractal surfaces by spline assisted discretisation

Abstract

We present a newly developed approach for the calculation of interfacial stiffness and contact area evolution between two rough bodies exhibiting self affine surface structures. Using spline assisted discretization to define localised contact normals and surface curvatures we interpret the mechanics of simulated non-adhesive elastic surface-profiles subjected to normal loading by examining discrete contact points as projected Hertzian spheres. The analysis of rough-to-rough contact mechanics for surface profiles exhibiting fractal structures, with fractal dimensions in the regime 1 2, reveals the significant effect of surface fractality on contact mechanics and compliance with surfaces having the same mean roughness but higher fractality showing lower contact stiffness in conditions of initial contact for a given load. The predicted linear development of true contact area with load was found to be consistent with diverse existing numerical and experimental studies. Results from this model demonstrate the applicability of the developed method for the meaningful contact analysis of hierarchical structures with implications for modelling tribological interactions between pairs of rough surfaces

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Keywords

Condensed Matter - Other Condensed Matter, Soft Condensed Matter (cond-mat.soft), Classical Physics (physics.class-ph), FOS: Physical sciences, Physics - Classical Physics, Condensed Matter - Soft Condensed Matter, Other Condensed Matter (cond-mat.other)

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    88
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
88
Top 10%
Top 10%
Top 10%
Green
hybrid