AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Home Friction Article
PDF (1.7 MB)
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Analysis of the discrete contact characteristics based on the Greenwood‒Williamson model and the localization principle

Anastasiya A. YAKOVENKO( )Irina G. GORYACHEVA
Ishlinsky Institute for Problems in Mechanics RAS, Moscow 119526, Russia
Show Author Information

Graphical Abstract

Abstract

The contact of a rigid body with nominally flat rough surface and an elastic half-space is considered. To solve the contact problem, the Greenwood‒Williamson statistical model and the localization principle are used. The developed contact model allows us to investigate the surface approach and the real contact area with taking into account the asperities interaction. It is shown that the mutual influence of asperities changes not only contact characteristics at the macroscale, but also the contact pressure distribution at the microscale. As follows from the results, the inclusion in the contact model of the effect of the mutual influence of asperities is especially significant for studying the real contact area, as well as the contact characteristics at high applied loads. The results calculated according to the proposed approach are in a good agreement with the experimentally observed effects, i.e., the real contact area saturation and the additional compliance exhaustion.

References

[1]
Goryacheva I G. Mechanics of discrete contact. Tribol Int 39(5): 381386 (2006)
[2]
Goryacheva I G, Yakovenko A A. Indentation of a rigid cylinder with a rough flat base into a thin viscoelastic layer. J Appl Mech Tech Phys 62(5): 723735 (2021)
[3]
Majumdar A, Tien C L. Fractal characterization and simulation of rough surfaces. Wear 136(2): 313327 (1990)
[4]
Majumdar A, Bhushan B. Fractal model of elastic-plastic contact between rough surfaces. J Tribol 113(1): 111 (1991)
[5]
Greenwood J A, Williamson J B P. Contact of nominally flat surfaces. Proc R Soc A Math Phys Eng Sci 295(1442): 300319 (1966)
[6]
Hertz H. Über die Berührung fester elastischer Körper. J für die Reine und Angew Math 1882(92): 156171 (1882)
[7]
Bush A W, Gibson R D, Thomas T R. The elastic contact of a rough surface. Wear 35(1): 87111 (1975)
[8]
Yu N, Polycarpou A A. Contact of rough surfaces with asymmetric distribution of asperity heights. J Tribol 124(2): 367376 (2002)
[9]
Greenwood J A. A note on Nayak’s third paper. Wear 262(1–2): 225227 (2007)
[10]
Chang W R, Etsion I, Bogy D B. An elastic-plastic model for the contact of rough surfaces. J Tribol 109(2): 257263 (1987)
[11]
Guo X, Ma B, Zhu Y. A magnification-based multi-asperity (MBMA) model of rough contact without adhesion. J Mech Phys Solids 133: 103724 (2019)
[12]
Pasaribu H R, Schipper D J. Application of a deterministic contact model to analyze the contact of a rough surface against a flat layered surface. J Tribol 127(2): 451455 (2005)
[13]
Ciavarella M, Greenwood J A, Paggi M. Inclusion of “interaction” in the Greenwood and Williamson contact theory. Wear 265(5–6): 729734 (2008)
[14]
Zhao Y, Chang L. A model of asperity interactions in elastic-plastic contact of rough surfaces. J Tribol 123(4): 857864 (2001)
[15]
Iida K, Ono K. Design consideration of contact/near-contact sliders based on a rough surface contact model. J Tribol 125(3): 562570 (2003)
[16]
Ciavarella M, Delfine V, Demelio G. A “re-vitalized” Greenwood and Williamson model of elastic contact between fractal surfaces. J Mech Phys Solids 54(12): 25692591 (2006)
[17]
Chandrasekar S, Eriten M, Polycarpou A A. An improved model of asperity interaction in normal contact of rough surfaces. J Appl Mech 80(1): 011025 (2013)
[18]
Zhao B, Zhang S, Qiu Z. Analytical asperity interaction model and numerical model of multi-asperity contact for power hardening materials. Tribol Int 92: 5766 (2015)
[19]
Wen Y, Tang J, Zhou W, Li L, Zhu C. New analytical model of elastic-plastic contact for three-dimensional rough surfaces considering interaction of asperities. Friction 10(2): 217231 (2022)
[20]
Waddad Y, Magnier V, Dufrénoy P, De Saxcé G. A multiscale method for frictionless contact mechanics of rough surfaces. Tribol Int 96: 109121 (2016)
[21]
Vakis A I. Asperity interaction and substrate deformation in statistical summation models of contact between rough surfaces. J Appl Mech 81(4): 041012 (2014)
[22]
Yastrebov V A, Durand J, Proudhon H, Cailletaud G. Rough surface contact analysis by means of the Finite Element Method and of a new reduced model. Comptes Rendus Mécanique 339(7–8): 473490 (2011)
[23]
Chen W W, Liu S, Wang Q J. Fast Fourier transform based numerical methods for elasto-plastic contacts of nominally flat surfaces. J Appl Mech 75(1): 011022 (2008)
[24]
Megalingam A, Mayuram M M. Comparative contact analysis study of finite element method based deterministic, simplified multi-asperity and modified statistical contact models. J Tribol 134(1): 014503 (2012)
[25]
Megalingam A, Ramji K S H. A comparison on deterministic, statistical and statistical with asperity interaction rough surface contact models. J Bio Tribo Corros 7(3): 95 (2021)
[26]
Goryacheva I G. The periodic contact problem for an elastic half-space. J Appl Math Mech 62(6): 959966 (1998)
[27]
Johnson K L, Greenwood J A, Higginson J G. The contact of elastic regular wavy surfaces. Int J Mech Sci 27(6): 383396 (1985)
[28]
Xu Y, Jackson R L, Marghitu D B. Statistical model of nearly complete elastic rough surface contact. Int J Solids Struct 51(5): 10751088 (2014)
[29]
Chu N R, Jackson R L, Wang X Z, Gangopadhyay A, Ghaednia H. Evaluating elastic-plastic wavy and spherical asperity-based statistical and multi-scale rough surface contact models with deterministic results. Materials 14(14): 3864 (2021)
[30]
Wang G F, Long J M, Feng X Q. A self-consistent model for the elastic contact of rough surfaces. Acta Mech 226(2): 285293 (2015)
[31]
Goryacheva I G, Tsukanov I Y. Development of discrete contact mechanics with applications to study the frictional interaction of deformable bodies. Mech Solids 55(8): 14411462 (2020)
[32]
Yakovenko A, Goryacheva I. The discrete contact problem for a two-level system of indenters. Continuum Mech Thermodyn 35(4): 13871401 (2023)
[33]
Yakovenko A, Goryacheva I. The periodic contact problem for spherical indenters and viscoelastic half-space. Tribol Int 161: 107078 (2021)
[34]
Goryacheva I G, Yakovenko A A. Periodic contact problem for a two-level system of punches and a viscoelastic half-space. In: Solid Mechanics, Theory of Elasticity and Creep. Altenbach H, Mkhitaryan S M, Hakobyan V, Sahakyan A V, Eds. Cham: Springer, 2023: 115131.
[35]
Li C Y, Wang G F. A modified Greenwood–Williamson contact model with asperity interactions. Acta Mech 234(7): 28592868 (2023)
[36]
Manners W, Greenwood J A. Some observations on Persson’s diffusion theory of elastic contact. Wear 261(5–6): 600610 (2006)
[37]
Lai W T, Cheng H S. Computer simulation of elastic rough contacts. ASLE Trans 28(2): 172180 (1985)
[38]
Putignano C, Afferrante L, Carbone G, Demelio G. A new efficient numerical method for contact mechanics of rough surfaces. Int J Solids Struct 49(2): 338343 (2012)
[39]
McCool J I. Predicting microfracture in ceramics via a microcontact model. J Tribol 108(3): 380385 (1986)
[40]
McCool J I. Relating profile instrument measurements to the functional performance of rough surfaces. J Tribol 109(2): 264270 (1987)
[41]
Nayak P R. Random process model of rough surfaces. J Lubr Technol 93(3): 398407 (1971)
[42]
Bartenev G M, Lavrentev V V. Friction and Wear of Polymers. Amsterdam: Elsevier, 1981.
[43]
Pullen J, Williamson J B P. On the plastic contact of rough surfaces. Proc Math Phys Eng Sci 327(1569): 159173 (1972).
Friction
Pages 1042-1056
Cite this article:
YAKOVENKO AA, GORYACHEVA IG. Analysis of the discrete contact characteristics based on the Greenwood‒Williamson model and the localization principle. Friction, 2024, 12(5): 1042-1056. https://doi.org/10.1007/s40544-023-0849-0

424

Views

15

Downloads

3

Crossref

2

Web of Science

2

Scopus

0

CSCD

Altmetrics

Received: 06 June 2023
Revised: 04 November 2023
Accepted: 25 November 2023
Published: 02 February 2024
© The author(s) 2023.

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.

The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Return