Influence of the in-plan distribution of asperities on the normal contact of periodically rough surfaces

Abstract

The present work aims to analyze the influence of the in-plan distribution of asperities on the contact between periodically rough surfaces. Square pattern and hexagonal pattern rigid surfaces are considered. Their contact with an elastic half-space is analyzed by numerical simulations. Three surfaces are generated with identical asperities periodically distributed in a plan according to different patterns. It follows from numerical results that when the load and the real contact area are small, the asperities act almost independently. However, the interaction between close asperities increases with the load becomes intensified and has a significant effect on the contact area when the situation is close to full contact.

Keywords

Unilateral contact periodical surfaces in-plan asperity distribution computational method

Get full access to this article

View all access options for this article.

References

Hertz

. Über die Berührung fester elastischer Körper. J Fur Die Reine Angewandte Mathematik 1882; 92: 156–171.

Hertz

. Über die Berührung fester elastischer Körper and über die Harte, Leipzig: Verhandlungen des Vereins zur Beförderung des Gewerbefleisses, 1882.

Greenwood

Williamson

JBP

. Contact of nominally flat surfaces. Proc R Soc 1966; A295: 300–319.

Bush

Gibson

Thomas

. The elastic contact of a rough surface. Wear 1975; 35: 87–111.

Persson

BNJ

. Contact mechanics for randomly rough surfaces. Surf Sci Rep 2006; 61: 201–227.

Greenwood

. A simplified elliptic model of rough surface contact. Wear 2006; 261: 191–200.

Hyun

Robbins

. Elastic contact between rough surfaces: effect of roughness at large and small wavelengths. Tribol Int 2007; 40: 1413–1422.

Pei

Hyun

Molinari

. Finite element modeling of elasto-plastic contact between rough surfaces. J Mech Phys Solids 2005; 53: 2385–2409.

Cesbron

Yin

Anfosso-Lédée

. Numerical and experimental study of multicontact on an elastic half-space. Int J Mech Sci 2009; 51: 33–40.

10.

Akarapu

Sharp

Robbins

. Stiffness of contacts between rough surfaces. Phys Rev Lett 2011; 106: 204–301.

11.

Polonsky

Keer

. A numerical method for solving rough contact problems based on the multi-level multi-summation and conjugate gradient techniques. Wear 1999; 231: 206–219.

12.

Liu

Wang

Liu

. A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses. Wear 2000; 243: 101–111.

13.

Cesbron

Anfosso-Lédée

Yin

. Influence of road texture on tyre/road contact in static conditions. Road Mater Pav Des 2008; 9: 689–710.

14.

Dubois

Cesbron

Yin

. Numerical evaluation of tyre/road contact pressures using a multi-asperity approach. Int J Mech Sci 2012; 54: 84–94.

15.

Westergaard

. Bearing pressures and cracks. ASME J Appl Mech 1939; 6: 49–53.

16.

Johnson

Greenwood

Higginson

. The contact of elastic regular wavy surfaces. Int J Mech Sci 1985; 27: 383–396.

17.

Johnson

. Contact mechanics, Cambridge, Cambridge University Press, 1985.

18.

Yastrebov

Anciaux

Molinari

J-F

. The contact of elastic regular wavy surfaces revisited. Tribol Lett 2014; 56: 171–183.

19.

Greenwood

. On the almost-complete contact of elastic rough surfaces: the removal of tensile patches. Int J Solids Struct 2015; 56–57: 258–264.

20.

Rostami

Jackson

. Elastic contact between a geometrically anisotropic bisinusoidal surface and a rigid base. J Tribol 2015; 137: 021402–021402-8.

21.

Boussinesq

. Application des potentiels l’étude de l’équilibre et du mouvement des solides élastiques, Paris: Gauthier-Villars, 1885.

22.

Cerruti

. Ricerche intorno all’equilibrio dei elastici isotropi 1882; vol. 13, Roma: Accademia dei Lincei.

23.

Q-C

Telega

Curnier

. Unilateral contact of two solids subject to large deformations: formulation and existence results. Proc R Soc 1996; A452: 2691–2717.

24.

Love

AEH

. Stress produced in a semi-infinite solid by pressure on part of the boundary. Philos Trans R Soc 1996; A228: 37–43.

25.

Johnson

. The adhesion of two elastic bodies with slightly wavy surfaces. Int J Solids Struct 1995; 32: 423–430.