The pressure to cause complete contact between elastic

Abstract

This work examines the average pressure required to cause complete contact between sinusoidal shaped surfaces deforming elastically and plastically. Complete contact is defined as when there are no gaps remaining between the surfaces. The material of the surface is modelled as being elastic—perfectly plastic. This work confirms the results of a recent finite-element ana-lysis using a new semi-analytical model. The results suggest that the pressure required to cause complete contact between surfaces can be much higher than the yield strength or hardness of the surface (in some cases 15 times the yield strength or more). This is because it appears that as the surfaces near complete contact, they begin to act again like an elastic contact. The critical amplitude of a sinusoidal surface below which it will deform entirely in the elastic regime from initial to complete contact is also derived.

Keywords

contact mechanics elastic plastic rough surfaces wavy surfaces

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References

Greenwood

J. A.

Williamson

J. B. P.

Contact of nominally flat surfaces. Proc. R. Soc. Lond. A, 1966, A1, 300–319.

Archard

J. F.

Elastic deformation and the laws of friction. Proc. R. Soc. Lond. A, 1957, 243, 190–205.

Chang

W. R.

Etsion

Bogy

D. B.

An elastic—plastic model for the contact of rough surfaces. ASME J. Tribol., 1987, 109(2), 257–263.

Jackson

R. L.

Kogut

A comparison of flattening and indentation approaches for contact mechanics modeling of single asperity contacts. ASME J. Tribol., 2005, 128(1), 209–212.

Gao

Y. F.

Bower

A. F.

Elastic-plastic contact of a rough surface with Weierstrass profile. Proc. R. Soc. A, 2006, 462, 319–348.

Ciavarella

Demelio

Barber

J. R.

Jang

Y. H.

Linear elastic contact of the Weierstrass profile. Proc. R. Soc. Lond. A, 2000, 456, 387–405.

Ciavarella

Murolo

Demelio

Barber

J. R.

Elastic contact stiffness and contact resistance for the Weierstrass profile. J. Mech. Phys. Solids, 2004, 52(6), 1247–1265.

Jackson

R. L.

Streator

J. L.

A multiscale model for contact between rough surfaces. Wear, 2006, 261(11–12), 1337–1347.

Gao

Y. F.

Bower

A. F.

Kim

K. S.

Lev

Cheng

Y. T.

The behavior of an elastic—perfectly plastic sinusoidal surface under contact loading. Wear, 2006, 261(2), 145–154.

10.

Krithivasan

Jackson

R. L.

An analysis of three-dimensional elasto-plastic sinusoidal contact. Tribol. Lett., 2007, 27(1), 31–43.

11.

Tabor

The hardness of materials, 1951 (Clarendon Press, Oxford).

12.

Williamson

J. B. P.

Hunt

R. T.

Asperity persistance and the real area of contact between rough surfaces. Prod. R. Soc. Lond. A, 1972, 327(1569), 147–157.

13.

Childs

T. H. C.

The persistence of roughness between surfaces in static contact. Proc. R. Sc. Lond. A, 1977, 353(1672), 35–53.

14.

Westergaard

H. M.

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

15.

Johnson

K. L.

Greenwood

J. A.

Higginson

J. G.

The contact of elastic regular wavy surfaces. Int. J. Mech. Sci., 1985, 27(6), 383–396.

16.

Jackson

R. L.

Green

A finite element study of elasto-plastic hemispherical contact. ASME J. Tribol., 2005, 127(2), 343–354.

17.

Tripp

J. H.

Van Kuilenburg

Morales-Espejel

G. E.

Lugt

P. M.

Frequency response functions and rough surface stress analysis. Tribol. Trans., 2003, 46(3), 376–382.

18.

Green

Poisson ratio effects and critical values in spherical and cylindrical hertzian contacts. Int. J. Appl. Mech. Eng., 2005, 10(3), 451–462.

19.

Jackson

R. L.

Chusoipin

Green

A finite element study of the residual stress and strain formation in spherical contacts. ASME J. Tribol., 2005, 127(3), 484–493.

20.

Etsion

Kligerman

Kadin

Unloading of an elastic—plastic loaded spherical contact. Int. J. Solids Struct., 2005, 42(13), 3716–3729.

21.

Jackson

R. L.

Marghitu

D. B.

Green

Predicting the coefficient of restitution of impacting elastic—perfectly plastic. In Proceedings of the 2006 STLE/ASME International Joint Tribology Conference, San Antonio.

The pressure to cause complete contact between elastic—plastic sinusoidal surfaces

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