A Modified Approach in Modeling and Calculation of Contact Characteristics of Rough Surfaces

J.A. Abdo

Abstract


A mathematical formulation for the contact of rough surfaces is presented. The derivation of the contact model is facilitated through the definition of plastic asperities that are assumed to be embedded at a critical depth within the actual surface asperities. The surface asperities are assumed to deform elastically whereas the plastic asperities experience only plastic deformation. The deformation of plastic asperities is made to obey the law of conservation of volume. It is believed that the proposed model is advantageous since (a) it provides a more accurate account of elasticplastic behavior of surfaces in contact and (b) it is applicable to model formulations that involve asperity shoulder-to shoulder contact. Comparison of numerical results for estimating true contact area and contact force using the proposed model and the earlier methods suggest that the proposed approach provides a more realistic prediction of elastic-plastic contact behavior.

 


Keywords


Elastic-plastic, Contact, Friction, Rough surfaces, Contact model

Full Text:

PDF

References


Abbott, E. J. and Firestone, F.A., 1933, "Specifying Surface Quantity-Method Based on Accurate Measurement and Comparison," Mech. Engr. Vol. 55, pp. 569-577.

Bush, A. W., Gibson, R. D. and Thomas, T. R., 1975, "The Elastic Contact of a Rough Surface," Wear, Vol. 35, pp. 87-111.

Chang, W.R., 1997, "An Elastic-Plastic Contact Model for a Rough Surface with an Ion-Plated Soft Metallic Coating," Wear, Vol. 212, pp. 229-237.

Chang, W.R., Etsion, I. and Bogy, D.B., 1986, "An Elastic- Plastic Model for the Contact of Rough Surfaces," J. of Tribology , Vol. 109, pp. 257-263.

Francis, H. A., 1977, "Application of Spherical Indentation Mechanics to Reversible and Irreversible Contact between Rough Surfaces," Wear, Vol. 45, pp. 221-269.

Francis, H. A., 1976, "Phenomenological Analysis of Plastic Spherical Indentation," ASME J. of Engineering Materials and Technology , Vol. 98, pp. 272-281.

Greenwood, J. A. and Williamson, J. B. P., 1966, "Contact of Nominally Flat Surfaces," Proc. Roy. Soc. (London) Vol. A295, pp. 300-319.

Greenwood, J. A. and Tripp, J. H., 1967, "The Elastic Contact of Rough Sphere," ASME J. of App l, Vol. 34, pp. 153-159.

Greenwood, J. A. and Tripp, J. H., 1970, "The Contact of Two Rough Nominally Flat Rough Surfaces," Proc. Instn. Mech. Engrs. Vol. 185, pp. 625-633.

Hisakado, T., 1974, "Effect of Surface Roughness on Contact Between Solid Surfaces," Wear, Vol. 28, pp. 217-234.

Horng, J. H., 1998, "An Elliptic Elastic-Plastic Aspirity Microcontact Model for Rough Surfaces," ASME J. of Tribology , Vol. 120, pp. 82-88.

Ishigaki, H., Kawaguchi, I. and Mizuta, S., 1979, "A Simple Estimation of the Elastic-Plastic Deformation of Contacting Asperities," Wear, Vol. 54, pp. 157-164.

Kogu, L. and Etsion, I., 2002, "Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat," ASME J. of Appl. Mech , Vol. 69, pp. 657-662.

Kogu, L. and Etsion, I., 2003, "A Finite Element Based Elastic - Plastic Model for the Contact of Rough Surfaces," Trib. Trans, pp. 383-390.

Kucharski, S., Klimczak, T., Polijaniuk, A. and Kaczmarek, J., 1994, "Finite-Element Model for the Contact of Rough Surfaces," Wear, Vol. 177, pp. 1- 13.

Liu, Z., Neville, A. and Reuben, R. L., 2000, "An Analytical Solution for Elastic and Elastic-Plastic Contact Models," ASME J. of Tribology , Vol. 43, pp. 627-633.

Liu, G., Zhu, J.L., Yu, L. and Wang, Q.J., 2001, "Elastic- Plastic Contact of Rough Surfaces,” ASME J. of Tribology , Vol. 44, pp. 437-443.

McCool, J. I., 1986, "Predicting Microfracture in Ceramics Via a Microcontact Model," ASME J. of Tribology , Vol. 108, pp. 380-386.

Nayak, P. R., 1973, "Random Process Model of Rough Surfaces in Plastic Contact," Wear, Vol. 26, 305 333.

Nayak, P. R., 1971, "Random Process Model of Rough Surfaces," ASME J. of Lubrication Technology , Vol. 93, pp. 398-407.

Nuri, K. A. and Halling, J., 1975, "The Normal Approach between Rough Flat Surfaces in Contact," Wear, Vol. 32, pp. 81-93

Pullen J. and Williamson, J.B.P., 1972, "On the Plastic Contact of Rough Surfaces," Proc. Roy. Soc (London), Vol. A327, pp. 159-173.

Tabor, D.J., 1977, “Collide Interface Science,” Proc. Roy. Soc (London), Vol. 58(2), pp. 2-10.




DOI: http://dx.doi.org/10.24200/tjer.vol2iss1pp43-52

Refbacks

  • There are currently no refbacks.




Copyright (c) 2017 J.A. Abdo

Creative Commons License
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.

TJER 2017-CC BY-ND

This journal and its content is licensed under a Attribution-NoDerivatives 4.0 International.

Flag Counter