Numerical Analysis for the Elastic Contact of Real Rough Surfaces
- 1 January 1999
- journal article
- research article
- Published by Taylor & Francis in Tribology Transactions
- Vol. 42 (3) , 443-452
- https://doi.org/10.1080/10402009908982240
Abstract
The elastic contact of rough surfaces and the subsurface stresses caused by the contact have been analyzed by means of a numerical model based on fast Fourier transforms (FFT) and minimization of complementary energy. The elastic contact has been modeled mathematically as a linear complementarity problem and solved by a robust algorithm, Conjugate Gradient Method, while the force-displacement relation is determined through a FFT approach. After solving for the pressure distribution, the subsurface stress field is obtained by calculating the stresses due to the application of a point force, and then integrating over the contact region. In comparison with the matrix based method published in recent years, the numerical approach presented in this study is more efficient, more stable and requires less memory. It has great potential in application to problems with general contact geometry and three-dimensional surface roughness. The results show that high frequency roughness could lead to very sharp impulses and significant oscillations in pressure distribution. The amplitude and location of the maximum shear stress in the subsurface region are constantly changing when the contacting rough surfaces are in relative motion.Keywords
This publication has 19 references indexed in Scilit:
- A full numerical solution for the elastic contact of three-dimensional real rough surfacesWear, 1992
- Fractal Model of Elastic-Plastic Contact Between Rough SurfacesJournal of Tribology, 1991
- A Numerical Model for the Elastic Frictionless Contact of Real Rough SurfacesJournal of Tribology, 1986
- Contact MechanicsPublished by Cambridge University Press (CUP) ,1985
- The contact of elastic regular wavy surfacesInternational Journal of Mechanical Sciences, 1985
- Computer Simulation of Elastic Rough ContactsA S L E Transactions, 1985
- The elastic contact of a rough surfaceWear, 1975
- The contact of surfaces having a random structureJournal of Physics D: Applied Physics, 1973
- Contact of nominally flat surfacesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1966
- Bearing Pressures and Cracks: Bearing Pressures Through a Slightly Waved Surface or Through a Nearly Flat Part of a Cylinder, and Related Problems of CracksJournal of Applied Mechanics, 1939