Journal of Applied Mathematics
Volume 2013 (2013), Article ID 459280, 7 pages
http://dx.doi.org/10.1155/2013/459280
Research Article

Approximation of the Integrals of the Gaussian Distribution of Asperity Heights in the Greenwood-Tripp Contact Model of Two Rough Surfaces Revisited

Radosław Jedynak1 and Jacek Gilewicz2

1Kazimierz Pulaski University of Technology and Humanities, UL. Malczewskiego 20a, 26-600 Radom, Poland
2Centre de Physique Théorique, CNRS, Luminy Case 907, Aix-Marseille Université, UMR 6207, Université Sud Toulon-Var, 13288 Marseille Cedex 09, France

Received 6 February 2013; Revised 6 May 2013; Accepted 7 May 2013

Academic Editor: Renat Zhdanov

Copyright © 2013 Radosław Jedynak and Jacek Gilewicz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Some examples of application of Padé approximant techniques to approximate the integrals in question and comparison with previous results, essentially the recent Panayi-Schock and Green-wood results, show the efficiency of this simple natural approximation.