A Numerical Three-Dimensional Model for the Contact of Rough Surfaces by Variational Principle-Reference-Cited by-同舟云学术

A Numerical Three-Dimensional Model for the Contact of Rough Surfaces by Variational Principle

Published:1996-01-01 Issue:1 Volume:118 Page:33-42
ISSN:0742-4787
Container-title:Journal of Tribology
language:en
Short-container-title:

Author:

Tian Xuefeng¹,Bhushan Bharat¹

Affiliation:

1. Computer Microtribology and Contamination Laboratory, Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210-1107

Abstract

Abstract A new numerical method for the analysis of elastic and elastic-plastic contacts of two rough surfaces has been developed. The method is based on a variational principle in which the real area of contact and contact pressure distribution are those which minimize the total complementary potential energy. The present variational approach guarantees the uniqueness of the solution of the contact problem and significantly reduces the computation time as compared with the conventional matrix inversion method, and thus, makes it feasible to solve 3-D contact problem with large number of contact points. The model is extended to elastic-perfectly plastic contacts. The model is used to predict contact statistics for computer generated surfaces.

Publisher

ASME International

Subject

Surfaces, Coatings and Films,Surfaces and Interfaces,Mechanical Engineering,Mechanics of Materials

Link

https://asmedigitalcollection.asme.org/tribology/article-pdf/118/1/33/6837232/33_1.pdf

Reference32 articles.

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3. Bhushan B. , and CookN. H., 1975, “On the Correlation between Friction Coefficients and Adhesion Stresses,” ASME Journal of Engineering Materials and Technology, Vol. 97, pp. 285–287.

4. Bhushan B. , and MajumdarA., 1992, “Elastic-Plastic Contact Model of Bifractal Surfaces,” Wear, Vol. 153, pp. 53–64.

5. Bush A. W. , GibsonR. D., and ThomasT. R., 1975, “The Elastic Contact of a Rough Surface,” Wear, Vol. 35, pp. 87–111.

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