Journal ArticleDOI
The elastic contact of a rough surface
TLDR
In this paper, the elastic contact of an isotropically rough surface with a plane is treated by approximating the summits of a random process model by paraboloids with the same principal curvatures and applying the classical Hertzian solution for their deformation.About:
This article is published in Wear.The article was published on 1975-11-01. It has received 710 citations till now. The article focuses on the topics: Contact area & Elastic modulus.read more
Citations
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Journal ArticleDOI
On the nature of surface roughness with application to contact mechanics, sealing, rubber friction and adhesion.
Bo N. J. Persson,O. Albohr,U. Tartaglino,U. Tartaglino,A. I. Volokitin,Erio Tosatti,Erio Tosatti,Erio Tosatti +7 more
TL;DR: This work presents surface roughness power spectra of many surfaces of practical importance, obtained from the surface height profile measured using optical methods and the atomic force microscope, and shows how the power spectrum determines the contact area between two solids.
Journal ArticleDOI
Models and computational methods for dynamic friction phenomena
J. T. Oden,J.A.C. Martins +1 more
TL;DR: In this paper, a large body of experimental and theoretical literature on friction is critically reviewed and interpreted as a basis for models of dynamic friction phenomena, and a continuum model of interfaces is developed which simulate key interface properties identified in Part I.
Journal ArticleDOI
Friction laws at the nanoscale
TL;DR: It is demonstrated that the breakdown of continuum mechanics can be understood as a result of the rough (multi-asperity) nature of the contact, and that roughness theories of friction can be applied at the nanoscale.
Models and Computational Methods for Dynamic Friction Phenomena. 1. Physical Aspects of Dynamic Friction. 2. Continuum Models and Variational Principles for Dynamic Friction. 3. Finite Element Models and Numerical Analysis
J. T. Oden,J. A. Martins +1 more
TL;DR: In this article, a large body of experimental and theoretical literature on friction is critically reviewed and interpreted as a basis for models of dynamic friction phenomena, and a continuum model of interfaces is developed which simulate key interface properties identified in Part I.
Journal ArticleDOI
An Asperity Microcontact Model Incorporating the Transition From Elastic Deformation to Fully Plastic Flow
TL;DR: In this article, an elastic-plastic asperity microcontact model for contact between two nominally flat surfaces is presented, where the transition from elastic deformation to fully plastic flow of the contacting as perity is modeled based on contact-mechanics theories in conjunction with the continuity and smoothness of variables across different modes of deformation.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book ChapterDOI
Functions of a Complex Variable
TL;DR: In this paper, a theory of complex-valued functions of a complexvalued argument is presented, which contains some remarkably powerful results which are applicable to a variety of problems, such as the Fourier series expansion.