A Finite Element-Based Elastic-Plastic Model for the Contact of Rough Surfaces
Three-dimensional elastic-plastic contact of two nominally flat rough surfaces is considered. Equations governing the shoulder-shoulder contact of asperities are derived based on the asperity constitutive relations from a finite element model of the elastic-plastic interaction proposed by Kogut and...
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Format: | Article |
Language: | English |
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Wiley
2011-01-01
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Series: | Modelling and Simulation in Engineering |
Online Access: | http://dx.doi.org/10.1155/2011/561828 |
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author | Ali Sepehri Kambiz Farhang |
author_facet | Ali Sepehri Kambiz Farhang |
author_sort | Ali Sepehri |
collection | DOAJ |
description | Three-dimensional elastic-plastic contact of two nominally flat rough surfaces is considered. Equations governing the shoulder-shoulder contact of asperities are derived based on the asperity constitutive relations from a finite element model of the elastic-plastic interaction proposed by Kogut and Etsion (2002), in which asperity scale constitutive relations are derived using piecewise approximate functions. An analytical fusion technique is developed to combine the piecewise asperity level constitutive relations. Shoulder-shoulder asperity contact yields a slanted contact force consisting of two components, one in the normal direction and a half-plane tangential component. Statistical summation of the asperity level contact force components and asperity level contact area results in the total contact force and total contact area formulae between two rough surfaces. Approximate equations are developed in closed form for contact force components and contact area. |
format | Article |
id | doaj-art-aa5df99874c3416db8ef9e9e1662d1c4 |
institution | Kabale University |
issn | 1687-5591 1687-5605 |
language | English |
publishDate | 2011-01-01 |
publisher | Wiley |
record_format | Article |
series | Modelling and Simulation in Engineering |
spelling | doaj-art-aa5df99874c3416db8ef9e9e1662d1c42025-02-03T06:11:21ZengWileyModelling and Simulation in Engineering1687-55911687-56052011-01-01201110.1155/2011/561828561828A Finite Element-Based Elastic-Plastic Model for the Contact of Rough SurfacesAli Sepehri0Kambiz Farhang1Department of Mechanical Engineering and Energy Processes, Southern Illinois University Carbondale, Carbondale, Il 62901, USADepartment of Mechanical Engineering and Energy Processes, Southern Illinois University Carbondale, Carbondale, Il 62901, USAThree-dimensional elastic-plastic contact of two nominally flat rough surfaces is considered. Equations governing the shoulder-shoulder contact of asperities are derived based on the asperity constitutive relations from a finite element model of the elastic-plastic interaction proposed by Kogut and Etsion (2002), in which asperity scale constitutive relations are derived using piecewise approximate functions. An analytical fusion technique is developed to combine the piecewise asperity level constitutive relations. Shoulder-shoulder asperity contact yields a slanted contact force consisting of two components, one in the normal direction and a half-plane tangential component. Statistical summation of the asperity level contact force components and asperity level contact area results in the total contact force and total contact area formulae between two rough surfaces. Approximate equations are developed in closed form for contact force components and contact area.http://dx.doi.org/10.1155/2011/561828 |
spellingShingle | Ali Sepehri Kambiz Farhang A Finite Element-Based Elastic-Plastic Model for the Contact of Rough Surfaces Modelling and Simulation in Engineering |
title | A Finite Element-Based Elastic-Plastic Model for the Contact of Rough Surfaces |
title_full | A Finite Element-Based Elastic-Plastic Model for the Contact of Rough Surfaces |
title_fullStr | A Finite Element-Based Elastic-Plastic Model for the Contact of Rough Surfaces |
title_full_unstemmed | A Finite Element-Based Elastic-Plastic Model for the Contact of Rough Surfaces |
title_short | A Finite Element-Based Elastic-Plastic Model for the Contact of Rough Surfaces |
title_sort | finite element based elastic plastic model for the contact of rough surfaces |
url | http://dx.doi.org/10.1155/2011/561828 |
work_keys_str_mv | AT alisepehri afiniteelementbasedelasticplasticmodelforthecontactofroughsurfaces AT kambizfarhang afiniteelementbasedelasticplasticmodelforthecontactofroughsurfaces AT alisepehri finiteelementbasedelasticplasticmodelforthecontactofroughsurfaces AT kambizfarhang finiteelementbasedelasticplasticmodelforthecontactofroughsurfaces |