An analytical model to study the effect of asperity geometry on forces in ploughing by an elliptical asperity

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Abstract

An analytical ploughing model is used to compute the forces on a rigid, elliptical, i.e. ellipsoid and elliptic-paraboloid shaped, asperity sliding through a rigid-plastic substrate as a function of its axes size, ellipticity ratio and sliding orientation. The normal force due to the plastic deformation of the substrate and the tangential force due to the shearing of the asperity-substrate interface are calculated from the surface normal vector and the tangent vector along the direction of plastic flow. The elemental forces are integrated over the boundaries of the asperity-substrate contact to obtain the individual force components. In this way, an analytical model to study the effect of asperity geometry on ploughing forces has been developed and compared with the available theories.

Original languageEnglish
Pages (from-to)405-419
Number of pages15
JournalTribology international
Volume137
Early online date16 May 2019
DOIs
Publication statusPublished - 1 Sep 2019

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plowing
Analytical models
Geometry
Substrates
geometry
sliding
Plastic flow
Shearing
Plastic deformation
plastic flow
ellipticity
Plastics
ellipsoids
shearing
tangents
plastic deformation
plastics

Keywords

  • Asperity geometry
  • Elliptical asperity
  • Friction modelling
  • Ploughing

Cite this

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title = "An analytical model to study the effect of asperity geometry on forces in ploughing by an elliptical asperity",
abstract = "An analytical ploughing model is used to compute the forces on a rigid, elliptical, i.e. ellipsoid and elliptic-paraboloid shaped, asperity sliding through a rigid-plastic substrate as a function of its axes size, ellipticity ratio and sliding orientation. The normal force due to the plastic deformation of the substrate and the tangential force due to the shearing of the asperity-substrate interface are calculated from the surface normal vector and the tangent vector along the direction of plastic flow. The elemental forces are integrated over the boundaries of the asperity-substrate contact to obtain the individual force components. In this way, an analytical model to study the effect of asperity geometry on ploughing forces has been developed and compared with the available theories.",
keywords = "Asperity geometry, Elliptical asperity, Friction modelling, Ploughing",
author = "Tanmaya Mishra and {de Rooij}, Matthijn and Meghshyam Shisode and Javad Hazrati and Schipper, {Dirk J.}",
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T1 - An analytical model to study the effect of asperity geometry on forces in ploughing by an elliptical asperity

AU - Mishra, Tanmaya

AU - de Rooij, Matthijn

AU - Shisode, Meghshyam

AU - Hazrati, Javad

AU - Schipper, Dirk J.

PY - 2019/9/1

Y1 - 2019/9/1

N2 - An analytical ploughing model is used to compute the forces on a rigid, elliptical, i.e. ellipsoid and elliptic-paraboloid shaped, asperity sliding through a rigid-plastic substrate as a function of its axes size, ellipticity ratio and sliding orientation. The normal force due to the plastic deformation of the substrate and the tangential force due to the shearing of the asperity-substrate interface are calculated from the surface normal vector and the tangent vector along the direction of plastic flow. The elemental forces are integrated over the boundaries of the asperity-substrate contact to obtain the individual force components. In this way, an analytical model to study the effect of asperity geometry on ploughing forces has been developed and compared with the available theories.

AB - An analytical ploughing model is used to compute the forces on a rigid, elliptical, i.e. ellipsoid and elliptic-paraboloid shaped, asperity sliding through a rigid-plastic substrate as a function of its axes size, ellipticity ratio and sliding orientation. The normal force due to the plastic deformation of the substrate and the tangential force due to the shearing of the asperity-substrate interface are calculated from the surface normal vector and the tangent vector along the direction of plastic flow. The elemental forces are integrated over the boundaries of the asperity-substrate contact to obtain the individual force components. In this way, an analytical model to study the effect of asperity geometry on ploughing forces has been developed and compared with the available theories.

KW - Asperity geometry

KW - Elliptical asperity

KW - Friction modelling

KW - Ploughing

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JF - Tribology international

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