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

    Fingerprint

    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.}",
    year = "2019",
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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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