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A geometric interpretation of frictional contact mechanics

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Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Abstract.

The work-conjugacy of pressures and tangential tractions with so-called “gap”and “stick” constraints is deduced in order to delineate a rigid-plastic model of a frictional interface. This is accomplished by pursuing a differential-geometric view of the two surfaces that comprise the frictional interface. Given that contact is described in the current configuration, Lie derivatives are shown to be the natural means of establishing the work-conjugacy between tractions and constraints.

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Authors and Affiliations

  1. Sandia National Laboratories, Livermore, CA, 94551-0969, USA

    Reese E. Jones

  2. Department of Mechanical Engineering, University of California, Berkeley, CA, 94720-1740, USA

    Panayiotis Papadopoulos

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  1. Reese E. Jones
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  2. Panayiotis Papadopoulos
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Jones, R.E., Papadopoulos, P. A geometric interpretation of frictional contact mechanics. Z. angew. Math. Phys. 57, 1025–1041 (2006). https://doi.org/10.1007/s00033-005-0052-3

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  • DOI: https://doi.org/10.1007/s00033-005-0052-3

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