A geometric interpretation of frictional contact mechanics |
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| Authors: | Reese E Jones Panayiotis Papadopoulos |
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| Institution: | (1) Sandia National Laboratories, Livermore, CA 94551-0969, USA;(2) Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1740, USA |
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| 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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| Keywords: | Contact friction work-conjugacy Lagrange multipliers |
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