A GEOMETRIC INTERPRETATION OF FRICTIONAL CONTACT MECHANICS
R.E. Jones and P. Papadopoulos Zeit. Angew. Math. Phys., 57, pp. 1025-1041, (2006)

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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