Abstract
This paper presents an extensive treatment of the existence of solutions to mechanical systems undergoing steady sliding on a frictional contact surface when acted on by external forces. Our treatment is based on the theory of discrete linear elasticity, Coulomb's friction law and Signorini's contact conditions; the theory of cone-linear complementarity problem (LCP) is the main tool employed in the analysis. For large friction coefficients examples of nonexistence can be given. However, for small' friction coefficients, we obtain, via several reformulations, some mechanically meaningful conditions under which the existence issue can be satisfactorily resolved.
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