A rigid, square-ended punch resting on a incompressible half-plane, and subjected to a constant shearing force, together with a normal force, constant in magntiude, but moving backwards and forwards over the face, is studied. The shearing force is insufficient to cause sliding, but the presence of a slip region which migrates in from each contact edge as the punch rocks back and forth may permit a steady rigid-body motion to occur. The conditions for this are found, both for the early transient problem, starting from complete adhesion, and in the steady state.
Analysis of a Rocking and Walking Punch—Part I: Initial Transient and Steady State
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, November 18, 2002; final revision, July 17, 2003. Associate Editor: J. A. Barber. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Journal of Applied Mechanics, Department of Mechanical and Environmental Engineering, University of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Mugadu, A., Sackfield , A., and Hills , D. A. (May 5, 2004). "Analysis of a Rocking and Walking Punch—Part I: Initial Transient and Steady State ." ASME. J. Appl. Mech. March 2004; 71(2): 225–233. https://doi.org/10.1115/1.1641061
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