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TECHNICAL PAPERS

Analysis of a Rocking and Walking Punch—Part I: Initial Transient and Steady State

[+] Author and Article Information
A. Mugadu, A. Sackfield, D. A. Hills

Department of Engineering Science, Oxford University, Parks Road, Oxford, OX1 3PJ, UK

J. Appl. Mech 71(2), 225-233 (May 05, 2004) (9 pages) doi:10.1115/1.1641061 History: Received November 18, 2002; Revised July 17, 2003; Online May 05, 2004
Copyright © 2004 by ASME
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References

Figures

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Schematics showing (a) the geometry of the problem; a rigid square-ended punch pressed against an incompressible half-plane by a constant normal load, P, and subject to a constant shear force, Q and (b) the oscillatory nature of the position of the normal load about the center of the punch
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Schematic of the stick/slip regimes
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Plot showing the relationship between the applied shearing force, Q/fP, and the stick/slip location, b/a for the rocking forward, rocking back, and steady-state solutions as functions of the load offset, s/a
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Plot showing the normalized corrective shearing traction distribution, aq(x)/fP, in the stick zone when Q/fP=0.7 as a function of the load offset, s/a, for the rocking forward, rocking back, and steady-state solutions
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Plot showing the total and incremental slip displacement gradient, πμag(x)/fP, along the contact width for various values of s/a when Q/fP=0.7 for the rocking forward and rocking back solutions
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Plot showing the total gradient of slip displacement, πμag(x)/fP, along the contact width as a function of the load offset, s/a, under steady-state conditions for the nth and n+1th steps
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Plot showing the slip displacement, πμg(x)/fP, for various values of s/a when Q/fP=0.7 for the rocking forward and rocking back solutions
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Plot showing the incremental slip displacement, πμg(x)/fP, along the contact width as a function of the load offset, s/a, when Q/fP=0.7, in the nth, n+1th, and n+2th steps
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Plot showing the steady-state step length, πμg(0)/fP, as a function of the normalized shearing force, Q/fP, and the load offset, s/a

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