Discussion: A paradox in sliding contact problems with friction (Adams, G. G., Barber, J. R., Ciavarella, M., Rice, J. R., 2005, ASME J. Appl. Mech., 72, pp. 450-452)

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作者
Hills, D.A. [1 ]
Sackfield, A. [1 ]
Churchman, C.M. [1 ]
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[1] Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, United Kingdom
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In this interesting paper; the authors address an anomaly which arises when a rigid; square-ended block is pressed against a linear elastic half plane and slid along. The authors note that; within the framework of linear elasticity; the singularity in the contact pressure; and hence shearing traction; produces; adjacent to the edges; regimes in which the implied local relative slip direction dominates the rigid-body sliding velocity; and hence produces a violation of the Coulomb friction law. They seek to resolve the paradox by appealing to a more sophisticated strain definition. All of this is within the context of a quasistatic formulation. The authors recognize; of course; that in any real problem the paradox is unlikely to arise because of (a) the finite strength of the contact giving rise to a yield zone; and (b) the absence of an atomically sharp corner at the contact edge where there is; in all probability; a finite edge radius. Here; we wish to address these issues quantitatively; and so demonstrate that it is unlikely that the paradox described; though interesting; will have any bearing in a real Copyright © 2006 by ASME;
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Conference article (CA)
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页码:884 / 886
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