Crack due to Wedge‐Shaped Punch with Friction
Publication: Journal of Engineering Mechanics
Volume 116, Issue 10
Abstract
A solution is found for a cracked half‐plane loaded by a wedge‐shaped rigid punch with friction. It is assumed that Coulomb's friction law is applied between the punch and the matrix and that the contact region is straight. Since the punch ends are sharp corners, stresses become singular and a crack begins from the punch end. An analytical solution is obtained by means of a rational mapping function and complex stress functions. Stress distributions, stress‐intensity factors, and resultant moments are shown for various angles of the wedge‐shaped punch. The conditions for crack initiation are also investigated for the various combinations of coefficient of friction, loading, and angle. When a flat‐ended punch is subjected to rotation, the stress‐intensity factor of the opening mode vanishes for a certain frictional coefficient If a coefficient of friction is larger than and the stress‐intensity factor is larger than the fracture‐toughness value, then a crack begins. When it is smaller than the initiation of the crack depends on load, angle, and coefficient of friction.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 116 • Issue 10 • October 1990
Pages: 2173 - 2185
Copyright
Copyright © 1990 ASCE.
History
Published online: Oct 1, 1990
Published in print: Oct 1990
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