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RESEARCH PAPERS

The Propagation of a Crack by a Rigid Wedge in an Infinite Power Law Viscoelastic Body

[+] Author and Article Information
J. R. Walton

Department of Mathematics, Texas A&M University, College Station, Texas 77843

A. Nachman

Department of Mathematics, Old Dominion University, Norfolk, Va. 23508

J. Appl. Mech 46(3), 605-610 (Sep 01, 1979) (6 pages) doi:10.1115/1.3424614 History: Received August 01, 1978; Revised February 01, 1979; Online July 12, 2010

Abstract

Closed-form solutions are obtained for the problem of a crack propagated by a 2-dimensional rigid wedge of finite thickness in an infinite power law viscoelastic body. The distance from the crack tip to the point of contact with the wedge is determined from the assumption that in the vicinity of the crack tip, forces of cohesion act to produce a smoothly closing crack with continuous stresses. Finally, a simple formula expressing the stress-intensity factor as a function of the speed of penetration and the length of the free crack surface is exhibited.

Copyright © 1979 by ASME
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