Stress Distribution on the Boundary of a Circular Hole in a Large Plate During Passage of a Stress Pulse of Long Duration

[+] Author and Article Information
A. J. Durelli

Illinois Institute of Technology, Chicago, Ill.

W. F. Riley

Armour Research Foundation of Illinois Institute of Technology, Chicago, Ill.

J. Appl. Mech 28(2), 245-251 (Jun 01, 1961) (7 pages) doi:10.1115/1.3641662 History: Received June 17, 1960; Online September 16, 2011


A partial solution to the problem of the stress distribution on the boundary of a circular hole in a large plate during passage of a stress pulse of relatively long duration is presented. The solution was obtained experimentally by using a low-modulus model material in a combined photoelasticity and grid analysis. The long-duration stress pulse was applied by loading a small region on an edge of the plate with a falling weight. The hole was placed at a location in the plate where both dilatational and distortional waves would be felt. It was also located in such a way that a symmetric point was available for making free-field stress determinations. The results of the investigation indicate that a variable biaxial state of stress was produced in the free field. The study also indicates that the maximum compressive stress on the hole boundary can be computed with a fair degree of accuracy by applying the Kirsch solution for a hole in an infinite plate and considering the free-field biaxial stress conditions. The maximum tensile stresses on the hole boundary were always found to be smaller than the values predicted by the Kirsch formula.

Copyright © 1961 by ASME
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