Waves From Suddenly Punched Hole in Plate Subjected to Uniaxial Tension Field

[+] Author and Article Information
J. B. Haddow, A. Mioduchowski

Department of Mechanical Engineering, The University of Alberta, Edmonton, Alberta T6G 2G8, Canada

J. Appl. Mech 46(4), 873-877 (Dec 01, 1979) (5 pages) doi:10.1115/1.3424670 History: Received February 01, 1979; Revised June 01, 1979; Online July 12, 2010


The plane-stress unloading waves emanating from a suddenly punched circular hole in a thin plate subjected to a uniform uniaxial tension field are considered. It is assumed that the plate is linearly elastic and that the plugging of the hole takes place over a finite time with the stress components at the circumference of the hole decreasing, linearly with time, to zero. A modification of the method of near characteristics, introduced by Sauer [1], for problems of gas dynamics with two or three spatial variables is used to obtain a numerical solution to the governing equations, which have three independent variables, time and two plane polar coordinates. The numerical results obtained approach those for the well-known statical solution, for a hole in a plate subjected to a tension field [2], as the time after the arrival of the wave front becomes large.

Copyright © 1979 by ASME
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