Finite Deflections of a Rigid-Viscoplastic Strain-Hardening Annular Plate Loaded Impulsively

[+] Author and Article Information
Norman Jones

Division of Engineering, Brown University, Providence, R. I.

J. Appl. Mech 35(2), 349-356 (Jun 01, 1968) (8 pages) doi:10.1115/1.3601202 History: Received November 24, 1967; Revised February 20, 1968; Online September 14, 2011


A relatively simple analytical treatment of the behavior of a rigid-plastic annular plate subjected to an initial linear impulsive velocity profile is presented. The influence of finite deflections has been included in addition to strain-hardening and strain-rate sensitivity of the plate material. It is shown, for deflections up to the order of twice the plate thickness, that strain-hardening is unimportant, strain-rate sensitivity has somewhat more effect, while membrane forces play a dominant role in reducing the permanent deflections.

Copyright © 1968 by ASME
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