Lower Bounds to the Collapse Load of a Thick Circular Cylinder Subjected to Internal Pressure and Shear

[+] Author and Article Information
N. Inoue, H. Nakagawa, T. Nakayama

Department of Mechanical Engineering, College of Engineering, Science University of Tokyo, 1-3 Kagurazaka, Shinjuku-ku, Tokyo, Japan

M. Shimono

Department of Mechanical Engineering, Division of Science and Technology, Science University of Tokyo

T. Tanaka

Tokyo Doki Co., Ltd., 1-9-3 Botan, Koto-ku, Tokyo, Japan

J. Appl. Mech 44(4), 766-768 (Dec 01, 1977) (3 pages) doi:10.1115/1.3424171 History: Received January 01, 1977; Online July 12, 2010


A new method for obtaining statically admissible states of stress in plane strain in the mathematical theory of plasticity is presented. After deriving a general solution, the proposed procedure is exemplified by a known solution of a thick circular cylinder subjected to internal pressure. The method is applied to a thick circular cylinder subjected to internal pressure and shear, and a lower-bound solution is given.

Copyright © 1977 by ASME
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