Internal Stress Arising From a Spherically Symmetric, Finite Plastic Strain and Yielding of a Hollow Sphere

[+] Author and Article Information
T. Sakaki, K. Sugimoto

Department of Mechanical Engineering, Tokyo Metropolitan University, Fukazawa 2-1-1, Setagayu-ku, Tokyo 158, Japan

T. Kuroki

Tokyo Metropolitan University, Fukazawa 2-1-1, Setagayu-ku, Tokyo 158, Japan

J. Appl. Mech 57(2), 268-275 (Jun 01, 1990) (8 pages) doi:10.1115/1.2891984 History: Received March 18, 1988; Revised April 10, 1989; Online March 31, 2008


Internal stress arising from a spherically symmetric, finite plastic strain is obtained on the basis of the Eshelby’s theory on inclusions with stress-free strain. Using the internal stress, yielding of a thick-walled hollow sphere is discussed. From the present analysis, distribution of plastic strain in a yield zone and stress distribution are easily obtained, even if a hollow sphere has any type of flow curve. The present analysis is also applicable to forward and reverse loading.

Copyright © 1990 by The American Society of Mechanical Engineers
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