The Elastic-Plastic Response of Thin Spherical Shells to Internal Blast Loading

[+] Author and Article Information
W. E. Baker

Terminal Ballistics Laboratory, Ballistic Research Laboratories, Aberdeen Proving Ground, Md.

J. Appl. Mech 27(1), 139-144 (Mar 01, 1960) (6 pages) doi:10.1115/1.3643888 History: Received February 04, 1959; Online September 16, 2011


In this paper, the theory is developed for the elastic-plastic response of a thin spherical shell to spherically symmetric internal transient pressure loading. Analytic solutions are obtained to the linear, small-deflection equations of motion for shell materials which exhibit various degrees of strain-hardening. Numerical solutions obtained by digital computer are also presented for the equations for large deflections obtained by accounting for shell thinning and increase in radius during deformation. The theory is compared with experiment, and is shown to be in good agreement.

Copyright © 1960 by ASME
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