A Dynamic Shell Theory Coupling Thickness Stress Wave Effects With Gross Structural Response

[+] Author and Article Information
S. E. Benzley, S. W. Key

Sandia Laboratories, Albuquerque, N. Mex.

J. R. Hutchinson

University of California, Davis, Calif.

J. Appl. Mech 40(3), 731-735 (Sep 01, 1973) (5 pages) doi:10.1115/1.3423081 History: Received April 01, 1972; Revised October 01, 1972; Online July 12, 2010


A theory for thick cylindrical shells is presented that couples the early time thickness stress wave propagation with higher-order shell theory equations. The formulation completely describes the continuum response in the thickness direction for “early time” considerations while representing the circumferential response with a high-order circumferential displacement assumption. Late time (structural response) equations are developed to continue the analysis after thickness effects are no longer important. The finite-element method is used to obtain solutions of the theory. Calculations are presented which show that thickness stress need not be included for cylindrical shells with h/R ratios less than 0.2.

Copyright © 1973 by ASME
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