On Asymptotic Expansions for Circular Cylindrical Shells

[+] Author and Article Information
Eric Reissner

Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Mass.

J. Appl. Mech 31(2), 245-252 (Jun 01, 1964) (8 pages) doi:10.1115/1.3629593 History: Received May 21, 1963; Online September 15, 2011


The paper presents an asymptotic expansion procedure (with reference to decreasing values of wall-thickness shell-radius ratio) for the solutions of the linear theory of the three simultaneous equations for displacements in isotropic circular cylindrical shells. The resultant expansions are applied to a number of fundamental boundary-value problems for a semi-infinite shell. The analysis shows the importance of the joint consideration of differential equations and boundary conditions for a clarification of the asymptotic nature of the solution to be determined.

Copyright © 1964 by ASME
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