Green’s Function for a Closed, Infinite, Circular Cylindrical Elastic Shell

[+] Author and Article Information
J. G. Simmonds

Department of Civil Engineering, University of Virginia, Charlottesville, VA 22904jgs@virginia.edu

J. Appl. Mech 73(2), 183-188 (Jan 28, 2005) (6 pages) doi:10.1115/1.2065627 History: Received November 11, 2004; Revised January 28, 2005

An acceptable variant of the Koiter–Morley equations for an elastically isotropic circular cylindrical shell is replaced by a constant coefficient fourth-order partial differential equation for a complex-valued displacement-stress function. An approximate formal solution for the associated “free-space” Green’s function (i.e., the Green’s function for a closed, infinite shell) is derived using an inner and outer expansion. The point wise error in this solution is shown rigorously to be of relative order (ha)(1+hax), where h is the constant thickness of the shell, a is the radius of the mid surface, and ax is distance along a generator of the mid surface.

Copyright © 2006 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Diagram for converting the infinite series in Eq. 22 to a finite sum of contour integrals



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