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 , where is the constant thickness of the shell, is the radius of the mid surface, and is distance along a generator of the mid surface.
Issue Section:
Technical Papers
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.Copyright © 2006
by American Society of Mechanical Engineers
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