Affiliation:
1. Fellow ASME
2. Department of Civil Engineering, University of Virginia, Charlottesville, VA 22904
Abstract
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 (h∕a)(1+h∕a∣x∣), 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.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
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