Green's function for a closed, infinite, circular cylindrical elastic shell

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 " Greens junction (i.e., the Green function for a closed, infinite shell) is derived using air inner and outer expansion. The point wise error in this solution is shown rigorously to be of relative order (h/a)(l + root 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.