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The hypercircle theorem for elastic shells and the accuracy of Novozhilov's simplified equations for general cylindrical shells
The analog of the well-known Prager-Synge hypercircle
theorem for three-dimensional, linearly elastic bodies is derived
for the linear Sanders-Koiter theory of elastically anisotropic
shells under surface and edge loads and then used to compute the
accuracy of Novozhilov's simplified equations for an elastically
isotropic general cylindrical shell. The key idea is to note that
the Novozhilov equations are equivalent to the Sanders-Koiter
equations with certain surface loads and distributed dislocations.