Abstract
A second order asymptotic solution to the Donnell type non-linear equations of elastic homogeneous conical shells is presented. Closed form solutions for the displacements and stress resultants including twelve constants of integration are obtained by considering the lateral displacement to be of the order of kt where k is a geometric parameter and t is the shell thickness. Terms of order up to t/ r in comparison to unity are omitted. The solutions are valid for asymmetric slowly varying edge or surface loads.
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