Abstract
The main objective of this paper is a theoretical unification of most of the variationally consistent classical and shear deformable cylindrical shell theories available in the literature. This is achieved by introducing into the shell displacement approximation certain general functions of the transverse coordinate which account for the incorporation of the transverse shear deformation effects. Avoiding having to provide a single choice of the forms of these ‘shear deformation shape functions’ befor or during the variational formulation of the general theory, the present formulation leaves open possibilities for a multiple, a-posteriori specification of particular shear deformable shell theories. As a result, the classical Donnell-, Love- and Sanders-type shell theories as well as their well known uniform and parabolic shear deformable analogues are obtained as particular cases. Moreover, a generalized ‘zig-zag’ displacement model is presented which gives further multiple freedom in achieving continuous distributions of interlaminar stresses through the thickness of an unsymmetric cross-ply laminated cylindrical shell.
Published Version
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