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Mathematical Problems in Engineering
Volume 2015, Article ID 514267, 10 pages
Research Article

An Analytical Insight into the Buckling Paradox for Circular Cylindrical Shells under Axial and Lateral Loading

1Department of Mechanical, Aerospace and Civil Engineering, Brunel University, Uxbridge UB8 3PH, UK
2Department of Structural Engineering, University of Naples “Federico II”, Via Claudio 21, 80125 Naples, Italy

Received 23 December 2014; Accepted 28 May 2015

Academic Editor: Xin-Lin Gao

Copyright © 2015 Rabee Shamass et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A large number of authors in the past have concluded that the flow theory of plasticity tends to overestimate significantly the buckling load for many problems of plates and shells in the plastic range, while the deformation theory generally provides much more accurate predictions and is consequently used in practical applications. Following previous numerical studies by the same authors focused on axially compressed cylinders, the present work presents an analytical investigation which comprises the broader and different case of nonproportional loading. The analytical results are discussed and compared with experimental and numerical findings and the reason for the apparent discrepancy on the basis of the so-called “buckling paradox” appears once again to lay in the overconstrained kinematics on the basis of the analytical and numerical approaches present in the literature.