The development of our knowledge of the buckling of thin-walled circular cylindrical shells subjected to axial compression is outlined from the beginning of the century until the present, with particular emphasis on advances made in the last twenty-five years. It is shown that practical shells generally buckle under stresses much smaller than the classical critical value derived by Lorenz, Timoshenko, South well and Flogged. A first explanation of the reasons for the discrepancy was given by Donnell and the problem was explored in detail by von (Carman, Twine and their collaborators. More recently, Yoehimura discovered the existence of an inextenaional displacement pattern which the wall of the shell can suddenly assume, and Kilter found an explanation of the sensitivity of the buckling stress to small initial deviations from the exact circular cylindrical shape.
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