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Nonsymmetric buckle patterns in progressive plastic buckling

Experiments conducted by the authors were concerned not only with the method in which a buckle generates and develops in a thick-walled shell, but also with the influence of geometric and mechanical parameters on this process

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Abstract

This paper presents the results of a series of experiments on the progressive plastic buckling of cylindrical shells under axial compressive load. It shows that, for shell bodies with anR/t less than 100, the normal axisymmetric ring buckling will develop into nonsymmetric patterns. We demonstrate that there exists also a class of shells within this thickness-radius range for which nonsymmetric plastic buckling always occurs without the prior formation of a ring. It appears from the limited number of tests made that, for a particularR, R/t, material and rate of loading, there is a critical value ofL, above which there is a high probability of the buckle pattern developing in a nonsymmetric fashion. It seems probable, too, that there are bands ofR/t for a particularL/R, R, material and rate of loading for which the buckle number will be constant. The experiments tend to indicate that the postbuckling efficiency of the shell decreases with increasing buckle number.

The nonsymmetric patterns demonstrated appear to be inextensional deformations. They are very similar in character to the Yoshimura pattern which occurs as the limiting case for thin shells in axial compression and, under impact loading. Load-displacement histories are presented for some of the various modes of failure demonstrated.

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Horton, W.H., Bailey, S.C. & Edwards, A.M. Nonsymmetric buckle patterns in progressive plastic buckling. Experimental Mechanics 6, 433–444 (1966). https://doi.org/10.1007/BF02326556

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