Summary
Four specific problems of large plastic deformation in shell structures are analysed and discussed. They are:- inversion of a spherical shell; formation of “flaps” in long-running ductile fracture of a high-pressure pipeline; inversion of a tube; and propagating collapse of a confined tube under external pressure. All of these examples involve travelling plastic hinges; and indeed such hinges seem to be a recurrent feature of large plastic deformations of shells. Two different kinds of travelling hinge are encountered, and analysed in simple ways. The first is a sort of rolling crease, while the second is almost purely extensional in character.
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Calladine, C.R. (1986). Analysis of Large Plastic Deformations in Shell Structures. In: Bevilacqua, L., Feijóo, R., Valid, R. (eds) Inelastic Behaviour of Plates and Shells. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82776-1_4
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DOI: https://doi.org/10.1007/978-3-642-82776-1_4
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