The plastica: The large elastic-plastic deflection of a strut |
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Authors: | TX Yu W Johnson |
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Institution: | University Engineering Department, Cambridge, U.K. |
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Abstract: | An extension of the theory of the Elastica is developed to determine the shape of a strut (or a cantilever) which undergoes large plastic deflection. The equations governing such a behaviour and known as the Plastica equations are set up and then solved by a perturbation method and by numerical integration. The post-buckling elastic-plastic deformation of a strut after initial elastic buckling is analysed, and some numerical results are given to show the variation of its load-carrying capacity with the development of the plastic region. |
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