Author(s)

C. Casapulla, P. Jossa & A. Maione

Abstract

Some problems in modelling a rigid-plastic cantilever beam subjected to impact loading C. Casapulla, P. Jossa & A. Maione Department of "Costruzioni e Metodi matematici in Architettura ", University of Naples "Federico II", Italy Abstract A rigid-plastic model is used in this paper to analyse the behaviour of a cantilever beam subjected to impact loading. It is well known that deformation localisations in such a model are represented by plastic hinges during its transient response. These plastic hinges, including bending and shearing hinges, are basically discontinuity interfaces of the generalised displacements. By assuming a convex yield function of bending and shear, continuity conditions at a moving or stationary plastic hinge are herein examined, with particular reference to the presence of shear deformations at the hinge. Then, some interesting works of existing literature about this theme are discussed and a more general kinematic mechanism for the beam under study is proposed. The nume

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