Dynamic plastic shear failure analysis for an infinitely large plate with a centred cylinder under impulsive loading

The transverse shear failure of a circular plate with an infinitely large outside radius, made from a rigid, perfectly plastic material, is considered. The plate has a rigid central cylindrical boss which is subjected to an initial impulsive velocity which causes a circular transverse shear hinge to develop at the interface between the boss and the plate. Two models are adopted in this paper. Rotatory inertia are disregarded in the first, the second retains the influence of rotatory inertia as well as bending moments. It is illustrated that whether a shear failure occurs or not at the interface, where the initial velocity has discontinuity, depends on the nondimensional initial kinetic energy, the material property and two ratios, one is the thickness of the plate to the radius of the boss, and the second is the density ratio of the boss to the plate. It is shown by the comparison between the two models that the influence of the rotatory inertia of the plate on the shear failure are not negligible.