FINITE ELASTIC-PLASTIC DEFORMATIONS OF AN IDEAL FIBER-REINFORCED BEAMBENT AROUND A CYLINDER

This paper is concerned with finite plane deformations of a straight b eam composed of an elastic-plastic fibre-reinforced material. The rein forcing fibres are all aligned along the beam and the composite materi al is assumed to be inextensible in the fibre direction and is incompr essible. The beam is bent around a smooth cylinder under the action of a uniform live load applied to its upper surface, and is subsequently unloaded. When sufficiently large forces are applied and then removed , regions of reverse plastic yield are found to occur near the upper a nd lower edge fibres. Non-trivial residual displacement and stress fie lds are determined when the beam is completely unloaded.