ON THE COMBINED TORSION AND TENSION OF A PARTLY PLASTIC CIRCULAR CYLINDER

Abstract

Particular combinations of twist and extension of a solid circular cylinder are considered. The Reuss equations are used throughout and these are integrated, for different cases, to give the shear stress and tension in the plastic material. It is shown that the stresses rapidly approach their asymptotic values and are within 1 or 2 per cent, of these values when the plastic strains are still of the same order as the elastic strains. A more general case, in which the twist and extension are such as to make the ratio load to torque constant, is solved numerically. Finally the residual stresses are evaluated, after partial unloading, for a bar which has been twisted and extended in constant ratio.