Plastic flow, necking and failure in metals, alloys and ceramics

Investigations of deformation localization were performed using various metals, alloys and ceramics. It is found that at the linear plastic hardening stage, mobile equidistant zones of localized deformation propagate at a constant rate along the deforming specimen. At the stage of parabolic work hardening with parabola exponent of ∼1/2, there emerges a stationary localization zone pattern. When the parabola exponent is less than 1/2, the flow nuclei will travel towards the place of impending failure, the farther away from this point, the greater the nucleiʹs motion rate.