Non-axisymmetric necking

Abstract

Experimental observations have revealed certain non-axisymmetric deformations at the initial stage of necking. This phenomenon is studied in this paper by using an energy stability criterion. It is shown that before the onset of axisymmetric necking, a non-axisymmetric and piecewise homogeneous deformation may have a lower energy than the axisymmetric deformations.