Analysis of Stretching of Elastoplastic Samples and Necking with Edge Effects

Abstract

Large deformations of elastoplastic cylindrical rods and shells of different thicknesses under tension are studied. The effect of sample geometry and the dependence of stresses on deformations under uniaxial tension on edge effects and necking are estimated. The applicability of the Considere criterion for determining the instance of stability loss of plastic tensile strain is analyzed. The computational experiments confirm that the role of similarity in the processes of nonuniform tensile strain of samples can be played by the ratio of the tangent of the slope of the true strain diagram to the stress intensity.