Analysis of tension of elastoplastic samples and neck formation with edge effects

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