Necking and post-necking of a uniaxially stretched tensile test specimen with a rectangular
cross-section is investigated. The analysis is based on an enhanced 2-D plane stress finite …

The delay of the onset of localization and the post-necking behaviour for stretched thin
sheets are determined by three-dimensional effects. Thus, a 2-D finite element analysis …

A very small inhomogeneity in macroscopic material properties is considered for the
investigation of necking of a (polycrystalline) bar in the tensile test. A simple, one …

Applying two theories in plasticity (flow theory and a modified deformation theory), the
necking of a cylindrical bar in uniaxial tension is analysed. The development of finite strain …

Dimensional reduction is applied to derive a one-dimensional energy functional governing
tensile necking localization in a family of initially uniform prismatic solids, including as …

Tensile instabilities are studied for an elastic-plastic bar with rectangular cross-section,
using a full three-dimensional numerical analysis. Most analyses are based on the simplest …

A finite strain generalization of the strain gradient plasticity theory by Fleck and Hutchinson
(J. Mech. Phys. Solids 49 (2001a) 2245) is proposed and used to study size effects in plane …

This paper presents new results on dynamic neck evolution in steel bars of varying
diameters. Dynamic tensile tests were carried out in a Kolsky apparatus using cylindrical …

A rational approach to the localized necking problem was given by Storen and Rice [J.
Mech. Phys. Solids 23 (1975) 421] but this approach is limited to the description of …

This paper brings to light the effect of tension-compression asymmetry in flow stresses on
the formation of dynamic necking instabilities in isotropic metallic plates subjected to plane …