A one-dimensional finite element program has been developed to study the effects of inertia
on necking instability in a round bar under tension. An elastic-viscoplastic constitutive law is …

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 …

In this investigation, we study experimentally the evolution of both the deformation and the
stress during the necking process of a thin metal sheet subject to uniaxial tension. The …

The influence of material inertia on neck development in a notched round bar is analyzed
numerically. Dynamic axisymmetric calculations are carried out for isotropically hardening …

The boundary value problem for the plane-strain uniaxial tension of a rectangular bar is
posed in two ways. In one case the ends of a specimen of compressible elastic-plastic …

The paper presents an analysis of necking, based on a “maximum unloading rate”
hypothesis. The theoretical profiles for tension specimens of a rigid-plastic nonhardening …

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 …

Necking is a bifurcation phenomenon observed in round bars under tensile loading and has
been investigated in numbers of papers. In the present work, it is modeled within the …

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 s part of a study of failure of plates at built-in supports, modes of plane strain failure under
increasing bending with constant tension are calculated for an elastic, power-law plastic …