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 mechanics of necking inception in dynamically-stretched notched specimens have been
investigated. For that task, a systematic experimental campaign of quasi-static and dynamic …

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 …

Recent experimental work has revealed that notched tensile specimens, subjected to
dynamic loading, may fail by growing a neck outside of the notched region. This apparent …

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 …

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 …

Neck localization during high rate extension of round bars is analyzed numerically. An
axisymmetric problem formulation is given and the material is described as rate independent …

The paper numerically analyses the necking of a cylindrical, elastic-plastic, strain-hardening
bar in axisymmetric tension. Both geometric and material nonlinearities are taken into …

An analytical nonsteady solution for plane strain necking of V-notched, rigid/perfectly-plastic
tensile bars was obtained by EH Lee in 1952. In his solution the plastic zone remains …

This work is concerned with the modeling of the necking phenomenon in metallic tension
members using a non-linear theory of elasto-plastic rods with deformable cross section. The …