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 …

The boundary-value problem for a circular cylindrical bar in uniaxial tension is posed in two
ways. In one the ends of the specimen are assumed to be cemented to rigid grips; while in …

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

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 …

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 …

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 …

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 …

Linear stability analysis has been widely used in order to describe the evolution of the
dominant necking pattern in different configurations. Effects of hardening, strain rate and …

T he necking of an elastic-plastic circular plate under uniform radial tensile loading is
investigated both within the framework of the three-dimensional theory and within the …