The two conditions for stable necking, treated as a bifurcation of stress path, are derived.
The anisotropic material considered is one for which the plastic work increment= σ¯ de¯ …

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 …

T he B ifurcation problem governing the onset of axisymmetric necking in a circular
cylindrical specimen in uniaxial tension is analysed. The specimen is made of an …

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 …

N ecking in a rectangular parallelepiped of incompressible elastic/plastic material under
uniaxia tension is studied as a bifurcation problem. Approximate upper-bound bifurcation …

THE PROBLEM of necking in an axisymmetric tension specimen made of a strain-hardening
material is investigated by means of a numerical procedure. The developed condition of …

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 …

T he problem of necking in metal specimens under uniaxial tension is investigated by means
of the mathematical theory of bifurcation and uniqueness due to R. Hill, with particular …

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 …

NECKING INSTABILITIES IN ELASTIC-PLASTIC PLATES Page 1 lnt. J. Engng Sri., 1972. Vol.
10, pp. 145-154. Pergamon Press. Printed in Great Britain NECKING INSTABILITIES IN …