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 …

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 …

IN PRESENTING a survey of the present state of theories of instability and necking
phenomena in inelastic materials, I am well aware of the excellent review given by …

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 bifurcation problem of a circular cylinder of elastic/plastic material under uniaxial
tension is investigated, with particular reference to the usual engineering criterion that …

SOME CASES OF BIFURCATION IN ELASTIC-PLASTIC SOLIDS IN PLANE STRAIN* Page 1
349 SOME CASES OF BIFURCATION IN ELASTIC-PLASTIC SOLIDS IN PLANE STRAIN* BY …

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 …

1. INTRODUCTION THE complete necking process of certain deeply notched tension
specimens in plane plastic flow has been discussed by Leel• 2 and Wang. s The necking of …

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 …

A sufficient condition for bifurcation of equilibrium for an elastic-plastic solid under a state of
plane stress is established. The bifurcation is found to occur in any of the following modes:(i) …