The initiation of necking in rectangular elastic/plastic specimens under uniaxial and biaxial tension

JP Miler - Journal of the Mechanics and Physics of Solids, 1975 - Elsevier
N ecking in a rectangular parallelepiped of incompressible elastic/plastic material under
uniaxia tension is studied as a bifurcation problem. Approximate upper-bound bifurcation …

Bifurcation analysis of the onset of necking in an elastic/plastic cylinder under uniaxial tension

JW Hutchinson, JP Miles - Journal of the Mechanics and Physics of Solids, 1974 - Elsevier
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 …

Bifurcation in plastic flow under uniaxial tension

JP Miles - Journal of the Mechanics and Physics of Solids, 1971 - Elsevier
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 …

[PDF][PDF] On necking phenomena and bifurcation solutions

JP Miles - Arch. Mech, 1980 - rcin.org.pl
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 …

Analysis of necking based on a one-dimensional model

B Audoly, JW Hutchinson - Journal of the Mechanics and Physics of Solids, 2016 - Elsevier
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 …

Some cases of bifurcation in elastic-plastic solids in plane strain

ST Ariaratnam, RN Dubey - Quarterly of Applied Mathematics, 1969 - ams.org
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 …

A numerical study of necking in the plane tension test

MA Burke, WD Nix - International Journal of Solids and Structures, 1979 - Elsevier
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 …

Necking instabilities in elastic-plastic plates

RN Dubey, ST Ariaratnam - International Journal of Engineering Science, 1972 - Elsevier
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 …

An analysis of necking in axi-symmetric tension specimens

PF Thomason - International Journal of Mechanical Sciences, 1969 - Elsevier
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 …

Bifurcation in compressible elastic/plastic cylinders under uniaxial tension

JP Miles, UA Nuwayhid - Applied scientific research, 1985 - Springer
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 …