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 …

This paper presents an asymptotically rigorous one-dimensional analytical formulation
capable of accurately capturing the stress and strain distributions that develop within the …

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 …

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

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 …

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 tensile test is a standard technique of mechanical testing suitable for ductile materials,
which can provide quantitative measures of the intrinsic mechanical properties, such as …

A model for the prediction of localised necking in plates subjected to dynamic biaxial loading
is presented. The proposed model extends the classic two-zone localisation analysis …

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 …

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 …