This work is concerned with the modeling of the necking phenomenon in metallic tension
members using a non-linear theory of elasto-plastic rods with deformable cross section. The …

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 is a bifurcation phenomenon observed in round bars under tensile loading and has
been investigated in numbers of papers. In the present work, it is modeled within the …

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 …

A one-dimensional finite element program has been developed to study the effects of inertia
on necking instability in a round bar under tension. An elastic-viscoplastic constitutive law is …

The static elastoplastic characterization of metals consists of the determination, by way of
experimental tensile tests, of the curve expressing the equivalent von Mises stress as a …

A theoretical basis is established for analysis of finite deformation of metals. The observation
that finite deformation of such elastoplastic materials may be viewed as a process rather …

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 …

Applying two theories in plasticity (flow theory and a modified deformation theory), the
necking of a cylindrical bar in uniaxial tension is analysed. The development of finite strain …

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 …