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 …

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 …

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 …

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 …

The state of stress in the core of a notched bar is analysed at the moment when pronounced
plastic yielding begins. The theory is two-dimensional and an ideal plastic-rigid material is …

T he necking of an elastic-plastic circular plate under uniform radial tensile loading is
investigated both within the framework of the three-dimensional theory and within the …

Standard plane-strain solutions for the bending of notched rigid/plastic bars apply only if the
notch is sufficiently deep (Gpreen 1956). Following Green, critical notch depths are …

The possibility of localization of a buckling pattern is investigated for a class of structures in
which the initial buckling mode is periodic. A simple model indicates that the basic …

The analysis of large deflections of rectilinear frames subjected to arbitrary discrete loads
and boundary conditions is presented. The problem is formulated as a system of …

The nonlinear deflections of a thin elastic simply-supported rectangular plate are studied.
The plate is deformed by a compressive thrust applied along the short edges. For the …