The following general problem is considered: Elements of a solid body deform appreciably
only when the local stresses satisfy a certain relation; the material properties are otherwise …

We consider an elastic-plastic body subjected to a specific programme of static loading. In
the analysis of the behaviour of the body in the course of the individual steps of the loading …

The problem of finding an equilibrium distribution of stress not exceeding the yield point in
the assumed rigid regions of a deforming body is considered. Theorems, based on the limit …

STRESS-STRAIN RELATIONS, UNIQUENESS AND VARIATIONAL THEOREMS FOR
ELASTIC-PLASTIC MATERIALS WITH A SINGULAR YIELD SURFACE* Page 1 350 NOTES …

The yield point of a plastic-rigid body is defined as the moment when deformation first
becomes possible as the load is increased. The practical significance of the yield-point load …

The general problem of stability under dead loading is treated for a body of any shape, the
material being workhardening and rigid-plastic. It is shown that when the plastic potential …

Within the scope of the purely mechanical theory of plasticity, in a previous paper we have
derived two inequalities which place restrictions on the constitutive equation for the rate of …

In previous papers in this series the question of how to select an actual mode of deformation
from the set of virtual modes was answered when geometry changes can be disregarded. In …

The yield point of a rigid-plastic solid is defined by specifying the velocity υ over a part S υ of
the surface and traction F over the remainder S F. It is known that these boundary conditions …

1. Introduction. The present paper is concerned with certain stress-strain rela-tions
purporting to describe the mechanical behaviour of quasi-isotropic metals in the strain …