The present review paper consists of two main parts, which are not connected. The first part
is devoted to a general axisymmetric elastic–plastic plane stress solution, assuming polar …

The governing equations for plane deformations of isotropic incompressible hyperelastic
materials are highly nonlinear, and consequently, very few exact solutions are known. As far …

The governing equations for plane stress deformations of isotropic incompressible
hyperelastic materials are highly nonlinear and consequently very few exact solutions are …

In this paper, spherical cavitated bifurcation problems are examined for incompressible
hyper-elastic materials and compressible hyper-elastic materials, respectively. For …

In Part I of this article, the problem of determining plane deformations of a particular perfectly
elastic material is shown to give rise to three second order problems. These are evidently …

Many boundary-value problems in nonlinear elastostatics for incompressible isotropic
materials have been solved analytically. The situation for compressible materials is quite …

Experimental data for simple tension suggest that there is a power–law kinematic
relationship between the stretches for large classes of slightly compressible (or almost …

In parts I and II of this work, for plane strain, plane stress, and axially symmetric
deformations, a number of first integrals are obtained for the so-called perfectly elastic Mirga …

The governing equations for plane deformations of isotropic compressible hyperelastic
materials are highly nonlinear, and consequently, very few exact solutions are known. At …

Qualitative effects in the solution of a number of radially symmetric and plane axisymmetric
problems for bodies made of non-linearly elastic incompressible materials are analysed for …