We present a statistical mechanics theory of rubber-like elasticity in swollen and unswollen
polymer networks characterized by explicitly non-Gaussian distribution functions (Laplace's …

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

For a particular finite elastic material, the governing fourth order nonlinear partial differential
equations for plane strain deformations are shown to admit a new first integral, which …

A finite deformation problem is examined for a cylinder composed of a class of
incompressible thermo-hyperelastic Mooney-Rivlin materials under an equal axial load at its …

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

Small-and large-amplitude oscillatory shear tests are widely used by experimentalists to
measure, respectively, linear and nonlinear properties of viscoelastic materials. These tests …

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 …

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 partial differential equations for static deformations of homogeneous isotropic
compressible hyperelastic materials (sometimes referred to simply as perfectly elastic …