In this paper we prove the uniqueness of certain regular and singular radial solutions to the
equilibrium equations of nonlinear elasticity for an isotropic material.

Experiments on elastomers have shown that sufficiently large triaxial tensions induce the
material to exhibit holes that were not previously evident. In this paper, conditions are …

Consider a nonlinearly elastic body which occupies the region $\Omega \subset {\mathbb{R}}
^m$ ($m=2,3$) in its reference state and which is held in tension under prescribed …

The uniqueness of absolute minimizers of the energy of a compressible, hyperelastic body
subject to a variety of dead-load boundary conditions in two and three dimensions is herein …

Experiments on polymers indicate that large tensile stress can induce cavitation, that is, the
appearance of voids that were not previously evident in the material. This phenomenon can …

Let $${A=\{{\bf x} \in \mathbb{R}^n : a < |{\bf x}| < b\}, n \geqq 2, a > 0}$$ , be the region
occupied by an incompressible, nonlinearly hyperelastic material in its reference configuration. …

Consider a cylinder (not necessarily of circular cross-section) that is composed of a hyperelastic
material and which is stretched parallel to its axis of symmetry. Suppose that the elastic …

Consider a homogeneous, isotropic, hyperelastic body occupying the region $${A = \{{\bf x}\in\mathbb{R}^{n}\,
: \,a <\,|{\bf x} |\,< b \}}$$ in its reference state and subject to radially …

Consider an incompressible, hyperelastic material occupying the unit ball B⊂ℝ n in its
reference state. Suppose that the deformation u:B→ℝ n is specified on the boundary by $$\mathbf…

Experiments on elastomers have shown that triaxial tension can induce a material to exhibit
holes that were not previously evident. Analytic work in nonlinear elasticity has established …