In this paper, the dynamic inflation problems are examined for infinitely long cylindrical tubes
composed of a class of transversely isotropic incompressible Ogden material models. The …

The governing partial differential equations for static deformations of homogeneous isotropic
incompressible elastic materials are highly nonlinear, and consequently only a few exact …

In this article we obtain closed-form solutions for the combined inflation and axial shear of an
elastic tube in respect of the compressible isotropic elastic material introduced by Levinson …

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

In this paper, we study the problem of the large axially symmetric deformations of a neo-
Hookean rod with one end fixed and the other end subjected to a static load. By using a …

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

In this paper we characterize those strain energy functions in unconstrained nonlinear
elasticity that satisfy the equations of equilibrium identically. The idea is to construct a useful …

Mathematical elasticity is a diverse and branching topic, often closely related to physics. In
1961, Fritz John was able to reduce the problem of 2D deformations for hyperelastic …

In this paper, we study a three-dimensional axisymmetric boundary-value problem of a
slender cylinder composed of a nonlinearly elastic material subjected to an axial force …

In this paper we consider exact solutions for plane and axisymmetric deformations for a
class of compressible elastic materials we call coharmonic. The coharmonic materials are …