Plane deformations of the Varga material

The governing equations for plane deformations of isotropic incompressible hyperelastic materials are highly nonlinear, and consequently, very few exact solutions are known. As far as we are aware, the Varga material is the only material in which results of any generality are known. In this paper, we show that for the Varga material, the full governing equations are in fact linearizable.

Automated summary

In this paper, it is shown that the governing equations for the Varga material, which belongs to the isotropic incompressible hyperelastic materials, can be linearized. This is an uncommon property among other materials of similar nature.