Some explicit solutions for non-linear elastic solids

The present work deals with some equilibrium problems for solids made of elastic materials of bounded tensile strength and for which explicit solutions are achieved. The preliminary considerations Section presents the constitutive equation adopted and describes its main properties, also with regard to the possible uniqueness of the solution to boundary problems. Four distinct equilibrium problems are then considered, the first three of which are characterised by specific symmetry conditions, polar, spherical and cylindrical, respectively