On the non-homogeneous finite swelling of a non-linearly elastic cylinder with a rigid core

Abstract

The finite of a non-linearly elastic cylinder bonded to a rigid core is presented in the context of the Theory of Interacting Continua. The results of this investigation for large deformations demonstrate that the constraint imposed by the rigid core induces non-homogeneous swelling characteristics with significant gradients in the stretch ratios and severe stress concentrations at the bond interface. These results could have important implications for a variety of fiber-reinforced composites featuring hygroscopic polymeric matrix materials, for example.