Analytical modeling of transient hygro-elastic stress concentration – Application to embedded optical fiber in a non-uniform transient strain field

The aim of this work is to propose an analytical model for transient hygro-elastic stresses in transversely isotropic multi-layered cylinders. This approach allows one to calculate the time and space dependent hygro-elastic stresses in fiber-reinforced composite submitted to hygroscopic fields by applying the classical continuum mechanics formalism. Application of the proposed model to the case of an embedded optical fiber shows interesting results, concerning the stress field perturbation occurring in the composite in the vicinity of the intrusive optical fiber. The model proposed in this study provides a detailed stress analysis of the inclusion which is required to correctly interpret the data collected through the optical fiber and deduce stresses experienced by the host material.