An analytical model for the hydrostatic pressure response of a 1-3 composite

An analytical model has been developed for predicting the mechanical response of a composite cylinder that is composed of a solid right circular cylinder of one material surrounded by a cylindrical tube composed of some other material. It is assumed that there is no slippage at the boundary between the two phases. The model employs, throughout, the exact equations of linear elasticity and, thus, provides a solution that is exact for the specific boundary conditions that are imposed. In this paper, the specific case of hydrostatic pressure applied to the surface of the composite cylinder is discussed. The model yields the displacement and stress fields throughout the entire structure. The model was verified by comparing the results with a finite element model at several surfaces and interfaces in the structure. The model can be readily applied to the analysis of passive composite structures as well as to some recent active materials such as 1-3 piezocomposites