Acoustic pulse interaction with a submerged functionally graded material hollow cylinder

A detailed study is undertaken to analyze the two-dimensional transient fluid-structure interaction of a plane acoustic pressure pulse with an arbitrarily thick, isotropic, functionally graded, hollow cylinder of infinite length, submerged in and filled with non-viscous compressible fluids. A laminate approximate model is adopted to deal with the assumed power-law variation of the constituents’ volume fractions across the thickness of the inhomogeneous cylinder. The problem solution is obtained by employing the classical method of modal expansion in conjunction with the powerful Transfer matrix solution technique and Durbin’s numerical Laplace inversion algorithm. Detailed numerical examples for the transient responses of water-filled and submerged thick-walled TiC-Al FGM cylinders with ceramic or metal rich material compositional gradient profiles under wideband and narrowband Gaussian incident shock loadings are presented and discussed. Many of the interesting dynamic features in the transient shell-shock interaction are addressed through appropriate plots of the internal/external pressure field as well as the induced dynamic stress concentrations within the shell material. Also, the response curves for the FGM cylinders are compared with those of equivalent bi-laminate shells containing comparable total volume fractions of constituent materials. A limiting case is considered and the validity of the work is established by comparison with the data obtained with the aid of a commercial finite element package.