A GENERAL PURPOSE APPROACH TO CALCULATING THE LONGITUDINAL AND FLEXURAL MODES OF MULTI-LAYERED, EMBEDDED, TRANSVERSELY ISOTROPIC CYLINDERS

摘要

Disperse, the general purpose program developed by the authors for calculating dispersion curves, has been expanded to allow the wave propagation in transversely isotropic cylinders to be modeled. This extension takes advantage of a wave potential method originally developed by Mirsky and the global matrix method originally developed by Knopoff to model axi-symmetric and non-axi-symmetric wave propagation in systems comprised of multiple layers. With this implementation, the wave propagation solution can be obtained even when the structure is immersed in a fluid or embedded within a solid. This flexibility combined with the accuracy of treating materials as transversely isotropic will allow the study of a wide range of systems. Examples of two such systems, a carbon fiber in water and a SiC-C fiber in titanium, have been shown. Tests on these types of systems could be used for both defect detection or for material characterization, such as determining the elastic constants of the fiber or the properties of the interface between the fiber and the surrounding material.