WAVE-PROPAGATION IN FLUID-LOADED, TRANSVERSELY ISOTROPIC CYLINDERS .1. ANALYTICAL FORMULATION

The problem of wave propagation in an infinite, fluid-loaded, homogene ous, transversely isotropic cylinder is studied within the framework o f the linearized, three-dimensional theory of elasticity. The equation s of motion of the cylinder are formulated using the constitutive equa tions of a transversely isotropic material with a preferred material d irection collinear with the longitudinal axis of the cylinder. The equ ations of motion of the internal and external fluids are formulated us ing the constitutive equations of an inviscid fluid. Displacement pote ntials are used to solve the equations of motion of the cylinder and t he fluids. The frequency equation of the coupled system, consisting of the cylinder and the internal and external fluids, is developed under the assumption of perfect-slip boundary conditions at the fluid-solid interfaces. This frequency equation is general in axial wave number k , circumferential wave number n, cylinder wall thickness h, and radial frequency omega. Simplifications to the frequency equation for the ca ses of zero wave number and material isotropy are discussed. (C) 1996 Acoustical Society of America.