Scattering of elastic waves by a cylindrical cavity in a solid

Abstract

Numerical computations of scattering cross sections are made for plane compressional and shear waves incident normally upon an infinitely long circular cylindrical cavity in a homogeneous isotropic elastic solid. Dependencies of the cross sections upon the variables ka and κa (k and κ are the compressional and shear wave vector amplitudes, respectively, and a is the cylinder radius) and upon the material parameter κ/k are discussed, along with the relative contributions of the various components of the total cross sections. Computations are made over the range 0⩽ka⩽6 for incident compressional waves, and 0⩽κa⩽10 for incident shear waves. Both sets of computations are done for a number of values of κ/k corresponding to various host materials.