Oblique scattering of an elastic wave from a multilayered cylinder in a solid. Transfer matrix approach

摘要

The scattering of an elastic wave obliquely incident on a multilayered cylinder in a solid is studied using a transfer matrix approach. Scattering of longitudinal and shear waves with arbitrary polarizations are considered. To facilitate the derivation of the solutions for scattering in the multilayered cylindrical system, a 6 × 6 transfer matrix is introduced for each cylindrical layer to relate the stresses and displacements on the inner and outer boundaries of that layer. A total transfer matrix relating the elastic field in the surrounding matrix to that in the cylinder core is obtained as a product of individual transfer matrices of intermediate layers. Numerical examples are given for a coated multiphase SiC fiber in a titanium matrix. Frequency and angle dependencies of specularly reflected and forward-scattered waves, and of the total scattering cross section, are calculated for different fiber-matrix interphase properties.