Scattering of In-plane Elastic Waves by an Anisotropic Circle
Journal article, 2018

The 2D scattering of in-plane elastic waves by a circle is considered when the surrounding medium is isotropic and the medium inside the circle is anisotropic (orthotropic). The equations inside the circle are transformed to polar coordinates and then depend explicitly on the azimuthal angle through trigonometric functions. Making expansions in trigonometric series in the azimuthal coordinate give a coupled system of ordinary differential equations in the radial coordinate that is solved by power series expansions. With the solution inside the circle complete the scattering problem is solved essentially as in the classical case. The elements of the transition (T) matrix of the circle are given explicitly for low frequencies (long wavelengths). For low frequencies some numerical examples are given showing the strong influence of anisotropy.

Author

Anders E Boström

Chalmers, Mechanics and Maritime Sciences (M2), Dynamics

Quarterly Journal of Mechanics and Applied Mathematics

0033-5614 (ISSN) 14643855 (eISSN)

Vol. 71 2 139-155

Subject Categories

Computational Mathematics

Other Mathematics

Mathematical Analysis

DOI

10.1093/qjmam/hbx029

More information

Latest update

7/4/2018 1