Efficient numerical evaluation of the scattering of acoustic and elastic waves by arrays of cylinders of arbitrary cross section

Abstract

We discuss the scattering of acoustic and elastic waves from periodic arrays of aligned cylinders of arbitrary cross section, via the boundary element method. We introduce a novel means of calculating the quasi-periodic Green’s function for the acoustic case, and the quasi-periodic Green’s tensor for the elastodynamic problem. We also discuss the giant monopole resonance that arises for high contrast materials, and the effect of cavity shape on the size and frequency of the resonance.

Date of Award	2 Jul 2020
Original language	English
Awarding Institution	The University of Manchester
Supervisor	Ian Abrahams (Co Supervisor) & William Parnell (Main Supervisor)