Graduate School in Nonlinear Science

Sponsored by the Danish Research Academy

Mathematical modelling of acoustic waves in anisotropic media

by Søren Halkjær
Department of Mathematical Modelling

Thursday, August 27, 1998 15:00 h
at MIDIT, Building 305 room 027

MIDIT-seminar No. 414

Abstract: High frequency acoustic waves (ultrasonics) is an important tool in the industry for the detection and eventual sizing of faults in various materials. This industrial PhD project, involving IMM and FORCE Institute, focuses on the (linear) modelling of acoustic waves in anisotropic and inhomogeneous solids.
In the presentation, I will describe the 2D numerical model (EFIT) which I have been using in my work. I will furthermore present a more analytic approach for verifying the numerical approach in some (simple) test cases. The 2D analytic approach can be extended to 3D using a Radon transformation. 3D models, although simple, may provide us with important information about what and how much we are missing, when we restrict ourselves to 2D modelling. I will end the presentation with a description of some modelling situations we would like to study and compare with real experiments in the lab.