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
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.