An Isaac Newton Institute Workshop

Effective Computational Methods for Highly Oscillatory Problems: The Interplay between Mathematical Theory and Applications

Backscatter diffraction coefficients for surface-breaking cracks: Comparison of two semi-analytical approaches

Authors: Larissa Fradkin (London South Bank Univesrity), Vladimir Kamotski (University of Bath), Art Gautesen (Iowa State University)

Abstract

Evaluation of diffraction coefficients for surface-breaking cracks has been an outstanding problem in mathematical modelling of ultrasonic inspection for over twenty years. Several groups of applied mathematicians have been involved in developing suitable semi-analytical solutions over an even longer period. Recently two different approaches, one based on the Budaev and Bogy's technique and one based on the Gautesen's method have been developed and coded. We report on their successful cross-validation and validation against experimental data.

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