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Modelling and Simulation in Engineering
Volume 2014 (2014), Article ID 637476, 11 pages
Research Article

Estimation of Grain Orientation in an Anisotropic Weld by Using a Model of Ultrasonic Propagation in an Inverse Scheme

1Aker Solutions, P.O. Box 73, 3401 Lier, Norway
2SCeNDT, Department of Materials and Manufacturing Technology, Chalmers University of Technology, 412 96 Gothenburg, Sweden

Received 25 February 2014; Revised 11 June 2014; Accepted 12 June 2014; Published 1 July 2014

Academic Editor: Mohamed B. Trabia

Copyright © 2014 Qingwei Liu and Håkan Wirdelius. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The initial step towards a nondestructive technique that estimates grain orientation in an anisotropic weld is presented in this paper. The purpose is to aid future forward simulations of ultrasonic NDT of this kind of weld to achieve a better result. A forward model that consists of a weld model, a transmitter model, a receiver model, and a 2D ray tracing algorithm is introduced. An inversion based on a multiobjective genetic algorithm is also presented. Experiments are conducted for both P and SV waves in order to collect enough data used in the inversion. Calculation is conducted to fulfill the estimation with both the synthetic data and the experimental data. Concluding remarks are presented at the end of the paper.