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Title: Paraxial ray-tracing approach for the simulation of ultrasonic inspection of welds

Abstract

On-site inspection of bimetallic or austenitic welds can be very difficult to interpret owing to their internal structures. Skewing and splitting of the ultrasonic beam may occur due to the anisotropic and inhomogeneous properties of the welding material. In this paper, we present a ray-based method to simulate the propagation of ultrasonic waves in such structures. The formalism is based on dynamic ray tracing system in Cartesian coordinates along a reference ray. Standard ray tracing consists in the solution of a system of linear ordinary differential equations of the first order and is used to determine the trajectory of the ray. Likewise, dynamic ray tracing (DRT) also called paraxial ray tracing consists in the solution of an additional system of linear ordinary differential equations along the ray allowing paraxial quantities to be computed. It is used to evaluate the geometrical spreading and amplitude along the ray and in its vicinity. DRT is applied on a smooth representation of the elastic properties of the weld obtained thanks to an image processing technique applied on a macrograph of the weld. Simulation results are presented and compared to finite elements and experimental results.

Authors:
;  [1];  [2]
  1. CEA, LIST, Digiteo Labs, Bât 565, PC 120, F-91191, Gif-sur-Yvette (France)
  2. CNRS, UMR 7623, LIP, 15 rue de l'école de médecine, 75006 Paris, France and ESPCI ParisTech, 10 rue Vauquelin, 75005 Paris (France)
Publication Date:
OSTI Identifier:
22263809
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1581; Journal Issue: 1; Conference: 40. annual review of progress in quantitative nondestructive evaluation, Baltimore, MD (United States), 21-26 Jul 2013, 10. international conference on Barkhausen noise and micromagnetic testing, Baltimore, MD (United States), 21-26 Jul 2013; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; ANISOTROPY; AUSTENITIC STEELS; CARTESIAN COORDINATES; DIFFERENTIAL EQUATIONS; ELASTICITY; IMAGE PROCESSING; ON-SITE INSPECTION; SIMULATION; ULTRASONIC WAVES; WELDING

Citation Formats

Gardahaut, Audrey, Jezzine, Karim, and Cassereau, Didier. Paraxial ray-tracing approach for the simulation of ultrasonic inspection of welds. United States: N. p., 2014. Web. doi:10.1063/1.4864865.
Gardahaut, Audrey, Jezzine, Karim, & Cassereau, Didier. Paraxial ray-tracing approach for the simulation of ultrasonic inspection of welds. United States. https://doi.org/10.1063/1.4864865
Gardahaut, Audrey, Jezzine, Karim, and Cassereau, Didier. 2014. "Paraxial ray-tracing approach for the simulation of ultrasonic inspection of welds". United States. https://doi.org/10.1063/1.4864865.
@article{osti_22263809,
title = {Paraxial ray-tracing approach for the simulation of ultrasonic inspection of welds},
author = {Gardahaut, Audrey and Jezzine, Karim and Cassereau, Didier},
abstractNote = {On-site inspection of bimetallic or austenitic welds can be very difficult to interpret owing to their internal structures. Skewing and splitting of the ultrasonic beam may occur due to the anisotropic and inhomogeneous properties of the welding material. In this paper, we present a ray-based method to simulate the propagation of ultrasonic waves in such structures. The formalism is based on dynamic ray tracing system in Cartesian coordinates along a reference ray. Standard ray tracing consists in the solution of a system of linear ordinary differential equations of the first order and is used to determine the trajectory of the ray. Likewise, dynamic ray tracing (DRT) also called paraxial ray tracing consists in the solution of an additional system of linear ordinary differential equations along the ray allowing paraxial quantities to be computed. It is used to evaluate the geometrical spreading and amplitude along the ray and in its vicinity. DRT is applied on a smooth representation of the elastic properties of the weld obtained thanks to an image processing technique applied on a macrograph of the weld. Simulation results are presented and compared to finite elements and experimental results.},
doi = {10.1063/1.4864865},
url = {https://www.osti.gov/biblio/22263809}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1581,
place = {United States},
year = {Tue Feb 18 00:00:00 EST 2014},
month = {Tue Feb 18 00:00:00 EST 2014}
}