A numerical method for the simulation of NDT experiments in an elastic waveguide

V. Baronian; A. S. Bonnet-Ben Dhia; A. Lhémery; E. Lunéville

doi:10.1007/978-3-540-89105-5_12

A numerical method for the simulation of NDT experiments in an elastic waveguide

V. Baronian, A. S. Bonnet-Ben Dhia, A. Lhémery, E. Lunéville

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This work concerns the numerical simulation of a non destructive testing experiment in an elastic waveguide. The transient wave which is produced by the transducer is represented, in the frequency domain, as a superposition of modes. As a consequence of Auld’s reciprocity principle, the echo measured by the receiver can be expressed by a formula combining the modal amplitudes and the scattering matrix of the defect. An original and efficient finite element formulation has been developed for the computation of this matrix, which applies to arbitrary flaws: the unknowns are the displacement field in a small portion of the waveguide containing the defect and the normal component of the normal stresses on the artificial boundaries. Numerical results are presented in the two-dimensional case.

Original language	English
Title of host publication	Ultrasonic Wave Propagation in Non Homogeneous Media
Editors	Alain Leger, Marc Deschamps
Publisher	Springer Science and Business Media, LLC
Pages	137-147
Number of pages	11
ISBN (Print)	9783540891048
DOIs	https://doi.org/10.1007/978-3-540-89105-5_12
Publication status	Published - 1 Jan 2009
Event	5th Meeting of the Anglo-French Research Group on Wave propagation in non homogeneous media with a view to Non Destructive testing, 2008 - Anglet, France Duration: 2 Jun 2008 → 6 Jun 2008

Publication series

Name	Springer Proceedings in Physics
Volume	128
ISSN (Print)	0930-8989
ISSN (Electronic)	1867-4941

Conference

Conference	5th Meeting of the Anglo-French Research Group on Wave propagation in non homogeneous media with a view to Non Destructive testing, 2008
Country/Territory	France
City	Anglet
Period	2/06/08 → 6/06/08

Access to Document

10.1007/978-3-540-89105-5_12

Cite this

Baronian, V., Bonnet-Ben Dhia, A. S., Lhémery, A., & Lunéville, E. (2009). A numerical method for the simulation of NDT experiments in an elastic waveguide. In A. Leger, & M. Deschamps (Eds.), Ultrasonic Wave Propagation in Non Homogeneous Media (pp. 137-147). (Springer Proceedings in Physics; Vol. 128). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-3-540-89105-5_12

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title = "A numerical method for the simulation of NDT experiments in an elastic waveguide",

abstract = "This work concerns the numerical simulation of a non destructive testing experiment in an elastic waveguide. The transient wave which is produced by the transducer is represented, in the frequency domain, as a superposition of modes. As a consequence of Auld{\textquoteright}s reciprocity principle, the echo measured by the receiver can be expressed by a formula combining the modal amplitudes and the scattering matrix of the defect. An original and efficient finite element formulation has been developed for the computation of this matrix, which applies to arbitrary flaws: the unknowns are the displacement field in a small portion of the waveguide containing the defect and the normal component of the normal stresses on the artificial boundaries. Numerical results are presented in the two-dimensional case.",

author = "V. Baronian and \{Bonnet-Ben Dhia\}, \{A. S.\} and A. Lh{\'e}mery and E. Lun{\'e}ville",

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Baronian, V, Bonnet-Ben Dhia, AS, Lhémery, A & Lunéville, E 2009, A numerical method for the simulation of NDT experiments in an elastic waveguide. in A Leger & M Deschamps (eds), Ultrasonic Wave Propagation in Non Homogeneous Media. Springer Proceedings in Physics, vol. 128, Springer Science and Business Media, LLC, pp. 137-147, 5th Meeting of the Anglo-French Research Group on Wave propagation in non homogeneous media with a view to Non Destructive testing, 2008, Anglet, France, 2/06/08. https://doi.org/10.1007/978-3-540-89105-5_12

A numerical method for the simulation of NDT experiments in an elastic waveguide. / Baronian, V.; Bonnet-Ben Dhia, A. S.; Lhémery, A. et al.
Ultrasonic Wave Propagation in Non Homogeneous Media. ed. / Alain Leger; Marc Deschamps. Springer Science and Business Media, LLC, 2009. p. 137-147 (Springer Proceedings in Physics; Vol. 128).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - A numerical method for the simulation of NDT experiments in an elastic waveguide

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N2 - This work concerns the numerical simulation of a non destructive testing experiment in an elastic waveguide. The transient wave which is produced by the transducer is represented, in the frequency domain, as a superposition of modes. As a consequence of Auld’s reciprocity principle, the echo measured by the receiver can be expressed by a formula combining the modal amplitudes and the scattering matrix of the defect. An original and efficient finite element formulation has been developed for the computation of this matrix, which applies to arbitrary flaws: the unknowns are the displacement field in a small portion of the waveguide containing the defect and the normal component of the normal stresses on the artificial boundaries. Numerical results are presented in the two-dimensional case.

AB - This work concerns the numerical simulation of a non destructive testing experiment in an elastic waveguide. The transient wave which is produced by the transducer is represented, in the frequency domain, as a superposition of modes. As a consequence of Auld’s reciprocity principle, the echo measured by the receiver can be expressed by a formula combining the modal amplitudes and the scattering matrix of the defect. An original and efficient finite element formulation has been developed for the computation of this matrix, which applies to arbitrary flaws: the unknowns are the displacement field in a small portion of the waveguide containing the defect and the normal component of the normal stresses on the artificial boundaries. Numerical results are presented in the two-dimensional case.

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Y2 - 2 June 2008 through 6 June 2008

ER -

A numerical method for the simulation of NDT experiments in an elastic waveguide

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