TY - GEN
T1 - A numerical method for the simulation of NDT experiments in an elastic waveguide
AU - Baronian, V.
AU - Bonnet-Ben Dhia, A. S.
AU - Lhémery, A.
AU - Lunéville, E.
N1 - Publisher Copyright:
© 2009 Springer-Verlag Berlin Heidelberg.
PY - 2009/1/1
Y1 - 2009/1/1
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.
UR - https://www.scopus.com/pages/publications/84860792487
U2 - 10.1007/978-3-540-89105-5_12
DO - 10.1007/978-3-540-89105-5_12
M3 - Conference contribution
AN - SCOPUS:84860792487
SN - 9783540891048
T3 - Springer Proceedings in Physics
SP - 137
EP - 147
BT - Ultrasonic Wave Propagation in Non Homogeneous Media
A2 - Leger, Alain
A2 - Deschamps, Marc
PB - Springer Science and Business Media, LLC
T2 - 5th Meeting of the Anglo-French Research Group on Wave propagation in non homogeneous media with a view to Non Destructive testing, 2008
Y2 - 2 June 2008 through 6 June 2008
ER -