LISA simulations of time-reversed acoustic and elastic wave experiments

Delsanto, Pier Paolo; Johnson, P. A.; Scalerandi, Marco; TenCate, James A.

doi:10.1088/0022-3727/35/23/316

Cited by 15 publications

(12 citation statements)

References 26 publications

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“…6,7 Furthermore, the validity of time reversal has been proven in solids. [8][9][10] More recently, Tanter et al 11 and Cunningham et al 12 have proven reversibility in nonlinear elastic media, at least under certain conditions.…”

Section: Introductionmentioning

confidence: 99%

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Efficiency of time-reversed acoustics for nonlinear damage detection in solids

Gliozzi

Griffa

Scalerandi

2006

The Journal of the Acoustical Society of America

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Time-reversed acoustics ͑TRA͒ has been developed in the last few years as a powerful tool for several applications, based on the theoretical properties emerging from the time reversal invariance of the wave equation. TRA is expected to be a good basis for the development of imaging techniques in the field of nondestructive evaluation. For this purpose, however, data processing is necessary to discriminate between images due to defects ͑in general nonlinear scatterers͒ and images due to linear inclusions, boundaries, etc. We propose here an approach based on the filtering of the time signals. The image of the scatterer is obtained through numerical simulations of the back propagation in a fictitious reference specimen. We validate the approach using the inversion of synthetic data. We also estimate the robustness of the procedure in the presence of constraints that can occur in any experimental procedure.

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Section: Introductionmentioning

confidence: 99%

“…27 In particular, simulations have shown that the energy of the reversed wave field focuses on the scatterers, hence indicating a novel imaging procedure. 9,10,28 In this paper, we suggest a novel procedure to obtain selective focusing on nonlinear scatterers. We also introduce additional novelties with respect to the existing approaches.…”

Section: Introductionmentioning

confidence: 99%

Efficiency of time-reversed acoustics for nonlinear damage detection in solids

Gliozzi

Griffa

Scalerandi

2006

The Journal of the Acoustical Society of America

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“…We chose to examine these ideas using a simplified numerical simulation of the experiment-these results have already been published and are reported elsewhere. 14 In that simulation, we made a first attempt to model and simulate the process numerically using the local interaction method known as LISA. 15 The initial results from that work ͑simu-lating just a few reflections͒ were encouraging.…”

Section: Introductionmentioning

confidence: 99%

Single-channel time reversal in elastic solids

Sutin

TenCate

Johnson

2004

The Journal of the Acoustical Society of America

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Reverberant volume time reversal in 3D elastic solids ͑doped glass and Berea sandstone͒ using a single channel are presented. In spite of large numbers of mode conversions ͑compressional to shear wave conversions at the walls͒, time reversal works extremely well, providing very good spatial and time focusing of elastic waves. Ceramics were bonded to the surface as sources ͑100-700 kHz͒; a broadband laser vibrometer ͑dc-1.5 MHz͒ was used as detector. Temporal and spatial time-reversal focusing are frequency dependent and depend on the dissipation characteristics of the medium. Doped glass ͑inverse dissipation Q between 2000 to 3000͒ shows time-reversed spatial focal resolution at about half of the shear wavelength. The Berea sandstone (Qϭ50) yields a wider focusing width ͑a bit more than the shear wavelength͒ due to its lower Q. Focusing in the doped glass is better because the time-reversal ͑virtual͒ array created by wave reflections is larger than in the highly attenuating sandstone. These are the first results reported in granular media, and are a first step toward geophysical and field applications.

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“…Numerical time reversal for elastic media has been considered in [11,25] while experimental results are reported in [24,21,20]. The DORT (french acronym for decomposition of the time reversal operator) method applied to elastic wave scattering can be found in [4].…”

Section: Introductionmentioning

confidence: 99%

Time Reversal in Elastodynamics and Applications to Structural Health Monitoring

Panagiotopoulos¹,

Petromichelakis²,

Tsogka³

2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. In structural health monitoring, detection of localized damage can be achieved by exploiting recorded signals at a limited number of sensors within the structure. Here we propose the localization of damage using an array of sensors as a computational time-reversal mirror (TRM). Time reversal (TR) is a physical process that exploits the time reversibility of wave equations and achieves re-focusing of the wave on the source of its origin by sending back, reversed in time, the signals recorded on an array of transducers. TR was originally introduced by Mathias Fink and his group and has several applications ranging from medical imaging to telecommunications [14].In the present work, we perform time reversal numerically in order to effectively detect and localize defects in a bounded two-dimensional elastic domain. This is a generalization of a respective time-reversal implementation in an acoustic medium [12]. The solid contains a number of N r sensors which can act as sources as well. Our data is the response matrix of the scattered field, that is, the difference between the total field obtained in the damaged structure and the incident field corresponding to the response in the healthy structure.Numerical solution of the wave propagation problem is performed using a mixed finite element formulation in terms of the velocity and stress fields [6]. In order to dissociate the response caused by N d different defects, we apply the singular value decomposition (SVD) of the response matrix, while back-propagation of the projection of each singular vector corresponding to a non-zero singular value is performed in order to highlight each defect separately.

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LISA simulations of time-reversed acoustic and elastic wave experiments

Cited by 15 publications

References 26 publications

Efficiency of time-reversed acoustics for nonlinear damage detection in solids

Efficiency of time-reversed acoustics for nonlinear damage detection in solids

Single-channel time reversal in elastic solids

Time Reversal in Elastodynamics and Applications to Structural Health Monitoring

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