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Identification of Arrays of Cracks in the Elastic Medium by the Ultrasonic Scanning

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Wave Dynamics and Composite Mechanics for Microstructured Materials and Metamaterials

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 59))

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Abstract

In the present paper we study the problem on image identification for clusters of linear cracks located inside an unbounded elastic medium, by using a circular Ultrasonic echo-method. The parameters to be reconstructed are the number of cracks, their size, location and the slope of each defect. The scanning is performed by an ultrasonic transducer of a fixed frequency placed at a certain distance in a far-zone, which can generate an ultrasonic wave incident to the system of cracks at arbitrary angle. The input data, used for the reconstruction algorithm, is taken as the back-scattered amplitudes measured in the echo method for the full circular interval of the scanning angle. The diffraction of the elastic waves is studied in the scalar approximation. The proposed numerical algorithm is tested on some examples with clusters of cracks whose position and geometry are known a priori.

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Acknowledgements

The first author is thankful to the Russian Science Foundation (RSCF), for its support by Project 15-19-10008.

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Correspondence to M. A. Sumbatyan .

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Sumbatyan, M.A., Brigante, M. (2017). Identification of Arrays of Cracks in the Elastic Medium by the Ultrasonic Scanning . In: Sumbatyan, M. (eds) Wave Dynamics and Composite Mechanics for Microstructured Materials and Metamaterials . Advanced Structured Materials, vol 59. Springer, Singapore. https://doi.org/10.1007/978-981-10-3797-9_4

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  • DOI: https://doi.org/10.1007/978-981-10-3797-9_4

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  • Online ISBN: 978-981-10-3797-9

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