Simulation of Ultrasonic Backscattering in Polycrystalline Microstructures
Ultrasonic testing of polycrystalline media relies heavily on simulation of the expected signals in order to detect and correctly interpret deviations due to defects. Many effects disturb ultrasonic waves propagating in polycrystalline media. One of them is scattering due to the granular microstruct...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Acoustics |
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| Online Access: | https://www.mdpi.com/2624-599X/4/1/10 |
| _version_ | 1797473458006786048 |
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| author | Dascha Dobrovolskij Katja Schladitz |
| author_facet | Dascha Dobrovolskij Katja Schladitz |
| author_sort | Dascha Dobrovolskij |
| collection | DOAJ |
| description | Ultrasonic testing of polycrystalline media relies heavily on simulation of the expected signals in order to detect and correctly interpret deviations due to defects. Many effects disturb ultrasonic waves propagating in polycrystalline media. One of them is scattering due to the granular microstructure of the polycrystal. The thus arising so-called microstructural noise changes with grain size distribution and testing frequency. Here, a method for simulating this noise is introduced. We geometrically model the granular microstructure to determine its influence on the backscattered ultrasonic signal. To this end, we utilize Laguerre tessellations generated by random sphere packings dividing space into convex polytopes—the cells. The cells represent grains in a real polycrystal. Cells are characterized by their volume and act as single scatterers. We compute scattering coefficients cellwise by the Born approximation. We then combine the Generalized Point Source Superposition technique with the backscattered contributions resulting from the cell structure to compute the backscattered ultrasonic signal. Applying this new methodology, we compute the backscattered signals in a pulse-echo experiment for a coarse grain cubic crystallized Inconel-617 and a fine grain hexagonal crystallized titanium. Fitting random Laguerre tessellations to the observed grain structure allows for simulating within multiple realizations of the proposed model and thus to study the variation of the backscattered signal due to microstructural variation. |
| first_indexed | 2024-03-09T20:14:46Z |
| format | Article |
| id | doaj.art-a16e1bff71c3491288267f77b1a8b6d0 |
| institution | Directory Open Access Journal |
| issn | 2624-599X |
| language | English |
| last_indexed | 2024-03-09T20:14:46Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Acoustics |
| spelling | doaj.art-a16e1bff71c3491288267f77b1a8b6d02023-11-24T00:04:15ZengMDPI AGAcoustics2624-599X2022-02-014113916710.3390/acoustics4010010Simulation of Ultrasonic Backscattering in Polycrystalline MicrostructuresDascha Dobrovolskij0Katja Schladitz1Faculty of Engineering, University of Applied Sciences, Würzburger Straße 45, D-63743 Aschaffenburg, GermanyFraunhofer-Institut für Techno- und Wirtschaftsmathematik, Fraunhofer-Platz 1, D-67663 Kaiserslautern, GermanyUltrasonic testing of polycrystalline media relies heavily on simulation of the expected signals in order to detect and correctly interpret deviations due to defects. Many effects disturb ultrasonic waves propagating in polycrystalline media. One of them is scattering due to the granular microstructure of the polycrystal. The thus arising so-called microstructural noise changes with grain size distribution and testing frequency. Here, a method for simulating this noise is introduced. We geometrically model the granular microstructure to determine its influence on the backscattered ultrasonic signal. To this end, we utilize Laguerre tessellations generated by random sphere packings dividing space into convex polytopes—the cells. The cells represent grains in a real polycrystal. Cells are characterized by their volume and act as single scatterers. We compute scattering coefficients cellwise by the Born approximation. We then combine the Generalized Point Source Superposition technique with the backscattered contributions resulting from the cell structure to compute the backscattered ultrasonic signal. Applying this new methodology, we compute the backscattered signals in a pulse-echo experiment for a coarse grain cubic crystallized Inconel-617 and a fine grain hexagonal crystallized titanium. Fitting random Laguerre tessellations to the observed grain structure allows for simulating within multiple realizations of the proposed model and thus to study the variation of the backscattered signal due to microstructural variation.https://www.mdpi.com/2624-599X/4/1/10microstructural noisegrain size distributionmodel fittingLaguerre tessellation |
| spellingShingle | Dascha Dobrovolskij Katja Schladitz Simulation of Ultrasonic Backscattering in Polycrystalline Microstructures Acoustics microstructural noise grain size distribution model fitting Laguerre tessellation |
| title | Simulation of Ultrasonic Backscattering in Polycrystalline Microstructures |
| title_full | Simulation of Ultrasonic Backscattering in Polycrystalline Microstructures |
| title_fullStr | Simulation of Ultrasonic Backscattering in Polycrystalline Microstructures |
| title_full_unstemmed | Simulation of Ultrasonic Backscattering in Polycrystalline Microstructures |
| title_short | Simulation of Ultrasonic Backscattering in Polycrystalline Microstructures |
| title_sort | simulation of ultrasonic backscattering in polycrystalline microstructures |
| topic | microstructural noise grain size distribution model fitting Laguerre tessellation |
| url | https://www.mdpi.com/2624-599X/4/1/10 |
| work_keys_str_mv | AT daschadobrovolskij simulationofultrasonicbackscatteringinpolycrystallinemicrostructures AT katjaschladitz simulationofultrasonicbackscatteringinpolycrystallinemicrostructures |