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Determination of the fibre orientation in composites using the structure tensor and local X-ray transform

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Abstract

Computed tomography is a non-destructive testing technique based on X-ray absorption that permits the 3D-visualisation of materials at micron-range resolutions. In this article, computed tomography is used to investigate fibre orientation and fibre position in various fibre-reinforced materials such as ceramic matrix composites, glass fibre-reinforced plastics or reinforced concrete. The goal of this article is to determine the quantitative orientation of fibres in fibre-reinforced materials. For this purpose, a mathematical technique based on the structure tensor is used to determine the local orientation of fibres. The structure tensor is easy to implement and results in a fast algorithm relying solely on local properties of the given reconstruction. In addition, the local X-ray transform is used to denoise fibres and to segment them from the matrix.

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Acknowledgements

The authors gratefully acknowledge the support of the ’Bayrische Forschungsstiftung’ (BFS) for funding this research in respect of the project ’Kontisilizierung’ (Förderkennzeichen AZ-719-06).

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Authors and Affiliations

  1. Ceramic Materials Engineering, University of Bayreuth, 95440, Bayreuth, Germany

    M. Krause, J. M. Hausherr & W. Krenkel

  2. Fraunhofer Projektgruppe Keramische Verbundstrukturen, Gottlieb-Keim-Straße, 95448, Bayreuth, Germany

    J. M. Hausherr, C. Herrmann & W. Krenkel

  3. Faculty of Mathematics and Computer Science, Saarland University, 66041, Saarbrücken, Germany

    B. Burgeth

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  1. M. Krause
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  2. J. M. Hausherr
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  3. B. Burgeth
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  4. C. Herrmann
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  5. W. Krenkel
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Correspondence to M. Krause.

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Krause, M., Hausherr, J.M., Burgeth, B. et al. Determination of the fibre orientation in composites using the structure tensor and local X-ray transform. J Mater Sci 45, 888–896 (2010). https://doi.org/10.1007/s10853-009-4016-4

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  • DOI: https://doi.org/10.1007/s10853-009-4016-4

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