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Mapping misoriented fibers using X-ray dark field tomography

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Abstract

X-ray grating interferometers produce three distinct signals; an absorption signal, a differential phase signal and a dark field signal. Until now a method for successfully creating dark field tomograms of nonisotropic samples has not been demonstrated. In this paper we test a method for creating such tomograms on a highly nonisotropic sample, i.e. a five layer “sandwich” of oriented carbon fibers. The fibers are parallel within the individual sandwich layers, but perpendicular to the fibers in the adjacent layers. We show that by choosing a rotation axis parallel to the grating stepping direction (i.e. a horizontal rotation axis in most setup configurations) it is possible to produce a darkfield tomogram where fibers parallel to the probed scattering direction appear to have no dark field signal. The method produces a tomogram in the form of a scalar field of dark field scattering values.

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References

  1. B. Budiansky, N.A. Fleck, Compressive failure of fibre composites. J. Mech. Phys. Solids 41, 183–211 (1993)

    Article  ADS  Google Scholar 

  2. K.K. Kratmann, M.P.F. Sutcliffe, L.T. Lilleheden, R. Pyrz, O.T. Thomsen, A novel image analysis procedure for measuring fibre misalignment in unidirectional fibre composites. Compos. Sci. Technol. 69, 228–238 (2009)

    Article  Google Scholar 

  3. A. Axelson, Estimating 3D fibre orientation in volume images. ICPR, 1–4 (2008)

  4. M. Krause, J.M. Hausherr, B. Burgeth, C. Herrmann, W. Krenkel, Determination of the fibre orientation in composites using the structure tensor and local X-ray transform. J. Mater. Sci. 45, 888–896 (2010)

    Article  ADS  Google Scholar 

  5. T.H. Jensen, M. Bech, O. Bunk, T. Donath, C. David, R. Feidenhans’l, F. Pfeiffer, Directional x-ray dark-field imaging. Phys. Med. Biol. 55, 3317–3323 (2010)

    Article  Google Scholar 

  6. T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, E. Ziegler, X-ray phase imaging with a grating interferometer. Opt. Express 13(16), 6296–6304 (2005)

    Article  ADS  Google Scholar 

  7. F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E.F. Eikenberry, Ch. Brönnimann, C. Grünzweig, C. David, Hard-X-ray dark-field imaging using a grating interferometer. Nat. Mat. 7, 134–137 (2008)

    Article  Google Scholar 

  8. K. Robb, O. Wirjadi, K. Schladitz, Fiber orientation estimation from 3D image data: practical algorithms, visualization, and interpretation. Hybrid Intell. Syst. 320–325 (2007)

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Acknowledgments

The authors would like to thank Mikkel Schou Nielsen, Niels Bohr Institute, University of Copenhagen for his help with the setup. We would also like to thank the Center for Industrial Application of CT scanning as well as the Carlsberg Foundation for their financial support.

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Authors and Affiliations

  1. Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark

    Torsten Lauridsen & Robert Feidenhans’l

  2. Department of Energy Conversion and Storage, Technical University of Denmark, Kongens Lyngby, Denmark

    Erik M. Lauridsen

Authors
  1. Torsten Lauridsen
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  2. Erik M. Lauridsen
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  3. Robert Feidenhans’l
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Correspondence to Torsten Lauridsen.

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Lauridsen, T., Lauridsen, E.M. & Feidenhans’l, R. Mapping misoriented fibers using X-ray dark field tomography. Appl. Phys. A 115, 741–745 (2014). https://doi.org/10.1007/s00339-014-8398-z

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  • DOI: https://doi.org/10.1007/s00339-014-8398-z

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