Table of Contents
Journal of Computational Engineering
Volume 2016 (2016), Article ID 2753187, 9 pages
http://dx.doi.org/10.1155/2016/2753187
Research Article

A Monte-Carlo Algorithm for 3D Fibre Detection from Microcomputer Tomography

1Justus Liebig University, Institute for Theoretical Physics, Heinrich-Buff-Ring 16, 35392 Giessen, Germany
2Technische Hochschule Mittelhessen, Institute of Mechanics and Materials, Wiesenstr. 14, 35390 Giessen, Germany

Received 14 March 2016; Revised 15 July 2016; Accepted 11 August 2016

Academic Editor: Amine Ammar

Copyright © 2016 Robert Gloeckner et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. G. Fischer, “Quantitative Ermittlung der Orientierung von Kurzglasfasern mit der Bildanalyse,” Kunststoffe, vol. 77, no. 5, pp. 509–512, 1987. View at Google Scholar
  2. H. L. Cox, “The elasticity and strength of paper and other fibrous materials,” British Journal of Applied Physics, vol. 3, no. 3, pp. 72–79, 1952. View at Publisher · View at Google Scholar · View at Scopus
  3. J. C. Halpin and N. J. Pagano, “The laminate approximation for randomly oriented fibrous composites,” Journal of Composite Materials, vol. 3, no. 4, p. 720, 1969. View at Google Scholar
  4. H. Fukuda and T.-W. Chou, “A probabilistic theory of the strength of short-fibre composites with variable fibre length and orientation,” Journal of Materials Science, vol. 17, no. 4, pp. 1003–1011, 1982. View at Publisher · View at Google Scholar · View at Scopus
  5. I. M. Robinson and J. M. Robinson, “The influence of fibre aspect ratio on the deformation of discontinuous fibre-reinforced composites,” Journal of Materials Science, vol. 29, no. 18, pp. 4663–4677, 1994. View at Publisher · View at Google Scholar · View at Scopus
  6. S.-Y. Fu and B. Lauke, “The elastic modulus of misaligned short-fiber-reinforced polymers,” Composites Science and Technology, vol. 58, no. 3-4, pp. 389–400, 1998. View at Publisher · View at Google Scholar · View at Scopus
  7. B. Mlekusch, “Thermoelastic properties of short-fibre-reinforced thermoplastics,” Composites Science and Technology, vol. 59, no. 6, pp. 911–923, 1999. View at Publisher · View at Google Scholar · View at Scopus
  8. S. W. Jung, S. Y. Kim, H. W. Nam, and K. S. Han, “Measurements of fiber orientation and elastic-modulus analysis in short-fiber-reinforced composites,” Composites Science and Technology, vol. 61, no. 1, pp. 107–116, 2001. View at Publisher · View at Google Scholar · View at Scopus
  9. H. R. Lusti, P. J. Hine, and A. A. Gusev, “Direct numerical predictions for the elastic and thermoelastic properties of short fibre composites,” Composites Science and Technology, vol. 62, no. 15, pp. 1927–1934, 2002. View at Publisher · View at Google Scholar · View at Scopus
  10. R. P. Hegler, G. Mennig, and C. Schmauch, “Phase separation effects in processing of glass-bead-and glass-fiber-filled thermo-plastics by injection molding,” Advances in Polymer Technology, vol. 7, no. 1, pp. 3–20, 1987. View at Google Scholar
  11. G. B. Jeffery, “The motion of ellipsoidal particles immersed in a viscous fluid,” Proceedings of the Royal Society of London, Series A, vol. 102, no. 715, pp. 161–179, 1922. View at Publisher · View at Google Scholar
  12. F. Folgar and C. L. Tucker III, “Orientation behavior of fibers in concentrated suspensions,” Journal of Reinforced Plastics and Composites, vol. 3, no. 2, pp. 98–119, 1984. View at Publisher · View at Google Scholar · View at Scopus
  13. U. Mohr-Matuschek, Auslegung von Kunststoff- und Elastomerformteilen mittels Finite-Elemente-Simulationen [Ph.D. thesis], Technische Hochschule Aachen, Aachen, Germany, 1992.
  14. R. S. Bay and C. L. Tucker, “Fiber orientation in simple injection moldings. Part II: experimental results,” Polymer Composites, vol. 13, no. 4, pp. 332–341, 1992. View at Publisher · View at Google Scholar
  15. K. K. Kratmann, M. P. F. Sutcliffe, L. T. Lilleheden, R. Pyrz, and O. T. Thomsen, “A novel image analysis procedure for measuring fibre misalignment in unidirectional fibre composites,” Composites Science and Technology, vol. 69, no. 2, pp. 228–238, 2009. View at Publisher · View at Google Scholar · View at Scopus
  16. L. Zedler, “Bildanalytische Rekonstruktion dreidmensionaler Füllstoffstrukturen,” AIF 10833B/VI Report, German Institute for Polymers, Darmstadt, Germany, 1998. View at Google Scholar
  17. C. Eberhardt and A. Clarke, “Fibre-orientation measurements in short-glass-fibre composites. Part I: automated, high-angular-resolution measurement by confocal microscopy,” Composites Science and Technology, vol. 61, no. 10, pp. 1389–1400, 2001. View at Publisher · View at Google Scholar · View at Scopus
  18. G. Zak, M. Haberer, C. B. Park, and B. Benhabib, “Estimation of average fibre length in short-fibre composites by a two-section method,” Composites Science and Technology, vol. 60, no. 9, pp. 1763–1772, 2000. View at Publisher · View at Google Scholar · View at Scopus
  19. J. Goebbels, H. Heidt, A. Kettschau, and P. Reimers, “Computerized tomography of glass-fiber reinforced plastic components,” in Non-Destructive Testing—Proceedings of the 4th European Conference, vol. 3, pp. 2111–2113, NDT International, 1987. View at Google Scholar
  20. C. N. Eberhardt and A. R. Clarke, “Automated reconstruction of curvilinear fibres from 3D datasets acquired by X-ray microtomography,” Journal of Microscopy, vol. 206, no. 1, pp. 41–53, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  21. P. J. Schilling, B. P. R. Karedla, A. K. Tatiparthi, M. A. Verges, and P. D. Herrington, “X-ray computed microtomography of internal damage in fiber reinforced polymer matrix composites,” Composites Science and Technology, vol. 65, no. 14, pp. 2071–2078, 2005. View at Publisher · View at Google Scholar · View at Scopus
  22. J. S. U. Schell, M. Renggli, G. H. van Lenthe, R. Müller, and P. Ermanni, “Micro-computed tomography determination of glass fibre reinforced polymer meso-structure,” Composites Science and Technology, vol. 66, no. 13, pp. 2016–2022, 2006. View at Publisher · View at Google Scholar · View at Scopus
  23. V. Müller, B. Brylka, F. Dillenberger, R. Glöckner, S. Kolling, and T. Böhlke, “Homogenization of elastic properties of short-fiber reinforced composites based on measured microstructure data,” Journal of Composite Materials, vol. 50, no. 3, pp. 297–312, 2016. View at Publisher · View at Google Scholar · View at Scopus
  24. J. Ohser and K. Schladitz, 3D Images of Materials Structures: Processing and Analysis, Wiley-VCH, Weinheim, Germany, 2009.
  25. H. Shen, S. Nutt, and D. Hull, “Direct observation and measurement of fiber architecture in short fiber-polymer composite foam through micro-CT imaging,” Composites Science and Technology, vol. 64, no. 13-14, pp. 2113–2120, 2004. View at Publisher · View at Google Scholar · View at Scopus
  26. S. G. Advani and C. L. Tucker III, “The use of tensors to describe and predict fiber orientation in short fiber composites,” Journal of Rheology, vol. 31, article 751, 1987. View at Publisher · View at Google Scholar