Skip to main content
Log in

A fractal-based approach for the determination of concrete surfaces using laser scanning techniques: a comparison of two different measuring systems

  • Original Article
  • Published:
Materials and Structures Aims and scope Submit manuscript

Abstract

The aim of this study is to determine and compare surface parameters at the meso level of concrete fractured surfaces using two different laser scanning systems. One of the laser scanning systems is the cost-efficient system DAVID 3D; the other one is the high-end system LEICA T-Scan. By means of these two systems the following surface parameters were determined: the minimum distance between two points, the number of points, the roughness and the fractal dimension. A calculation routine in Matlab© was developed to estimate numerically the fractal dimension with a modified method. A major finding of this study is the suitability of the DAVID 3D system for scanning fractured concrete surfaces at the meso-level (1–100 mm). If a higher resolution is needed the LEICA system is preferable due to its ability to measure a higher number of points within a given area.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  1. Wittmann FH (ed) (1983) Fracture mechanics of concrete. Elsevier, Amsterdam

    Google Scholar 

  2. Carpinteri A (1999) Three-dimensional fractal analysis of concrete fracture at the meso-level. Theor Appl Fract Mech 31:163–172

    Article  Google Scholar 

  3. Issa M (2003) Fractal dimension—a measure of fracture roughness and toughness of concrete. Eng Fract Mech 70:125–137

    Article  MathSciNet  Google Scholar 

  4. Lange DA, Jennings HM, Shah SP (1993) Relationship between fracture surface roughness and fracture behavior of cement paste and mortar. J Am Ceram Soc 76:589–597

    Article  Google Scholar 

  5. Mechtcherine V (2009) Fracture mechanical behavior of concrete and the condition of its fracture surface. Cem Concr Res 39:620–628

    Article  Google Scholar 

  6. Wu K (2000) Reconstruction and analysis of 3-D profile of fracture surface of concrete. Cem Concr Res 30:981–987

    Article  Google Scholar 

  7. Mandelbrot BB (1987) Die fraktale Geometrie der Natur. Akademie-Verlag, Berlin

    MATH  Google Scholar 

  8. Luhmann T, Robson S, Kyle S, Harley I (2007) Close range photogrammetry: principles, techniques and applications. Wiley, New York

    Google Scholar 

  9. Kraus K, Harley I (2007) Photogrammetry. Geometry from images and laser scans. de Gruyter, Berlin

    Book  Google Scholar 

  10. Vosselman G, Maas H-G (2010) Airborne and terrestrial laser scanning. Whittles Publishing u.a., Dunbeath

    Google Scholar 

  11. Yan A, Wu K-R, Zhang D, Yao W (2001) Effect of fracture path on the fracture energy of high-strength concrete. Cem Concr Res 31:1601–1606

    Article  Google Scholar 

  12. RILEM (1985) Determination of the fracture energy of mortar and concrete by means of three-point bend tests on notched beams. Mater Struct 18:287–290

    Article  Google Scholar 

  13. DAVID Vision Systems GmbH. www.DAVID-laserscanner.com. Accessed 1 June 2011

  14. Leica T-Scan—Leica T-Scan TS50-A Hochgeschwindigkeits-Scanner. Leica Geosystems, Deutschland. http://www.leica-geosystems.de/de/Leica-T-Scan_1836.htm. Accessed 1 June 2011

  15. Deutsches Institut für Normung (2009) Prüfung von Festbeton. Beuth, Berlin

  16. Winkelbach S, Molkenstruck S, Wahl F (2006) Low-cost laser range scanner and fast surface registration approach. In: Franke K, Müller K-R, Nickolay B, Schäfer R (eds) Pattern recognition. 28th DAGM symposium, Berlin, Germany, September 12–14, 2006, proceedings. Springer, Berlin

  17. Drixler E (1993) Analyse der Form und Lage von Objekten im Raum. Beck, München

    Google Scholar 

  18. Piegl L, Tiller W (1997) The NURBS book. With 334 figures in 578 parts. Springer, Berlin

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Steve Werner.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Werner, S., Neumann, I., Thienel, KC. et al. A fractal-based approach for the determination of concrete surfaces using laser scanning techniques: a comparison of two different measuring systems. Mater Struct 46, 245–254 (2013). https://doi.org/10.1617/s11527-012-9898-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1617/s11527-012-9898-y

Keywords

Navigation