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X-ray CT analysis of the evolution of ballast grain morphology along a Micro-Deval test: key role of the asperity scale

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Abstract

Ballast grains in railway tracks progressively wear due to the efforts exerted by the continuous passage of trains and the periodic maintenance operations. The initial sharp edges and vertices of the grains tend to become smoother and the surface texture is removed. This change in morphology plays a key role on the proper behaviour of the ballast layer and, consequently, on the frequency maintenance required on the track. The object of this paper is to improve the understanding of the wear process by tracking the morphology of a sample of grains submitted to an accelerated ageing using the Micro-Deval standard test. To this goal, X-ray Computed Tomography is used to scan a sample of grains at different states of wear and the resulting images are compared using 3D image analysis. A description of morphology evolution at different scales is provided using scalar parameters and spherical harmonic analysis, proving that the general form is not significantly changed during a standard Micro-Deval test. Thus a detailed analysis at the asperity level is performed, showing the key role of the edge broadening and vertex smoothing phenomena on ballast wear.

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References

  1. Ando, E.: Experimental investigation of microstructural changes in deforming granular media using X-ray tomography. Theses, Université de Grenoble (2013). https://tel.archives-ouvertes.fr/tel-01144326

  2. Azéma, E.: Numerical study of granular material composed by polyedric grains : quasi-static rheology, vibrationnal dynamic and application to tamping process. Theses, Université Montpellier II—Sciences et Techniques du Languedoc (2007). https://tel.archives-ouvertes.fr/tel-00184757

  3. Azéma, E., Radjai, F., Dubois, F.: Packings of irregular polyhedral particles: strength, structure, and effects of angularity. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 87(062203), 1–15 (2013). https://doi.org/10.1103/PhysRevE.87.062203

    Article  Google Scholar 

  4. Azéma, E., Radjai, F., Saussine, G.: Quasistatic rheology, force transmission and fabric properties of a packing of irregular polyhedral particles. Mech. Mater. 41(6), 729–741 (2009). https://doi.org/10.1016/j.mechmat.2009.01.021. (Advances in the dynamics of granular materials)

    Article  Google Scholar 

  5. Barksdale, R.D., Kemp, M.A., Sheffield, W.J., Hubbard, J.L.: Measurement of aggregate shape, surface area, and roughness. Transportation Research Record (1301) (1991)

  6. Bentley, J.L.: Multidimensional binary search trees used for associative searching. Commun. ACM 18(9), 509–517 (1975). https://doi.org/10.1145/361002.361007

    Article  MathSciNet  MATH  Google Scholar 

  7. Besl, P.J., McKay, N.D.: A method for registration of 3-d shapes. IEEE Trans. Pattern Anal. Mach. Intell. 14(2), 239–256 (1992). https://doi.org/10.1109/34.121791

    Article  Google Scholar 

  8. Quintanilla, I.D., Combe, G., Emeriault, F., Toni, J.-B., Voivret, C., Ferellec, J.F.: Wear of sharp aggregates in a rotating drum. EPJ Web Conf. 140 07009, (2017). https://doi.org/10.1051/epjconf/201714007009

    Article  Google Scholar 

  9. Domokos, G., Jerolmack, D.J., Sipos, A.Á., Török, Á.: How river rocks round: resolving the shape-size paradox. PLOS One 9(2), 1–7 (2014). https://doi.org/10.1371/journal.pone.0088657

    Article  Google Scholar 

  10. Ferellec, J.F., McDowell, G.: A simple method to create complex particle shapes for dem. Geomech. Geoeng. 3(3), 211–216 (2008). https://doi.org/10.1080/17486020802253992

    Article  Google Scholar 

  11. Garboczi, E.J.: Three-dimensional mathematical analysis of particle shape using X-ray tomography and spherical harmonics: application to aggregates used in concrete. Cem. Concr. Res. 32, 1621–1638 (2002)

    Article  Google Scholar 

  12. Garland, M., Heckbert, P.S.: Surface simplification using quadric error metrics. In: Proceedings of the 24th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH ’97, pp. 209–216. ACM Press/Addison-Wesley Publishing Co., New York, NY, USA (1997). https://doi.org/10.1145/258734.258849

  13. Goldman, R.: Curvature formulas for implicit curves and surfaces. Comput. Aided Geom. Des. 22(7), 632–658 (2005). https://doi.org/10.1016/j.cagd.2005.06.005. (Geometric Modelling and Differential Geometry)

    Article  MathSciNet  Google Scholar 

  14. Guennebaud, G., Gross, M.: Algebraic point set surfaces. ACM Trans. Gr. 26(3), 23–9 (2007)

    Article  Google Scholar 

  15. Hoppe, H.: New quadric metric for simplifying meshes with appearance attributes. In: Proceedings of the 10th IEEE Visualization 1999 Conference (VIS ’99), VISUALIZATION ’99. IEEE Computer Society, Washington, DC, USA (1999). http://dl.acm.org/citation.cfm?id=832273.834119

  16. Hsieh, J.: Computed Tomography: Principles, Design, Artifacts, and Recent Advances, 2nd edn., vol. PM188. SPIE Press Monograph (2009). https://doi.org/10.1117/3.817303

  17. Huttenlocher, D.P., Klanderman, G.A., Rucklidge, W.J.: Comparing images using the hausdorff distance. IEEE Trans. Pattern Anal. Mach. Intell. 15(9), 850–863 (1993). https://doi.org/10.1109/34.232073

    Article  Google Scholar 

  18. Indraratna, B., Ngo, N.T., Rujikiatkamjorn, C., Vinod, J.S.: Behavior of fresh and fouled railway ballast subjected to direct shear testing: discrete element simulation. Int. J. Geomech. 14(1), 34–44 (2014). https://doi.org/10.1061/(ASCE)GM.1943-5622.0000264

    Article  Google Scholar 

  19. Irazábal González, J.: Numerical analysis of railway ballast behaviour using discrete element method. Ph.D. thesis, Universitat Politècnica de Catalunya (2017). https://www.tesisenred.net/handle/10803/461536

  20. Kim, H., Haas, C., Rauch, A., Browne, C.: Wavelet-based three-dimensional descriptors of aggregate particles. J Transp. Res. Rec. 1787, 109–116 (2002)

    Article  Google Scholar 

  21. Kline, M.: Calculus: an intuitive and physical approach. Dover books on mathematics. Dover, New York (1998)

    Google Scholar 

  22. Krumbein, W.C.: Measurement and geological significance of shape and roundness of sedimentary particles. J Sediment. Res. 11(2), 64 (1941). https://doi.org/10.1306/D42690F3-2B26-11D7-8648000102C1865D

    Article  Google Scholar 

  23. Kutay, M.E., Ozturk, H.I., Abbas, A.R., Hu, C.: Comparison of 2d and 3d image-based aggregate morphological indices. Int. J. Pavement Eng. 12(4), 421–431 (2011). https://doi.org/10.1080/10298436.2011.575137

    Article  Google Scholar 

  24. Lecocq, C.: La dégradation du ballast. Memoire. Chaire de Contructions Civiles. Conservatoire National des Arts et Metiers (1985)

  25. Lim, W.L.: Mechanics of railway ballast behaviour. Ph.D. thesis, University of Nottingham (2004). http://eprints.nottingham.ac.uk/10060/

  26. Lu, M.: Discrete element modelling of railway ballast. Ph.D. thesis, University of Nottingham (2008). http://eprints.nottingham.ac.uk/10611/

  27. Lu, M., McDowell, G.R.: The importance of modelling ballast particle shape in the discrete element method. Granul. Matter 9(1), 69 (2006). https://doi.org/10.1007/s10035-006-0021-3

    Article  Google Scholar 

  28. Masad, E., Saadeh, S., Al-Rousan, T., Garboczi, E., Little, D.: Computations of particle surface characteristics using optical and X-ray CT images. Comput. Mater. Sci. 34(4), 406–424 (2005). https://doi.org/10.1016/j.commatsci.2005.01.010

    Article  Google Scholar 

  29. McDowell, G.R., Li, H.: Discrete element modelling of scaled railway ballast under triaxial conditions. Granul. Matter 18(3), 66 (2016). https://doi.org/10.1007/s10035-016-0663-8

    Article  Google Scholar 

  30. McDowell, G.R., Lim, W.L., Collop, A.C., Armitage, R., Thom, N.H.: Comparison of ballast index tests for railway trackbeds. In: Proceedings of the Institution of Civil Engineers—Geotechnical Engineering, vol. 157(3), pp. 151–161 (2004). https://doi.org/10.1680/geng.2004.157.3.151

    Article  Google Scholar 

  31. Mitchell, J., Soga, K.: Fundamentals of soil behavior. Wiley, New York (2005). https://books.google.fr/books?id=b_dRAAAAMAAJ

  32. NF EN 1097-1: Tests for mechanical and physical properties of aggregates—part 1. Determination of the resistance to wear (micro-deval). Standard, AFNOR (2011)

  33. NF EN 13450: Aggregates for railway ballast. Standard, AFNOR (2003)

  34. Ouhbi, N., Voivret, C., Perrin, G., Roux, J.N.: 3d particle shape modelling and optimization through proper orthogonal decomposition. Granul. Matter 19(4), 86 (2017). https://doi.org/10.1007/s10035-017-0771-0

    Article  Google Scholar 

  35. Quezada, J.C.: Mechanisms of ballast settlement and its variability. Theses, Université Montpellier II—-Sciences et Techniques du Languedoc (2012). https://tel.archives-ouvertes.fr/tel-01067945

  36. Saint-Cyr, B., Szarf, K., Voivret, C., Azéma, E., Richefeu, V., Delenne, J.Y., Combe, G., Nouguier-Lehon, C., Villard, P., Sornay, P., Chaze, M., Radjai, F.: Particle shape dependence in 2d granular media. Europhys. Lett. (EPL) 98(4), 44008 (2012)

    Article  ADS  Google Scholar 

  37. Saussine, G.: Contribution for the modelling of three-dimensional granular matter : study of railway ballast. Theses, Université Montpellier II—Sciences et Techniques du Languedoc (2004). https://tel.archives-ouvertes.fr/tel-00077519

  38. Selig, E.T., Waters, J.M.: Track Geotechnology and Substructure Management. Thomas Telford Publishing (1994). https://doi.org/10.1680/tgasm.20139

  39. Voivret, C., Nhu, V.H., Perales, R.: Discrete element method simulation as a key tool towards performance design of ballasted tracks. Int. J. Railw. Technol. 5, 83–98 (2016)

    Article  Google Scholar 

  40. Voivret, C., Perales, R., Saussine, G.: Ballasted track maintenance with a multi-unit tamping machine: A numerical discrete efficiency comparison. In: Proceedings of the Second International Conference on Railway Technology: Research, Development and Maintenance, 53. Civil-Comp Press (2014)

  41. Wang, L., Park, J.Y., Fu, Y.: Representation of real particles for dem simulation using X-ray tomography. Constr. Build. Mater. 21(2), 338–346 (2007). https://doi.org/10.1016/j.conbuildmat.2005.08.013

    Article  Google Scholar 

  42. Wang, L.B., Frost, J.D., Lai, J.S.: Three-dimensional digital representation of granular material microstructure from X-ray tomography imaging. J. Comput. Civil Eng. 18(1), 28–35 (2004)

    Article  Google Scholar 

  43. Zingg, T.: Beitrag zur schotteranalyse. Ph.D. thesis, ETH Zurich (1935). https://doi.org/10.3929/ethz-a-000103455. SA aus: Schweizerische mineralogische und petrographische Mitteilungen, Band 15, 1935, S.39-140. Diss. Naturwiss. ETH Zürich, Nr. 849, 1935 (Ref.: Niggli, P. ; Korref.: Burri, C)

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Acknowledgements

This work has been supported by the Lines, Track and Environment Department in Engineering and Projects of SNCF-Réseau and by the Laboratoire 3SR. Laboratoire 3SR is part of the LabEx Tec 21 (Investissements d’Avenir Grant Agreement Number ANR-11-LABX-0030).

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Correspondence to Ivan Deiros Quintanilla.

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Deiros Quintanilla, I., Combe, G., Emeriault, F. et al. X-ray CT analysis of the evolution of ballast grain morphology along a Micro-Deval test: key role of the asperity scale. Granular Matter 21, 30 (2019). https://doi.org/10.1007/s10035-019-0881-y

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