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Mechanical interpretation of dry granular masses impacting on rigid obstacles

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Abstract

The evaluation of impact forces exerted by flowing granular masses on rigid obstacles is of fundamental importance for the assessment of the associated risk and for the design of protection measures. Empirical formulae are available in the literature estimating the maximum impact force; most of them are based on over-simplifying hypotheses about the behaviour of the granular material. For practical applications, formulations based on either hydrodynamic or elastic body models are often employed. These formulations require the use of empirical correcting factors. In this paper, the same DEM method is used to investigate the relationship between the evolution with time of the impact force and the micromechanics of the granular mass. In fact, considering the dynamic nature of impacts, the impulse value is fundamental for the dynamic response of the barrier, and the mere information about the maximum impact force is not sufficient to design protection works, or assess the vulnerability of structures. Information about contact forces and particle velocities will be discussed and critically compared with macroscopic results. In order to progressively introduce the complexity of the impact phenomenon, four geometrical and mechanical conditions are considered: (a) vertical front, confined flow, bonded material; (b) vertical front, confined flow, purely frictional material; (c) vertical front, free surface flow, purely frictional material; (d) inclined front, free surface flow, purely frictional material.

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References

  1. Albaba A, Lambert S, Faug T (2017) Dry granular avalanche impact force on a rigid wall of semi-infinite height. In: EPJ web of conferences, vol 140. EDP Science, p 03054

  2. Ahmadipur A, Qiu T (2018) Impact force to a rigid obstruction from a granular mass sliding down a smooth incline. Acta Geotech 13(6):1433–1450

    Article  Google Scholar 

  3. Arattano M, Franzi L (2003) On the evaluation of debris flows dynamics by means of mathematical models. Nat Hazards Earth Syst Sci 3(6):539–544

    Article  Google Scholar 

  4. Armanini A (1997) On the dynamic impact of debris flows. In: Recent developments on debris flows. Springer, Berlin, pp 208–226. https://doi.org/10.1007/BFb0117757

    Chapter  Google Scholar 

  5. Bugnion L, McArdell BW, Bartelt P, Wendeler C (2012) Measurements of hillslope debris flow impact pressure on obstacles. Landslides 9(2):179–187

    Article  Google Scholar 

  6. Calvetti F (2008) Discrete modelling of granular materials and geotechnical problems. Eur J Environ Civ Eng 12(7–8):951–965

    Article  Google Scholar 

  7. Calvetti F, di Prisco C, Vairaktaris E (2017) DEM assessment of impact forces of dry granular masses on rigid barriers. Acta Geotech 12(1):129–144

    Article  Google Scholar 

  8. Calvetti F, di Prisco C, Vairaktaris E (2016a) Debris flow impact forces on rigid barriers: existing practice versus DEM numerical results. In: Proceedings of ICONHIC 2016, Chania, p 1–14

  9. Calvetti F, di Prisco C, Vairaktaris E (2016b) Dry granular flows impacts on rigid obstacles: DEM evaluation of a design formula for the impact force. In: Proceedings of 6th Italian conference of researchers in geotechnical engineering, Bologna, p 290–295

  10. Ceccato F, Simonini P, di Prisco C, Redaelli I (2017) The effect of the front inclination on the impact forces transmitted by granular flows to rigid structures. In: Proceedings 4th world landslide forum, Ljubljana, p 593–600

  11. Ceccato F, Redaelli I, di Prisco C, Simonini P (2018) Impact forces of granular flows on rigid structures: comparison between discontinuous (DEM) and continuous (MPM) numerical approaches. Comput Geotachnics 103:201–217. https://doi.org/10.1016/j.compgeo.2018.07.014

    Article  Google Scholar 

  12. Cundall PA, Strack OD (1979) A discrete numerical model for granular assemblies. Geotechnique 29(1):47–65

    Article  Google Scholar 

  13. De Blasio FV (2011) Introduction to the physics of landslides. Springer, Berlin

    Book  Google Scholar 

  14. Dok L (2000) Review of natural terrain landslide debris-resting barrier design, Geotechnical Engineering Office. Geo Report No. 104. Civil Engineering Department: Government of the Hong Kong Special Administrative Region

  15. Hong Y, Wang JP, Li DQ, Cao ZJ, Cui P (2015) Statistical and probabilistic analyses of impact pressure and discharge of debris flow from 139 events during 1961 and 2000 at Jiangjia Ravine, China. Eng Geol 187:122–134

    Article  Google Scholar 

  16. Huang HP, Yang KC, Lai SW (2007) Impact force of debris flow on filter dam. In: Geophysical research abstracts, vol 9, p 03218. https://gra103.aca.ntu.edu.tw/gdoc/96/D91622005a.pdf. Accessed 2 May 2013

  17. Hübl J, Suda J, Proske D, Kaitna R, Scheidl C (2009) Debris flow impact estimation. In: Proceedings of the 11th international symposium on water management and hydraulic engineering, Ohrid, Macedonia 1:137–148

  18. Ishikawa N, Inoue R, Hayashi K, Hasegawa Y, Mizuyama T (2008) Experimental approach on measurement of impulsive fluid force using debris flow model. In: Conference proceedings interpraevent, vol 8

  19. Itasca (2011) PFC3D, theory and background. Itasca, Minneapolis

    Google Scholar 

  20. Jóhannesson T, Gauer P, Issler P, Lied K, Hákonardóttir KM (2009) The design of avalanche protection dams: recent practical and theoretical developments. European Commission, Climate Change Research-Series 2 Project report, EUR 23339

  21. Kwan JSH (2012) Supplementary technical guidance on design of rigid debris-resisting barriers. Geotechnical Engineering Office, HKSAR. GEO Report, (270)

  22. Li X, Zhao J (2018) A unified CFD-DEM approach for modeling of debris flow impacts on flexible barriers. Int J Numer Anal Methods Geomech 1:2–3. https://doi.org/10.1002/nag.2806

    Article  Google Scholar 

  23. Neto AHF, Borja RI (2018) Continuum hydrodynamics of dry granular flows employing multiplicative elastoplasticity. Acta Geotech 13(5):1027–1104

    Article  Google Scholar 

  24. Prochaska AB, Santi PM, Higgins JD, Cannon SH (2008) A study of methods to estimate debris flow velocity. Landslides 5(4):431–444

    Article  Google Scholar 

  25. Redaelli I, di Prisco C, Vescovi D (2016) A visco-elasto-plastic model for granular materials under simple shear conditions. Int J Numer Anal Meth Geomech 40(1):80–104

    Article  Google Scholar 

  26. Rickenmann D (1999) Empirical relationships for debris flows. Nat Hazards 19(1):47–77

    Article  Google Scholar 

  27. Scotton P, Deganutti AM (1997) Phreatic line and dynamic impact in laboratory debris flow experiments. In: Debris-flow hazards mitigation: mechanics, prediction, and assessment ASCE, 777–786

  28. Suda J, Hübl J, Bergmeister K (2010) Design and construction of high stressed concrete structures as protection works for torrent control in the Austrian Alps. In: Proceedings of the 3rd fib international congress, Washington, USA, p 1–8

  29. Shen W, Zhao T, Zhao J, Dai F, Zhou GG (2018) Quantifying the impact of dry debris flow against a rigid barrier by DEM analyses. Eng Geol 241:86–96

    Article  Google Scholar 

  30. Teufelsbauer H, Wang Y, Pudasaini SP, Borja RI, Wu W (2011) DEM simulation of impact force exerted by granular flow on rigid structures. Acta Geotech 6(3):119

    Article  Google Scholar 

  31. Zhang S (1993) A comprehensive approach to the observation and prevention of debris flows in China. Nat Hazards 7(1):1–23

    Article  MathSciNet  Google Scholar 

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Acknowledgements

Irene Redaelli is supported by a fellowship from Fondazione Cariplo, Grant no. 2016-0769.

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Authors and Affiliations

  1. Politecnico di Milano, Milan, Italy

    Francesco Calvetti, Claudio di Prisco, Irene Redaelli & Anna Sganzerla

  2. National Technical University of Athens, Athens, Greece

    Emmanouil Vairaktaris

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  1. Francesco Calvetti
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  2. Claudio di Prisco
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  3. Irene Redaelli
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  4. Anna Sganzerla
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  5. Emmanouil Vairaktaris
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Correspondence to Irene Redaelli.

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Calvetti, F., di Prisco, C., Redaelli, I. et al. Mechanical interpretation of dry granular masses impacting on rigid obstacles. Acta Geotech. 14, 1289–1305 (2019). https://doi.org/10.1007/s11440-019-00831-9

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  • DOI: https://doi.org/10.1007/s11440-019-00831-9

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