Application of mesh-free smoothed particle hydrodynamics (SPH) for study of soil behavior

- Journal title : Geomechanics and Engineering
- Volume 11, Issue 1, 2016, pp.1-39
- Publisher : Techno-Press
- DOI : 10.12989/gae.2016.11.1.001

Title & Authors

Application of mesh-free smoothed particle hydrodynamics (SPH) for study of soil behavior

Niroumand, Hamed; Mehrizi, Mohammad Emad Mahmoudi; Saaly, Maryam;

Niroumand, Hamed; Mehrizi, Mohammad Emad Mahmoudi; Saaly, Maryam;

Abstract

The finite element method (FEM), discrete element method (DEM), and Discontinuous deformation analysis (DDA) are among the standard numerical techniques applied in computational geo-mechanics. However, in some cases there no possibility for modelling by traditional finite analytical techniques or other mesh-based techniques. The solution presented in the current study as a completely Lagrangian and mesh-free technique is smoothed particle hydrodynamics (SPH). This method was basically applied for simulation of fluid flow by dividing the fluid into several particles. However, several researchers attempted to simulate soil-water interaction, landslides, and failure of soil by SPH method. In fact, this method is able to deal with behavior and interaction of different states of materials (liquid and solid) and multiphase soil models and their large deformations. Soil indicates different behaviors when interacting with water, structure, instrumentations, or different layers. Thus, study into these interactions using the mesh based grids has been facilitated by mesh-less SPH technique in this work. It has been revealed that the fast development, computational sophistication, and emerge of mesh-less particle modeling techniques offer solutions for problems which are not modeled by the traditional mesh-based techniques. Also it has been found that the smoothed particle hydrodynamic provides advanced techniques for simulation of soil materials as compared to the current traditional numerical methods. Besides, findings indicate that the advantages of applying this method are its high power, simplicity of concept, relative simplicity in combination of modern physics, and particularly its potential in study of large deformations and failures.

Keywords

SPH (smoothed particle hydrodynamics);mesh-free methods;numerical modelling;soil;interaction;large deformation;failure;

Language

English

References

1.

Atluri, S.N. and Zhu, T. (1998), "A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics", Computat. Mech., 22(2), 117-127.

2.

Belytschko, T., Lu, Y.Y. and Gu, L. (1994), "Element-free Galerkin methods", Int. J. Numer. Meth. Eng., 37(2), 229-256.

3.

Beuth, L., Wieckowski, Z. and Vermeer, P.A. (2011), "Solution of quasi-static large-strain problems by the material point method", Int. J. Numer. Anal. Method. Geomech., 35(13), 1451-1456.

4.

Bojanowski, C. (2014), "Numerical modeling of large deformations in soil structure interaction problems using FE, EFG, SPH, and MM-ALE formulations", Arch. Appl. Mech., 84(5), 743-755.

5.

Bui, H.H. and Fukagawa, R. (2013), "An improvement of SPH for saturated soils and its application to investigate the mechanisms of embankment failure: Case of hydrostatic pore-water pressure", Int. J. Numer. Anal. Method. Geomech., 37(1), 31-50.

6.

Bui, H.H., Sako, K. and Fukagawa, R. (2007), "Numerical simulation of soil-water interaction using smoothed particle hydrodynamics (SPH) method", J. Terramech., 44(5), 339-346.

7.

Bui, H.H., Sako, K., Fukagawa, R. and Wells, J.C. (2008a), "SPH-based numerical simulations for large deformation of geomaterial considering soil-structure interaction", Proceedings of the 12th International Conference of Computer Methods and Advances in Geomechanics, Goa, India, October, pp. 570-578.

8.

Bui, H.H., Sako, K., Satomi, T. and Fukagawa, R. (2008b), "Numerical simulation of slope failure for mitigation of rainfall induced slope disaster of an important cultural heritage", J. Disaster Mitigat. Cultural Heritage Historic Cities, 7, 111-118.

9.

Bui, H.H., Kodikara, J.A., Pathegama, R., Bouazza, A. and Haque, A. (2013), "Large deformation and postfailure simulations of segmental retaining walls using mesh-free method (SPH)", Proceedings of the 18th International Conference on Soil Mechanics and Geotechnical Engineering, Paris, France, September, pp. 687-690.

10.

Bui, H.H., Kodikara, J.A., Bouazza, A., Haque, A. and Pathegama, R. (2014), "A novel computational approach for large deformation and post-failure analyses of segmental retaining wall systems", Int. J. Numer. Anal. Method. Geomech., 38(13), 1321-1340.

11.

Cascini, L., Cuomo, S., Pastor, M., Sorbino, G. and Piciullo, L. (2014), "SPH run-out modelling of channelised landslides of the flow type", Geomorphology, 214, 502-513.

12.

Cundall, P.A. and Struck, O.D.L. (1979), "A discrete numerical model for granular assemblies", Geotechnique, 29(1), 47-65.

13.

Cuomo, S., Prime, N., Iannone, A., Dufour, F., Cascini, L. and Darve, F. (2013), "Large deformation FEMLIP drained analysis of a vertical cut", Acta Geotechnica., 8(2), 125-136.

14.

Dakssa, L.M. and Harahap, I.S.H. (2012), "A preliminary meshfree numerical approach to inducing runoff along saturated soil slope", Universiti Teknologi Petronas, Perak, Malaysia.

15.

Dakssa, L.M. and Harahap, I.S.H. (2013), "Simulating runoff along soil slope using smoothed particle hydrodynamics method and comparison with standard empirical formula", Proceedings of Business Engineering and Industrial Applications Colloquium (BEIAC), 2013 IEEE, Langkawi, Malaysia, April, pp. 662-667.

16.

Das, R. and Cleary, P.W. (2013), "A mesh-free approach for fracture modelling of gravity dams under earthquake", Int. J. Fracture, 179(2), 9-33.

17.

Dong, A., Ma, G., Gong, Q. and Zhao, J. (2006), "Numerical simulation on rock cutter performance in mixed ground", Soil Rock Behavior Model., 199-204.

18.

El-Gindy, M., Lescoe, R. and Oijer, F., Johansson, I. and Trivedi, M. (2011), "Soil modeling using FEA and SPH techniques for a tire-soil interaction", Proceedings of the 13th International Conference on Advanced Vehicle and Tire Technologies, Washington, DC, USA, August, pp. 793-802.

19.

Fredj, A. and Dinovitzer, A. (2010a), "Three-dimensional response of buried pipelines subjected to large soil deformation effects - Part I: 3D continuum modeling using ALE and SPH formulations", Proceedings of the 8th International Pipeline Conference, Calgary, AB, Canada, September-October, pp. 747-757.

20.

Fredj, A. and Dinovitzer, A. (2010b), "Three-dimensional response of buried pipelines subjected to large soil deformation effects - Part II: Effects of the soil restraint on the response of pipe/soil systems", Proceedings of the 8th International Pipeline Conference, Calgary, AB, Canada, September-October, pp. 759-767.

21.

Fredj, A. and Dinovitzer, A. (2012), "Simulation of the response of buried pipelines to slope movement using 3D continuum modeling", Proceedings of the 9th International Pipeline Conference, IPC2012, Calgary, AB, Canada, September, pp. 287-295.

22.

Gao, J. and Jin, Y. (2011), "Soil-cutting simulation and test of oblique rotary tiller", Proceedings of the 5th IFIP TC 5/SIG 5.1 Conference, CCTA 2011, Beijing, China, October, pp. 140-150.

23.

Gingold, R.A. and Monaghan, J.J. (1977), "Smoothed particle hydrodynamics: Theory and application to nonspherical stars", Month. Notices Royal Astronom. Soc., 181(3), 375-389.

24.

Harlow, F.H., Ellison, M.A. and Reid, J.H. (1964), "The particle-in-cell computing method for fluid dynamics", Meth. Comput. Phys., 3(3), 319-343.

25.

Huang, Y. and Dai, Z.L. (2013), "Large deformation and failure simulations for geo-disasters using smoothed particle hydrodynamics method", Eng. Geol., 168, 86-97.

26.

Huang, Y., Zhang, W.J., Xu, Q., Xie, P. and Hao, L. (2008), "Run-out analysis of flow-like landslide triggered by the Ms 8.0 2008Wenchuan earthquake using smoothed particle hydrodynamics", Landslides, 9(2), 275-283.

27.

Huang, Y., Zhang, W.J., Dai, Z.L. and Xu, Q. (2013), "Numerical simulation of flow processes in liquefied soils using a soil-water-coupled smoothed particle hydrodynamics method", Natural Hazards, 69(1), 809-827.

28.

Lenaerts, T. and Dutre, P. (2009), "Mixing fluids and granular materials", In: Computer Graphics Forum, Proceedings of Eurographics, 28(2), 213-218.

29.

Lescoe, R. (2010), "Improvement of soil modeling in a tire-soil interaction using finite element analysis and smooth particle hydrodynamics", The Pennsylvania State University, Department of Mechanical Engineering, State College, PA, USA.

30.

Lescoe, R., El-Gindy, M., Koudela, K., Oijer, F., Trivedi, M. and Johansson, I. (2010), "Tire-soil modeling using finite element analysis and smooth particle hydrodynamics techniques", Proceedings of the ASME 2010 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Montreal, QC, Canada, August, pp. 3-18.

31.

Lu, Y., Wang, Z.Q. and Chong, K. (2005), "A comparative study of buried structure in soil subjected to blast load using 2D and 3D numerical simulations", Soil Dyn. Earthq. Eng., 25(4), 275-288.

32.

Lucy, L. (1977), "A numerical approach to testing the fission hypothesis", Astronom. J., 82(12), 1013-1024.

33.

Mabssout, M. and Herreros, M.I. (2012), "Runge-Kutta vs Taylor-SPH: Two time integration schemes for SPH with application to Soil Dynamics", Appl. Math. Model., 37(5), 3541-3563.

34.

Murakami, A., Setsuyasu, T. and Arimoto, S. (2005), "Mesh-free method for soil-water coupled problem within finite strain and its numerical validity", Soil. Found., 45(2), 145-154.

35.

Nguyen, C.T., Bui, H.H. and Fukagawa, R. (2013), "Two-dimensional numerical modelling of modular block soil retaining walls collapse using meshfree method", Int. J. Geomater., 5(1), 647-652.

36.

Onate, E. and Idelsohn, S. (1998), "A mesh free finite point method for advective-diffusive transport and fluid flow problems", Computat. Mech.., 21(4-5), 283-192.

37.

Pang, H., Wang, Y., Tang, Y. and Huang, H. (2012), "Soil variable analysis of spiral pile-driven process simulation", Appl. Mech. Mater., 377-382.

38.

Pastor, M., Haddad, B., Sorbino, G., Cuomo, S. and Drempetic, V. (2008a), "A depth-integrated, coupled SPH model for flow-like landslides and related phenomena", Int. J. Numer. Anal. Method. Geomech., 33(2), 143-172.

39.

Pastor, M., Herreros, I., Fernandez Merodo, J.A., Mira, P., Haddad, B., Quecedo, M., Gonzalez, E., Alvarez-Cedron, C. and Drempetic, V. (2008b), "Modelling of fast catastrophic landslides and impulse waves induced by them in fjords, lakes and reservoirs", J. Eng. Geol., 109(2), 124-134.

40.

Pastor, M., Blanc, T., Martin Stickle, M., Dutto, P., Mira, P., Fernandez Merodo, J.A., Sancho, S. and Benitez, A.S. (2013a), "Modelling of landslide propagation: A SPH approach", (E. Alonso, J. Corominas, M. Hurlimann Eds.), International Center for Numerical Methods in Engineering (CIMNE), Barcelona, Spain, June, pp. 152-179.

41.

Pastor, M., Martin Stickle, M., Dutto, P., Mira, P., Fernandez Merodo, J.A., Blanc, T., Sancho, S. and Benitez, A.S. (2013b), "A viscoplastic approach to the behaviour of fluidized geomaterials with application to fast landslides", Continuum. Mech., 27(2), 21-47.

42.

Sakai, H., Maeda, K. and Imase, T. (2009), "Erosion and seepage failure analysis of ground with evolution of bubbles using SPH", Prediction and Simulation Methods for Geohazard Mitigation, Nagoya, Japan.

43.

Sanchez, M.E., Pastor, M. and Romana, M.G. (2013), "Modelling of short runout propagation landslides and debris flows", Georisk: Assess. Manag. Risk Eng. Syst. Geohazard., 7(4), 250-266.

44.

Shi, G.H. (1988), "Discontinuous deformation analysis: a new numerical model for the static and dynamics of block systems", Ph.D. Thesis; University of California, Berkeley, CA, USA.

45.

Stefanova, B., Seitz, K., Bubel, J. and Grabe, J. (2012), "Water-soil interaction simulation using smoothed particle hydrodynamics", ICSE6 Paris, Paris, France, August, pp. 695-704.

46.

Sulsky, D., Chen, Z. and Schreyer, H.L. (1994), "A particle method for history-dependent materials", Comput. Method. Appl. Mech. Eng., 118(2), 179-196.

47.

Ulrich, C., Bednarek, S. and Rung, T. (2011), "Multiphysics SPH simulations with local particle coarsening", Proceedings of the ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering, Rotterdam, The Netherlands, June, pp. 137-147.

48.

Wang, J. and Chan, D. (2014), "Frictional contact algorithms in SPH for the simulation of soil-structure interaction", Int. J. Numer. Anal. Meter., 38(7), 747-770.

49.

Wang, Z.Q., Lu, Y., Hao, H. and Chong, K. (2004), "A full coupled numerical analysis approach for buried structures subjected to subsurface blast", Comput. Struct., 83(4-5), 339-356.

50.

Wang, J., Hua, H. and Gu, C.S. (2013a), "On the correction of the boundary deficiency in SPH for the frictional contact simulation", (C) Science China Press and Springer-Verlag Berlin Heidelberg, Germany.

51.

Wang, J., Wu, H., Gu, C.S. and Hua, H. (2013b), "Simulating frictional contact in smoothed particle hydrodynamics", Sci. China Tech. Sci., 56(7), 1779-1789.

52.

Xu, J.X. and Liu, X.L. (2008), "Analysis of structural response under blast loads using the coupled SPH-FEM approach", J. Zhejiang Univ. Sci., 9(9), 1184-1192.

53.

Zhang, W.J. and Maeda, K. (2014), "The model test and SPH simulations for slope and levee failure under heavy rainfall considering the coupling of soil, water and air", Proceedings of Soil Behavior and Geomechanics Geo-Shanghai 2014, Shanghai, China, May, pp. 538-547.

54.

Zhong, J., Zhang, X., Jiang, J. and Zhao, Z. (2012), "Analysis of 3-D numerical simulation for soil cutting by small agricultural machinery", Adv. Mater. Res., 433-440.