A saturated discrete particle model and characteristic-based SPH method in granular materials

International Journal for Numerical Methods in Engineering

Volumn 72, Issue 7, 2007, Pages 858-882

  Li, Xikui ^a   Chu, Xihua ^a   Sheng, D C ^b  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Characteristics; Discrete particle method; Flud solid interaction; Granular materials; Smoothed particle hydrodynamics

Indexed keywords

COMPUTATIONAL METHODS; DEFORMATION; FLOW OF FLUIDS; FLUID STRUCTURE INTERACTION; HYDRODYNAMICS; MATHEMATICAL MODELS; NUMERICAL METHODS;

DISCRETE PARTICLE METHOD; FLUID-SOLID INTERACTION; PORE FLUID FLOWS; SMOOTHED PARTICLE HYDRODYNAMICS;

GRANULAR MATERIALS;

COMPUTATIONAL METHODS; DEFORMATION; FLOW OF FLUIDS; FLUID STRUCTURE INTERACTION; GRANULAR MATERIALS; HYDRODYNAMICS; MATHEMATICAL MODELS; NUMERICAL METHODS;

EID: 35448930306     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2037     Document Type: Article

References (35)

1. Cundall PA, Strack ODL. A discrete numerical model for granular assemblies. Geotechnique 1979; 29:47-65.
2. Oda M, Konishi J, Nemat-Nasser S. Experimental micromechanical evaluation of strength of granular materials: effects of particular rolling. Mechanics of Materials 1982; 1:269-283.
3. Thornton C. Interparticle sliding in the presence of adhesion. Journal of Physics D: Applied Physics 1991; 24:1942-1946.
4. Elperin T, Golshtein E. Comparison of different models for tangential forces using the particle dynamics method. Physica A 1997; 242:332-340.
5. Iwashita K, Oda M. Rolling resistance at contacts in simulation of shear and development by DEM. Journal of Engineering Mechanics 1998; 124:285-292.
6. Oda M, Iwashita K. Mechanics of Granular Materials. Balkema: Rotterdam, 1999.
7. Bardet JP. Observations on the effects of particle rotations on the failure of idealized granular materials. Mechanics of Materials 1994; 18:159-182.
8. Zhang D, Whiten WJ. An efficient calculation method for particle motion in discrete element simulations. Powder Technology 1998; 98:223-230.
9. Zhang D, Whiten WJ. A new calculation method for particle motion in tangential direction in discrete simulations. Powder Technology 1999; 102:235-243.
10. Zhou YC, Wright BD, Yang RY, Xu BH, Yu AB. Rolling friction in the dynamic simulation of sandpile formation. Physica A 1999; 269:536-553.
11. Vu-Quoc L, Zhang X. An elastoplastic contact force-displacement model in the normal direction: displacement-driven version. Proceedings of the Royal Society of London, Series A 1999; 455:4013-4044.
12. Vu-Quoc L, Zhang X, Lesburg L. Normal and tangential force-displacement relations for frictional elasto-plastic contact of spheres. International Journal of Solids and Structures 2001; 38:6455-6489.
13. Feng YT, Han K, Owen DRJ. Some computational issues numerical simulation of particulate systems. Fifth World Congress on Computational Mechanics, Vienna, Austria, 2002.
14. Li X, Chu X, Feng YT. A discrete particle model and numerical modeling of the failure modes of granular materials. Engineering Computations 2005; 22(8):894-920.
15. Newitt DM, Conway-Jones JM. A contribution to the theory and practice of granulation. Transactions of the Institution of Chemical Engineers 1958; 36:422-441.
16. Mikami T, Kamiya H, Horio M. Numerical simulation of cohesive powder behavior in a fluidized bed. Chemical Engineering Science 1998; 53(10):1927-1940.
17. Lian G, Thornton C, Adams MJ. A theoretical study of the liquid bridge forces between two rigid spherical bodies. Journal of Colloid and Interface Science 1993; 161:138-147.
18. Liu SH, Sun DA. Simulating the collapse of unsaturated soil by DEM. International Journal for Numerical and Analytical Methods in Geomechanics 2002; 26:633-646.
19. Liu SH, Sun DA, Wang Y. Numerical study of soil collapse behavior by discrete element modeling. Computers and Geotechnics 2003; 30:399-408.
20. Anderson T, Jackson R. A fluid mechanical description of fluidized beds: equation of motion. Industrial Engineering Chemical Fundamentals 1967; 6(4):527-539.
21. Tsuji Y, Kawaguchi T, Tanaka T. Discrete particle simulation of two-dimensional fluidized bed. Powder Technology 1993; 77:79-87.
22. Gera D, Gautam M, Tsuji Y, Kawaguchi T, Tanaka T. Computer simulation of bubbles in large-particle fluidized beds. Powder Technology 1998; 98:38-47.
23. Zhu Y, Morris JP, Fox PJ. A pore-scale numerical model for flow through porous media. International Journal for Numerical and Analytical Methods in Geomechanics 1999; 23:881-904.
24. Shamy UE, Zeghal M. Coupled continuum-discrete model for saturated granular soils. Journal of Engineering Mechanics (ASCE) 2005; 131(4):413-426.
25. Zeghal M, Shamy UE. A continuum-discrete hydromechanical analysis of granular deposit liquefaction. International Journal for Numerical and Analytical Methods in Geomechanics 2004; 28:1361-1383.
26. Zienkiewicz OC, Shiomi T. Dynamic behavior of saturated porous media: the generalized Biot formulation and its numerical solution. International Journal for Numerical and Analytical Methods in Geomechanics 1984; 8(1):71-96.
27. Indraratna B, Ranjith PG, Gale W. Single phase water flow through rock fractures. Geotechnical and Geological Engineering 1999; 17:211-240.
28. Jensen RP, Preece DS. Modeling sand production with Darcy-flow coupled with discrete elements. In Computer Methods and Advances in Geomechanics, Desai CS (ed.). Balkema: Rotterdam, 2001; 819-822.
29. Potapov AV, Hunt ML, Campbell CS. Liquid-solid flows using smoothed particle hydrodynamics and the discrete element method. Powder Technology 2001; 116:204-213.
30. Morris JP, Fox PJ, Zhu Y. Modeling low Reynolds number incompressible flows using SPH. Journal of Computational Physics 1997; 136:214-226.
31. Monaghon JJ. Smoothed particle hydrodynamics. Annual Review of Astronomy and Astrophysics 1992; 30: 543-574.
32. Zienkiewicz OC, Taylor RL. The Finite Element Method (5th edn). Butterworth-Heinemann: Stoneham, MA, 2000.
33. Peyret R, Taylor TD. Computational Methods for Fluid Flow. Springer Series in Computational Physics. Springer: New York, Berlin, Heidelberg, 1983.
34. Zhu Y, Fox PJ, Morris JP. Smoothed particle hydrodynamics model for flow through porous media. Computer Methods and Advances in Geomechanics, Yuan JX (ed.). Balkema: Rotterdam, 1997; 1041-1046.
35. Shao SD, Lo EYM. Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface. Advances in Water Resources 2003; 26:787-800.