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Coupled DEM-FEM Analysis of Granular Materials

  • Shunying JiEmail author
  • Lu Liu
Chapter
  • 25 Downloads
Part of the Springer Tracts in Mechanical Engineering book series (STME)

Abstract

The finite element method (FEM) is mature in theory. It has the advantage of being suitable for solving continuum problems with the characteristics of accurate and reliable numerical results and high efficiency when modelling small deformation problems.

References

  1. Belytschko T, Neal MO (1991) Contact-impact by the pinball algorithm with penalty and Lagrangian methods. Int J Numer Meth Eng 31(3):547–572CrossRefGoogle Scholar
  2. Benson DJ, Hallquist JO (1990) A single surface contact algorithm for the post-buckling analysis of shell structures. Comput Methods Appl Mech Eng 78(2):141–163MathSciNetCrossRefGoogle Scholar
  3. Chaudhary AB, Bathe K-J (1986) A solution method for static and dynamic analysis of three-dimensional contact problems with friction. Comput Struct 24(6):855–873CrossRefGoogle Scholar
  4. Choi JL, Gethin DT (2009) A discrete finite element modelling and measurements for powder compaction. Modell Simul Mater Sci Eng 17:035005CrossRefGoogle Scholar
  5. Chung YC, Lin CK, Chou PH et al (2016) Mechanical behavior of a granular solid and its contacting deformable structure under uni-axial compression–Part1: joint DEM-FEM modelling and experimental validation. Chem Eng Sci 144:404–420CrossRefGoogle Scholar
  6. Chung YC, Ooi JY (2012) Linking of discrete element modelling with finite element analysis for analysing structures in contact with particulate solid. Powder Technol 217(2):107–120CrossRefGoogle Scholar
  7. Frenning G (2008) An efficient finite/discrete element procedure for simulating compression of 3D particle assemblies. Comput Methods Appl Mech Eng 197(49–50):4266–4272CrossRefGoogle Scholar
  8. Gao W, Tan Y, Jiang S et al (2016) A virtual-surface contact algorithm for the interaction between FE and spherical DE. Finite Elem Anal Des 108:32–40CrossRefGoogle Scholar
  9. Gao Wei, Zang M, Xu W (2014) An approach to freely combining 3d discrete and finite element methods. Int J Comput Method 11(01):1350051MathSciNetCrossRefGoogle Scholar
  10. Gethin DT, Yang XS, Lewis RW (2006) A two dimensional combined discrete and finite el-ement scheme for simulating the flow and compaction of systems comprising irregu-lar particulates. Comput Methods Appl Mech Eng 195(41–43):5552–5565CrossRefGoogle Scholar
  11. Guo LW, Xiang JS, Latham JP et al (2016) A numerical investigation of mesh sensitivity for a new three-dimensional fracture model within the combined finite-discrete element method. Eng Fract Mech 151:70–91CrossRefGoogle Scholar
  12. Haddad H, Guessasma M, Fortin J (2016) A DEM-FEM coupling based approach simulating thermomechanical behaviour of frictional bodies with interface layer. Int J Solids Struct 81:203–218CrossRefGoogle Scholar
  13. Hallquist JO, Goudreau GL, Benson DJ (1985) Sliding interfaces with contact-impact in large-scale Lagrangian computations. Comput Methods Appl Mech Eng 51(1–3):107–137MathSciNetCrossRefGoogle Scholar
  14. Han K, Feng YT, Owen DRJ (2007) Performance comparisons of tree-based and cell-based contact detection algorithms. Eng Comput 24(2):165–181CrossRefGoogle Scholar
  15. Huněk I (1993) On a penalty formulation for contact-impact problems. Comput Struct 48(2):193–203CrossRefGoogle Scholar
  16. Karami A, Stead D (2008) Asperity degradation and damage in the direct shear test: a hybrid FEM/DEM approach. Rock Mech Rock Eng 41(2):229–266CrossRefGoogle Scholar
  17. Lei Z, Rougier E, Knight EE et al (2016) A generalized anisotropic deformation formulation for geomaterials. Comput Part Mech 3(2):215–228CrossRefGoogle Scholar
  18. Lei Z, Zang M (2010) An approach to combining 3D discrete and finite element methods based on penalty function method. Comput Mech 46(4):609–619MathSciNetCrossRefGoogle Scholar
  19. Lewis RW, Gethin DT, Yang XS et al (2005) A combined finite-discrete element method for simulating pharmaceutical powder tableting. Int J Numer Meth Eng 62(7):853–869CrossRefGoogle Scholar
  20. Li X, Wan K (2011) A bridging scale method for granular materials with discrete particle assembly–Cosserat continuum modeling. Comput Geotech 38(8):1052–1068CrossRefGoogle Scholar
  21. Liu T, Fleck NA, Wadley HNG et al (2013) The impact of sand slugs against beams and plates: coupled discrete particle/finite element simulations. J Mech Phys Solids 61(8):1798–1821CrossRefGoogle Scholar
  22. Michael M, Vogel F, Peters B (2014) DEM-FEM coupling simulations of the interactions between a tire tread and granular terrain. Comput Methods Appl Mech Eng 289:227–248MathSciNetCrossRefGoogle Scholar
  23. Munjiza A (2004) The combined finite-discrete element method. WileyGoogle Scholar
  24. Munjiza A, Andrews KRF (1998) NBS contact detection algorithm for bodies of similar size. Int J Numer Meth Eng 43(1):131–149CrossRefGoogle Scholar
  25. Munjiza A, Andrews KRF (2000) Penalty function method for combined finite–discrete ele-ment systems comprising large number of separate bodies. Int J Numer Meth Eng 49(11):1377–1396CrossRefGoogle Scholar
  26. Munjiza A, Andrews KRF, White JK (1999) Combined single and smeared crack model incombined finite-discrete element analysis. Int J Numer Meth Eng 44(1):41–57CrossRefGoogle Scholar
  27. Munjiza A, Latham JP (2004) Some computational and algorithmic developments in computational mechanics of discontinua. Philoso Trans R Soc Lond Ser A Math Phys Eng Sci 362(1822):1817MathSciNetCrossRefGoogle Scholar
  28. Munjiza A, Lei Z, Divic V et al (2013) Fracture and fragmentation of thin shells using the combined finite-discrete element method. Int J Numer Meth Eng 95:479–498MathSciNetCrossRefGoogle Scholar
  29. Nishiyama K, Nakashima H, Yoshida T et al (2016) 2D FE-DEM analysis of tractive performance of an elastic wheel for planetary rovers. J Terrramech 64:23–35CrossRefGoogle Scholar
  30. Oñate E, Rojek J (2004) Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems. Comput Methods Appl Mech Eng 193(27–29):3087–3128CrossRefGoogle Scholar
  31. Owen DRJ, Feng YT, Cottrell MG et al (2007) Computational issues in the simulation of blast and impact problems: an industrial perspective. Extreme man-made and natural hazards in dynamics of structures. Springer, NetherlandsGoogle Scholar
  32. Jonsén P, Pälsson BI, Tano K et al (2011) Prediction of mill structure behaviour in a tumbling mill. Miner Eng 24(3):236–244CrossRefGoogle Scholar
  33. Rahman MA, Taniyama H (2015) Analysis of a buried pipeline subjected to fault displacement: A DEM and FEM study. Soil Dyn Earthq Eng 71:49–62CrossRefGoogle Scholar
  34. Smoljanović H, Živaljić N, Željana N (2013) A combined finite-discrete element analysis of dry stone masonry structures. Eng Struct 52(9):89–100CrossRefGoogle Scholar
  35. Wang S, Ji et al (2018) Coupled DEM-FEM analysis of ice-induced vibrations of a conical jacket platform based on the domain decomposition method. Int J Offshore Polar Eng 28(2):190–199MathSciNetCrossRefGoogle Scholar
  36. Wang SP, Nakamachi E (1997) The inside-outside contact search algorithm for finite element analysis. Int J Numer Meth Eng 40(19):3665–3685MathSciNetCrossRefGoogle Scholar
  37. Williams JR, Perkins E, Cook B (2004) A contact algorithm for partitioning N arbitrary sized objects. Eng Comput 21(2/3/4):235–248CrossRefGoogle Scholar
  38. Xu W, Zang M (2014) Four-point combined DE/FE algorithm for brittle fracture analysis of laminated glass. Int J Solids Struct 51(10):1890–1900CrossRefGoogle Scholar
  39. Zheng Z, Zang M, Chen S et al (2017) An improved 3D DEM-FEM contact detection algorithm for the interaction simulations between particles and structures. Powder Technol 305:308–322CrossRefGoogle Scholar
  40. Zhong ZH (1993) Finite element procedures for contact-impact problems. Oxford University PressGoogle Scholar

Copyright information

© Science Press and Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of Engineering MechanicsDalian University of TechnologyDalianChina
  2. 2.Department of Engineering MechanicsDalian University of TechnologyDalianChina

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