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Discrete Element and Particle Methods

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Encyclopedia of Continuum Mechanics

Abstract

Continuum-based simulations: Simulations based on the assumption of continuum wherein physical problems are described using differential or integral equations, which when solved via simulation produce quantitative results for state variables such as stress, strain, temperature, etc.

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References

  • Alder BJ, Wainwright TE (1959) Studies in molecular dynamics. I. General method. J Chem Phys 31(2):459–466

    Google Scholar 

  • Bathe KJ, Wilson EL (1976) Numerical methods in finite element analysis. Prentice Hall, London

    Google Scholar 

  • Cleary PW, Sawley ML (2002) DEM modelling of industrial granular flows: 3D case studies and the effect of particle shape on hopper discharge. Appl Math Model 26(2):89–111

    Google Scholar 

  • Cleary PW, Sinnott M, Morrison R (2006) Prediction of slurry transport in SAG mills using SPH fluid flow in a dynamic DEM based porous media. Miner Eng 19:1517–1527

    Google Scholar 

  • Cook BK, Noble DR, Williams JR (2004) A direct simulation method for particle-fluid systems. Eng Comput 21(2–4):151–168

    Google Scholar 

  • Cundall PA (1971) A computer model for simulating progressive large scale movements in blocky rock systems. In: Proceedings of the symposium on the rock fracture (ISRM), Nancy, vol I, paper 11-8

    Google Scholar 

  • Feng YT, Owen DRJ (2004) A 2D polygon/polygon contact model: algorithmic aspects. Eng Comput 21(2/4):265–277

    Google Scholar 

  • Fermi E, Pasta J, Ulam S (1955) Studies of nonlinear problems I. Los Alamos report LA-1940

    Google Scholar 

  • Feynman R (1959) There’s plenty of room at the bottom. American Physical Society Meeting, Caltech, 29 Dec 1959

    Google Scholar 

  • Knight EE, Rougier E, Munjiza A (2014) Software Copyright entitled “HOSS (Hybrid Optimization Software Suite)”. DOE Copyright asserted 5th June 2014

    Google Scholar 

  • Knight EE, Lei Z, Rougier E, Munjiza A (2015) A domain-decomposition based parallel procedure for the combined finite-discrete element method in 2D. In: Proceedings of the 1st Pan-American Congress on computational mechanics, Buenos Aires, 27–29 Apr 2015

    Google Scholar 

  • Lei Z, Rougier E, Knight EE, Frash L, Carey JW, Viswanathan H (2016a) A non-locking composite tetrahedron element for the combined finite discrete element method. Eng Comput 33(7):1929–1956

    Article  Google Scholar 

  • Lei Z, Rougier E, Knight EE, Munjiza A, Viswanathan H (2016b) A generalized anisotropic deformation formulation for geomaterials. Comput Particle Mech 3(2):215–228

    Article  Google Scholar 

  • Munjiza A (2004) The combined finite-discrete element method. Wiley, Chichester

    Book  MATH  Google Scholar 

  • Munjiza A, Owen DRJ, Bicanic N (1995) A combined finite/discrete element method in transient dynamics of fracturing solid. Eng Comput 12:145–174

    Article  MATH  Google Scholar 

  • Munjiza A, Knight EE, Rougier E (2011) Computational mechanics of discontinua, 1st edn. Wiley, London

    Book  Google Scholar 

  • Munjiza A, Rougier E, Knight EE (2015) Large strain finite element method: a practical course, 1st edn. Wiley, London

    MATH  Google Scholar 

  • Mustoe GGW (1989) Special elements in discrete element analysis. 1st U.S. Conference on Discrete Elements, Golden

    Google Scholar 

  • Mustoe GGW, Miyata M (2001) Material flow analyses of noncircular-shaped granular media using discrete element methods. J Eng Mech 127(10):1017–1026

    Article  Google Scholar 

  • Mustoe GGW, Williams JR, Hocking G (1987) The discrete element method in geotechnical engineering. In: Banerjee PK, Butterfield R (eds) Developments in soil mechanics and foundation engineering, vol 3. Elsevier Applied Science, New York, pp 233–263

    Google Scholar 

  • Owen DRJ, Feng YT, de Souza Neto EA (2004) The modelling of multifracturing solids and particulate media. Int J Numer Methods Eng 60(1):317–340

    Article  MATH  Google Scholar 

  • Rougier E, Knight EE, Broome ST, Sussman AJ, Munjiza A (2014a) Validation of a three-dimensional finite-discrete element method using experimental results of the split Hopkinson pressure bar test. Int J Rock Mech Min Sci 70:101–108

    Google Scholar 

  • Rougier E, Knight EE, Munjiza A (2014b) Integrated solver for fluid driven fracture and fragmentation, US Patent App. 14/339,760

    Google Scholar 

  • Rougier E, Knight EE, Lei Z, Munjiza A (2015) Recent development in the combined finite-discrete element method. In: Proceedings of the 1st Pan-American Congress on computational mechanics, Buenos Aires, 27–29 Apr 2015

    Google Scholar 

  • Shi GH (1988) Discontinuous deformation analysis: a new numerical model for the statics and dynamics of block systems. University of California, Berkeley

    Google Scholar 

  • Thornton C, Randall W (1988) Applications of theoretical contact mechanics to solid particle system simulation’. In: Satake M, Jenkins JT (eds) Micromechanics of granular materials. Elsevier, Amsterdam, pp 133–142

    Google Scholar 

  • Thornton C, Yin KK (1991) Impact of elastic spheres with and without adhesion. Powder Technol 65:153–165

    Article  Google Scholar 

  • Williams JR, Hocking G, Mustoe GGW (1985) The theoretical basis of the discrete element method. In: NUMETA 1985, numerical methods of engineering, theory and applications. A.A. Balkema, Rotterdam

    Google Scholar 

  • Williams JR, Perkins E, Cook B (2004) A contact algorithm for partitioning N arbitrary sized objects. Eng Comput 21:235–248

    Article  MATH  Google Scholar 

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Correspondence to Antonio Munjiza .

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Munjiza, A., Rougier, E., Knight, E.E., Lei, Z. (2018). Discrete Element and Particle Methods. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_16-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_16-1

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