zbMATH — the first resource for mathematics

Accurate modelling of the elastic behavior of a continuum with the discrete element method. (English) Zbl 1398.74314
Summary: The Discrete Element Method (DEM) has been used for modelling continua, like concrete or rocks. However, it requires a big calibration effort, even to capture just the linear elastic behavior of a continuum modelled via the classical force-displacement relationships at the contact interfaces between particles. In this work we propose a new way for computing the contact forces between discrete particles. The newly proposed forces take into account the surroundings of the contact, not just the contact itself. This brings in the missing terms that provide an accurate approximation to an elastic continuum, and avoids calibration of the DEM parameters for the purely linear elastic range.
Reviewer: Reviewer (Berlin)

74S05 Finite element methods applied to problems in solid mechanics
68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
76M10 Finite element methods applied to problems in fluid mechanics
76M25 Other numerical methods (fluid mechanics) (MSC2010)
74R20 Anelastic fracture and damage
DEMPack; GiD
Full Text: DOI
[1] Cundall, PA; Strack, OD, A discrete numerical model for granular assemblies, Geotechnique, 29, 47-65, (1979)
[2] Langston, PA; Tüzün, U; Heyes, DM, Discrete element simulation of granular flow in 2D and 3D hoppers: dependence of discharge rate and wall stress on particle interactions, Chem Eng Sci, 50, 967-987, (1995)
[3] Cleary, PW; Sawley, ML, DEM modelling of industrial granular flows: 3D case studies and the effect of particle shape on Hopper discharge, Appl Math Modell, 26, 89-111, (2002) · Zbl 1018.76033
[4] Xu, BH; Yu, AB, Numerical simulation of the gas-solid flow in a fluidized bed by combining discrete particle method with computational fluid dynamics, Chem Eng Sci, 52, 2785-2809, (1997)
[5] Tsuji, Y; Kawaguchi, T; Tanaka, T, Discrete particle simulation of two-dimensional fluidized bed, Powder Technol, 77, 79-87, (1993)
[6] Oñate, E; Labra, C; Zárate, F; Rojek, J, Modelling and simulation of the effect of blast loading on structures using an adaptive blending of discrete and finite element methods, Risk Anal Dam Saf Dam Secur Crit Infrastruct Manag, 53, 365-372, (2012)
[7] Moreno, R; Ghadiri, M; Antony, SJ, Effect of the impact angle on the breakage of agglomerates: a numerical study using DEM, Powder Technol, 130, 132-137, (2003)
[8] Oñate, E; Zárate, F; Miquel, J; Santasusana, M; Celigueta, MA; Arrufat, F; Gandikota, R; Valiullin, KM; Ring, L, A local constitutive model for the discrete element method. application to geomaterials and concrete, Comput Part Mech, 2, 139-160, (2015)
[9] Brown, NJ; Chen, JF; Ooi, JY, A bond model for DEM simulation of cementitious materials and deformable structures, Granular Matter, 16, 299-311, (2014)
[10] Rojek, J; Oñate, E; Labra, C; Kargl, H, Discrete element simulation of rock cutting, Int J Rock Mech Min Sci, 48, 996-1010, (2011)
[11] Potyondy, DO; Cundall, PA, A bonded-particle model for rock, Int J Rock Mech Min Sci, 41, 1329-1364, (2004)
[12] Donzé, F; Magnier, SA, Formulation of a 3D numerical model of brittle behaviour, Geophys J Int, 122, 790-802, (1995)
[13] Oñate, E; Rojek, J, Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems, Comput Methods Appl Mech Eng, 193, 3087-3128, (2004) · Zbl 1079.74646
[14] Hentz, S; Daudeville, L; Donzé, FV, Identification and validation of a discrete element model for concrete, J Eng Mech, 130, 709-719, (2004)
[15] Labra CA (2012) Advances in the development of the discrete element method for excavation processes. Ph.D. Thesis, Universitat Politècnica de Catalunya, Barcelona
[16] Luding, S, Introduction to discrete element methods: basic of contact force models and how to perform the micro-macro transition to continuum theory, Eur J Environ Civ Eng, 12, 785-826, (2008)
[17] Rojek, J; Karlis, GF; Malinowski, LJ; Beer, G, Setting up virgin stress conditions in discrete element models, Comput Geotech, 48, 228-248, (2013)
[18] Okabe A, Boots B, Sugihara K, Chiu SN (2009) Spatial tessellations: concepts and applications of Voronoi diagrams, vol 501. Wiley, Hoboken · Zbl 0946.68144
[19] Thornton, C; Cummins, SJ; Cleary, PW, An investigation of the comparative behaviour of alternative contact force models during elastic collisions, Powder Technol, 210, 189-197, (2011)
[20] Dadvand, P; Rossi, R; Oñate, E, An object-oriented environment for developing finite element codes for multi-disciplinary applications, Arch Comput Methods Eng, 17, 253-297, (2010) · Zbl 1360.76130
[21] www.cimne.com/dempack
[22] Ribó R, Pasenau M, Escolano E, Ronda JS, González LF (1998) GiD reference manual. CIMNE, Barcelona
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.