Abstract
The present contribution introduces enhanced discrete element simulation methodologies (DEM) with a special focus on a microstructure-based model environment. Therewith, it is possible to represent the failure of cohesive granular materials like concrete, ceramics or marl in a qualitative as well as quantitative manner. Starting from a basic polygonal two-dimensional particle model for non-cohesive granular materials, more complex models for cohesive materials are obtained by inclusion of beam or interface elements between corresponding particles. In particular, we will introduce an interface enhanced DEM methodology where a standard ingredient of computational mechanics, namely interface elements, are combined with the particle methodology contained in the DEM. The last step in the series of increasing complexity is the realization of a microstructure-based simulation environment which utilizes the interface enhanced DEM methodology. With growing model complexity a wide variety of failure features of cohesive as well as non-cohesive geomaterials can be represented. Finally, the plan of the paper is enriched by the validation of the newly introduced and re-developed discrete models with regard to qualitative and quantitative aspects.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
Allen M.P., Tildesley D.J. (1987) Computer simulation of liquids. Oxford University Press, Oxford
de Borst R. (1987) Integration of plasticity equations for singular yield functions. Comput Struct 26, 823–829
de Borst R., van der Giessen E. (1998) Material instabilities in solids. Wiley, Chichester
Brendel L., Dippel S. (1998). Lasting contacts in molecular dynamics simulations. In: Herrmann H.J., Hovi J.P., Luding S. (eds). Physics of dry granular materials. Kluwer, Dordrecht, pp. 313–318, vol. 35, NATO-ASI series E: applied science.
Carol I., Prat P.C., Lopez C.M. (1997) Normal/shear cracking model: application to discrete crack analysis. J Eng Mech 123, 765–773
Cundall P.A. (2001) A discontinuous future for numerical modelling in geomechanics. Geotech Eng 149, 41–47
Cundall P.A., Strack O.D.L. (1979) A discrete numerical model for granular assemblages. Géotechnique 29, 47–65
D’Addetta G.A. (2004) Discrete models for cohesive frictional materials. Ph.D. thesis, Bericht Nr. 42, Bericht Nr. 42, Institut für Baustatik, Universität Stuttgart, Germany
D’Addetta G.A., Ramm E. (2004). Discrete modelling of geomaterials. In: Vermeer P.A., Ehlers W., Herrmann H.J., Ramm E. (eds). Continuous and discontinuous modelling of cohesive frictional materials – Proceedings of CDM 2004. Balkema, Rotterdam
D’Addetta G.A., Kun F., Herrmann H.J., Ramm E. (2001). From solids to granulates – discrete element simulations of fracture and fragmentation processes in geomaterials. In: Vermeer P.A., Diebels S., Ehlers W., Herrmann H.J., Luding S., Ramm E. (eds). Continuous and discontinuous modelling of cohesive frictional materials. Lecture Notes in Physics, vol. 586, Springer, Berlin Heidelberg New York, pp. 231–258
D’Addetta G.A., Kun F., Ramm E. (2002) On the application of a discrete model to the fracture process of cohesive granular materials. Granu Matter 4, 77–90
D’Addetta, G.A., Ramm, E., Diebels, S., Ehlers, W. Homogenization for particle assemblies. In: Cook, B.K., Jensen, R.P. (eds.) Discrete element methods – numerical modeling of discontinua – Proceedings of 3rd international conference on DEM, Santa Fe, NM, USA, Geotechnical Special Publication No. 117, pp. 259–264, ASCE, Reston, VI, USA (2002)
D’Addetta G.A., Ramm E., Diebels S., Ehlers W. (2004) A particle center based homogenization strategy for particle assemblies. Eng Comput 21, 360–383
Donzé F.V., Magnier S.A. (1995) Formulation of a 3-D numerical model of brittle behaviour. Geophys J Int 122,790–802
Ehlers W., Ramm E., Diebels S., D’Addetta G.A. (2003) From particle ensembles to Cosserat continua: homogenization of contact forces towards stresses and couple stresses. Int J Solids Struct 40, 6681–6702
Evans R.H., Marathe H.S. (1968) Microcracking and stress–strain curves for concrete in tension. Materiaux et constructions 1, 61–65
Goodman R.E., Taylor R.L., Brekke T.L. (1968) A model for the mechanics of jointed rock. ASCE J Soil Mech Found Div 94, 637–659
Koiter W.T. (1953) Stress–strain relations, uniqueness and variational theorems for elastic-plastic materials with a singular yield surface. Quart Appl Math 11, 350–354
Kuhl E., D’Addetta G.A., Herrmann H.J., Ramm E. (2000) A comparison of discrete granular material models with continuous microplane formulations. Granul Matter 2, 113–121
Kun F., Herrmann H.J. (1996) Fragmentation of colliding discs. Int J Mod Phys C 7, 837–855
Kun F., Herrmann H.J. (1996) A study of fragmentation processes using a discrete element method. Comp Methods Appl Mech Eng 138, 3–18
Kun F., D’Addetta G.A., Ramm E., Herrmann H.J. (1999) Two-dimensional dynamic simulation of fracture and fragmentation of solids. Comp Ass Mech Eng 6, 385–402
Luding S. (1998). Collisions and contacts between two particles. In: Herrmann H.J., Hovi J.P., Luding S. (eds). Physics of dry granular materials, Vol. 350, NATO-ASI series E: applied science Kluwer, Dordrecht, pp. 285–304
Luding, S. Micro–macro transition for anisotropic, frictional granular packings. Int J Solids Struct 41, 5821–5836 (2004)
Magnier S.A., Donzé F.V. (1998) Numerical simulations of impacts using a discrete element method. Mech Coh Frict Mat 3, 257–276
Matuttis H.G., Luding S., Herrmann H.J. (2000) Discrete element simulations of dense packings and heaps made of spherical and non-spherical particles. Powder Technol 109, 278–292
van Mier J.G.M. (1997) Fracture processes of concrete. CRC Press, Boca Raton
van Mier J.G.M., Schlangen E., Vervuurt A., van Vliet M.R.A. (1995). Damage analysis of brittle disordered materials: concrete and rock. In: Bakker A. (eds). Mechanical behaviour of materials. Proceedings of the ICM 7. Delft University Press, Delft, pp. 101–126
Mühlhaus H.B. ed. (1995). Continuum models for materials with microstructure. Wiley, Chichester
Mühlhaus H.B., Sakaguchi H., Wei Y. (1997). Particle based modelling of dynamic fracture in jointed rock. In: Yuan (eds). Procedings of the 9th international conference of the international association of computer methods and advances in geomechanics – IACMAG 97. Balkema, Rotterdam, Wuhan, China, pp. 207–216
Ngo D., Scordelis A.C. (1967) Finite element analysis of reinforced concrete beams. ACI Mat J 64, 152–163
Oda M., Kazama H. (1998) Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils. Géotechnique 48, 465–481
Potapov A.V., Hopkins M.A., Campbell C.S. (1995) A two-dimensional dynamic simulation of solid fracture – part II: examples. Int J Mod Phys C 6, 399–425
Schlangen E., van Mier J.G.M. (1992) Experimental and numerical analysis of micromechanisms of fracture of cement-based composites. Cement Concrete Res 14, 105–118
Stankowski T. (1990) Numerical simulation of progressive failure in particle composites. Ph.D. thesis, University of Colorado, Boulder
Tillemans H.J., Herrmann H.J. (1995) Simulating deformations of granular solids under shear. Physica A 217, 261–288
Vermeer P.A., Diebels S., Ehlers W., Herrmann H.J., Luding S., Ramm E. ed. (2001). Continuous and discontinuous modelling of cohesive frictional materials. Lecture Notes in Physics 586. Springer, Berlin Heidelberg Newyork
Vonk R. (1989) Influence of boundary conditions on softening of concrete loaded in compression. Report TUE/BKO 89.14, Faculteit Bouwkunde, Technische Universiteit Eindhoven, The Netherlands
Vonk R. (1992) Softening of concrete loaded in compression. Ph.D. thesis, Technische Universiteit Eindhoven, The Netherlands
Zhong X., Chang C.S. (1999) Micromechanical modeling for behavior of cementitious granular materials. J Eng Mech 125, 1280–1285
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
D’Addetta, G.A., Ramm, E. A Microstructure-based Simulation Environment on the Basis of an Interface Enhanced Particle Model. Granular Matter 8, 159–174 (2006). https://doi.org/10.1007/s10035-006-0004-4
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10035-006-0004-4