Approach of Mechanical Behaviour and Rupture of Cohesive Granular Media. Validation on a Model Medium
Abstract
This paper deals with an experimental and numerical investigation of mechanical behaviour and rupture of cohesive granular media. Cohesion is characterised experimentally, from a reference medium made of aluminium cylinders glued between them with an epoxy resin. For each type of loading (tension/compression, shearing and couple), experiments give a force-displacement relation, as well as a failure criterion. This local mechanical behaviour is then introduced in a numerical code based on a discrete element method. Finally, from a comparison between numerical and experimental compression test on macroscopic granular samples, we present a validation of the mechanical approach. The approach presented here enables to analyse the localisation of the deformation as well as the initiation and propagation of fractures in granular media.
Keywords
Failure Criterion Discrete Element Method Granular Medium Yield Load Reference MediumPreview
Unable to display preview. Download preview PDF.
References
- 1.Masson S., Martinez J. (2001) Micromechanical analysis of the shear behaviour or a granular material. Journal of Engineering Mechanics 127(10), 1007–1016.CrossRefGoogle Scholar
- 2.Nouguier C. (1999) Simulation des interactions outil-sol. PhD thesis, Université Montpellier II, France.Google Scholar
- 3.Saix C., El Youssoufi M.S. (1996) Thermo-hygro-mécanique de milieux granulaires compactés. Application aux sels sous forme de pastilles. Rapport de synthèse. Convention de recherche CSME/UMII/CNRS, France.Google Scholar
- 4.Masteau J.C., Thomas G. (1999) Modelling to understand porosity and specific surface area changes during tabletting. Powder Technology 101, 240–248.CrossRefGoogle Scholar
- 5.Haddad Y., Bénet J.C., Delenne J.Y., Mermet A., Abecassis J. (2001) Rheological behaviour of wheat endosperm-Proposal for classification based on the rheological characteristics of endosperm test samples. Journal of Cereal Science 34, 105–113.CrossRefGoogle Scholar
- 6.Mabille F., Haddad Y., Delenne J.Y., Bénet J.C. (1999) Experimental study of the rheology and the cracking of granular media with cementation. In: Kishino (ed) Powder and grains, Swets and Zeitlinger, The Netherland, 63–66.Google Scholar
- 7.Oda M., Iwashita K. (eds). (1999) Mechanics of granular materials-An introduction, Balkema, Rotterdam.Google Scholar
- 8.Cambou B., Jean M. (eds). (2001) Micromécanique des matériaux granulaires, Hermes Sciences Publications, Paris.Google Scholar
- 9.Moreau J.J. (1994) Some numerical methods in multibody dynamics: application to granular materials. Eur. J. Mech. A/Solids, 3, 93–114.MathSciNetGoogle Scholar
- 10.Radjai F. (1999) Multicontact dynamics of granular systems. Computer Physics Communications, 121/122, 294–298.CrossRefGoogle Scholar
- 11.Vermeer P.A., Diebels S., Ehlers W., Herrmann H.J., Luding S., Ramm E. (Eds.) (2001) Continuous and discontinuous modelling of cohesive-frictional materials, Springer Verlag, Berlin.MATHGoogle Scholar
- 12.Bortzmeyer D. (1997) Mechanical properties and attrition resistance of porous agglomerates. In: Behringer and Jenkins (Eds.) Powders and grains, Balkema, Rotterdam, The Netherlands, 121–124.Google Scholar
- 13.Greening D.R., Mustoe G.G.W., DePoorter G.L. (1997) Discrete element modeling of fabrication flaw precursors in the compaction of agglomerated ceramic powders. In: Behringer and Jenkins (Eds.) Powders and grains, Balkema, Rotterdam, The Netherlands, 113–116.Google Scholar
- 14.Radjai F., Preechawutipong I., Peyroux R. (2001) Cohesive granular texture. In: Vermeer et al. (Eds.) Continuous and discontinuous modelling of cohesivefrictional materials, Springer Verlag, Berlin, 149–162.Google Scholar
- 15.Preechawuttipong I. (2002) Modélisation du comportement mécanique de matériaux granulaires cohésifs. PhD thesis, Université Montpellier II, France.Google Scholar
- 16.Lian G., Thornton C., Adams M.J. (1998) Discrete particle simulation of agglomerate impact coalescence. Chemical Engineering Science 53(19), 3381–3391.CrossRefGoogle Scholar
- 17.Mikami T., Kamiya H., Horio M. (1998) Numerical simulation of cohesive powder behavior in fluidized bed. Chemical Engineering Science 53(10), 1927–1940.CrossRefGoogle Scholar
- 18.Potapov A.V., Campbell C.S. (1997) The two mechanisms of particle impact breakage and the velocity effect. Powder Technology 93, 13–21.CrossRefGoogle Scholar
- 19.Kun F., Herrmann H.J. (1999) Transition from damage to fragmentation in collision of solids. Physical Review E 59(3), 2623–2632.CrossRefGoogle Scholar
- 20.Magnier S.A., Donzé F.V. (1998) Numerical simulations of impacts using a discrete element method. Mechanics of Cohesive-Frictional Materials 3, 257–276.CrossRefGoogle Scholar
- 21.Brara A., Camborde F., Klepaczko J.R., Mariotti C. (2001) Experimental and numerical study of concrete at high strain rates in tension. Mechanics of Materials 33, 33–45.CrossRefGoogle Scholar
- 22.Pisarenko D., Gland N. (2001) Modeling of scale effects of damage in cemented granular rocks. Phys. Chem. Earth (A) 26(1/2), 83–88.CrossRefGoogle Scholar
- 23.Cundall P.A., Strack O.D.L. (1979) A discrete numerical model for granular assemblies. Geotechnique 29, 47–65.CrossRefGoogle Scholar
- 24.Delenne J.Y., El Youssoufi M.S., Bénet J.C. (2002) Comportement mécanique et rupture de milieux granulaires cohésifs. C. R. Mecanique 330, 475–482.MATHCrossRefGoogle Scholar
- 25.Delenne J.Y. (2002) Milieux granulaires comportement solide-Modélisation, analyse expérimentale de la cohésion, validation et applications. PhD thesis, Université Montpellier II, France.Google Scholar
- 26.Allen M.P., Tildesley D.J. (1986) Computer simulation of liquids. Oxford university press, Oxford.Google Scholar