Optical Measurements, Modeling, and Metrology, Volume 5

4. Conclusion In this study, a set of methods was defined in order to characterize the behavior of entangled media and more particularly, of monofilament entangled materials. The mechanical behavior of such a material can now be linked to its microstructure, which was showed to be more or less heterogeneous, depending on the wire’s characteristics. Both mechanical and microstructural behaviors can also be modeled using a discrete element method, taking into account friction. Acknowledgements National Research Agency (MANSART, ANR-REG-071220-01-01) . References [1] Cathy O., « Fatigue des empilements de spères creuses métalliques », PhD thesis, INSA Lyon, 2008 [2] Masse J.P., « Conception optimale de solutions multimatériaux multifonctionnelles : l’exemple des structures sanwdwiches à peaux en acier – choix des matériaux et développement de nouveaux matériaux de cœur », PhD thesis, INPG, 2009 [3] Rodney D., Fivel M., Dendievel R., « Discrete Modeling of the Mechanics of Entangled Materials », Physical Review Letters, Volume 95, pp 108004, 2005 [4] Liu P., He G., Wu L., « Fabrication of sintered steel wire mesh and its compressive properties », Materials Science and Engineering A., Volume 489, pp 21-28, 2008 [5] Tan Q., Liu P., Du C., Wu L., He G., « Mechanical behaviors of quasi-ordered entangled aluminium alloy wire material », Materials Science and Engineering A., Volume 527, pp 38-44, 2009 [6] Liu P., He G., Wu L., « Uniaxial tensile stress-strain behaviour of entangled steel wire material», Materials Science and Engineering A., Volume 509, pp 69-75, 2009 [7] Barbier C., « Modélisation numérique du comportement mécanique de systèmes enchevêtrés », PhD thesis, INPG, 2008 [8] Buffiere J.Y., Maire E., Adrien J., Masse J.P., Boller E., « In Situ Experiments with X ray Tomography: an Attractive Tool for Experimental Mechanics », Experimental Mechanics, Volume 50, Issue 3, pp 289-305, 2010 [9] Kremer K., Grest G.S., « Dynamics of entangled linear polymer melts: A molecular-dynamics simulation », J Chem Phys, Volume 92, pp 5057, 1990 [10] Zhang H.P., Makse H.A., « Jamming transition in émulsions and granular materials », Physical Review E., Volume 72, pp 011301, 2005 [11] Silbert L.E., Ertas D., Grest G.S, Halsey T.C., Levine D., Plimpton S.J., « Granular flow down an inclined plane : Bagnold scaling and rheology », Phys Rev E, Volume 64, pp 051302, 2001 [12] Brilliantov N.V, Spahn F., Hertzsch J.M., Poschel T., « Model for collisions in granular gases», Phys Rev E, 53, pp 5382-5392, 1996 38

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