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Influence of particle elasticity in shear testers

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Abstract

Two dimensional simulations of non-cohesive granular matter in a biaxial shear tester are discussed. The effect of particle elasticity on the mechanical behavior is investigated using two complementary distinct element methods (DEM): Soft particle molecular dynamics simulations (Particle Flow Code, PFC) for elastic particles and contact dynamics simulations (CD) for the limit of perfectly rigid particles. As soon as the system dilates to form shear bands, it relaxes the elastic strains so that one finds the same stresses for rigid respectively elastic particles in steady state flow. The principal stresses in steady state flow are determined. They are proportional to each other, giving rise to an effective macroscopic friction coefficient which is about 10% smaller than the microscopic friction coefficient between the grains.

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References

  1. Schwedes, J.: Review on testers for measuring of properties of bulk solids. Gran. Matter 5, 1–43 (2003)

    Google Scholar 

  2. Cundall, P.A.: A computer model for simulating progressive large scale movements of block rock systems. In: Proceedings of the Symposium of the International Society of Rock Mechanics, volume 1, Nancy, France, 1971, pp. 132–150

  3. Cundall, P.A., Strack, O.D.L.: A discrete model for granular assemblies. Geotechnique 29, 47–65 (1979)

    Google Scholar 

  4. Nowak, M.: Spannungs-/Dehnungsverhalten von Kalkstein in der Zweiaxialbox. PhD thesis, TU Braunschweig, 1994

  5. Janssen, R.J.M., Zetzener, H.: Measurements on cohesive powder with two biaxial shear testers. Chem. Eng. Tech. 26(2), 147–151

  6. Cundall, P.A.: Distinct element models of rock and soil structure. In: Analytical and computational methods in engineering and rock mechanics. Allen & Unwin, London, England, 1987

  7. Wolf, D.E.: Modelling and computer simulation of granular media. In: K.H. Hoffmann, M. Schreiber (eds.), Computational Physics: Selected Methods – Simple Exercises – Serious Applications. Springer, Heidelberg, 1996, pp. 64–94

  8. Luding, S.: Molecular dynamics simulations of granular materials. In: H. Hinrichsen, D.E. Wolf (eds.), The Physics of Granular Media. Wiley-VCH, Berlin, Germany, 2004

  9. Itasca consulting, http://www.itasca.com. Particle Flow Code in 2 Dimensions. Online manual PFC2d version 3.0

  10. Lötstedt, P.: Mechanical systems of rigid bodies subject to unilateral constraints. SIAM J. Appl. Math. 42, 281–296 (1982)

    Google Scholar 

  11. Jean, M., Moreau, J.J.: Unilaterality and dry friction in the dynamics of rigid body collections. In: Proceedings of Contact Mechanics International Symposium. Presses Polytechniques et Universitaires Romandes, Lausanne, Switzerland, 1992, pp. 31–48

  12. Jean, M.: The non-smooth contact dynamics method. Comput. Methods Appl. Eng. 177, 235–257 (1999)

    Google Scholar 

  13. Moreau, J.J.: Some numerical methods in multibody dynamics: application to granular materials. Eur. J. Mech., A/Solids 13(4), 93–114 (1994)

    Google Scholar 

  14. Unger, T., Kertész, J.: The contact dynamics method for granular media. In: Modeling of Complex Systems. American Institute of Physics. cond-mat/0211696.v Melville, New York, 2003, pp. 116–138

  15. Brendel, L., Unger, T., Wolf, D.E.: Contact dynamics for beginners. In: H. Hinrichsen, D.E. Wolf, (eds.), The Physics of Granular Media. Wiley-VCH, Berlin, Germany, 2004

  16. Kadau, D., Bartels, G., Brendel, L., Wolf, D.E.: Pore stabilization in cohesive granular systems. Phase Trans. 76(4-5), 315–331 (2003)

    Google Scholar 

  17. Radjai, F., Brendel, L., Roux, S.: Nonsmoothness, indeterminacy, and friction in two dimensional arrays of rigid particles. Phys. Rev. E 54(1), 861 (1996)

    Google Scholar 

  18. Unger, T., Kertész, J., Wolf, D. E.: Force indeterminacy in the jammed state of hard disks. Phys. Rev. Lett. 94, 178001 (2005)

    Google Scholar 

  19. Unger, T., Brendel, L., Wolf, D.E., Kertész, J.: Elastic behavior in contact dynamics of rigid particles. Phys. Rev. E 65(6), 061305 (2002)

    Google Scholar 

  20. Luding, S., Tykhoniuk, R., Tomas, J., Heim, L., Kappl, M., Butt, H.-J.: Flow behavior of cohesive and frictional fine powders. In: Y. Shimizu, R.D. Hart, P.A. Cundall (eds.), Numerical Modeling in Micromechanics via Particle Methods – 2004. PFC Symposium procedings, A.A. Balkema, 2004, pp. 157–163

  21. Luding, S.: Anisotropy in cohesive, frictional granular media. J. Phys. Condens. Matter 17, S2623–S2640 (2005)

    Google Scholar 

  22. Luding, S.: Shear flow modeling of cohesive and frictional fine powder. Powder Technology 158, 45–50 (2005)

    Google Scholar 

  23. Török, J., Kadau, D., Wolf, D.E.: Properties of shear bands in biaxial tests. In preparation

  24. Reynolds, O.: On the dilatancy of media composed of rigid particles in contact. Philos. Mag. Ser. 5(20), 469 (1885)

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Correspondence to Dirk Kadau.

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We thank János Török for stimulating discussions and visualization of the shear bands. This work was supported by the German Science Foundation (DFG) within SFB 445 and grant WO 577/3-3, and by Federal Mogul GmbH.

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Kadau, D., Schwesig, D., Theuerkauf, J. et al. Influence of particle elasticity in shear testers. Granular Matter 8, 35–40 (2006). https://doi.org/10.1007/s10035-005-0217-y

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