An alternative to the use of continuous equations and constitutive models is the microscopic description of the material in terms of the grains themselves and the contacts (interactions) between them. This approach has been successfully applied in recent years to the study of many different problems in soil mechanics and granular physics. An open question is how realistic the microscopic model must be in order to accurately describe the macroscopic behavior observed in experiments. The objective of this contribution is to show the influence of different simple models of compacted granular soils on the overall elasto-plastic response of the system as a whole. We will focus our investigation on granular ratcheting, which is the persistent strain accumulation that a granular soil suffers under certain cyclic stress conditions. The direct influence of different models on the ratcheting response of the material will also help us to understand further this peculiar behavior of the system. The influence of particle shape will be also discussed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
K. Bagi, Mech. of Mat. 22, 165 (1996).
P. A. Cundall, A. Drescher, and O. D. L. Strack, in IUTAM Conference on Deformation and Failure of Granular Materials (Delft, 1982), pp. 355–370.
B. J. Alder and T. E. Wainwright, J. Chem. Phys. 31, 459 (1959).
H. J. Herrmann and S. Luding, Continuum Mechanics and Thermodynamics 10, 189 (1998).
P. A. Cundall, in Proc. Symp. Int. Rock Mech. (Balkema, Nancy, 1971), vol. 2.
J. J. Moreau, Ann. Inst. H. Poincaré Anal. Non Lin’eaire XXX, 1 (1989).
J. J. Moreau, in Powders & Grains 93 (Balkema, Rotterdam, 1993), p. 227.
F. Radjai, M. Jean, J. J. Moreau, and S. Roux, Phys. Rev. Lett. 77, 274 (1996a).
F. Radjai, D. Wolf, S. Roux, M. Jean, and J. J. Moreau, in Friction, Arching and Contact Dynamics, edited by D. E. Wolf and P. Grassberger (World Scientific, Singapore, 1997).
S. Roux, in Physics of Dry Granular Media, edited by H. J. Herrmann, J.-P. Hovi, and S. Luding (Kluwer Academic Publishers, Dordrecht, 1998), p. 267.
J. H. Snoeijer, T. Vlugt, M. van Hecke, and W. van Saarloos, Phys. Rev. Lett. 92, 054302 (2004).
F. Alonso-Marroquin and H. Herrmann, Phys. Rev. Lett. 92, 054301 (2004), cond-mat/0403065.
R. García-Rojo and H. Herrmann, Granular matter 7, 109–118 (2005a), cond-mat 0404176.
R. G.-R. S. McNamara and H. J. Herrmann, Phys. Rev. E 72, 021304 (2005).
S. Luding, in Physics of dry granular media - NATO ASI Series E350, edited by H. J. Herrmann, J.-P. Hovi, and S. Luding (Kluwer Academic Publishers, Dordrecht, 1998), p. 285.
R. García-Rojo and H. Herrmann, Phys. Rev. E 72, 041302 (2005b).
R. D. Mindlin, J. of Appl. Mech. 16, 259 (1949).
P. A. Cundall and O. D. L. Strack, Géotechnique 29, 47 (1979).
R. Olivera and L. Rothenburg, in Powders and Grains 2005, edited by H. H. R. García-Rojo and S. McNamara (Taylor and Francis, 2005), pp. 1223–1227.
O. R. Walton, in Particulate two-phase flow, edited by M. C. Roco (Butterworth-Heinemann, Boston, 1993), p. 884.
F. Radjai, L. Brendel, and S. Roux, Phys. Rev. E 54, 861 (1996b).
S. McNamara and H. J. Herrmann (2004).
T. Unger, J. Kertész, and D. Wolf (2004), cond-mat/0403089.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
García-Rojo, R., McNamara, S., Herrmann, H.J. (2008). Influence of Contact Modelling on the Macroscopic Plastic Response of Granular Soils Under Cyclic Loading. In: Capriz, G., Mariano, P.M., Giovine, P. (eds) Mathematical Models of Granular Matter. Lecture Notes in Mathematics, vol 1937. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78277-3_6
Download citation
DOI: https://doi.org/10.1007/978-3-540-78277-3_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78276-6
Online ISBN: 978-3-540-78277-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)