Failure mechanisms in granular media: a discrete element analysis
- 345 Downloads
This paper attempts to numerically validate the concept of diffuse failure using a discrete element method. First, the theoretical background is reviewed, and it is shown how the kinetic energy of a system, initially at rest after a loading history, is likely to abruptly increase under the effect of disturbances. The vanishing of the second-order work thus constitutes a basic ingredient, related to both the pioneering work of Hill (J Mech Phys Solids (6):236–249, 1958) and the notion of bifurcation applied to geomechanics (Vardoulakis and Sulem in Bifurcation analysis in geomechanics, Chapman & Hall Publisher, London, 1995). Discrete numerical simulations were performed on homogeneous three-dimensional specimens, and the three basic conditions that must be satisfied in order to observe a failure mechanism are numerically checked. Finally, this work illustrates the phenomena that are likely to affect in situ slopes, for instance, when the loading (due to weather conditions or human activities) meets the three basic conditions for a failure mechanism to develop.
KeywordsBifurcation Sustainability Second-order work Loading parameters Discrete element method Diffuse failure Collapse
Unable to display preview. Download preview PDF.
- 1.Bazant Z., Cedolin L.: Stability of Structures. Dover Edition Publ, USA (2003)Google Scholar
- 2.Challamel N., Nicot F., Lerbet J., Darve F.: On the stability of non-conservative elastic systems under mixed perturbations. Eur. J. Env. Civil Eng. 13(3), 347–367 (2009)Google Scholar
- 5.Darve F., Vardoulakis I.: Degradations and Instabilities in Geomaterials. Springer, Berlin (2004)Google Scholar
- 6.Gudehus, G.: A comparison of some constitutive laws for soils under radially symmetric loading and unloading. In: Aachen, Wittke, W. (eds.) 3rd International Conference on Numerical Methods in Geomechanics, vol. 4, pp. 1309–1324. Balkema Publisher, (1979)Google Scholar
- 11.Nicot, F., Challamel, N., Lerbet, J., Darve, F.: Mixed loading conditions, revisiting the question of stability in geomechanics. Int. J. Num. Anal. Methods Geomech. Article first published online: 2 SEP 2010. doi: 10.1002/nag.959 (2010)
- 14.Radjai, F., Roux, S., Moreau, J.J.: Contact forces in a granular packing. Chaos, 9, (n°3), 544–550 (1999)Google Scholar
- 15.Sibille L., Donzé F., Nicot F., Chareyre B., Darve F.: Bifurcation detection and catastrophic failure. Acta Geotecnica 3(1), 14–24 (2008)Google Scholar
- 16.Sibille L., Nicot F., Donzé F., Darve F.: Analysis of failure occurrence from direct simulations. Eur. J. Environ. Civil Eng. 13(2), 187–202 (2009)Google Scholar
- 17.Thom R.: Stabilité Structurelle et Morphogénèse. Interéditions Paris Publ, Paris (1972)Google Scholar
- 20.Vardoulakis I., Sulem J.: Bifurcation Analysis in Geomechanics. Chapman & Hall Publisher, London (1995)Google Scholar