Arch generated shear bands in granular systems
Alex Bordignon, Lucas Sigaud, Geovan Tavares, Hélio Lopes, Thomas Lewiner, Welles Morgado
Abstract:
We propose an arch based model, on cubic and square lattices, to simulate the internal mobility of grains, in a dense granular system under shear. In this model, the role of the arches in granular transport presents a non-linear dependence on the local values of the stress components that can be modeled geometrically. This non-linearity is very important since a linear dependence on the stress will make the models behave similarly to viscous fluids, which will not reproduce highly interesting properties of the sheared systems such as shear bands. In particular, we study a modified Couette flow and find the appearance of shear bands in accordance with the literature.
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BibTeX:
@article{shearband_physicaa,author = {Alex Bordignon and Lucas Sigaud and Geovan Tavares and Hélio Lopes and Thomas Lewiner and Welles Morgado},
title = {Arch generated shear bands in granular systems},
year = {2009},
month = {june},
journal = {Physica A: Statistical Mechanics and its Applications},
volume = {388},
number = {11},
pages = {2099--2108},
publisher = {Elsevier},
doi = {10.1016/j.physa.2009.02.021},
url = {\url{http://thomas.lewiner.org/pdfs/shearband_physicaa.pdf}}
}