Arch generated shear bands in granular systems |
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Authors: | AL Bordignon G Tavares T Lewiner |
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Institution: | a Departamento de Física, Pontifícia Universidade Católica do Rio de Janeiro, C.P. 38071, 22452-970 Rio de Janeiro, Brazil b Departamento de Matemática, Pontifícia Universidade Católica do Rio de Janeiro, C.P. 38071, 22452 970 Rio de Janeiro, Brazil |
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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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Keywords: | 74 25 Fy 74 72 Hs |
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