Shear band formation in granular media as a variational problem

Details Shear band formation in granular media as a variational problem Shear band formation in granular media as a variational problem

2004-01-09

arxiv.org/abs/cond-mat/0401143v2

Phys. Rev. Lett. 92, 214301 (2004)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 5 figures; minor changes, typos and journal-ref added

Scientific paper

10.1103/PhysRevLett.92.214301

Strain in sheared dense granular material is often localized in a narrow region called shear band. Recent experiments in a modified Couette cell provided localized shear flow in the bulk away from the confining walls. The non-trivial shape of the shear band was measured as the function of the cell geometry. First we present a geometric argument for narrow shear bands which connects the function of their surface position with the shape in the bulk. Assuming a simple dissipation mechanism we show that the principle of minimum dissipation of energy provides a good description of the shape function. Furthermore, we discuss the possibility and behavior of shear bands which are detached from the free surface and are entirely covered in the bulk.

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