On the application of couple-stress theories to granular media

Brown, Colin B.; Evans, R. J.

doi:10.1680/geot.1972.22.2.356

Cited by 12 publications

(1 citation statement)

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“…Mühlhaus and Vardoulakis conducted a bifurcation analysis based on a micropolar theory and successfully predicted the thickness of a shear band, as well as the shear band direction. Brown and Evans questioned the need to incorporate micropolar terms for granular media, based on the fact that the coupled stress might be extremely small in most circumstances. In this paper, we do not incorporate the rolling and torsional resistances.…”

Section: Methodsmentioning

confidence: 99%

A nonlocal multiscale discrete-continuum model for predicting mechanical behavior of granular materials

Liu

Sun

Yuan

et al. 2015

Int. J. Numer. Meth. Engng

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Summary A three‐dimensional nonlocal multiscale discrete‐continuum model has been developed for modeling mechanical behavior of granular materials. In the proposed multiscale scheme, we establish an information‐passing coupling between the discrete element method, which explicitly replicates granular motion of individual particles, and a finite element continuum model, which captures nonlocal overall responses of the granular assemblies. The resulting multiscale discrete‐continuum coupling method retains the simplicity and efficiency of a continuum‐based finite element model, while circumventing mesh pathology in the post‐bifurcation regime by means of staggered nonlocal operator. We demonstrate that the multiscale coupling scheme is able to capture the plastic dilatancy and pressure‐sensitive frictional responses commonly observed inside dilatant shear bands, without employing a phenomenological plasticity model at a macroscopic level. In addition, internal variables, such as plastic dilatancy and plastic flow direction, are now inferred directly from granular physics, without introducing unnecessary empirical relations and phenomenology. The simple shear and the biaxial compression tests are used to analyze the onset and evolution of shear bands in granular materials and sensitivity to mesh density. The robustness and the accuracy of the proposed multiscale model are verified in comparisons with single‐scale benchmark discrete element method simulations. Copyright © 2015 John Wiley & Sons, Ltd.

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Section: Methodsmentioning

confidence: 99%