Andrade, José E. and Chen, Qiushi and Le, Phong H. and Avila, Carlos F. and Evans, T. Matthew (2012) On the rheology of dilative granular media: Bridging solid-and fluid-like behavior. Journal of the Mechanics and Physics of Solids, 60 (6). pp. 1122-1136. ISSN 0022-5096 http://resolver.caltech.edu/CaltechAUTHORS:20120521-075840860
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A new rate-dependent plasticity model for dilative granular media is presented, aiming to bridge the seemingly disparate solid- and fluid-like behavioral regimes. Up to date, solid-like behavior is typically tackled with rate-independent plasticity models emanating from Mohr–Coulomb and Critical State plasticity theory. On the other hand, the fluid-like behavior of granular media is typically treated using constitutive theories amenable to viscous flow, e.g., Bingham fluid. In our proposed model, the material strength is composed of a dilation part and a rate-dependent residual strength. The dilatancy strength plays a key role during solid-like behavior but vanishes in the fluid-like regime. The residual strength, which in a classical plasticity model is considered constant and rate-independent, is postulated to evolve with strain rate. The main appeal of the model is its simplicity and its ability to reconcile the classic plasticity and rheology camps. The applicability and capability of the model are demonstrated by numerical simulation of granular flow problems, as well as a classical shear banding problem, where the performance of the continuum model is compared to discrete particle simulations and physical experiment. These results shed much-needed light onto the mechanics and physics of granular media at various shear rates.
|Additional Information:||© 2012 Elsevier Ltd. Received 6 May 2011. Revised 24 February 2012. Accepted 25 February 2012. Available online 3 March 2012. Support for this work is provided by AFOSR Grant number FA9550-08-1-1092. This support is gratefully acknowledged.|
|Subject Keywords:||Granular media; Rheology; Rate-dependent; Plasticity; Dilatancy|
|Official Citation:||José E. Andrade, Qiushi Chen, Phong H. Le, Carlos F. Avila, T. Matthew Evans, On the rheology of dilative granular media: Bridging solid- and fluid-like behavior, Journal of the Mechanics and Physics of Solids, Volume 60, Issue 6, June 2012, Pages 1122-1136, ISSN 0022-5096, 10.1016/j.jmps.2012.02.011. (http://www.sciencedirect.com/science/article/pii/S002250961200049X)|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||21 May 2012 15:20|
|Last Modified:||21 May 2012 15:20|
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