Abstract
A granular material is a conglomeration of discrete solid particles. It is intrinsically athermal because its dynamics always occur far from equilibrium. In highly excited gaseous states, it can safely be assumed that only binary interactions occur and a number of kinetic theories have been successfully applied. However, for granular flows and solidlike states, the theory is still poorly understood because of the internally correlated structures, such as particle clusters and force networks. The current theory is that the mesoscale characteristics define the key differences between granular materials and homogeneous solid materials. Widespread interest in granular materials has arisen among physicists, and significant progress has been made, especially in understanding the jamming phase diagram and the characteristics of the jammed phase. In this paper, the underlying physics of the mesoscale structure is discussed in detail. A multiscale framework is then proposed for dense granular materials.
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References
Jaeger H M, Nagel S E, Behringer R P. Granular solids, liquids, and gases. Reviews of Modern Physics, 1996, 68(4): 1259–1273
Sun Q, Jin F, Liu J, Zhang G. Understanding force chains in dense granular materials. International Journal of Modern Physics B, 2010, 24(29): 5743–5759
Song C, Wang P, Makse H A. A phase diagram for jammed matter. Nature, 2008, 453(7195): 629–632
Liu A J, Nagel S R. Jamming is not just cool any more. Nature, 1998, 396(6706): 21–22
Edwards S F, Oakeshott R B S. Theory of powders. Physica A, 1989, 157(3): 1080–1090
Goldhirsch I. Introduction to granular temperature. Powder Technology, 2008, 182(2): 130–136
Kondic L, Behringer R P. Elastic energy, fluctuations and temperature for granular materials. Europhysics Letters, 2004, 67(2): 205–211
Sun Q, Song S, Jin F, Bi Z. Elastic energy and relaxation in triaxial compressions. Granular Matter, 2011, 13(6): 743–750
Sun Q, Song S, Jin F, Jiang Y. Entropy productions in granular materials. Theoretical and Applied Mechanics Letters, 2012, 2(2): 021002
Trappe V, Prasad V, Cipelletti L, Segre P N, Weitz D A. Jamming phase diagram for attractive particles. Nature, 2001, 411(6839): 772–775
Durian D J. Foam mechanics at the bubble scale. Physical Review Letters, 1995, 75(26): 4780–4783
Brujic J, Song C, Wang P, Briscoe C, Marty G, Makse H A. Impact of a projectile on a granular medium described by a collision model. Physical Review Letters, 2007, 98(24): 248001
O’Hern C S, Silbert L E, Liu A J, Nagel S R. Jamming at zero temperature and zero applied stress: The epitome of disorder. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 2003, 68(1): 011306
Abate A R, Durian D J. Approach to jamming in an air-fluidized granular bed. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 2006, 74(3): 031308
Keys A S, Abate A R, Glotzer S C, Durian D J. Measurement of growing dynamical length scales and prediction of the jamming transition in a granular material. Nature Physics, 2007, 3(4): 260–264
Zhang Z, Xu N, Chen D T N, Yunker P, Alsayed A M, Aptowicz K B, Habdas P, Liu A J, Nagel S R, Yodh A G. Thermal vestige of the zero-temperature jamming transition. Nature, 2009, 459(7244): 230–233
van Hecke M. Jamming of soft particles: geometry, mechanics, scaling and isostaticity. Journal of Physics Condensed Matter, 2010, 22(3): 033101
Somfai E, van Hecke M, Ellenbroek W G, Shundyak K, van Saarloos W. Critical and noncritical jamming of frictional grains. Physical Review E, 2007, 75(2): 020301 (R)
Zeravcic Z, Xu N, Liu A J, Nagel S R, Van Saarloos W. Excitations of ellipsoid packings near jamming. Europhysics Letters, 2009, 87(2): 26001
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Sun, Q., Jin, F. & Zhang, G. Mesoscopic properties of dense granular materials: An overview. Front. Struct. Civ. Eng. 7, 1–12 (2013). https://doi.org/10.1007/s11709-013-0184-z
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DOI: https://doi.org/10.1007/s11709-013-0184-z