“Inertial number”的意思、由来-开放百科全书

The Inertial number

quantifies the significance of dynamic effects in a granular material. It measures the ratio of inertial forces of grains to imposed forces: a small value corresponds to the quasi-static state, while a high value corresponds to the inertial state or even the "dynamic" state.^[1]^[2]^[3]^[4]

where

is the shear rate,

the average particle diameter,

is the pressure and

is the density.

One model of dense granular flows, the μ(I) rheology, asserts that the coefficient of friction μ of a granular material is a function of the inertial number only.

References

1. ^{{cite conference|title=Discrete numerical simulation, quasistatic deformation and the origins of strain in granular materials | last1=Combe | first1=G. | last2=Roux | first2=J.-N. |conference=3ème Symposium International sur le Comportement des sols et des roches tendres | location=Lyon | date=22–24 September 2003 |pages=1071–1078 (2003)|arxiv=0901.3842|bibcode=2009arXiv0901.3842C }}
2. ^{{cite journal|title=On dense granular flows|first=G.D.R. |last=Midi|journal=EPJ E|pages=341–365 (2004)|volume=14|doi=10.1140/epje/i2003-10153-0|url=http://epje.edpsciences.org/index.php?option=com_article&access=standard&Itemid=129&url=/articles/epje/abs/2004/08/epje03211/epje03211.html|arxiv=cond-mat/0312502|bibcode=2004EPJE...14..341M}}
3. ^{{cite journal|title=Discrete numerical simulation and the mechanical behavior of granular materials|author=Roux J.-N., Chevoir F.|journal=BULLETIN DES LABORATOIRES DES PONTS ET CHAUSSÉES - 254|year=2005|pages=109–138|url=http://navier.enpc.fr/rheophysique/pdf/Granulaires3.pdf}}{{dead link|date=March 2013}}
4. ^{{cite book|last1 = Radjaï | first1=F. | last2=Dubois | first2=F.| title = Discrete-Element Modeling of Granular Materials| publisher = ISTE Ltd and John Wiley & Sons Inc | date=8 March 2011 | chapter= Chapter 8 - Dimensional Analysis and Control Parameters | isbn = 1-84821-260-7}}