Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2005-06-23
Poudres & Grains 14, 82-95, (2004), ISSN 1257-3957
Physics
Condensed Matter
Soft Condensed Matter
14 pages + 1 page, 3 figures
Scientific paper
The distribution P(F) of contact forces F in a homogeneous isotropic disordered granular sample subject to uniform triaxial stress field is studied using a model where forces propagate and collide. Collisions occur at grain and obey given rules which allow satisfying local static equilibrium. Analogy with Boltzmann's equation of density evolution is drawn and used to derive the parameters that control the distribution Ps(F) of contact forces F in the stationary state in case of a packing of mono-disperse spheres. Using symmetry argument and mean field approximation, it is found that stationarity is achieved when the density Ps(F) of force can be written as the product of exponentials of quantities whose sums are preserved during collisions. This introduces 3 parameters in 2d and 6 in 3d which are the mean force components {Fxo, Fyo, Fzo}, and the mean torques of the force on a grain {Mxo, Myo, Mzo} >. Astonishingly, it seems that the theory cannot include distribution of contact orientation implicitly. Extension of the model is possible with some care to case of anisotropic packing. Pacs # : 5.40 ; 45.70 ; 62.20 ; 83.70.Fn
No associations
LandOfFree
Distribution of contact forces in a homogeneous granular material of identical spheres under triaxial compression does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Distribution of contact forces in a homogeneous granular material of identical spheres under triaxial compression, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Distribution of contact forces in a homogeneous granular material of identical spheres under triaxial compression will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-624211