Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
1999-11-08
Phys. Rev. Lett., 13 Dec 1999
Physics
Condensed Matter
Soft Condensed Matter
4 pages, 5 figures, http://polymer.bu.edu/~hmakse
Scientific paper
10.1103/PhysRevLett.83.5070
Experimentally it is known that the bulk modulus, K, and shear modulus, \mu, of a granular assembly of elastic spheres increase with pressure, p, faster than the p^1/3 law predicted by effective medium theory (EMT) based on Hertz-Mindlin contact forces. To understand the origin of these discrepancies, we perform numerical simulations of granular aggregates under compression. We show that EMT can describe the moduli pressure dependence if one includes the increasing number of grain-grain contacts with p. Most important, the affine assumption (which underlies EMT), is found to be valid for K(p) but breakdown seriously for \mu(p). This explains why the experimental and numerical values of \mu(p) are much smaller than the EMT predictions.
Gland Nicolas
Johnson David L.
Makse Hernan A.
Schwartz Lawrence M.
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