Force Chains, Microelasticity and Macroelasticity

Details Force Chains, Microelasticity and Macroelasticity Force Chains, Microelasticity and Macroelasticity

2001-08-19

arxiv.org/abs/cond-mat/0108297v2

Physical Review Letters 89, 084302 (2002)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 11 figures, RevTeX 4, revised and resubmitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.89.084302

It has been claimed that quasistatic granular materials, as well as nanoscale materials, exhibit departures from elasticity even at small loadings. It is demonstrated, using 2D and 3D models with interparticle harmonic interactions, that such departures are expected at small scales [below O(100) particle diameters], at which continuum elasticity is invalid, and vanish at large scales. The models exhibit force chains on small scales, and force and stress distributions which agree with experimental findings. Effects of anisotropy, disorder and boundary conditions are discussed as well.

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