Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-01-07
Physics
Condensed Matter
Statistical Mechanics
6 pages, 4 figures, elsart class; contribution to the proceedings of the conference 'Horizons in Complex Systems', in honor of
Scientific paper
The modeling of the elastic properties of granular or nanoscale systems requires the foundations of the theory of elasticity to be revisited, as one explores scales at which this theory may no longer hold. The only cases for which a microscopic justification of elasticity exists are (nearly) uniformly strained lattices. A microscopic theory of elasticity, as well as simulations, reveal that standard continuum elasticity applies only at sufficiently large scales (typically 100 particle diameters). Interestingly, force chains, which have been observed in experiments on granular systems, and attributed to non-elastic effects, are shown to exist in systems composed of harmonically interacting constituents. The corresponding stress field, which is a continuum mechanical (averaged) entity, exhibits no chain structures even at near-microscopic resolutions, but it does reflect macroscopic anisotropy, when present.
Goldenberg Chay
Goldhirsch Isaac
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