2001/08/31 by C. Goldenberg, I. Goldhirsch
Engineering · Physics and Astronomy · #Advanced machining processes and optimization #Force Microscopy Techniques and Applications #Mineral Processing and Grinding #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.89.084302
published as Physical Review Letters 89, 084302 (2002) · 4 pages, 11 figures, RevTeX 4, revised and resubmitted to Phys. Rev. Lett
arxiv created 2001/12/31 · openalex publication_date 2002/08/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.