2000/06/01 by Oded Farago, Yacov Kantor · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Composite Material Mechanics #Elasticity and Material Modeling #Graph theory and applications #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.62.6094
published as Phys. Rev. E, 62 (2000) 6094 · submitted to Phys. Rev. E, 10 pages, 1 figure
arxiv created 2000/06/01 · openalex publication_date 2000/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the elastic properties of phantom networks of Gaussian and nearly Gaussian springs. We show that the stress tensor of a Gaussian network coincides with the conductivity tensor of an equivalent resistor network, while its elastic constants vanish. We use a perturbation theory to analyze the elastic behavior of networks of slightly non-Gaussian springs. We show that the elastic constants of phantom percolation networks of nearly Gaussian springs have a power-law dependence on the distance of the system from the percolation threshold, and we derive bounds on the exponents.