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arXiv · 1111.1751

Effective Medium Theory of Filamentous Triangular Lattice

Xiaoming Mao·Olaf Stenull·T. C. Lubensky
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Abstract

We present an effective medium theory that includes bending as well as stretching forces, and we use it to calculate mechanical response of a diluted filamentous triangular lattice. In this lattice, bonds are central-force springs, and there are bending forces between neighboring bonds on the same filament. We investigate the diluted lattice in which each bond is present with a probability $p$. We find a rigidity threshold $p_b$ which has the same value for all positive bending rigidity and a crossover characterizing bending-, stretching-, and bend-stretch coupled elastic regimes controlled by the central-force rigidity percolation point at $p_{\textrm{CF}} \simeq 2/3$ of the lattice when fiber bending rigidity vanishes.

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Xiaoming Mao, Olaf Stenull, T. C. Lubensky. 2013-01-05. Effective Medium Theory of Filamentous Triangular Lattice. https://doi.org/10.1103/physreve.87.042601

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