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We present an effective-medium theory that includes bending as well as stretching forces, and we use it to calculate the 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 pb 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 pCF≃2/3 of the lattice when fiber bending rigidity vanishes.
Mao, X., Stenull, O., & Lubensky, T. C. (2013). Effective-medium theory of a filamentous triangular lattice. Retrieved from https://repository.upenn.edu/physics_papers/284
Date Posted: 09 May 2013
This document has been peer reviewed.