Effective-medium theory of a filamentous triangular lattice

Loading...
Thumbnail Image
Penn collection
Department of Physics Papers
Degree type
Discipline
Subject
Physical Sciences and Mathematics
Physics
Funder
Grant number
License
Copyright date
Distributor
Related resources
Contributor
Abstract

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.

Advisor
Date Range for Data Collection (Start Date)
Date Range for Data Collection (End Date)
Digital Object Identifier
Series name and number
Publication date
2013-04-09
Journal title
Volume number
Issue number
Publisher
Publisher DOI
Journal Issue
Comments
Mao, X., Stenull, O., & Lubensky, T. C. (2013). Effective-medium theory of a filamentous triangular lattice. Physical Review E, 87(4), 042601. doi: http://dx.doi.org/10.1103/PhysRevE.87.042601 ©2013 American Physical Society
Recommended citation
Collection