Directed force propagation in semiflexible networks

TL;DR

This paper investigates how tension propagates along specific filaments in semiflexible networks, revealing heterogenous force distribution and the existence of tensile force chains, using simulations and analytic theory.

Contribution

It introduces a transfer matrix approach and self-consistent calculations to analyze tension decay and force chain branching in semiflexible filament networks.

Findings

Force distribution is highly heterogenous with a few fibers supporting most of the load.

Identification of tensile force chains as key structures in force propagation.

Development of a transfer matrix method to study tension decay and chain branching.

Abstract

We consider the propagation of tension along specific filament of a semiflexible filament network in response to the application of a point force using a combination of numerical simulations and analytic theory. We find the distribution of force within the network is highly heterogenous, with a small number of fibers supporting a significant fraction of the applied load over distances of multiple mesh sizes surrounding the point of force application. We suggest that these structures may be thought of as tensile force chains, whose structure we explore via simulation. We develop self-consistent calculations of the point-force response function and introduce a transfer matrix approach to explore the decay of tension (into bending) energy and the branching of tensile force chains in the network.