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Directed force propagation in semiflexible networks.

Maximilian J Grill1, Jonathan Kernes2, Valentin M Slepukhin2

  • 1Institute for Computational Mechanics, Technical University of Munich, 85748 Garching, Germany.

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Tension in semiflexible filament networks concentrates along specific fibers, forming "tensile force chains." These chains carry most of the load near the force application point, revealing network heterogeneity.

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Area of Science:

  • Physics
  • Materials Science
  • Biophysics

Background:

  • Semiflexible filament networks are crucial in biological and material systems.
  • Understanding force propagation is key to predicting network behavior.

Purpose of the Study:

  • To investigate how tension propagates through semiflexible filament networks under point force application.
  • To characterize the structure and behavior of tensile force chains.

Main Methods:

  • Combined numerical simulations and analytic theory.
  • Developed self-consistent calculations for the point-force response function.
  • Introduced a transfer matrix approach to analyze tension decay and force chain branching.

Main Results:

  • Force distribution within the network is highly heterogeneous.
  • A few fibers support a significant fraction of the applied load.
  • Identified and explored the structure of tensile force chains.

Conclusions:

  • Semiflexible filament networks exhibit heterogeneous force distribution.
  • Tensile force chains are key structures in load-bearing within these networks.
  • The developed methods allow for detailed analysis of tension propagation and network mechanics.