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Related Experiment Video

Updated: Sep 5, 2025

Measurement of Maximum Isometric Force Generated by Permeabilized Skeletal Muscle Fibers
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Random Fiber Network Loaded by a Point Force.

J Merson1, R C Picu1

  • 1Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180.

Journal of Applied Mechanics
|July 5, 2022
PubMed
Summary
This summary is machine-generated.

Researchers numerically modeled the displacement field from a point force in random fiber networks. The classical Green function applies beyond a threshold distance, with nonlocal interactions dominating at shorter ranges.

Keywords:
Green’s functioncomputational mechanicslinear elasticitymechanical properties of materialsnetwork materialsnonlocal elasticity

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Area of Science:

  • Physics
  • Materials Science
  • Network Theory

Background:

  • Understanding material response to localized stress is crucial in materials science.
  • Random fiber networks exhibit complex mechanical behaviors due to their structure.

Purpose of the Study:

  • To determine the displacement field (Green function) caused by a point force in an athermal random fiber network.
  • To investigate the influence of network parameters on this displacement field within linear elasticity.

Main Methods:

  • Numerical simulations were employed to model the nonaffine networks.
  • The study analyzed various parameter sets characterizing the networks.

Main Results:

  • A threshold distance was identified, beyond which the classical Green function solution is valid.
  • This threshold distance was found to be independent of the studied network parameters.
  • At distances smaller than the threshold, nonlocal fiber interactions significantly alter the displacement field.

Conclusions:

  • The Green function for random fiber networks has a dual nature, transitioning from nonlocal to classical behavior with increasing distance from the force.
  • Network parameters do not influence the characteristic distance at which this transition occurs.