Force distributions and force chains in random stiff fiber networks |
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Authors: | C Heussinger E Frey |
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Institution: | 1.Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience (CeNS), Department of Physics,Ludwig-Maximilians-Universit?t München,München,Germany |
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Abstract: | We study the elasticity of random stiff fiber networks. The elastic response of the fibers is characterized by a central force
stretching stiffness as well as a bending stiffness that acts transverse to the fiber contour. Previous studies have shown
that this model displays an anomalous elastic regime where the stretching mode is fully frozen out and the elastic energy
is completely dominated by the bending mode. We demonstrate by simulations and scaling arguments that, in contrast to the
bending dominated elastic energy, the equally important elastic forces are to a large extent stretching dominated. By characterizing these forces on microscopic, mesoscopic and macroscopic scales
we find two mechanisms of how forces are transmitted in the network. While forces smaller than a threshold Fc are effectively balanced by a homogeneous background medium, forces larger than Fc are found to be heterogeneously distributed throughout the sample, giving rise to highly localized force chains known from
granular media. |
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Keywords: | 62 25 +g Mechanical properties of nanoscale materials 87 16 Ka Filaments microtubules their networks and supramolecular assemblies |
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