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  Elastic response of filamentous networks with compliant crosslinks

Sharma, A., Sheinman, M., Heidemann, K. M., & Mackintosh, F. C. (2013). Elastic response of filamentous networks with compliant crosslinks. Physical Review E, 88(5): 052705. doi:10.1103/PhysRevE.88.052705.

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Sharma, A, Author
Sheinman, M, Author
Heidemann, Knut M.1, Author              
Mackintosh, F C, Author
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1Group Physics of social systems, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_3171842              

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 Abstract: Experiments have shown that elasticity of disordered filamentous networks with compliant crosslinks is very different from networks with rigid crosslinks. Here, we model and analyze filamentous networks as a collection of randomly oriented rigid filaments connected to each other by flexible crosslinks that are modeled as wormlike chains. For relatively large extensions we allow for enthalpic stretching of crosslink backbones. We show that for sufficiently high crosslink density, the network linear elastic response is affine on the scale of the filaments’ length. The nonlinear regime can become highly nonaffine and is characterized by a divergence of the elastic modulus at finite strain. In contrast to the prior predictions, we do not find an asymptotic regime in which the differential elastic modulus scales linearly with the stress, although an approximate linear dependence can be seen in a transition from entropic to enthalpic regimes. We discuss our results in light of recent experiments.

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 Dates: 2013
 Publication Status: Published in print
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 Identifiers: DOI: 10.1103/PhysRevE.88.052705
BibTex Citekey: Sharma2013
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Title: Physical Review E
  Other : Phys. Rev. E
Source Genre: Journal
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Publ. Info: Melville, NY : American Physical Society
Pages: 9 Volume / Issue: 88 (5) Sequence Number: 052705 Start / End Page: - Identifier: ISSN: 1539-3755
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012