Strain-driven criticality underlies nonlinear mechanics of fibrous networks

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dc.citation.articleNumber42407en_US
dc.citation.issueNumber4en_US
dc.citation.journalTitlePhysical Review Een_US
dc.citation.volumeNumber94en_US
dc.contributor.authorSharma, A.en_US
dc.contributor.authorLicup, A.J.en_US
dc.contributor.authorRens, R.en_US
dc.contributor.authorVahabi, M.en_US
dc.contributor.authorJansen, K.A.en_US
dc.contributor.authorKoenderink, G.H.en_US
dc.contributor.authorMacKintosh, F.C.en_US
dc.date.accessioned2017-05-19T20:48:13Zen_US
dc.date.available2017-05-19T20:48:13Zen_US
dc.date.issued2016en_US
dc.description.abstractNetworks with only central force interactions are floppy when their average connectivity is below an isostatic threshold. Although such networks are mechanically unstable, they can become rigid when strained. It was recently shown that the transition from floppy to rigid states as a function of simple shear strain is continuous, with hallmark signatures of criticality [Sharma etﾠal., Nature Phys. 12, 584 (2016)]. The nonlinear mechanical response of collagen networks was shown to be quantitatively described within the framework of such mechanical critical phenomenon. Here, we provide a more quantitative characterization of critical behavior in subisostatic networks. Using finite-size scaling we demonstrate the divergence of strain fluctuations in the network at well-defined critical strain. We show that the characteristic strain corresponding to the onset of strain stiffening is distinct from but related to this critical strain in a way that depends on critical exponents. We confirm this prediction experimentally for collagen networks. Moreover, we find that the apparent critical exponents are largely independent of the spatial dimensionality. With subisostaticity as the only required condition, strain-driven criticality is expected to be a general feature of biologically relevant fibrous networks.en_US
dc.identifier.citationSharma, A., Licup, A.J., Rens, R., et al.. "Strain-driven criticality underlies nonlinear mechanics of fibrous networks." <i>Physical Review E,</i> 94, no. 4 (2016) American Physical Society: https://doi.org/10.1103/PhysRevE.94.042407.en_US
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.94.042407en_US
dc.identifier.urihttps://hdl.handle.net/1911/94306en_US
dc.language.isoengen_US
dc.publisherAmerican Physical Societyen_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.titleStrain-driven criticality underlies nonlinear mechanics of fibrous networksen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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