Strain-driven criticality underlies nonlinear mechanics of fibrous networks

Simple item page
dc.citation.articleNumber42407
dc.citation.issueNumber4
dc.citation.journalTitlePhysical Review E
dc.citation.volumeNumber94
dc.contributor.authorSharma, A.
dc.contributor.authorLicup, A.J.
dc.contributor.authorRens, R.
dc.contributor.authorVahabi, M.
dc.contributor.authorJansen, K.A.
dc.contributor.authorKoenderink, G.H.
dc.contributor.authorMacKintosh, F.C.
dc.date.accessioned2017-05-19T20:48:13Z
dc.date.available2017-05-19T20:48:13Z
dc.date.issued2016
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.
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.
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.94.042407
dc.identifier.urihttps://hdl.handle.net/1911/94306
dc.language.isoeng
dc.publisherAmerican Physical Society
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.
dc.titleStrain-driven criticality underlies nonlinear mechanics of fibrous networks
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Strain-driven-criticality.pdf
Size:
1.4 MB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Faculty Publications
Chemical and Biomolecular Engineering Publications
Physics and Astronomy Publications