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Issue 5, 2016
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Nonlinear elasticity of disordered fiber networks

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Disordered biopolymer gels have striking mechanical properties including strong nonlinearities. In the case of athermal gels (such as collagen-I) the nonlinearity has long been associated with a crossover from a bending dominated to a stretching dominated regime of elasticity. The physics of this crossover is related to the existence of a central-force isostatic point and to the fact that for most gels the bending modulus is small. This crossover induces scaling behavior for the elastic moduli. In particular, for linear elasticity such a scaling law has been demonstrated [Broedersz et al. Nat. Phys., 2011 7, 983]. In this work we generalize the scaling to the nonlinear regime with a two-parameter scaling law involving three critical exponents. We test the scaling law numerically for two disordered lattice models, and find a good scaling collapse for the shear modulus in both the linear and nonlinear regimes. We compute all the critical exponents for the two lattice models and discuss the applicability of our results to real systems.

Graphical abstract: Nonlinear elasticity of disordered fiber networks

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The article was received on 27 Jul 2015, accepted on 21 Nov 2015 and first published on 23 Nov 2015

Article type: Paper
DOI: 10.1039/C5SM01856K
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Citation: Soft Matter, 2016,12, 1419-1424

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    Nonlinear elasticity of disordered fiber networks

    J. Feng, H. Levine, X. Mao and L. M. Sander, Soft Matter, 2016, 12, 1419
    DOI: 10.1039/C5SM01856K

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