Fiber networks below the isostatic point: fracture without stress concentration

Abstract

Crack nucleation is a ubiquitous phenomena during materials failure, because stress focuses on crack tips. It is known that exceptions to this general rule arise in the limit of strong disorder or vanishing mechanical stability, where stress distributes over a divergent length scale and the material displays diffusive damage. Here we show, using simulations, that a class of diluted lattices displays a new critical phase when they are below isostaticity, where stress never concentrates, damage always occurs over a divergent length scale, and catastrophic failure is avoided.

7 pages, 5 figures

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• Statistical Models of Fracture
• Stress controls the mechanics of collagen networks
• Strain-induced alignment in collagen gels
• Strain-controlled criticality governs the nonlinear mechanics of fibre networks
• Effective medium theory of semiflexible filamentous networks
• Nonlinear elasticity of disordered fiber networks
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• Elasticity of Filamentous Kagome Lattice
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Cited by in corpus (7)

• Geometry and the onset of rigidity in a disordered network
• Forecasting failure locations in two-dimensional disordered lattices
• Rigidity percolation control of the brittle-ductile transition in disordered networks
• Rigidity-Controlled Crossover: From Spinodal to Critical Failure
• Athermal Fracture of Elastic Networks: How Rigidity Challenges the Unavoidable Size-Induced Brittleness
• Crosslinker mobility governs fracture behavior of catch-bonded networks
• Correlated rigidity percolation in fractal lattices