Criticality and isostaticity in fibre networks
By C. Broedersz, Xiaoming Mao, Tom C. Lubensky, F. MacKintosh. 2010
334 citations recorded by the source corpus.
In fibre networks, mechanical stability relies on the fibres’ bending resistance—in contrast to rubbers, where entropic stretching is the key. The extent to which the mechanics of fibre networks is controlled by bending is, however, an open question. The study of a general lattice-based model of fibrous networks now reveals two rigidity critical points, one of which controls a rich crossover from stretching-dominated to bending-dominated behaviour.
Subfields: Cell Biology, Materials Chemistry, Mechanical Engineering
View Paper: https://www.semanticscholar.org/paper/d80dd73926438a876e0b6bcc24a583b3bfdc427c
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Citations in the corpus
- Topological boundary modes in isostatic lattices (2013, neutral): “detQ=A[k(2) x +a1k 2 y + ic(k 3 x −3kxk 2 y )]+O(k (4)) (14)”
- A density-independent rigidity transition in biological tissues (2014, background): “Is there an even simpler explanation for p0 ∼ p pent 0 ? As in other rigidity transitions [6, 33, 34, 38], we expect that”
- Modeling semiflexible polymer networks (2014, methodology): “Two such approaches have been developed to incorporate this effect by Das et al., (Das et al., 2007, 2012) and Mao et al., (Broedersz et al., 2011; Mao et al., 2013a,b).”
- Strain-controlled criticality governs the nonlinear mechanics of fibre networks (2015, background): “More precisely, an additional energy [8] such as the elastic bending stiffness of fibres [7] with a finite coupling constant κ can stabilize otherwise floppy networks.”