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The mechanics of disordered fibrous networks such as those that make up theextracellular matrix are strongly dependent on the local connectivity orcoordination number. For biopolymer networks this coordination number istypically between three and four. Such networks are sub-isostatic and linearlyunstable to deformation with only central force interactions, but exhibit amechanical phase transition between floppy and rigid states under strain.Introducing weak bending interactions stabilizes these networks and suppressesthe critical signatures of this transition. We show that applying externalstress can also stabilize sub-isostatic networks with only tensile centralforce interactions, i.e., a rope-like potential. Moreover, we find that thelinear shear modulus shows a power law scaling with the external normal stress,with a non-mean-field exponent. For networks with finite bending rigidity, wefind that the critical stain shifts to lower values under prestress.

Stress-stabilized sub-isostatic fiber networks in a rope-like limit