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Under extensional strain, fiber networks can exhibit an anomalously large andnonlinear Poisson effect accompanied by a dramatic transverse contraction andvolume reduction for applied strains as small as a few percent. We demonstratethat this phenomenon is controlled by a collective mechanical phase transitionthat occurs at a critical uniaxial strain that depends on network connectivity.This transition is punctuated by an anomalous peak in the apparent Poisson'sratio and other critical signatures such as diverging nonaffine strainfluctuations.

Nonlinear Poisson effect governed by mechanical critical transition