Relating Nonuniform Deformations to Fracture in Uniaxially Loaded Non-Woven Fiber Networks

The porous, cellulosic fiber networks in commercial paper are generally regarded as continuum materials when the sheet is large compared to the size of fiber agglomerates (flocs). In this manuscript we reveal that even when the average macroscopic tensile response of copy paper specimens is well described by orthotropic anisotropy, the local deformation characteristics inside a specimen and among different specimens are not uniform as predicted by continuum theories. Using a non-contact, high resolution full-field strain measurements, we present specimen orientation specific strain maps and deformation fields. The characteristic length scales of strain hot spots are obtained using thresholding and lineal path correlation and are compared to the characteristic size of flocs. We quantify the spatial distribution and extent of nonaffine (non-continuum) deformations during tensile loading of a commercial paper, and show how they are critical features of deformation and tearing mechanisms in paper.