Journal
SOFT MATTER
Volume 15, Issue 7, Pages 1666-1675Publisher
ROYAL SOC CHEMISTRY
DOI: 10.1039/c8sm02192a
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Funding
- National Science Foundation Division of Materials Research [DMR-1826623]
- National Science Foundation Center for Theoretical Biological Physics [PHY-1427654]
- Ken Kennedy Institute for Information Technology Oil & Gas HPC Conference Fellowship
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Hydrogels of semiflexible biopolymers such as collagen have been shown to contract axially under shear strain, in contrast to the axial dilation observed for most elastic materials. Recent work has shown that this behavior can be understood in terms of the porous, two-component nature and consequent timedependent compressibility of hydrogels. The apparent normal stress measured by a torsional rheometer reflects only the tensile contribution of the axial component sigma(zz) on long (compressible) timescales, crossing over to the first normal stress difference, N-1 = sigma(xx) - sigma(zz) at short (incompressible) times. While the behavior of N-1 is well understood for isotropic viscoelastic materials undergoing affine shear deformation, biopolymer networks are often anisotropic and deform nonaffinely. Here, we numerically study the normal stresses that arise under shear in subisostatic, athermal semiflexible polymer networks. We show that such systems exhibit strong deviations from affine behavior and that these anomalies are controlled by a rigidity transition as a function of strain.
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