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Title: Normal stress anisotropy and marginal stability in athermal elastic networks
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 time-dependent compressibility of hydrogels. The apparent normal stress measured by a torsional rheometer reflects only the tensile contribution of the axial component σ zz on long (compressible) timescales, crossing over to the first normal stress difference, N 1 = σ xx − σ 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.  more » « less
Award ID(s):
1826623
NSF-PAR ID:
10104380
Author(s) / Creator(s):
; ; ;
Date Published:
Journal Name:
Soft Matter
Volume:
15
Issue:
7
ISSN:
1744-683X
Page Range / eLocation ID:
1666 to 1675
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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