Linear and Nonlinear Rheological Behavior of Fibrillar
Methylcellulose Hydrogels
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Abstract
Cryogenic transmission electron microscopy
and small-angle neutron
scattering recently have revealed that the well-known thermoreversible
gelation of methylcellulose (MC) in water is due to the formation
of fibrils, with a diameter of 15 ± 2 nm. Here we report that
both the linear and nonlinear viscoelastic response of MC solutions
and gels can be described by a filament-based mechanical model. In
particular, large-amplitude oscillatory shear experiments show that
aqueous MC materials transition from shear thinning to shear thickening
behavior at the gelation temperature. The critical stress at which
MC gels depart from the linear viscoelastic regime and begin to stiffen
is well predicted from the filament model over a concentration range
of 0.18–2.0 wt %. These predictions are based on fibril densities
and persistence lengths obtained experimentally from neutron scattering,
combined with cross-link spacings inferred from the gel modulus via
the same model