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Based on the fitted curves shown in Figure 1(b), slopes of 3.2 and 3.5 were determined for the polyacrylate and polyacrylic-based systems respectively.� While this value deviates from deGennes' reported value of 2.25 for ideal polymer chains in the semi-dilute regime1, our results closely match those of recent work by Meyvis2.� We hypothesize that the deviation from deGennes predictions stems from the effects of dangling polymer chain ends that do not contribute to the elasticity response of the network to applied stress.� A manuscript of this study is currently in preparation.
Effects of Particle Additions on Hydrogel Stiffness
����������� Next, we added colloidal particles of varying surface chemistries to test the strengthening effects of colloidal fillers.� Since the hydrogel network is negatively-charged, we tested the effects of different surface chemistries (e.g. negatively-charged carboxylated polystyrene lattices and positively-charged spermine-grafted polystyrene lattices) to generate varying degrees of attractive or repulsive interactions at the hydrogel-colloid interface.� We had predicted that cases involving cationic particles would allow the colloidal particles to act as macro-scopic crosslinking agents and would stiffen the hydrogels.� We found in fact, that additions of 0.79 mm-diameter particles did not stiffen the matrix modulus compared to pure hydrogels without embedded particles.� To increase the effective interfacial area between the hydrogel matrix and particle fillers, we then explored using smaller 0.12 mm-diameter particles; however, particle size effects were minimal.� Interestingly, particle additions in several cases (e.g. carbon nanotubes) appeared to actually weaken the hydrogel by reducing its shear storage modulus.� While dispersing the individual particles throughout the matrix simply does not appear to strengthen the hydrogels, we hypothesize that perhaps aggregated particles would more effectively stiffen the matrix by providing a more continuous network of interactive fillers.
Figure 2. Shear storage modulus values of hydrogel-colloid composites at varying polymer hydrogel volume fractions. The 15/85 polyacrylamide/polyacrylate hydrogel has a net negative charge due to the acrylate copolymer. Particle surface chemistries ranged from anionic carboxylated and cationic spermine-grafted polystyrene lattices to rod-like carbon nanotubes. The frequency was fixed at 6 rad/sec.
References
1. de Gennes, P. Scaling Concepts in Polymer Physics. 1979, Ithaca: Cornell University Press.
2. Meyvis, T.K.L. et al J. Rheol. 1999. 43:933-950.