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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.