Abstract
In this work we introduce mechanical networks which highlight the relation between viscoelastic and structural properties of
chemical systems at the sol-gel transition. Cross-linking polymers at the gel point show in general a power law behavior of
the complex modulus, i.e., \$G*(ømega) (iømega)^(0 < < 1)\$, which is related to the (constitutive) gel equation. We present a mechanical ladder model whose stress-strain relation obeys the gel equation
with α = ½ and which consists of an infinite number of springs and dashpots. Furthermore, we investigate terminated ladder arrangements which mimic pre- and postgel behavior. To elucidate the complex dependence of a on structural properties which one observes for systems near to the gel point, we analyze mechanical fractal networks.
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