Theory of Viscoelasticity in Temporarily Crosslinked Polymers. VII. Concentration Dependence of Rheological Properties in Solutions

  • Hayashi Shizuo
    Department of Physics, Faculty of General Study, Gunma University

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By using the rheological equation obtained from the theory of network structure, the expressions of storage and loss moduli are obtained as functions of the chain length. The concentration dependence of storage and loss moduli is obtained theoretically in closed form by investigating the relation between chain length and concentration. The tendency of shift from the Zimm-like behavior to the Rouse-like is explained in terms of the concentration effect on the number of intermolecular junctions, whereas in Tschoegl’s theory it is interpreted in terms of decreasing hydrodynamic effect.<BR>The principal results obtained are as follow.<BR>1. The quantity JeC⁄(1−v1⁄ηr)2 passes through a maximum and decreases inversely proportional to concentration in moderate concentrations and to the square of concentration in high concentrations.<BR>2. The low shear viscosity is proportional to M3.5C3.5 in moderate concentrations and to M3.5C6 in high concentrations.<BR>3. The storage modulus and the loss modulus transform from the Zimm-like behavior to the Rouse-like as the concentration increases.<BR>4. The concentration dependence of storage and loss moduli at fixed frequency is investigate at three fixed frequencies.

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