Abstract

Abstract The Rouse-Bueche-Zimm molecular theory of viscoelasticity has been extended to compute the relaxation time spectra of radial block and graft copolymers of various configurations and compositions. The basic assumption of the model is that the effect of foreign blocks and grafts on the relaxation spectrum is attributable to differences in the friction coefficients and submolecular chain dimensions from those of the host chain. In addition, the nearest-neighbor matrix must also be appropriately modified to take into account the nonlinear nature of the chain structure. Relaxation spectra can then be obtained by solving the equation of motion numerically on a computer. The resulting viscoelastic relaxation times of those copolymers are given as a function of copolymer composition, number of side chains, their lengths and the spacings between them. The model is restricted to bulk homogeneous copolymers or those copolymers dissolved in appropriate solvents to preclude microphase separation.

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