Abstract

A regular stable network formed by flexible macromolecules connected into four functional points is considered. Each point of the network is acted on by the elastic forces from neighbors, by the force of viscous resistances, proportional to the relative velocity of the point, and by the effective force of Brownian movement. The kinetic equation is written for the network points in the case of deformation, and the moments of the second-order distribution function are calculated. The relaxation times of the system are found, and the behavior of the network in the presence of homogeneous sinusoidal deformation due to extension and shear is discussed. The complex modulus of elasticity of the network is calculated as a function of the network parameters and frequency.

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