Model Theory of Visco‐Elastic Properties and Relaxation Spectra of Two Different Interpenetrating Polymer Networks

Abstract

Dynamic viscoelastic models of the system of two different interpenetrating polymer networks with different topology and type of interactions were used for calculating spectra of relaxation times of the system under consideration. It was shown, that two branches of the relaxation spectrum appear for two models of interpenetrating networks with different components. One of the branches is the branch of the collective motion of double network consisting of two initial interacting networks. Parameters of this branch of relaxation spectrum are defined by both own elastic constants of each of interacting networks and by effective quasielastic interactions between two networks. This branch is the low frequency one and is described by broad relaxation time spectrum. The second branch is the high frequency one and characterizes mutual local motions of two interacting networks. The relaxation spectrum of this branch is comparatively narrow and depends on the quasi-elastic constants and mutual friction which is defined by the entanglements of the networks and by its effective rigidity. The second branch does not contain extremely large relaxation times for infinitely large networks.

Effect and mechanism of rheological properties and structure of a novel hydrophobically associating polymer on sand sedimentation rate

“…With the development of polymer condensed matter physics, DE Cloizeaux, DE Gennes and Edwards et al conducted in-depth research on the motion mode of polymer chain and established relevant theoretical models (Ferry 1983;Doi and Edwards 1971;Gennes and P E 1985). The structure, entanglement and motion of polymer chains in solution are the sources of polymer solution singularity (Gotlib et al 2009;Zhang et al 2015;Brule and Hoogerbrugge 1995;Cho et al 2017;Dušek and Prins 1969;Lipatov 1977). Polymer condensed matter physics introduces a series of mathematical concepts and theoretical models to describe the unique properties of polymers, including self-similarity, string drop chain model, instantaneous network theory (Annable et al 1998;Tan et al 2017), scale theory and so on.…”