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arXiv · cond-mat/0010407

The effect of temperature on the viscoelastic response of rubbery polymers at finite strains

Abstract

Constitutive equations are derived for the viscoelastic response of rubbery polymers at finite strains. A polymer is thought of as a network of long chains connected to temporary junctions. At a random time, a chain detaches from a junction, which is treated at transition from its active state to the dangling state. A dangling chain randomly captures a new junction in the vicinity of its free end and returns to its active state. Breakage and reformation of long chains are modeled as thermo-mechanically activated processes. Stress-strain relations for a rubbery polymer are developed using the laws of thermodynamics. Adjustable parameters in the model are found by fitting observations in uniaxial tensile tests for a carbon black filled rubber at various temperatures. Fair agreement is demonstrated between experimental data and results of numerical simulation.

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Aleksey D. Drozdov, Al Dorfmann. 2000-10-26. The effect of temperature on the viscoelastic response of rubbery polymers at finite strains. https://arxiv.org/abs/cond-mat/0010407

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