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The Payne effect for particle-reinforced elastomers

2000/11/13 by Aleksey D. Drozdov, Luis Dorfmann, Drozdov, Aleksey D. +2
Chemistry · Engineering · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Polymer Nanocomposites and Properties #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.cond-mat/0011223

34 pages, 7 figures

arxiv created 2000/11/13 · openalex publication_date 2000/11/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The study deals with the Payne effect (a substantial decrease in the storage modulus of a particle-reinforced elastomer with an increase in the amplitude of mechanical oscillations). The influence of temperature, concentration of filler and amplitude and frequency of strains is analyzed on the mechanical response of filled rubbery polymers. Constitutive equations are derived using the concept of two interpenetrating networks: one comprises semiflexible polymeric chains connected to temporary junctions, whereas the other is formed by aggregated filler clusters. Adjustable parameters are found by fitting experimental data for natural rubber, bromobutyl rubber and styrene-butadiene rubber reinforced by carbon black and polymeric particles. The critical concentration of particles is determined that characterizes transition from an ensemble of disjoint clusters to the network of filler. The volume fraction of filler corresponding to this transition is found to be close to theoretical predictions based on the percolation theory, as well as to experimental data for isolator-conductor transition.

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