Viscoelastic constitutive equation on two-scale modeling for Carbon Black-Filled SBR Vulcanizates

Abstract

For the design of industrial rubber products, it is important to capture the stress-strain response under arbitrary loading condition. However, these stress-strain responses show a complicated behavior, depending on the strain rate, strain history, and strain amplitude. The main purpose of this study is to develop a new constitutive model, which is a micromechanical affine network model, for capturing the nonlinear viscoelastic stress-strain response of carbon-black-filled styrene-butadiene rubber vulcanizates. The following tests of dumbbell specimens made from the vulcanizates were performed at ambient temperature: uniaxial cycle test; 1-cycle tensile tests with high and low speed strain rates; relaxation test. The experimental data were successfully reproduced by the proposed constitutive model.