Numerical description of the viscoelastic properties of low- and high-filled elastomeric nanocomposites
In this work, an analytical solution is found for the change in the dissipative (inelastic) part of the stress tensor at a constant rate of uniaxial loading of the material within the framework of a new thermodynamic model of the behavior of viscoelastic materials. At the same time, a fairly accurate coincidence of the theoretical curve constructed on the basis of the obtained solution with the experimental results was demonstrated. For this, uniaxial tests with nested loading cycles were carried out for samples of low- and high-filled elastomeric nanocomposites with various fillers. At each section of loading and unloading, time holdings were set, which made it possible to neglect the temporal processes taking place in the material, this makes it possible to experimentally find the equilibrium deformation curve. The resulting equilibrium curve can be described using the elastic potential. Having determined the equilibrium (elastic) and finding the dissipative (inelastic) parts of the stress tensor, the viscoelastic response of the considered elastomeric materials was described with high accuracy.