Application of viscoelastic model for investigating nanocomposites

We consider a problem on application of viscoelasticity models. Casters continuum dynamics problems (micro polar medium) [1,2]. The medium of the nanocomposits is modeled as a periodic system of pairs of one-directed, parallel bars. Each pair contains two elastic or viscoelastic bars contacting between themselves. The materials of the viscoelastic bar is described by Boltzmann-Volterra model with arbitrary hereditary kernels. The relation between the parameters of the Cosser´s medium and characteristics of the bars is defined.