Numerical simulation of nanocomposite mechanics Representative Volume Elements (RVE) that include nanostructural information is a powerful and popular current approach. However, some limitations exist for this method, for example, the large difference between the Young’s moduli of the nanoparticles and the matrix materials causes large strain gradients around the nanoparticles or effective particles which presents numerical difficulties. Also the nanoscale mesh size requires extremely small time steps and therefore high computational costs, especially for dynamic simulations. In the present investigation, an analytical constitutive model is developed by adding the interphase effects and strain gradient effects to a classic spring-dashpot viscoplastic model of polymers. It is shown that this model can predict the constitutive behavior quantitatively. The mechanism of a brittle to ductile transition can also be captured and studied. Useful information for material design can be obtained through parameter study of the current model.

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