Straightforward mathematical modeling of the time-dependent behavior of non-ageing viscoelastic composites with multi-coated inclusions

In this paper a straightforward mathematical approach in time domain is elaborated to predict the effective time behavior of non ageing viscoelastic composites with multi-coated inclusions. The developed modeling stands on the dynamic Green's tensor, integral equations in Stieltjes space and the interfacial operators. The Mori-Tanaka mean field approach is considered. Straightforward expressions of the effective behavior are obtained in time domain for various coating types. Based on the predicted time dependent effective properties, the overall response of the composite is investigated for uniaxial and multi-axial time dependent loadings. Various numerical results are presented versus volume fraction, shape of inclusions and the coating thickness.