Effective properties of n-coated composite spheres assemblage in an ageing linear viscoelastic framework

The homogenization scheme based on n-coated spherical inclusion morphology, also called Generalized Self-Consistent (GSC) scheme, is derived in an ageing linear viscoelastic framework by using a formal treatment in terms of Volterra integral operator. Estimations of the bulk and shear relaxation functions as well as the creep functions are provided by numerical evaluation of the integral operator. The resulting (semi-)analytical estimations are compared to numerical simulations by Finite Elements Method (FEM) on 2-phase and 3-phase 3D numerical samples, and to Mori-Tanaka estimations in the 2-phase case.