Abstract

ABSTRACTThis study provides an asymptotic generalized self-consistent scheme for viscoelastic composites. The effective rheological properties are derived without using the inverse Laplace–Carson transform. It is shown that a viscoelastic composite made of a viscoelastic matrix and elastic inclusions can be perfectly represented by the same rheology of the matrix of which the effective rheological properties are functions of the viscoelastic properties of the matrix and the volume fraction as well as the elastic moduli of the inclusions. The solutions obtained herein can be also employed to study viscoelastic composites containing multi-coated inclusions or inclusions with imperfect interfaces.

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