Coupled multi-inclusion and multi-coating micromechanics modeling of viscoelastic composite materials
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Previously, a methodology for estimating the effective elastic moduli of composite materials based upon a coupled multi-inclusion, multi-coating Mori-Tanaka micromechanics technique was developed. This work is extended in the current study by applying the correspondence principle in viscoelasticity. A generalized form of the fourth-rank effective relaxation tensor was developed in which any combination of viscoelastic and/or elastic materials can be simulated. Effective viscoelastic properties for composites containing a variety of reinforcements were examined, including viscoelastic spheroids embedded in a viscoelastic matrix and elastic fibers with a viscoelastic interphase embedded in a viscoelastic matrix. Estimated composite storage and loss moduli showed good agreement with available values from the literature. By generalizing this coupled multi-inclusion, multi-coating micromechanics technique to account for viscoelastic material behavior, an accurate prediction of the frequency response of heterogeneous materials can be obtained.
