General mean-field homogenization schemes for viscoelastic composites containing multiple phases of coated inclusions
(2006) International Journal of Solids and Structures — Vol. 43, n° 9, p. 2513-2541 (2006)
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- We consider matrix materials reinforced with multiple phases of coated inclusions. All materials are linear viscoelastic. We present general schemes for the prediction of the effective properties based on mean-field homogenization. There are four contributions in this work. First, we present a two-step homogenization procedure in a general setting which besides the usual assumptions of Eshelby-based models, does not suffer any restriction in terms of material properties, aspect ratio or orientation. Second, for a matrix reinforced with coated inclusions, we propose two general homogenization schemes, a two-step method and a two-level recursive scheme. We develop and compare the mathematical expressions obtained by the two schemes and a generalized Mori-Tanaka (M-T) model. Third, for a two-phase composite, either standalone or stemming from two-step or two-level schemes, we use a double-inclusion model based on a closed-form but non-trivial interpolation between M-T and inverse M-T estimates. Fourth, we conduct an extensive validation of the proposed schemes as well as others against experimental data and unit cell finite element simulations for a variety of viscoelastic composite materials. Under severe conditions, the proposed schemes perform much better than other existing homogenization methods. (c) 2005 Elsevier Ltd. All rights reserved.
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Friebel, C., Doghri, I., & Legat, V. (2006). General mean-field homogenization schemes for viscoelastic composites containing multiple phases of coated inclusions. International Journal of Solids and Structures, 43(9), 2513-2541. https://doi.org/10.1016/j.ijsolstr.2005.06.035 (Original work published 2006)