Abstract
We first show the advantage of dealing with finite composite patterns instead of points in order to take morphological features of inhomogeneous materials into account in the derivation of their overall behaviour. The method allows the derivation of new bounds, tighter than the classical ones, for the Composite Spheres Assemblage and a new definition as well as an extension of the Generalized Self-Consistent Scheme in the case of linear elasticity. A comparison of the classical and the generalized self-consistent predictions is then performed in the case of non ageing linear viscoelasticity: the relaxation spectra of a two-phase isotropic material with Maxwellian incompressible constituents exhibit strong differences according to the choice of the model, what reflects the influence of the phase connectedness. The case of nonlinear viscoelasticity is then addressed and a new formulation, applying both to the classical and the generalized self-consistent schemes, is proposed and illustrated.
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Zaoui, A., Rougier, Y., Stolz, C. (1995). Micromechanical Modelling Based on Morphological Analysis; Application to Viscoelasticity. In: Pyrz, R. (eds) IUTAM Symposium on Microstructure-Property Interactions in Composite Materials. Solid Mechanics and Its Applications, vol 37. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0059-5_35
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DOI: https://doi.org/10.1007/978-94-011-0059-5_35
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