Ponente
Descripción
Consider 2D two-phase composites with circular inclusions whit interfaces. Analytical formulae for the effective constants are deduced using the asymptotic homogenization method (AHM), for rhombic three-phase fibrous periodic composites. The constituents of the composites exhibit transversely isotropic properties. A doubly periodic parallelogram array of cylindrical inclusions under longitudinal conductivity is considered.
The results obtained are applied to study the gain in the conductivity of the composite where the fiber cross-section is a ring. On the other hand, the analytical expressions obtained allow to study the gain in the effective conductivity tensor for unidirectionally arbitrary distributed cylinders when the contact between the components is not perfect, by means of reiterated homogenization. As validation of the present method, some numerical examples and comparisons with theoretical results are showed. The model is efficient for the analysis of composites with presence of imperfect interface and parallelogram cell.
