Abstract

HERNANDEZ CABANAS, H.; OTERO, José A.; MONSIVAIS, Guillermo  and  RODRIGUEZ-RAMOS, Reinaldo. Homogenization of periodical ellipsoidal inclusions composites. Nova scientia [online]. 2015, vol.7, n.14, pp.286-313. ISSN 2007-0705.

Composites are vital to humans since the earliest time; today the use of these materials has proliferated in the industry due to the presence of physical properties not present in any of its components separately. One of the problems facing modern science is previously know the composites properties. Homogenization methods are used to calculate the effective properties of composite materials. In this paper the formulation of asymptotic homogenization method for three-dimensional composites and transformation of local problems from the symmetries present in a composite with periodical ellipsoidal inclusions are presented. The local problems resolution is formulated by finite element method using four-node tetrahedral elements in the problem's discretization. Numerical calculations for obtaining the effective coefficients in material with periodical ellipsoidal aluminum inclusions embedded in a matrix are made. The matrix is a composite of periodical esferical silicon carbide inclusions in an aluminum matrix. Some obtained results for this composite by varying the volume fraction of silicon carbide for different aspect ratios of the ellipsoidal inclusions are shown. It is observed that in the case of isotropic constituents, with a composite's geometry having a predominant direction, the resulting material loses isotropic property.

Keywords : composites; homogenization method; finite element method; effective properties.