[hal-00833322, v1] Phase property identification using inverse homogenization approaches and field measurements

In this paper, work is focused on two-phase matrix/inclusion composite materials. A simple method is proposed to identify the elastic properties of one phase while the properties of the other phase are assumed to be known. The method is based on both an inverse homogenization scheme and mechanical fields measurements. The originality of the approach rests on the studied scale: the characteristic size of the inclusions is about few tens of microns. The identification is performed on standard uniaxial tensile tests. First, the accuracy of the method is estimated on ’perfect’ mechanical fields coming from numerical simulations for four microstructures: elastic or porous single inclusions having either spherical or cylindrical shape. Second, this accuracy is validated on real mechanical field for two simple microstructures: an elasto-plastic metallic matrix containing a single cylindrical micro void or four cylindrical micro voids arranged in a square pattern. Third, the method is used to identify elastic properties of inclusions with arbitrary shape in an oxidized α-inclusions / β-matrix Zircaloy-4 sample. In all this study, the phases are assumed to have isotropic properties.