Identification of the mesoscale model of a microstructure in using experimental measurements with an image field method and one specimen
Biomechanical materials, as cortical bones, are complex materials to be modeled with respect to the complexity level of their constitutive materials at the micro-scale. At micro-scale, this material is not only non homogenous and random but it also cannot be described in terms of mechanical constituents. It is the reason why a meso-scale is considered and for which the medium is modeled with apparent properties represented by an elasticity-tensor random field. A complete methodology is proposed for the experimental identification of the random field at meso-scale (1) using image field measurements at macro- and meso-scales, (2) introducing three numerical indicator quantifying distances between the experimental measurements and a probabilistic computational model for simulating the experimental measurements. An application will be presented for cortical bone with experimental measurements performed on only one specimen at macro and meso-scale simultaneously for a given specimen submitted to a given load.