FIRST SEMINAR ON THE MECHANICS OF MULTIFUNCTIONAL MATERIALS A DATABASE APPROACH TO HOMOGENIZATION

Abstract. In this contribution, an adaptive numerical homogenization technique is described for macroscopically anisotropic, nonlinearly elastic heterogeneous materials. The concept of a material map, where one identifies the constitutive behavior of a material in a discrete sense through interpolation among various RVE states in the stress-strain space, is discussed together with its implementation in the finite element method. The homogenization of the heterogeneous material is then realized through the computation of its material map. An application of this ap-proach to the analysis of a two-scale periodic particulate composite is presented in an adaptive multi-level finite element setting that renders the methodology applicable over a wide range of deformations.