On the adaptive use of the Taylor assumption in computational homogenization of thin metal sheets

A strategy for macroscale modeling adaptivity in fully nested two-scale computational (first order) homog- enization based on assumed scale separation is proposed. The Representative Volume Element (RVE) for a quite complex substructure pertinent to Duplex Stainless Steel (DSS) is considered, whereby crystal plasticity is adopted for the subscale material modeling. The choice of the pertinent prolongation condition defining the deformation mapping from the macro- to the subscale is the sole source of model error discussed here. Two common choices are (in hierarchical order): (1) ”simplified” model based on homogeneous (macroscale) deformation within the RVE, i.e., the Taylor assumption, (2) ”reference” model employing Dirichlet boundary conditions on the RVE.