RT Journal Article ID 65f153bb1b2bd000 A1 Lillbacka, Robert A1 Larsson, Fredrik A1 Runesson, Kenneth T1 ERROR CONTROLLED USE OF THE TAYLOR ASSUMPTION IN ADAPTIVE HIERARCHICAL MODELING OF DSS JF International Journal for Multiscale Computational Engineering JO JMC YR 2015 FD 2015-03-06 VO 13 IS 2 SP 163 OP 180 K1 adaptive modeling K1 goal-oriented adaptivity K1 computational homogenization K1 duplex stainless steel AB A strategy for macroscale modeling adaptivity in fully nested two-scale computational (first-order) homogenization based on assumed scale separation is proposed. The representative volume element (RVE) for a substructure pertinent to duplex stainless steel is considered with its typical phase morphology, whereby crystal plasticity with hardening is adopted for the subscale material modeling. The quality of the macroscale constitutive response depends on, among the various assumptions regarding the modeling and discretization, the choice of a prolongation condition defining the deformation mapping from the macro- to the subscale This is the sole source of model error discussed in the present contribution. Two common choices are (in hierarchical order) (1) a "simplified" model based on homogeneous (macroscale) deformation within the RVE, that is the Taylor assumption, and (2) a "reference" model employing Dirichlet boundary conditions on the RVE, which is taken as the exact model in the present context. These errors are assessed via computation of the pertinent dual problem. The results show that both the location and the number of qudrature points where the reference model is employed depend on the chosen goal function. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,7132a71b3cf0c1d3,65f153bb1b2bd000.html