%0 Journal Article
%A Lillbacka, Robert
%A Larsson, Fredrik
%A Runesson, Kenneth
%D 2006
%I Begell House
%N 5-6
%P 771-790
%R 10.1615/IntJMultCompEng.v4.i5-6.110
%T On the Implementation of Plane Stress in Computational Multiscale Modeling
%U http://dl.begellhouse.com/journals/61fd1b191cf7e96f,1b4adbb73e2792e0,7a96f9645ae66d6b.html
%V 4
%X Different aspects of the plane stress condition in concurrent two-scale computational (first-order) homogenization are discussed. The basic ingredient in computational homogenization is the calculation of the macroscale stress, for given macroscale deformation, via computations on a representative volume element (RVE). Two modeling assumptions are compared: The subscale (Hill-type) and macroscale-type (Taylor-type) plane stress conditions. The corresponding iterative strategies and the macroscale algorithmic tangent operators are derived using the primal (conventional) approach. The performance of the various iterative strategies are compared for a single RVE problem as well as in a fully concurrent analysis of a complex substructure (duplex stainless steel) under realistic subscale modeling based on crystal plasticity with hardening.
%8 2007-02-08