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International Journal for Multiscale Computational Engineering

ISSN for PRINT: 1543-1649

Institutional price:	$747.00
Issues per year:	6

Best Paper Award Selection - Editorial Board Site

2006, Volume4

271 pages

DOI: 10.1615/IntJMultCompEng.v4.i5-6

Issue price - $256.00

On the Implementation of Plane Stress in Computational Multiscale Modeling

Robert Lillbacka
Chalmers University of Technology, Department of Applied Mechanics, SE-412 96 Göteborg; and Swedish National Testing and Research Institute (SP), Brinellgatan 4, Box 857, SE-50115 Borås, Sweden

Fredrik Larsson
Chalmers University of Technology

Kenneth Runesson
Department of Structural Mechanics, Chalmers University of Technology, SE-412 96 Göteborg, Sweden

ABSTRACT

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.