Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2014000539
pages 163-180

ERROR CONTROLLED USE OF THE TAYLOR ASSUMPTION IN ADAPTIVE HIERARCHICAL MODELING OF DSS

Robert Lillbacka
FS Dynamics, Molndalsvagen 24, SE-412 63 Goteborg; 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
Department of Applied Mechanics, Chalmers University of Technology, S-412 96 Gothenburg
Kenneth Runesson
Department of Structural Mechanics Chalmers, University of Technology S-41296 Goteborg, Sweden

ABSTRACT

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.


Articles with similar content:

Multiscale Dislocation Dynamics Plasticity
International Journal for Multiscale Computational Engineering, Vol.1, 2003, issue 1
S. M. A. Khan, H. M. Zbib, G. Karami, M. Shehadeh
On the Implementation of Plane Stress in Computational Multiscale Modeling
International Journal for Multiscale Computational Engineering, Vol.4, 2006, issue 5-6
Robert Lillbacka, Kenneth Runesson, Fredrik Larsson
Adaptive Bridging of Scales in Continuum Modeling Based on Error Control
International Journal for Multiscale Computational Engineering, Vol.6, 2008, issue 4
Kenneth Runesson, Fredrik Larsson
Multiscale Total Lagrangian Formulation for Modeling Dislocation-Induced Plastic Deformation in Polycrystalline Materials
International Journal for Multiscale Computational Engineering, Vol.4, 2006, issue 1
Jiun-Shyan Chen, Nasr M. Ghoniem, Xinwei Zhang, Shafigh Mehraeen
SEMI-ANALYTIC NUMERICAL SOLUTION OF HEAT CONDUCTION PROBLEMS USING GREEN'S FUNCTIONS
3rd Thermal and Fluids Engineering Conference (TFEC), Vol.3, 2018, issue
Forooza Samadi, Keith A Woodbury