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Numerical modeling of atomistic‐to‐continuum coupling based on bridging domain method
Author(s) -
Marenić Eduard,
Sorić Jurica,
Tonković Zdenko
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110259
Subject(s) - spurious relationship , weighting , bridging (networking) , lagrange multiplier , domain decomposition methods , coupling (piping) , interpolation (computer graphics) , statistical physics , computer science , physics , materials science , mathematics , finite element method , classical mechanics , mathematical optimization , thermodynamics , motion (physics) , computer network , machine learning , acoustics , metallurgy
Nano‐submodeling is an approach that enables insertion of nano‐refined submodel (atomistic) in the global model (continuum). In this work analysis of the spurious effects that may arise in the concurrent atomistic‐to‐continuum coupling is performed. The coupling is based on the overlapping domain decomposition (ODD) method called bridging domain [1, 2] (similar is Arlequin [3] method) where different models are overlapped and the displacements compatibility is enforced via Lagrange multipliers (LM). Some coupling options such as energy weighting, coupling zone geometry and LM field interpolation are tested. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)