Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 83, Issue 8-9, Pages 1081-1113Publisher
WILEY-BLACKWELL
DOI: 10.1002/nme.2879
Keywords
Arlequin framework; global energy minimization; dead forces; corrective method
Funding
- U.S. Department of Energy [DE-G02-05ER25701]
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The main objective of this work is to identify spurious effects and propose a corrective method when coupling a particle model involving long range interaction potentials with a first gradient homogenized model using the Arlequin framework. The most significant spurious effects are generally created by the so-called ghost forces that arise in coupling methods based on the minimization of a global energy functional. They depend as well on the coupling formulation itself, on the notion of representative volume element, and on the discretization of the continuum model. The proposed corrective technique is based on post-processing of the approximate solution by introducing dead forces that can be systematically evaluated and consistently inserted within the Arlequin formulation. Efficiency of the corrective procedure is demonstrated on ID and 2D examples. Copyright (C) 2010 John Wiley & Sons, Ltd.
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