Article (Scientific journals)
A refinement indicator for adaptive quasicontinuum approaches for structural lattices
Chen, Li; Berke, Peter; Massart, Thierry et al.
In pressIn International Journal for Numerical Methods in Engineering
Peer Reviewed verified by ORBi
 

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Keywords :
generalized quasicontinuum method; adaptivity; refinement indicator; 3D co-rotational beam; structural lattices
Abstract :
[en] The quasicontinuum method is a concurrent multiscale approach in which lattice models are fully resolved in small regions of interest and coarse-grained elsewhere. Since the method was originally proposed to accelerate atomistic lattice simulations, its refinement criteria – that drive refining coarse-grained regions and/or increasing fully-resolved regions – are generally associated with quantities relevant to the atomistic scale. In this contribution, a new refinement indicator is presented, based on the energies of dedicated cells at coarse-grained domain surfaces. This indicator is incorporated in an adaptive scheme of a generalization of the quasicontinuum method able to consider periodic representative volume elements, like the ones employed in most computational homogenization approaches. However, this indicator can also be used for conventional quasicontinuum frameworks. Illustrative numerical examples of elastic indentation and scratch of different lattices demonstrate the capabilities of the refinement indicator and its impact on adaptive quasicontinuum simulations.
Research center :
Institute of Computational Engineering
Disciplines :
Civil engineering
Aerospace & aeronautics engineering
Materials science & engineering
Mechanical engineering
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Chen, Li ;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)
Berke, Peter;  Université Libre de Bruxelles - ULB > Building, Architecture & Town Planning > Professor
Massart, Thierry;  Université Libre de Bruxelles - ULB > Building, Architecture & Town Planning > Professor
Beex, Lars ;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)
Magliulo, Marco;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Bordas, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)
External co-authors :
yes
Language :
English
Title :
A refinement indicator for adaptive quasicontinuum approaches for structural lattices
Publication date :
In press
Journal title :
International Journal for Numerical Methods in Engineering
ISSN :
1097-0207
Publisher :
John Wiley & Sons, Hoboken, United States - New Jersey
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Computational Sciences
European Projects :
FP7 - 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery
FnR Project :
FNR11019432 - Multiscale Modelling Of Lightweight Metallic Materials Accounting For Variability Of Geometrical And Material Properties, 2015 (01/10/2016-30/09/2021) - Stéphane Bordas
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
FNR - Fonds National de la Recherche [LU]
CE - Commission Européenne [BE]
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since 01 March 2021

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