Reference : A refinement indicator for adaptive quasicontinuum approaches for structural lattices
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Computational Sciences
http://hdl.handle.net/10993/46414
A refinement indicator for adaptive quasicontinuum approaches for structural lattices
English
Chen, Li mailto [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 mailto [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 mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE) >]
In press
International Journal for Numerical Methods in Engineering
John Wiley & Sons
Yes (verified by ORBilu)
International
0029-5981
1097-0207
Hoboken
NJ
[en] generalized quasicontinuum method ; adaptivity ; refinement indicator ; 3D co-rotational beam ; structural lattices
[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.
Institute of Computational Engineering
F.R.S-FNRS ; Fonds National de la Recherche - FnR ; European Commission - EC
http://hdl.handle.net/10993/46414
10.1002/nme.6629
https://onlinelibrary.wiley.com/doi/10.1002/nme.6629
FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery
FnR ; FNR11019432 > Stéphane Bordas > EnLightenIt > Multiscale Modelling Of Lightweight Metallic Materials Accounting For Variability Of Geometrical And Material Properties > 01/10/2016 > 30/09/2021 > 2015

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