Article (Scientific journals)
An adaptive variational Quasicontinuum methodology for lattice networks with localized damage
Rokos, Ondrej; Peerlings, Ron; Zeman, Jan et al.
2017In International Journal for Numerical Methods in Engineering, 112 (2)
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Keywords :
lattice networks; quasicontinuum method; damage; adaptivity; variational formulation; multiscale modelling
Abstract :
[en] Lattice networks with dissipative interactions can be used to describe the mechanics of discrete meso‐structures of materials such as 3D‐printed structures and foams. This contribution deals with the crack initiation and propagation in such materials and focuses on an adaptive multiscale approach that captures the spatially evolving fracture. Lattice networks naturally incorporate non‐locality, large deformations and dissipative mechanisms taking place inside fracture zones. Because the physically relevant length scales are significantly larger than those of individual interactions, discrete models are computationally expensive. The Quasicontinuum (QC) method is a multiscale approach specifically constructed for discrete models. This method reduces the computational cost by fully resolving the underlying lattice only in regions of interest, while coarsening elsewhere. In this contribution, the (variational) QC is applied to damageable lattices for engineering‐scale predictions. To deal with the spatially evolving fracture zone, an adaptive scheme is proposed. Implications induced by the adaptive procedure are discussed from the energy‐consistency point of view, and theoretical considerations are demonstrated on two examples. The first one serves as a proof of concept, illustrates the consistency of the adaptive schemes and presents errors in energies. The second one demonstrates the performance of the adaptive QC scheme for a more complex problem.
Disciplines :
Civil engineering
Engineering, computing & technology: Multidisciplinary, general & others
Aerospace & aeronautics engineering
Mechanical engineering
Materials science & engineering
Author, co-author :
Rokos, Ondrej;  Eindhoven University of Technology > Mechanical Engineering
Peerlings, Ron;  Eindhoven University of Technology > Mechanical Engineering
Zeman, Jan
Beex, Lars ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
External co-authors :
yes
Language :
English
Title :
An adaptive variational Quasicontinuum methodology for lattice networks with localized damage
Publication date :
12 October 2017
Journal title :
International Journal for Numerical Methods in Engineering
ISSN :
1097-0207
Publisher :
John Wiley & Sons, Hoboken, United States - New Jersey
Volume :
112
Issue :
2
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Computational Sciences
Funders :
GAČR - Grantová Agentura České Republiky [CZ]
Available on ORBilu :
since 31 December 2018

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