Reference : An adaptive variational Quasicontinuum methodology for lattice networks with localize...
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Engineering, computing & technology : Aerospace & aeronautics engineering
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Computational Sciences
http://hdl.handle.net/10993/37892
An adaptive variational Quasicontinuum methodology for lattice networks with localized damage
English
Rokos, Ondrej [Eindhoven University of Technology > Mechanical Engineering]
Peerlings, Ron [Eindhoven University of Technology > Mechanical Engineering]
Zeman, Jan []
Beex, Lars mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
12-Oct-2017
International Journal for Numerical Methods in Engineering
John Wiley & Sons
112
2
Yes (verified by ORBilu)
International
0029-5981
1097-0207
Hoboken
NJ
[en] lattice networks ; quasicontinuum method ; damage ; adaptivity ; variational formulation ; multiscale modelling
[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.
Czech Science Foundation
http://hdl.handle.net/10993/37892

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