Reference : Higher-order quasicontinuum methods for elastic and dissipative lattice models: uniax...
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Computational Sciences
http://hdl.handle.net/10993/21832
Higher-order quasicontinuum methods for elastic and dissipative lattice models: uniaxial deformation and pure bending
English
Beex, Lars mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Rokos, Ondrej [Czech Technical University in Prague > Civil Engineering > > Post-doctoral researcher]
Zeman, Jan [Czech Technical University in Prague > Civil Engineering > > Associate Professor]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
3-Sep-2015
GAMM Mitteilungen
Wiley
38
2
344-368
Yes
International
0936-7195
[en] Quasicontinuum method ; Multiscale ; Lattice model ; Higher-order ; Pure bending
[en] The quasicontinuum (QC) method is a numerical strategy to reduce the computational cost of direct lattice computations - in this study we achieve a speed up of a factor of 40. It has successfully been applied to (conservative) atomistic lattices in the past, but using a virtual-power-statement it was recently shown that QC approaches can also be used for spring and beam lattice models that include dissipation. Recent results have shown that QC approaches for planar beam lattices experiencing in-plane and out-of-plane deformation require higher-order interpolation. Higher-order QC frameworks are scarce nevertheless. In this contribution, the possibilities of a second-order and third-order QC framework are investigated for an elastoplastic spring lattice. The higher-order QC frameworks are compared to the results of the direct lattice computations and to those of a linear QC scheme. Examples are chosen so that both a macroscale and a microscale quantity influences the results. The two multiscale examples focused on are (i) macroscopically prescribed uniaxial deformation and (ii) macroscopically prescribed pure bending. Furthermore, the examples include an individual inclusion in a large lattice and hence, are concurrent in nature.
Researchers ; Professionals
http://hdl.handle.net/10993/21832
10.1002/gamm.201510018
The original publication is available at www.wiley.com

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