Article (Scientific journals)
Higher-order quasicontinuum methods for elastic and dissipative lattice models: uniaxial deformation and pure bending
Beex, Lars; Rokos, Ondrej; Zeman, Jan et al.
2015In GAMM Mitteilungen, 38 (2), p. 344-368
Peer reviewed
 

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Keywords :
Quasicontinuum method; Multiscale; Lattice model; Higher-order; Pure bending
Abstract :
[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.
Disciplines :
Aerospace & aeronautics engineering
Physics
Physical, chemical, mathematical & earth Sciences: Multidisciplinary, general & others
Engineering, computing & technology: Multidisciplinary, general & others
Mechanical engineering
Materials science & engineering
Civil engineering
Author, co-author :
Beex, Lars ;  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 ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
External co-authors :
yes
Language :
English
Title :
Higher-order quasicontinuum methods for elastic and dissipative lattice models: uniaxial deformation and pure bending
Publication date :
03 September 2015
Journal title :
GAMM Mitteilungen
ISSN :
0936-7195
Publisher :
Wiley
Volume :
38
Issue :
2
Pages :
344-368
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
Available on ORBilu :
since 31 August 2015

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