Reference : A multiscale quasicontinuum method for dissipative lattice models and discrete networks
Scientific journals : Article
Engineering, computing & technology : Materials science & engineering
Computational Sciences
A multiscale quasicontinuum method for dissipative lattice models and discrete networks
Beex, Lars mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Peerlings, Ron [Eindhoven University of Technology > Mechanical Engineering > > Associate Professor]
Geers, Marc [Eindhoven University of Technology > Mechanical Engineering > > Professor]
Journal of the Mechanics & Physics of Solids
Pergamon Press - An Imprint of Elsevier Science
Yes (verified by ORBilu)
United Kingdom
[en] Multiscale ; Quasicontinuum method ; Lattice model ; Virtual-power ; Dissipation
[en] Lattice models and discrete networks naturally describe mechanical phenomena at the mesoscale of fibrous materials. A disadvantage of lattice models is their computational cost. The quasicontinuum (QC) method is a suitable multiscale approach that reduces the computational cost of lattice models and allows the incorporation of local lattice defects in large-scale problems. So far, all QC methods are formulated for conservative (mostly atomistic) lattice models. Lattice models of fibrous materials however, often require non-conservative interactions. In this paper, a QC formulation is derived based on the virtual-power of a non-conservative lattice model. By using the virtual-power statement instead of force-equilibrium, errors in the governing equations of the force-based QC formulations are avoided. Nevertheless, the non-conservative interaction forces can still be directly inserted in the virtual-power QC framework. The summation rules for energy-based QC methods can still be used in the proposed framework as shown by two multiscale examples.

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