Beex, Lars  ORCID: https://orcid.org/0000-0002-0486-6624, Peerlings, R. H. J. and Geers, M. G. D.
2014.
A multiscale quasicontinuum method for dissipative lattice models and discrete networks.
Journal of the Mechanics and Physics of Solids
64
, pp. 154-169.
10.1016/j.jmps.2013.11.010
|
Abstract
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.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Engineering |
| Subjects: | T Technology > T Technology (General) T Technology > TJ Mechanical engineering and machinery T Technology > TS Manufactures |
| Uncontrolled Keywords: | Multiscale; Quasicontinuum method; Lattice model; Virtual power; Dissipation |
| Publisher: | Elsevier |
| ISSN: | 0022-5096 |
| Last Modified: | 25 Oct 2022 09:03 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/56956 |
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