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Article Dans Une Revue Annali dell'Universita di Ferrara Année : 2008

Elastic lattices: equilibrium, invariant laws and homogenization

Résumé

In the recent years, lattice modelling proved to be a topic of renewed interest. Indeed, fields as distant as chemical modelling and biological tissue modelling use network models that appeal to similar equilibrium laws. In both cases, obtaining an equivalent continuous model allows to simplify numerical procedures. We describe an homogenization technique designed for discrete structures that provides a limit continuum mechanics model and, in the special case of hexagonal lattices, we investigate the symmetry properties of the limit constitutive law.
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Dates et versions

hal-00188121 , version 1 (16-11-2007)

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Annie Raoult, Denis Caillerie, Ayman Mourad. Elastic lattices: equilibrium, invariant laws and homogenization. Annali dell'Universita di Ferrara, 2008, 54 (2), pp.297-318. ⟨10.1007/s11565-008-0054-0⟩. ⟨hal-00188121⟩
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