Homogenization of hexagonal lattices

Hervé Le Dret (1) , Annie Raoult (2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5

We characterize the macroscopic effective mechanical behavior of a graphene sheet modeled by a hexagonal lattice of elastic bars, using Gamma-convergence.

Mots clés: Graphene sheet; homogenization; Gamma-convergence; Cauchy-Born rule

Domaines: Equations aux dérivées partielles [math.AP]

Hervé Le Dret, Annie Raoult. Homogenization of hexagonal lattices. Networks and Heterogeneous Media, 2013, 8 (2), pp.541-572. ⟨10.3934/nhm.2013.8.541⟩. ⟨hal-00603751v2⟩