Mathematical Modeling of Thin Linearly Quasicrystalline Plates

Thibaut Weller (1, 2) , Christian Licht (1, 2)

1 LMGC - Laboratoire de Mécanique et Génie Civil
2 M3 - Mathématiques et Modélisations en Mécanique

We derive a theory of thin linearly quasicrystalline plates by studying the limit behavior of a three-dimensional flat body as its thickness tends to zero. We exhibit the existence of a surprisingly high number of models, each of them linked to a specific set of boundary conditions. As such, these results show that quasicrystals behave as smart materials.

Domaines: Mécanique des matériaux [physics.class-ph]

Thibaut Weller, Christian Licht. Mathematical Modeling of Thin Linearly Quasicrystalline Plates. XXIV ICTAM , Aug 2016, Montréal, Canada. ⟨hal-01367485⟩