Elastic waves in phononic granular membranes

Hélène Pichard , Aroune Duclos (1) , Jean-Philippe Groby (2) , Vincent Tournat (2) , Vitali Goussev

1 LMFA - Laboratoire de Mecanique des Fluides et d'Acoustique
2 LAUM - Laboratoire d'Acoustique de l'Université du Mans

Elastic membranes composed of a few number of interacting articles/nanoparticles or grains layers can be encountered in different applications including sensors and filters for the individual molecules. Membranes, which are constructed through spatially periodic assembling of particles, exhibit phononic properties, interesting in view of the possible nondestructive testing of these membranes or in view of their applications to control elastic waves propagation. Some results on the elastic properties of multilayered phononic granular membranes, where each particle possesses up to 3 translational and 3 rotational degrees of freedom, are reported. The specific feature of granular metamaterials is known to be an efficient interaction between the shear and the rotational elastic motions of the grains, which leads to the existence of the mixed shear/rotational elastic modes [Phys. Rev. E 82, 031305 (2010)]. The influence of number of granular layers, of bending and spin rigidity of the inter-grain contacts on the phononic properties of granular membranes is analyzed.

Domaines: Acoustique [physics.class-ph]

Hélène Pichard, Aroune Duclos, Jean-Philippe Groby, Vincent Tournat, Vitali Goussev. Elastic waves in phononic granular membranes. Acoustics 2012, Apr 2012, Nantes, France. ⟨hal-00810600⟩