title: Low frequency locally resonant metamaterials containing composite inclusions.
abstract: One main feature of metamaterials is the occurrence of a negative dynamic mass density that is produced when an inner local resonance is present. The inner resonance can be obtained in composite materials containing composite inclusions. For suitable ratios of the physical properties of the constituting materials, the composite inclusions act as spring-mass systems. The scaling of physical properties leading to such an inner resonance and the associated effective dynamic properties of materials containing composite inclusions are briefly recalled. The resonance frequencies and dynamic mass densities are obtained in a closed form for materials containing cylindrical composite fibers or spherical composite inclusions, after solving the related boundary value elasticity problems.
authors.affiliation: Université Paris-Est, Laboratoire Modélisation et Simulation Multi-Echelle, Unité Mixte de Recherche 8208, Centre National de la Recherche Scientifique, 5 Boulevard Descartes, 77454 Marne la Vallée Cedex, France.
authors.forename: Guy
authors.initials: G
authors.lastname: Bonnet
authors.affiliation: Université Paris-Est, Laboratoire Modélisation et Simulation Multi-Echelle, Unité Mixte de Recherche 8208, Centre National de la Recherche Scientifique, 5 Boulevard Descartes, 77454 Marne la Vallée Cedex, France.
authors.forename: Vincent
authors.initials: V
authors.lastname: Monchiet