The study of phononic materials and structures is an emerging discipline that lies at the
crossroads of vibration and acoustics engineering and condensed matter physics. Broadly …

Metamaterials and phononic crystals (PCs) with artificially designed periodic microstructures
have attracted increasing research interests due to their unique properties that cannot be …

Phononic crystals are composite materials made of periodic distributions of inclusions
embedded in a matrix. Due to their periodic structure, these materials may exhibit under …

Negative refraction of acoustic waves in two-dimensional phononic crystals has been
demonstrated through both analysis and exact numerical simulation. The methods to …

We develop a formalism for the calculation of the frequency band structure of a phononic
crystal consisting of nonoverlap** elastic spheres, characterized by Lamé coefficients …

We perform extensive band structure computation for two-dimensional 2D periodic arrays of
rigid stainless steel cylinders in air, with Bloch vector being perpendicular to the cylinders …

We present a review, through selected illustrative examples, of the physics of classical
vibrational modes in phononic lattices, which elaborates on the theory, the formalism, the …

Phononic crystals (PnCs) and acoustic metamaterials (AMMs) are artificially architected
materials endowed with the capabilities of wave manipulation. This review specifically …

Transmission of acoustic waves in two-dimensional binary solid/solid composite media
composed of arrays of Duralumin cylindrical inclusions embedded in an epoxy resin matrix …

We present an application of the higher order asymptotic homogenization method (AHM) to
the study of wave dispersion in periodic composite materials. When the wavelength of a …