Dynamics of Finite Phononic Crystals and Metamaterials
Al Ba'ba'a, Hasan
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Phononic materials (PMs) are artificially engineered materials that exhibit a periodic variation in their mechanical or geometric properties which culminate in unprecedented bulk properties which are not readily available in naturally occurring materials. Owing to their unique ability to manipulate wave propagation within their medium, PMs have witnessed a spurt in research activity in the last few decades primarily due to the formation of frequency band gaps where wave propagation is effectively blocked without the use of dissipation mechanisms. The existence of band gaps in such optimally engineered materials is predicted based on the constitutive unit cell dynamics which automatically assume an infinitely long PM. The unit cell analysis provides the full potential of a PM, but does not guarantee the same performance in a finite PM comprising a number of unit cells; a lingering issue that has not been sufficiently addressed in literature. To address this shortcoming, this dissertation presents an analytical, computational, and experimental studies on finite PMs with its various types: Phononic Crystals (PCs) and Acoustic Metamaterials (AMs).