Elastic Wave Band Gaps in a Bio-Inspired Phononic Crystal

Reference	Presenter	Authors (Institution)	Abstract
03-015	Edson Jansen Pedrosa Miranda Jr.	Miranda Jr., E.J.(Universidade Estadual de Campinas/Instituto Federal de Educação, Ciência e Tecnologia do Maranhão); Dos Santos, J.M.(Universidade Estadual de Campinas);	Phononic crystals are artificial periodic composites designed to exhibit phononic band gaps where there are no mechanical (elastic or acoustic) propagating waves. In these range of frequency, there are only evanescent waves. They consist of a periodic array of inclusions embedded in a matrix. The ability of creating phononic band gaps is similar to the electronic and photonic band gaps in semiconductors or insulators and photonic crystals, respectively. In this study, we investigate theoretically the band structure of elastic waves propagating in a bio-inspired phononic crystal, consisting of a polyether ether ketone matrix reinforced by carbon inclusions in square and triangular lattices. We also study the influence of the carbon cross section geometry – circular, hollow circular, square and rotated square with a 45° angle of rotation with respect to the x, y axes. Plane wave expansion method is used to solve the wave equation considering wave propagation in the xy plane. Full band gaps between XY and Z modes are observed for circular, square and rotated square carbon cross sections and the best performance is for rotated square carbon cross section in a square lattice. We suggest that the bio-inspired phononic crystal considered is feasible for elastic vibration management.
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