Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
WAVE PROPAGATION IN CRACKED 1D PHONONIC CRYSTAL BY THE WAVE SPECTRAL ELEMENT METHOD
Submission Author:
Helio Cantanhêde , SE
Co-Authors:
Helio Cantanhêde, Adriano Goto, Jose Maria Campos dos Santos
Presenter: Helio Cantanhêde
doi://10.26678/ABCM.COBEM2019.COB2019-0571
Abstract
In this paper, we investigate the wave propagation and the band gap creation in 1D phononic crystal (PC) rods with periodic cracks using the Wave Spectral Element method (WSE). WSE consists of the combination the Spectral Element Method (SEM) with the Floquet-Bloch’s theorem. PCs are artificial periodic structures with high impedance distinction of material property and/or geometry which can generate band gaps, where waves are forbidden to propagate. Cracks are modeled as mass-less translational springs using Castigliano’s theorem and fracture mechanic laws. They are embedded in different locations along the PC. In the paper, it is analyzed how the crack flexibility and position influences the responses obtained and in the formation of band gaps. The results are compared with that obtained with PC without crack.
Keywords
Phononic Crystals, band gaps, wave propagation, crack
