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2024 | OriginalPaper | Chapter

Wave Propagation and Manipulation in Sierpinski Fractal Phononic Crystals

Authors : Victor Gustavo Ramos Costa Dos Santos, Edson Jansen Pedrosa de Miranda Jr., José Maria Campos Dos Santos

Published in: Proceedings of the 8th International Symposium on Solid Mechanics

Publisher: Springer Nature Switzerland

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Abstract

The chapter delves into the study of wave propagation in heterogeneous elastic and acoustic media, with a particular focus on phononic crystals (PnC) and their ability to create frequency bands called band gaps. It explores the unique properties of Sierpinski fractal phononic crystals and the impact of fractal-shaped inclusions on their band structures. The work introduces Locally Resonant Phononic Crystals (LRPnC), which combine locally resonant inclusions with PnC, leading to promising applications such as vibration attenuation and soundproofing. The mathematical formulation using the Plane Wave Expansion (PWE) method is detailed, and the results show the formation of band gaps and the influence of fractal hierarchical order on wave attenuation. The chapter concludes with a discussion on the potential applications and future research directions in this field.
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Metadata
Title
Wave Propagation and Manipulation in Sierpinski Fractal Phononic Crystals
Authors
Victor Gustavo Ramos Costa Dos Santos
Edson Jansen Pedrosa de Miranda Jr.
José Maria Campos Dos Santos
Copyright Year
2024
Book
Proceedings of the 8th International Symposium on Solid Mechanics

Print ISBN: 978-3-031-59803-6

Electronic ISBN: 978-3-031-59804-3

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-3-031-59804-3_10

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