Attenuation of Rayleigh and pseudo surface waves in saturated soil by seismic metamaterials

authored by: Runcheng Cai, Yabin Jin, Bahram Djafari-Rouhani, Shuwei Zhou, Peixin Chen, Timon Rabczuk, Hehua Zhu, Xiaoying Zhuang
Abstract: Seismic metamaterials have received extensive research interest due to their bandgap properties, simplicity in design principles, and stability in response. They have been developed to protect buildings or architectures susceptible to damage from surface elastic waves. In practice, the ground soil is generally a multiphase medium, and the influence of its permeability and viscosity on seismic metamaterials is not yet clear. In this work, we developed a formulation that combines Biot's theory and Bloch-Floquet theorem to investigate the complex band structures and transmission properties of Rayleigh and pseudo surface waves (PSWs) for pillared and inclusion-embedded seismic metamaterials in saturated soil. It is shown that the ratio of fluid viscosity and permeability η/κ have an impact on the surface wave attenuation and the performances of seismic metamaterials, where the smaller ratio benefits the surface wave broadband attenuation and metamaterials attenuating effects. The complex band structures reveal that inclusion-embedded metamaterials can support the propagation of PSWs having a phase velocity higher than that of the transverse bulk waves. The PSWs are significantly affected by the rubber viscosity due to the mode displacements concentrated in the rubber coatings. The higher viscosity of metamaterials also allows for broadband attenuation of Rayleigh surface waves. The results of this study will present an appropriate way to design viscoelastic seismic metamaterials in saturated soil for low-frequency surface wave attenuation.
Organisation(s): Faculty of Mathematics and Physics
External Organisation(s): Tongji University
Lille 1 University of Science and Technology
Bauhaus-Universität Weimar
Shanghai Tunnel Engineering Company Ltd.
Type: Article
Journal: Computers and geotechnics
Volume: 165
No. of pages: 12
ISSN: 0266-352X
Publication date: 01.2024
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Geotechnical Engineering and Engineering Geology, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.compgeo.2023.105854 (Access: Closed)

BibTeX

@article{2dfc96a4d7414376ba35e84086bf39de,
title = "Attenuation of Rayleigh and pseudo surface waves in saturated soil by seismic metamaterials",
abstract = "Seismic metamaterials have received extensive research interest due to their bandgap properties, simplicity in design principles, and stability in response. They have been developed to protect buildings or architectures susceptible to damage from surface elastic waves. In practice, the ground soil is generally a multiphase medium, and the influence of its permeability and viscosity on seismic metamaterials is not yet clear. In this work, we developed a formulation that combines Biot's theory and Bloch-Floquet theorem to investigate the complex band structures and transmission properties of Rayleigh and pseudo surface waves (PSWs) for pillared and inclusion-embedded seismic metamaterials in saturated soil. It is shown that the ratio of fluid viscosity and permeability η/κ have an impact on the surface wave attenuation and the performances of seismic metamaterials, where the smaller ratio benefits the surface wave broadband attenuation and metamaterials attenuating effects. The complex band structures reveal that inclusion-embedded metamaterials can support the propagation of PSWs having a phase velocity higher than that of the transverse bulk waves. The PSWs are significantly affected by the rubber viscosity due to the mode displacements concentrated in the rubber coatings. The higher viscosity of metamaterials also allows for broadband attenuation of Rayleigh surface waves. The results of this study will present an appropriate way to design viscoelastic seismic metamaterials in saturated soil for low-frequency surface wave attenuation.",
keywords = "Complex band structures, Pseudo surface waves, Rayleigh surface waves, Saturated soil, Seismic metamaterials",
author = "Runcheng Cai and Yabin Jin and Bahram Djafari-Rouhani and Shuwei Zhou and Peixin Chen and Timon Rabczuk and Hehua Zhu and Xiaoying Zhuang",
note = "Funding Information: This work is supported by the National Natural Science Foundation of China (No. 12272267 , No. 52278411 ), the Young Elite Scientists Sponsorship Program by CAST (2021QNRC001), the Shanghai Science and Technology Commission (Grant No. 22JC1404100 and No. 21JC1405600), and the Fundamental Research Funds for the Central Universities. ",
year = "2024",
month = jan,
doi = "10.1016/j.compgeo.2023.105854",
language = "English",
volume = "165",
journal = "Computers and geotechnics",
issn = "0266-352X",
publisher = "Elsevier BV",
}