TY - JOUR

T1 - Attenuation of Rayleigh and pseudo surface waves in saturated soil by seismic metamaterials

AU - Cai, Runcheng

AU - Jin, Yabin

AU - Djafari-Rouhani, Bahram

AU - Zhou, Shuwei

AU - Chen, Peixin

AU - Rabczuk, Timon

AU - Zhu, Hehua

AU - Zhuang, Xiaoying

N1 - 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.

PY - 2024/1

Y1 - 2024/1

N2 - 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.

AB - 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.

KW - Complex band structures

KW - Pseudo surface waves

KW - Rayleigh surface waves

KW - Saturated soil

KW - Seismic metamaterials

UR - http://www.scopus.com/inward/record.url?scp=85174332616&partnerID=8YFLogxK

U2 - 10.1016/j.compgeo.2023.105854

DO - 10.1016/j.compgeo.2023.105854

M3 - Article

AN - SCOPUS:85174332616

VL - 165

JO - Computers and geotechnics

JF - Computers and geotechnics

SN - 0266-352X

M1 - 105854

ER -