TY - JOUR

T1 - Propagation and attenuation of Rayleigh and pseudo surface waves in viscoelastic metamaterials

AU - Cai, Runcheng

AU - Jin, Yabin

AU - Rabczuk, Timon

AU - Zhuang, Xiaoying

AU - Djafari-Rouhani, Bahram

N1 - Funding Information: This work was supported by the National Natural Science Foundation of China (No. 11902223), the National Ten-Thousand Young Talent Programme, the Shanghai Pujiang Program (No. 19PJ1410100), the program for professor of special appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning, the Fundamental Research Funds for the Central Universities, the High-Level Foreign Expert Program of Tongji University, and the Shanghai municipal peak discipline program (No. 2019010106).

PY - 2021/3/28

Y1 - 2021/3/28

N2 - The development of seismic metamaterials has attracted much research interest in the past decade. Efforts have been made by using experimental and theoretical approaches to isolate buildings and structures susceptible to elastic surface wave damage. However, most seismic metamaterials were designed without considering the viscoelastic effect that widely exists in nature. In this work, we investigate the propagation and attenuation of the Rayleigh and pseudo surface waves (PSWs) in two types of viscoelastic seismic metamaterials, namely, pillared and inclusion-embedded metamaterials, by analyzing the complex band structures and transmission spectra. The complex band structure developed in this work reveals for the first time the existence of PSWs and their propagation properties in inclusion-embedded metamaterials at the surface. These PSW modes are hidden in the traditional ω(k) technique, therefore showing the usefulness of the complex band structure approach. Introducing viscosity to the substrate of both types of seismic metamaterials will enhance the attenuation of both the Rayleigh wave and PSW. For inclusion-embedded metamaterials, the viscoelastic effect in the soft coating layer can have a specific influence only on the PSW. PSWs show advantages to minimize the relative attenuating effect in general. The results in this work will open up great possibilities for designing and optimizing seismic metamaterials in practice.

AB - The development of seismic metamaterials has attracted much research interest in the past decade. Efforts have been made by using experimental and theoretical approaches to isolate buildings and structures susceptible to elastic surface wave damage. However, most seismic metamaterials were designed without considering the viscoelastic effect that widely exists in nature. In this work, we investigate the propagation and attenuation of the Rayleigh and pseudo surface waves (PSWs) in two types of viscoelastic seismic metamaterials, namely, pillared and inclusion-embedded metamaterials, by analyzing the complex band structures and transmission spectra. The complex band structure developed in this work reveals for the first time the existence of PSWs and their propagation properties in inclusion-embedded metamaterials at the surface. These PSW modes are hidden in the traditional ω(k) technique, therefore showing the usefulness of the complex band structure approach. Introducing viscosity to the substrate of both types of seismic metamaterials will enhance the attenuation of both the Rayleigh wave and PSW. For inclusion-embedded metamaterials, the viscoelastic effect in the soft coating layer can have a specific influence only on the PSW. PSWs show advantages to minimize the relative attenuating effect in general. The results in this work will open up great possibilities for designing and optimizing seismic metamaterials in practice.

UR - http://www.scopus.com/inward/record.url?scp=85103561945&partnerID=8YFLogxK

U2 - 10.1063/5.0042577

DO - 10.1063/5.0042577

M3 - Article

AN - SCOPUS:85103561945

VL - 129

JO - Journal of applied physics

JF - Journal of applied physics

SN - 0021-8979

IS - 12

M1 - 0003923

ER -