{"title":"Anti-plane surface waves of an elastic half-space coated with a metacomposite layer","authors":"C. Q. Ru","doi":"10.1007/s10665-023-10305-3","DOIUrl":null,"url":null,"abstract":"<p>Inspired by recent research interest in metasurfaces, an effective medium model is presented to study anti-plane (Love) surface waves of an elastic half-space coated with an elastic metasurface thin layer filled with coated or uncoated hard spheres. Explicit formulas are derived for phase velocity and attenuation coefficient, and the general implications of the derived results are discussed with specific examples without or with damping effect on local resonance of embedded hard spheres. Emphasis is placed on the effects of the metasurface and damping on the structure of bandgap for Love waves, with detailed comparison to the known results on Love waves of an elastic half-space coated with a thin elastic layer or elastic plate. The derived results and conclusions may offer new insights into the study of surface elastic waves in locally resonant metacomposites.</p>","PeriodicalId":50204,"journal":{"name":"Journal of Engineering Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4000,"publicationDate":"2023-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Engineering Mathematics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s10665-023-10305-3","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Inspired by recent research interest in metasurfaces, an effective medium model is presented to study anti-plane (Love) surface waves of an elastic half-space coated with an elastic metasurface thin layer filled with coated or uncoated hard spheres. Explicit formulas are derived for phase velocity and attenuation coefficient, and the general implications of the derived results are discussed with specific examples without or with damping effect on local resonance of embedded hard spheres. Emphasis is placed on the effects of the metasurface and damping on the structure of bandgap for Love waves, with detailed comparison to the known results on Love waves of an elastic half-space coated with a thin elastic layer or elastic plate. The derived results and conclusions may offer new insights into the study of surface elastic waves in locally resonant metacomposites.
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The aim of this journal is to promote the application of mathematics to problems from engineering and the applied sciences. It also aims to emphasize the intrinsic unity, through mathematics, of the fundamental problems of applied and engineering science. The scope of the journal includes the following:
• Mathematics: Ordinary and partial differential equations, Integral equations, Asymptotics, Variational and functional−analytic methods, Numerical analysis, Computational methods.
• Applied Fields: Continuum mechanics, Stability theory, Wave propagation, Diffusion, Heat and mass transfer, Free−boundary problems; Fluid mechanics: Aero− and hydrodynamics, Boundary layers, Shock waves, Fluid machinery, Fluid−structure interactions, Convection, Combustion, Acoustics, Multi−phase flows, Transition and turbulence, Creeping flow, Rheology, Porous−media flows, Ocean engineering, Atmospheric engineering, Non-Newtonian flows, Ship hydrodynamics; Solid mechanics: Elasticity, Classical mechanics, Nonlinear mechanics, Vibrations, Plates and shells, Fracture mechanics; Biomedical engineering, Geophysical engineering, Reaction−diffusion problems; and related areas.
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