A coupled Legendre-Laguerre polynomial method with analytical integration for the Rayleigh waves in a quasicrystal layered half-space with an imperfect interface  

作　　者：Bo ZHANG Honghang TU Weiqiu CHEN Jiangong YU L.ELMAIMOUNI 

机构地区：[1]School of Mechanical and Power Engineering,Henan Polytechnic University,Jiaozuo 454000,Henan Province,China [2]Henan International Joint Laboratory of Advanced Electronic Packaging Materials Precision Forming,Henan Polytechnic University,Jiaozuo 454000,Henan Province,China [3]Department of Engineering Mechanics,Zhejiang University,Hangzhou 310027,China [4]Polydisciplinary Faculty of Ouarzazate,Ibnou Zohr University,Ouarzazate 45000,Morocco

出　　处：《Applied Mathematics and Mechanics(English Edition)》2024年第9期1539-1556,共18页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.12102131);the Natural Science Foundation of Henan Province of China(No.242300420248);the International Science and Technology Cooperation Project of Henan Province of China(No.242102521010)。

摘　　要：The Laguerre polynomial method has been successfully used to investigate the dynamic responses of a half-space.However,it fails to obtain the correct stress at the interfaces in a layered half-space,especially when there are significant differences in material properties.Therefore,a coupled Legendre-Laguerre polynomial method with analytical integration is proposed.The Rayleigh waves in a one-dimensional(1D)hexagonal quasicrystal(QC)layered half-space with an imperfect interface are investigated.The correctness is validated by comparison with available results.Its computation efficiency is analyzed.The dispersion curves of the phase velocity,displacement distributions,and stress distributions are illustrated.The effects of the phonon-phason coupling and imperfect interface coefficients on the wave characteristics are investigated.Some novel findings reveal that the proposed method is highly efficient for addressing the Rayleigh waves in a QC layered half-space.It can save over 99%of the computation time.This method can be expanded to investigate waves in various layered half-spaces,including earth-layered media and surface acoustic wave(SAW)devices.

关 键 词：coupled Legendre-Laguerre polynomial method analytical integration Rayleigh wave quasicrystal(QC)layered half-space imperfect interface 

分 类 号：O343.8[理学—固体力学]