Guided Wave Propagation in Multilayered Two-dimensional Quasicrystal Plates with Imperfect Interfaces  

作　　者：Xin Feng Liangliang Zhang Zhiming Hu Han Zhang Yang Gao 

机构地区：[1]College of Science,China Agricultural University,Beijing 100083,China [2]College of Engineering,China Agricultural University,Beijing 100083,China [3]China State Key Laboratory of Acoustics,Institute of Acoustics,Chinese Academy of Sciences,Beijing 100190,China

出　　处：《Acta Mechanica Solida Sinica》2022年第4期694-704,共11页固体力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11972365,12102458,and 11972354);China Agricultural University Education Foundation(No.1101-2412001).

摘　　要：An analytical solution of the guided wave propagation in a multilayered twodimensional decagonal quasicrystal plate with imperfect interfaces is derived.According to the elastodynamic equations of quasicrystals(QCs),the wave propagating problem in the plate is converted into a linear control system by employing the state-vector approach,from which the general solutions of the extended displacements and stresses can be obtained,These solutions along the thickness direction are utilized to derive the propagator matrix which connects the physical variables on the lower and upper interfaces of each layer.The special spring model,which describes the discontinuity of the physical quantities across the interface,is introduced into the propagator relationship of the multilayered structure.The total propagator matrix can be used to propagate the solutions in each interface and each layer about the multilayered plate.In addition,the traction-free boundary condition on the top and bottom surfaces of the laminate is considered to obtain the dispersion equation of wave propagation,Finally,typical numerical examples are presented to illustrate the marked influences of stacking sequence and interface coeficients on the dispersion curves and displacement mode shapes of the QC laminates.

关 键 词：Two-dimensional QC materials Wave propagation Dispersion curve State vector approach Propagator matrix Imperfect interface 

分 类 号：O343.6[理学—固体力学]