Effect of Prestresses on Lamb Waves in a System Consisting of an Ideal Liquid Half-Space and an Elastic Layer

被引：7

作者：

Guz A.N. ^{[1
]}

Bagno A.M. ^{[1
]}

机构：

[1] S. P. Timoshenko Institute of Mechanics, Ukrainian National Academy of Sciences, 3 Nesterov St., Kyiv

来源：

International Applied Mechanics | 2018年 / 54卷 / 05期

关键词：

elastic layer; half-space of compressible ideal fluid; initial stresses; quasi-Lamb waves;

D O I：

10.1007/s10778-018-0902-2

中图分类号：

学科分类号：

摘要：

A problem is formulated for quasi-Lamb waves propagating in a prestrained elastic layer interacting with a half-space of compressible ideal fluid. The results are obtained using the three-dimensional equations of linearized theory of finite deformations for the elastic layer and the three-dimensional linearized Euler equations for the compressible ideal fluid. The problem statement and the approach are based on the general solutions of the linearized equations for elastic solid and fluid. The dispersion equations that describe the propagation of quasi-Lamb waves in hydroelastic systems over a wide frequency range are obtained. The effect of initial stresses and half-space of compressible ideal fluid and the thickness of the elastic layer on the phase velocities of quasi-Lamb modes is analyzed. The approach developed and the results obtained for wave processes allow establishing the limits of applicability of the models based on different versions of the theory of small initial deformations. The numerical results are presented in the form of graphs and are analyzed. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：495 / 505

页数：10

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