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首页> 外文期刊>International Applied Mechanics >INFLUENCE OF PRESTRESSES ON NORMAL WAVES IN AN ELASTIC COMPRESSIBLE HALF-SPACE INTERACTING WITH A LAYER OF A COMPRESSIBLE IDEAL FLUID
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INFLUENCE OF PRESTRESSES ON NORMAL WAVES IN AN ELASTIC COMPRESSIBLE HALF-SPACE INTERACTING WITH A LAYER OF A COMPRESSIBLE IDEAL FLUID

机译：预应力对具有可压缩理想流体层的弹性可压缩半空间中正常波的影响

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摘要

The propagation of quasi-Lamb waves in a prestrained compressible elastic half-space that interacts with a layer of a compressible ideal fluid is studied using the three-dimensional linearized equations of the theory of finite deformations for the compressible elastic half-space and the three-dimensional linearized Euler equations for the compressible ideal fluid. A problem statement and an approach based on the general solutions of the linearized equations for elastic solid and fluid are used. 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 the thicknesses of the layer of compressible ideal fluid and the elastic half-space on the phase velocities of quasi-Lamb modes is analyzed. A criterion of existence of the quasi-Lamb waves in hydroelastic waveguides is proposed. The developed approach and the obtained results make it possible to establish the limits of applicability of the models of wave processes based on different versions of the theory of small initial deformations. The numerical results are presented in the form of graphs and analyzed.
机译：使用用于可压缩弹性半空间和三个的有限变形理论的三维线性化方程，研究了准羊光波在普鲁限制可压缩弹性半空间中的传播，其与可压缩的理想流体的层相互作用。 - 可压缩理想流体的二维线性化欧拉方程。使用基于弹性固体和流体的线性化方程一般解的问题陈述和一种方法。获得描述在宽频率范围内的液压弹性体系中的准羊波传播的分散方程。分析了初始应力和可压缩理想流体层的厚度的影响和对准羊肉模式的相速度上的弹性半空间。提出了液压弹性波导中的拟羊波存在的标准。所开发的方法和所获得的结果使得基于小初始变形理论的不同版本，可以建立波程模型的适用性的限制。数值结果以图形的形式呈现并分析。

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