Explicit analytical representation for a transmission coefficient in the normal wave propagation through a multi-layered solid-fluid structure

IF 1.9 4区工程技术 Q3 MECHANICS

Continuum Mechanics and Thermodynamics Pub Date : 2025-05-26 DOI:10.1007/s00161-025-01391-y

Mezhlum Sumbatyan, Mariya Chernikova

引用次数: 0

Abstract

The paper studies the problem of wave propagation through a multi-layered structure, which consists of a finite number of solid / fluid parallel layers of finite thickness. By considering the structure as a protective multi-layered barrier placed in a (scalar) fluid space to reduce the amplitude of the plane incident wave, we give an exact explicit analytical representation for the transmission coefficient, in the case of arbitrary finite number of layers and arbitrary values of their thicknesses. We demonstrate wave properties of the barrier for various types of the geometry, including the case of ultra-low frequencies.

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正波通过多层固流结构时透射系数的显式解析表示

本文研究了由有限数量的有限厚度的固体/流体平行层组成的多层结构中的波传播问题。将结构视为放置在（标量）流体空间中的多层保护屏障，以减小平面入射波的振幅，我们给出了在任意有限层数和任意厚度值的情况下透射系数的精确显式解析表达式。我们展示了各种几何类型的势垒的波动特性，包括超低频率的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Continuum Mechanics and Thermodynamics 物理-力学

CiteScore

5.30

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena. Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.