Analytical solutions for elastic SH-waves propagating through an isotropic inhomogeneous layer

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F19%3A00331615" target="_blank" >RIV/68407700:21230/19:00331615 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.compstruct.2019.04.053" target="_blank" >https://doi.org/10.1016/j.compstruct.2019.04.053</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.compstruct.2019.04.053" target="_blank" >10.1016/j.compstruct.2019.04.053</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Analytical solutions for elastic SH-waves propagating through an isotropic inhomogeneous layer

Popis výsledku v původním jazyce

Plane time-harmonic elastic SH-wave propagation through an isotropic inhomogeneous layer surrounded by two homogeneous half-spaces is studied in this article. The material properties of the inhomogeneous layer are assumed to be non-uniform along the thickness direction according to a distribution law described by the triconfluent Heun functions or their polynomial forms that contain a number of optional parameters. The general analytical solution of the governing equation for elastic SH-waves in the layer is presented. Employing optional parameters, the material-property profiles can be varied to a relatively large extent without the need to seek new solutions of the governing equation for a chosen material-property profile. If the wave speed is constant in the inhomogeneous layer, the derived analytical solution is exact; otherwise the analytical solution is approximate. As a part of this article, the method enabling to find an approximate analytical solution of the governing equation for predetermined material functions is also presented. The applicability of the analytical solutions are tested and discussed based on the representative examples, and at the same time, the analytical results are compared with numerical ones to demonstrate their validity.

Název v anglickém jazyce

Analytical solutions for elastic SH-waves propagating through an isotropic inhomogeneous layer

Popis výsledku anglicky

Plane time-harmonic elastic SH-wave propagation through an isotropic inhomogeneous layer surrounded by two homogeneous half-spaces is studied in this article. The material properties of the inhomogeneous layer are assumed to be non-uniform along the thickness direction according to a distribution law described by the triconfluent Heun functions or their polynomial forms that contain a number of optional parameters. The general analytical solution of the governing equation for elastic SH-waves in the layer is presented. Employing optional parameters, the material-property profiles can be varied to a relatively large extent without the need to seek new solutions of the governing equation for a chosen material-property profile. If the wave speed is constant in the inhomogeneous layer, the derived analytical solution is exact; otherwise the analytical solution is approximate. As a part of this article, the method enabling to find an approximate analytical solution of the governing equation for predetermined material functions is also presented. The applicability of the analytical solutions are tested and discussed based on the representative examples, and at the same time, the analytical results are compared with numerical ones to demonstrate their validity.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10307 - Acoustics

Projekt

<a href="/cs/project/GA18-24954S" target="_blank" >GA18-24954S: Šíření akustických vln fononickými materiály a strukturami</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Composite Structures

ISSN

0263-8223

e-ISSN

1879-1085

Svazek periodika

220

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

13

Strana od-do

875-887

Kód UT WoS článku

000465495700076

EID výsledku v databázi Scopus

2-s2.0-85064628374