One-dimensional propagation of longitudinal elastic waves through functionally graded materials
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F18%3A00322476" target="_blank" >RIV/68407700:21230/18:00322476 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0020768318301252" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0020768318301252</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijsolstr.2018.03.017" target="_blank" >10.1016/j.ijsolstr.2018.03.017</a>
Alternative languages
Result language
angličtina
Original language name
One-dimensional propagation of longitudinal elastic waves through functionally graded materials
Original language description
The one-dimensional propagation of longitudinal elastic waves along the thickness of a plate made of functionally graded materials excited by a harmonic force is reported in this article. The material properties of the plate are assumed to be graded along the thickness direction according to a trigonometric law distribution. This distribution smoothly connects the material properties of the upper and lower homogeneous materials that bounds the plate. The corresponding propagation equation is Ince-type equation that can be transformed to Heun's equation a local exact solution of which is expressed in terms of local Heun functions. The general nature of these functions is demonstrated based on four degenerate cases of Heun's equation. The transfer matrix method is used to study the elastic waves propagating in the inhomogeneous domain. The calculation of the transfer matrices requires the evaluation of the general solution in the interval containing two regular singular points. For this purpose, the modified Heun function is introduced. Based on the transfer matrices, the influence of both the asymmetry of the unit cell and various constituent materials on the transmission coefficient spectrum is studied. The transmission coefficient is also calculated for the locally periodic structures with the help of the Chebyshev polynomials. (C) 2018 Elsevier Ltd. All rights reserved.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10307 - Acoustics
Result continuities
Project
<a href="/en/project/GA15-23079S" target="_blank" >GA15-23079S: Acoustic wave propagation through nonlocal dispersion zones</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Solids and Structures
ISSN
0020-7683
e-ISSN
1879-2146
Volume of the periodical
146
Issue of the periodical within the volume
August
Country of publishing house
GB - UNITED KINGDOM
Number of pages
12
Pages from-to
43-54
UT code for WoS article
000438004200003
EID of the result in the Scopus database
2-s2.0-85044527506