Application of the Ritz-Rayleigh method for Lamb waves in extremely anisotropic media
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F20%3A00603877" target="_blank" >RIV/61388998:_____/20:00603877 - isvavai.cz</a>
Alternative codes found
RIV/61389005:_____/20:00525033 RIV/68407700:21340/20:00344889
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0165212519304081?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165212519304081?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.wavemoti.2020.102567" target="_blank" >10.1016/j.wavemoti.2020.102567</a>
Alternative languages
Result language
angličtina
Original language name
Application of the Ritz-Rayleigh method for Lamb waves in extremely anisotropic media
Original language description
We propose a numerical approach for the calculation of frequency-dispersion curves in a flat anisotropic waveguide based on the Ritz-Rayleigh method, offering several significant benefits over commonly used analytical and numerical models. The problem is linearized using a tailored functional basis based on Legendre polynomials, utilizing all symmetries provided by the problem to reduce the computational demands, which brings significant benefits for an inverse procedure, and thus for material characterization. The approach is completely general in terms of elastic properties and direction of propagation. As an exemplary calculation, frequency-dispersion curves of phase and group velocity are calculated for a (001)-oriented free-standing film of the Ni-Mn-Ga alloy exhibiting a strong cubic anisotropy. In the case of propagation along the [100] direction, the dispersion curves oscillate strongly, creating pairs of symmetric and antisymmetric modes. Taking advantage of the generality of the approach, the curves are also presented for the case of extreme anisotropy. Sets of curves for directions [110] and [1 0.9 0] (i.e., 3 degrees off [110]), where the pseudo-surface wave exists, are also calculated. High-frequency asymptotes are shown to correspond with surface and bulk modes propagating along the plate.
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
—
OECD FORD branch
20501 - Materials engineering
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Wave Motion
ISSN
0165-2125
e-ISSN
1878-433X
Volume of the periodical
96
Issue of the periodical within the volume
July
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
10
Pages from-to
102567
UT code for WoS article
000536745800009
EID of the result in the Scopus database
2-s2.0-85083161198