Application of the Ritz-Rayleigh method for Lamb waves in extremely anisotropic media

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/61389005:_____/20:00525033 RIV/68407700:21340/20:00344889

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Application of the Ritz-Rayleigh method for Lamb waves in extremely anisotropic media

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Application of the Ritz-Rayleigh method for Lamb waves in extremely anisotropic media

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20501 - Materials engineering

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Wave Motion

ISSN

0165-2125

e-ISSN

1878-433X

Svazek periodika

96

Číslo periodika v rámci svazku

July

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

10

Strana od-do

102567

Kód UT WoS článku

000536745800009

EID výsledku v databázi Scopus

2-s2.0-85083161198