Structural Analysis of Phononic Crystals and Propagation of Elastic Waves in Cubic Solids in Fractal Dimensions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12310%2F25%3A43910085" target="_blank" >RIV/60076658:12310/25:43910085 - isvavai.cz</a>

Výsledek na webu

<a href="http://chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/https://link.springer.com/content/pdf/10.1007/s10659-025-10117-9.pdf?utm_source=clarivate&getft_integrator=clarivate" target="_blank" >http://chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/https://link.springer.com/content/pdf/10.1007/s10659-025-10117-9.pdf?utm_source=clarivate&getft_integrator=clarivate</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10659-025-10117-9" target="_blank" >10.1007/s10659-025-10117-9</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Structural Analysis of Phononic Crystals and Propagation of Elastic Waves in Cubic Solids in Fractal Dimensions

Popis výsledku v původním jazyce

We generalize the classical lattice dynamics model to a fractal setting by writing the basic equations of crystal dynamics according to a so-called LOSA model based on the &quot;product-like fractal measure&quot; concept. The fractal model is used to investigate the solutions to the dynamics of a Bravais lattice. The key role is played by so-called fractal elastic waves, where the mathematical solutions to wave equations have been obtained and analyzed, accounting for the underlying fractal geometry. By comparing the theoretical results with available experimental data graphically, we obtain a good match, say, for a diamond. Our numerical analysis estimates the fractal dimension of the order of D approximate to 2.52documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$D approx 2.52$end{document} which is in agreement with research studies on fractal phononic crystals. Attenuation of waves in cubic solids for small fractal dimensions has been observed. Such results justify the naming of this study as an estimation of the fractal dimension of phononic crystals.

Název v anglickém jazyce

Structural Analysis of Phononic Crystals and Propagation of Elastic Waves in Cubic Solids in Fractal Dimensions

Popis výsledku anglicky

We generalize the classical lattice dynamics model to a fractal setting by writing the basic equations of crystal dynamics according to a so-called LOSA model based on the &quot;product-like fractal measure&quot; concept. The fractal model is used to investigate the solutions to the dynamics of a Bravais lattice. The key role is played by so-called fractal elastic waves, where the mathematical solutions to wave equations have been obtained and analyzed, accounting for the underlying fractal geometry. By comparing the theoretical results with available experimental data graphically, we obtain a good match, say, for a diamond. Our numerical analysis estimates the fractal dimension of the order of D approximate to 2.52documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$D approx 2.52$end{document} which is in agreement with research studies on fractal phononic crystals. Attenuation of waves in cubic solids for small fractal dimensions has been observed. Such results justify the naming of this study as an estimation of the fractal dimension of phononic crystals.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

JOURNAL OF ELASTICITY

ISSN

0374-3535

e-ISSN

1573-2681

Svazek periodika

157

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

24

Strana od-do

nestránkováno

Kód UT WoS článku

001418229300001

EID výsledku v databázi Scopus

2-s2.0-85218347048