bibtype J - Journal Article
ARLID 0647375
utime 20260316090856.7
mtime 20260314235959.9
SCOPUS 85171861365
WOS 001093112000001
DOI 10.1007/s00161-023-01256-2
title (primary) (eng) Integral micromorphic model for band gap in 1D continuum
specification
page_count 20 s.
media_type P
serial
ARLID cav_un_epca*0252589
ISSN 0935-1175
title Continuum Mechanics and Thermodynamics
volume_id 36
volume 5 (2024)
page_num 1247-1266
publisher
name Springer
keyword Band gap
keyword Integral micromorphic model
keyword Dispersion
author (primary)
ARLID cav_un_auth*0383509
name1 Jirásek
name2 M.
country CZ
author
ARLID cav_un_auth*0439612
name1 Horák
name2 Martin
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept Department of Decision Making Theory
department (cz) MTR
department MTR
country CZ
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0284427
name1 Šmejkal
name2 M.
country CZ
garant K
source
url https://library.utia.cas.cz/separaty/2026/MTR/horak-0647375.pdf
source
url https://link.springer.com/article/10.1007/s00161-023-01256-2
cas_special
abstract (eng) The design of band gap metamaterials, i.e., metamaterials with the capability to inhibit wave propagation of a specific frequency range, has numerous potential engineering applications, such as acoustic filters and vibration isolation control. In order to describe the behavior of such materials, a novel integral micromorphic elastic continuum is introduced, and its ability to describe band gaps is studied in the one-dimensional setting. The nonlocal formulation is based on a modification of two terms in the expression for potential energy density. The corresponding dispersion equation is derived and converted to a dimensionless format, so that the effect of individual parameters can be described in the most efficient way. The results indicate that both suggested nonlocal modifications play an important role. The original local micromorphic model reproduces a band gap only in the special, somewhat artificial case, when the stiffness coefficient associated with the gradient of the micromorphic variable vanishes. On the other hand, the nonlocal formulation can provide band gaps even for nonzero values of this coefficient, provided that the penalty coefficient that enforces coupling between the micromorphic variable and nonlocal strain is sufficiently high and the micromorphic stiffness is sufficiently low.
result_subspec WOS
RIV BM
FORD0 10000
FORD1 10300
FORD2 10302
reportyear 2026
num_of_auth 3
inst_support RVO:67985556
permalink https://hdl.handle.net/11104/0376951
cooperation
ARLID cav_un_auth*0505484
name Czech Technical University in Prague, Faculty of Civil Engineering, Department of Mechanics
institution CVUT-FSV-MECH
country CZ
confidential S
mrcbC91 C
mrcbT16-e THERMODYNAMICS|MECHANICS
mrcbT16-f 2.1
mrcbT16-g 0.6
mrcbT16-h 5.5
mrcbT16-i 0.00205
mrcbT16-j 0.443
mrcbT16-k 2292
mrcbT16-q 63
mrcbT16-s 0.575
mrcbT16-y 50.52
mrcbT16-x 2.55
mrcbT16-3 833
mrcbT16-4 Q2
mrcbT16-5 2.000
mrcbT16-6 56
mrcbT16-7 Q2
mrcbT16-C 50.5
mrcbT16-M 0.47
mrcbT16-N Q2
mrcbT16-P 53.8
arlyear 2024
mrcbU14 85171861365 SCOPUS
mrcbU24 PUBMED
mrcbU34 001093112000001 WOS
mrcbU63 cav_un_epca*0252589 Continuum Mechanics and Thermodynamics 36 5 2024 1247 1266 0935-1175 1432-0959 Springer