On the wave dispersion in microstructured solids

Arkadi Berezovski; M. Erden Yildizdag; Daria Scerrato

doi:10.1007/s00161-018-0683-1

On the wave dispersion in microstructured solids

Arkadi Berezovski
, M. Erden Yildizdag
, Daria Scerrato^*

^*Bu çalışma için yazışmadan sorumlu yazar

Tallinn University of Technology
University of California at Berkeley
University of L'Aquila
Lobachevsky State University of Nizhni Novgorod

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

41 Atıf (Scopus)

Özet

In this paper, elastic wave propagation in a one-dimensional micromorphic medium characterized by two internal variables is investigated. The evolution equations are deduced following two different approaches, namely using: (i) the balance of linear momentum and the Clausius–Duhem inequality, and (ii) an assumed Lagrangian functional (including a gyroscopic coupling) together with a variational principle. The dispersion relation is obtained and the possibility of the emerging band gaps is shown in such microstructured materials. Some numerical simulations are also performed in order to highlight the dispersive nature of the material under study.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	569-588
Sayfa sayısı	20
Dergi	Continuum Mechanics and Thermodynamics
Hacim	32
Basın numarası	3
DOI'lar	https://doi.org/10.1007/s00161-018-0683-1
Yayın durumu	Yayınlandı - 1 May 2020
Harici olarak yayınlandı	Evet

Bibliyografik not

Publisher Copyright:
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature.

Finansman

Finansörler	Finansör numarası
Government Council on Grants, Russian Federation	14.Y26.31.0031

Belgeye Erişim

10.1007/s00161-018-0683-1

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On the wave dispersion in microstructured solids",

abstract = "In this paper, elastic wave propagation in a one-dimensional micromorphic medium characterized by two internal variables is investigated. The evolution equations are deduced following two different approaches, namely using: (i) the balance of linear momentum and the Clausius–Duhem inequality, and (ii) an assumed Lagrangian functional (including a gyroscopic coupling) together with a variational principle. The dispersion relation is obtained and the possibility of the emerging band gaps is shown in such microstructured materials. Some numerical simulations are also performed in order to highlight the dispersive nature of the material under study.",

keywords = "Internal variables, Micromorphic media, Wave propagation",

author = "Arkadi Berezovski and Yildizdag, \{M. Erden\} and Daria Scerrato",

note = "Publisher Copyright: {\textcopyright} 2018, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2020",

month = may,

day = "1",

doi = "10.1007/s00161-018-0683-1",

language = "English",

volume = "32",

pages = "569--588",

journal = "Continuum Mechanics and Thermodynamics",

issn = "0935-1175",

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}

TY - JOUR

T1 - On the wave dispersion in microstructured solids

AU - Berezovski, Arkadi

AU - Yildizdag, M. Erden

AU - Scerrato, Daria

PY - 2020/5/1

Y1 - 2020/5/1

N2 - In this paper, elastic wave propagation in a one-dimensional micromorphic medium characterized by two internal variables is investigated. The evolution equations are deduced following two different approaches, namely using: (i) the balance of linear momentum and the Clausius–Duhem inequality, and (ii) an assumed Lagrangian functional (including a gyroscopic coupling) together with a variational principle. The dispersion relation is obtained and the possibility of the emerging band gaps is shown in such microstructured materials. Some numerical simulations are also performed in order to highlight the dispersive nature of the material under study.

AB - In this paper, elastic wave propagation in a one-dimensional micromorphic medium characterized by two internal variables is investigated. The evolution equations are deduced following two different approaches, namely using: (i) the balance of linear momentum and the Clausius–Duhem inequality, and (ii) an assumed Lagrangian functional (including a gyroscopic coupling) together with a variational principle. The dispersion relation is obtained and the possibility of the emerging band gaps is shown in such microstructured materials. Some numerical simulations are also performed in order to highlight the dispersive nature of the material under study.

KW - Internal variables

KW - Micromorphic media

KW - Wave propagation

UR - https://www.scopus.com/pages/publications/85047665197

U2 - 10.1007/s00161-018-0683-1

DO - 10.1007/s00161-018-0683-1

M3 - Article

AN - SCOPUS:85047665197

SN - 0935-1175

VL - 32

SP - 569

EP - 588

JO - Continuum Mechanics and Thermodynamics

JF - Continuum Mechanics and Thermodynamics

IS - 3

ER -

On the wave dispersion in microstructured solids

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap