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^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

38 Citations (Scopus)

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.

Original language	English
Pages (from-to)	569-588
Number of pages	20
Journal	Continuum Mechanics and Thermodynamics
Volume	32
Issue number	3
DOIs	https://doi.org/10.1007/s00161-018-0683-1
Publication status	Published - 1 May 2020
Externally published	Yes

Bibliographical note

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

Keywords

Internal variables
Micromorphic media
Wave propagation

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10.1007/s00161-018-0683-1

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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

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EP - 588

JO - Continuum Mechanics and Thermodynamics

JF - Continuum Mechanics and Thermodynamics

IS - 3

ER -

On the wave dispersion in microstructured solids

Abstract

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Keywords

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