On the wave dispersion in microstructured solids

Berezovski A., Yıldızdağ M. E., Scerrato D.

Continuum Mechanics and Thermodynamics, vol.32, no.3, pp.569-588, 2020 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 3
  • Publication Date: 2020
  • Doi Number: 10.1007/s00161-018-0683-1
  • Journal Name: Continuum Mechanics and Thermodynamics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Compendex, INSPEC, Metadex, zbMATH
  • Page Numbers: pp.569-588
  • Keywords: Internal variables, Micromorphic media, Wave propagation
  • Istanbul Technical University Affiliated: Yes

Abstract

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