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Acta Mechanica

, Volume 220, Issue 1–4, pp 349–363 | Cite as

Waves in microstructured solids: a unified viewpoint of modeling

  • Arkadi BerezovskiEmail author
  • Jüri Engelbrecht
  • Mihhail Berezovski
Review Article

Abstract

The basic ideas for describing the dispersive wave motion in microstructured solids are discussed in the one-dimensional setting because then the differences between various microstructure models are clearly visible. An overview of models demonstrates a variety of approaches, but the consistent structure of the theory is best considered from the unified viewpoint of internal variables. It is shown that the unification of microstructure models can be achieved using the concept of dual internal variables.

Keywords

Dispersion Curve Internal Variable Linear Momentum Free Energy Function Microstructure Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • Arkadi Berezovski
    • 1
    Email author
  • Jüri Engelbrecht
    • 1
  • Mihhail Berezovski
    • 1
  1. 1.Centre for Nonlinear StudiesInstitute of Cybernetics at Tallinn University of TechnologyTallinnEstonia

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