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Internal scales and dispersive properties of microstructured materials

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  • Peets, Tanel

Abstract

The Mindlin–Engelbrecht–Pastrone model is used for describing 1D longitudinal waves in microstructured solids. The effect of the underlying microstructure is best seen in the emergence of the optical dispersion branch. Dispersive properties of the Mindlin–Engelbrecht–Pastrone model are analyzed. It is shown by making use of the solutions to the boundary value problem that the influence of the optical dispersion branch has a significant effect on wave motion as shown in numerical experiments.

Suggested Citation

  • Peets, Tanel, 2016. "Internal scales and dispersive properties of microstructured materials," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 127(C), pages 220-228.
    • Handle: RePEc:eee:matcom:v:127:y:2016:i:c:p:220-228
    DOI: 10.1016/j.matcom.2014.03.006
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    1. Tamm, Kert & Salupere, Andrus, 2012. "On the propagation of 1D solitary waves in Mindlin-type microstructured solids," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(7), pages 1308-1320.
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