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2018 | OriginalPaper | Buchkapitel

5. Dispersion Properties of a Closed-Packed Lattice Consisting of Round Particles

verfasst von : Vladimir I. Erofeev, Igor S. Pavlov, Alexey V. Porubov, Alexey A. Vasiliev

Erschienen in: Generalized Models and Non-classical Approaches in Complex Materials 2

Verlag: Springer International Publishing

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Abstract

A two-dimensional discrete model for a hexagonal (closed-packed) lattice with elastically interacting round particles possessing two translational and one rotational degrees of freedom is considered. The linear differential-difference equations are obtained by the method of structural modeling to describe propagation of longitudinal, transverse and rotational waves in the medium. The dispersion properties of the model are analyzed. Existence of a backward wave is revealed. The numerical estimations of threshold frequencies of acoustic and rotational waves are given for some values of microstructure parameters.

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Titel: Dispersion Properties of a Closed-Packed Lattice Consisting of Round Particles
verfasst von: Vladimir I. Erofeev
Igor S. Pavlov
Alexey V. Porubov
Alexey A. Vasiliev
Verlag: Springer International Publishing
Buch: Generalized Models and Non-classical Approaches in Complex Materials 2
Print ISBN: 978-3-319-77503-6

Electronic ISBN: 978-3-319-77504-3

Copyright-Jahr: 2018
DOI: https://doi.org/10.1007/978-3-319-77504-3_5

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