Dispersion analysis of wave propagation in cubic-tetrahedral assembly by doublet mechanics

Yan Fang Jin, Jue Zhang, Jing Fang, Mauro Ferrari

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

Based on elongation and shear microstrains between the doublet particles, we present the dynamic scaling equations of plane wave propagation in a cubic-tetrahedral assembly (lattice type H 4) in accordance with the formalism of doublet mechanics (DM). The relations between the micro-moduli of DM constitutions and the macroparameters of the Cosserat continuum model are obtained by a mapping process and a non-scale approximation of the DM model. With multi-scale characteristics, the frequency dispersion curves from DM reflect the effect of granule inhomogeneity and the anisotropic nature of the micro-structure on the wave propagation in the H 4 medium.

Original languageEnglish (US)
Pages (from-to)1562-1565
Number of pages4
JournalChinese Physics Letters
Volume21
Issue number8
DOIs
StatePublished - Aug 1 2004

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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