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 language | English (US) |
|---|---|
| Pages (from-to) | 1562-1565 |
| Number of pages | 4 |
| Journal | Chinese Physics Letters |
| Volume | 21 |
| Issue number | 8 |
| DOIs | |
| State | Published - Aug 2004 |
ASJC Scopus subject areas
- Physics and Astronomy(all)