Dispersion Analysis of Wave Propagation in Cubic--Tetrahedral Assembly by Doublet Mechanics
JIN Yan-Fang1, ZHANG Jue1, FANG Jing1, Mauro Ferrari2
1Department of Mechanics and Engineering Science, Peking University, Beijing 100871
2Department of Internal Medicine, Biomedical Engineering Centre, The Ohio State University, Columbus, OH43201, USA
Dispersion Analysis of Wave Propagation in Cubic--Tetrahedral Assembly by Doublet Mechanics
JIN Yan-Fang1;ZHANG Jue1;FANG Jing1;Mauro Ferrari2
1Department of Mechanics and Engineering Science, Peking University, Beijing 100871
2Department of Internal Medicine, Biomedical Engineering Centre, The Ohio State University, Columbus, OH43201, USA
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 H4) in accordance with the formalism of doublet mechanics (DM). The relations between the micro-moduli of DM constitutions and the macro-parameters 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 H4 medium.
2004, Vol. 21 
