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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 |
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| Cite this article: |
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JIN Yan-Fang, ZHANG Jue, FANG Jing et al 2004 Chin. Phys. Lett. 21 1562-1565 |
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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.
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| Keywords:
46.40.Cd
91.60.Lj
81.05.Rm
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Published: 01 August 2004
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| PACS: |
46.40.Cd
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(Mechanical wave propagation (including diffraction, scattering, and dispersion))
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91.60.Lj
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(Acoustic properties)
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81.05.Rm
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(Porous materials; granular materials)
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