Characterization of Wave Dispersion in Viscoelastic Cellular Assemblies by Doublet Mechanics
JIN Yan-Fang1, XIONG Chun-Yang1, FANG Jing1, FERRARI Mauro2
1Department of Biomedical Engineering, Peking University, Beijing 1008712Department of Biomedical Engineering, University of Texas Health Center, Houston, USA
Characterization of Wave Dispersion in Viscoelastic Cellular Assemblies by Doublet Mechanics
JIN Yan-Fang1, XIONG Chun-Yang1, FANG Jing1, FERRARI Mauro2
1Department of Biomedical Engineering, Peking University, Beijing 1008712Department of Biomedical Engineering, University of Texas Health Center, Houston, USA
摘要Using the Voigt model, we analyze wave propagation in viscoelastic granular media with a monatomic lattice, planar simple cubic package and cubical-tetrahedral assembly within the context of doublet mechanics. Microstrains of elongation between the doublet particles are considered in the models. Wave dispersive relations are derived from dynamic equations of the particles involved in the media, and phase velocities and attenuations of the dispersive waves are obtained for the different assemblies. Variations in these dispersion characteristics are analyzed with the changes of cell interval, modulus, and wave frequency. The relations between micro-constants and macro-parameters are presented under the condition of non-scale continuity of the media.
Abstract：Using the Voigt model, we analyze wave propagation in viscoelastic granular media with a monatomic lattice, planar simple cubic package and cubical-tetrahedral assembly within the context of doublet mechanics. Microstrains of elongation between the doublet particles are considered in the models. Wave dispersive relations are derived from dynamic equations of the particles involved in the media, and phase velocities and attenuations of the dispersive waves are obtained for the different assemblies. Variations in these dispersion characteristics are analyzed with the changes of cell interval, modulus, and wave frequency. The relations between micro-constants and macro-parameters are presented under the condition of non-scale continuity of the media.
JIN Yan-Fang;XIONG Chun-Yang;FANG Jing;FERRARI Mauro. Characterization of Wave Dispersion in Viscoelastic Cellular Assemblies by Doublet Mechanics[J]. 中国物理快报, 2009, 26(8): 84601-084601.
JIN Yan-Fang, XIONG Chun-Yang, FANG Jing, FERRARI Mauro. Characterization of Wave Dispersion in Viscoelastic Cellular Assemblies by Doublet Mechanics. Chin. Phys. Lett., 2009, 26(8): 84601-084601.
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2009, Vol. 26 
