Characterization of Wave Dispersion in Viscoelastic Cellular Assemblies by Doublet Mechanics  

作　　者：金燕芳 熊春阳 方竞 FERRARI Mauro 

机构地区：[1]Department of BiomedicaJ Engineering, Peking University, Beijing 100871 [2]Department of Biomedical Engineering, University of Texas Health Center, Houston, USA

出　　处：《Chinese Physics Letters》2009年第8期175-178,共4页中国物理快报（英文版）

基　　金：Supported by the National Basic Research Program under Grant No 2007CB935602, and the National Natural Science Foundation of China under Grant Nos 10672005 and 90607004.

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.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.

关 键 词：sea surface nonliear interaction numerical method 

分 类 号：O316[理学—一般力学与力学基础] TN252[理学—力学]