On the propagation of 1D solitary waves in Mindlin-type microstructured solids

被引：6
|
作者：
Tamm, Kert [1 ,2 ]
Salupere, Andrus [1 ,2 ]
机构：
[1] Tallinn Univ Technol, Inst Cybernet, Ctr Nonlinear Studies, EE-12618 Tallinn, Estonia
[2] Tallinn Univ Technol, Dept Mech, EE-19086 Tallinn, Estonia
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2012年 / 82卷 / 07期
关键词：
Nonlinearity; Microstructured solids; Solitons; Dispersion; Granular materials; Pseudospectral methods; NUMERICAL-SIMULATION; DISPERSION; SOLITONS; EQUATION; MEDIA;
D O I：
10.1016/j.matcom.2010.06.022
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The Mindlin model and hierarchical approach by Engelbrecht and Pastrone are used for modelling 1D wave propagation in microstructured solids. After introducing the free energy function, one gets from Euler-Lagrange equations a system of equations of motion. Making use of the slaving principle, a nonlinear hierarchical wave equation can be derived. Equations are solved numerically under localized initial conditions. For numerical integration, the pseudospectral method based on the Fourier transform is used. The influence of free energy parameters on the character of dispersion and wave propagation is studied. Numerical results of hierarchical approximation and the full equation system will be compared and the quality of the approximation will be discussed. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：1308 / 1320
页数：13
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