Macroscopic modelling of prestressed microperiodic elastic media

被引:0
|
作者
M. Woźniak
E. Wierzbicki
Cz. Woźniak
机构
[1] Kielce Technological University,Department of Road and Traffic Engineering
[2] Czestochowa University of Technology,Institute of Mathematics and Informatics
来源
Acta Mechanica | 2004年 / 173卷
关键词
Dynamical System; Fluid Dynamics; General Result; Special Problem; Average Method;
D O I
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学科分类号
摘要
The aim of this contribution is to formulate and apply a macroscopic model for the analysis of the dynamics and stability of prestressed microperiodic elastic media. This modelling problem has been solved by Kolpakov [1] using the asymptotic homogenization method. However, the method used in [1] neglects the effect of the period length on the macroscopic (overall) solid behavior. To eliminate this drawback we propose a nonasymptotic modelling approach which is a certain generalization of the tolerance averaging method recently presented in [2] and a series of papers. The presented general results are illustrated by the analysis of a certain special problem.
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页码:107 / 117
页数:10
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