Mechanics of Periodically Heterogeneous Structures

Leonid I. Manevitch, Igor V. Andrianov, Victor G. Oshmyan

264 pages, parution le 21/04/2002

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Résumé

Rigorous presentation of Mathematical Homogenization Theory is the subject of numerous publications. This book, however, is intended to fill the gap in the analytical and numerical performance of the corresponding asymptotic analysis of the static and dynamic behaviors of heterogenous systems. Numerous concrete applications to composite media, heterogeneous plates and shells are considered. A lot of details, numerical results for cell problem solutions, calculations of high-order terms of asymptotic expansions, boundary layer analysis etc., are included.

Contents

Introduction
Definitions, assumptions and theorems in homogenization problems
Application of cell functions for the calculation of binary composite elastic moduli
Asymptotic study of linear vibrations of a stretched beam with concentrated masses and discrete elastic supports
Reinforced plates
Problems of elasticity plane theory for reinforced orthotropic plates
Reinforced shells
Corrugated plates
Other periodic structures
Perforated plates and shells
Concluding remarks: Perspectives and open problems
References

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Leonid I. Manevitch, Igor V. Andrianov, Victor G. Oshmyan
Parution	21/04/2002
Nb. de pages	264
Format	16 x 24
Couverture	Relié
Poids	550g
Intérieur	Noir et Blanc
EAN13	9783540416302