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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.
By: I. V. Andrianov, L. I. Manevitch, Victor G. Oshmyan
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication: Germany
Edition: Softcover reprint of hardcover 1st ed. 2002
Dimensions: Height: 14mm, Width: 234mm, Spine: 156mm
Weight: 427g
ISBN:
9783642074899
ISBN 10: 3642074898
Series: Foundations of Engineering Mechanics
Pages: 278
Publication Date: December 2010
Audience: Professional and scholarly , Professional and scholarly , Undergraduate , Undergraduate
Format: Paperback
Publisher's Status: Active
Availability: Available
This item is available from one of our suppliers. We will order it and ship it to you upon arrival.
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.
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