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Multi-Scale Modelling for Structures and Composites by G. Panasenko (2010, Trade Paperback)

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Author G. Panasenko. In this connection the asymptotic analysis of equations of mathematical physics, the equations of elasticity in rod structures (without these hypotheses and simplifying assumptions being imposed) is undertaken in the present book.

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Product Information

Rod structures are widely used in modern engineering. These are bars, beams, frames and trusses of structures, gridwork, network, framework and other constructions. Numerous applications of rod structures in civil engineering, aircraft and spacecraft confirm the importance of the topic. On the other hand the majority of books on structural mechanics use some simplifying hypotheses; these hypotheses do not allow to consider some important effects, for instance the boundary layer effects near the points of junction of rods. So the question concerning the limits of applicability of structural mechanics hypotheses and the possibilities of their refinement arise. In this connection the asymptotic analysis of equations of mathematical physics, the equations of elasticity in rod structures (without these hypotheses and simplifying assumptions being imposed) is undertaken in the present book. Moreover, a lot of modern structures are made of composite materials and therefore the material of the rods is not homogeneous. This inhomogeneity of the material can generate some unexpected effects. These effects are analysed in the present book. The methods of multi-scale modelling are presented in the book by the homogenization, multi-level asymptotic analysis and the domain decomposition. These methods give an access to a new class of hybrid models combining macroscopic description with "microscopic zooms". Major features are: Rigorous mathematical analysis of structures without hypotheses of the Kirchhoff-Love, Kirchhoff-Clebsch type Taking into consideration the inhomogeneity of the rods and plates New numerical algorithms decomposing a structure in 3D and 1D parts with some interface conditions between them.

Product Identifiers

Publisher
Springer Netherlands
ISBN-10
9048167582
ISBN-13
9789048167586
eBay Product ID (ePID)
109125824

Product Key Features

Author
G. Panasenko
Publication Name
Multi-Scale Modelling for Structures and Composites
Format
Trade Paperback
Language
English
Publication Year
2010
Type
Textbook
Number of Pages
Xiv, 398 Pages

Dimensions

Item Length
9.4in
Item Width
6.3in
Item Weight
23.4 Oz

Additional Product Features

Number of Volumes
1 Vol.
Lc Classification Number
Qa1-939
Reviews
From the reviews of the first edition:"This book describes the mathematical aspects of the deformation and homogenization of rods. â€¦ The large variety of problems covered makes the book a useful tool for graduate students studying the mathematics and homogenization theory of rods and rod structures." (Sergey K. Serkov, Mathematical Reviews, Issue 2006 g)"This is a high-quality research monograph on homogenisation theory and applications to modelling of composites and periodic framework structures. The book is based on the results of the recent research, and the author is a well-recognized expert in homogenisation models in mathematical physics and continuum mechanics. â€¦ The book is well-written and includes many good examples." (Alexander Movchan, Zentralblatt MATH, Vol. 1078, 2006), From the reviews of the first edition: "This book describes the mathematical aspects of the deformation and homogenization of rods. ... The large variety of problems covered makes the book a useful tool for graduate students studying the mathematics and homogenization theory of rods and rod structures." (Sergey K. Serkov, Mathematical Reviews, Issue 2006 g) "This is a high-quality research monograph on homogenisation theory and applications to modelling of composites and periodic framework structures. The book is based on the results of the recent research, and the author is a well-recognized expert in homogenisation models in mathematical physics and continuum mechanics. ... The book is well-written and includes many good examples." (Alexander Movchan, Zentralblatt MATH, Vol. 1078, 2006)
Table of Content
Introduction: Basic Notions and Methods.- Heterogeneous Rod.- Heterogeneous Plate.- Finite Rod Structures.- Lattice Structures.- The Multi-Scale Domain Decomposition.
Copyright Date
2005
Topic
Construction / General, Differential Equations / General, Mechanical, General, Mechanics / Solids, Differential Equations / Partial
Intended Audience
Scholarly & Professional
Illustrated
Yes
Genre
Technology & Engineering, Science, Mathematics

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Multi-Scale Modelling for Structures and Composites by G. Panasenko (2010, Trade Paperback)

About this product

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Product Key Features

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Additional Product Features

All listings for this product

item 1 Multi-scale Modelling for Structures and Composites by G. Panasenko (English) Pa

item 2 Multi-scale Modelling for Structures and Composites

Best Selling in Textbooks

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