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Applied Mathematical Sciences

Homogenization of Reticulated Structures

Authors: Cioranescu, Doina, Saint Jean Paulin, Jeannine

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  • Presents recent developments in reticulated/lattice-type structures Analyzing reticulated structures, which are easily visualized, makes it easy to learn about homogenization techniques The topic is timely - there is a great deal of need for mathematical tools and methods for structural modeling from the engineering community Includes many interesting applications Well written and provides a nice background for both non-specialists and mathematicians

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  • ISBN 978-1-4612-2158-6
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Softcover $139.99
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About this book

This book presents recent works on lattice type structure. Some of the results discussed here have already been published in mathematical journals, but we give here a comprehensive and unified presentation. We have also added some new topics such as those contained in Chapter 4 treating elastic problems for gridworks. The aim of this book is to give continuous simple models for thin reticulated structures (which may have a very complex pattern). This means that we have to treat partial differential equations depending on several small parameters and give the asymptotic behavior with respect to these parameters (which can be the period, the thickness of the material, or the thickness of a plate or of a beam). This book is written from the point of view of the applied mathematician, attenĀ­ tion being paid to the mathematical rigor, convergence results, and error estimates. It consists of six chapters and more than a hundred figures. The basic ideas are presented in the first two chapters, while the four last ones study some particular models, using the ideas of Chapters 1 and 2. Chapter 1 is an introduction to homogenization methods in perforated domains. Here the parameter to be taken into consideration is the period. After describing the multiple-scale method (which consists in asymptotic expansions), we focus our attention on the variational method introduced by Tartar, whose main idea is the construction of rapidly oscillating test functions.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-1-4612-2158-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $139.99
price for USA in USD
  • ISBN 978-1-4612-7437-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Homogenization of Reticulated Structures
Authors
Series Title
Applied Mathematical Sciences
Series Volume
136
Copyright
1999
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4612-2158-6
DOI
10.1007/978-1-4612-2158-6
Softcover ISBN
978-1-4612-7437-7
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XX, 346
Topics