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Homogenisation: Averaging Processes in Periodic Media

Mathematical Problems in the Mechanics of Composite Materials

  • Book
  • © 1989

Overview

Authors:
  1. N. Bakhvalov

    1. Mechanics and Mathematics Faculty, Moscow University, USSR

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    You can also search for this author in PubMed   Google Scholar

  2. G. Panasenko

    1. Mechanics and Mathematics Faculty, Moscow University, USSR

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and its Applications (MASS, volume 36)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xxxv
    Download chapter PDF

  2. Formulation of Elementary Boundary Value Problems

    • N. Bakhvalov, G. Panasenko
    Pages 1-11

  3. The Concept of Asymptotic Expansion. A Model Example to Illustrate the Averaging Method

    • N. Bakhvalov, G. Panasenko
    Pages 12-31

  4. Averaging Processes in Layered Media

    • N. Bakhvalov, G. Panasenko
    Pages 32-101

  5. Averaging Basic Equations of Mathematical Physics

    • N. Bakhvalov, G. Panasenko
    Pages 102-170

  6. General Formal Averaging Procedure

    • N. Bakhvalov, G. Panasenko
    Pages 171-195

  7. Properties of Effective Coefficients. Relationship Among Local and Averaged Characteristics of a Solution

    • N. Bakhvalov, G. Panasenko
    Pages 196-223

  8. Composite Materials Containing High-Modulus Reinforcement

    • N. Bakhvalov, G. Panasenko
    Pages 224-256

  9. Averaging Processes in Skeletal Structures

    • N. Bakhvalov, G. Panasenko
    Pages 257-311

  10. Mathematics of Boundary-Layer Theory in Composite Materials

    • N. Bakhvalov, G. Panasenko
    Pages 312-345

  11. Back Matter

    Pages 346-366
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Keywords

About this book

'Et moi, .... si j'avait su comment en revenir, One service mathematics has rendered the je n'y semis point all,,: human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non­ The series is divergent: therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ !inearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Authors and Affiliations

  • Mechanics and Mathematics Faculty, Moscow University, USSR

    N. Bakhvalov, G. Panasenko

Bibliographic Information

  • Book Title: Homogenisation: Averaging Processes in Periodic Media

  • Book Subtitle: Mathematical Problems in the Mechanics of Composite Materials

  • Authors: N. Bakhvalov, G. Panasenko

  • Series Title: Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-94-009-2247-1

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 1989

  • Hardcover ISBN: 978-0-7923-0049-6Published: 31 October 1989

  • Softcover ISBN: 978-94-010-7506-0Published: 27 September 2011

  • eBook ISBN: 978-94-009-2247-1Published: 06 December 2012

  • Series ISSN: 0169-6378

  • Edition Number: 1

  • Number of Pages: XXXVI, 366

  • Additional Information: Originally published in Russian

  • Topics: Partial Differential Equations, Mathematical Modeling and Industrial Mathematics, Classical Mechanics

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