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Theory of Elasticity

  • A. I. Lurie
  • Alexander Belyaev

Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Table of contents

  1. Front Matter
    Pages 1-25
  2. Basic concepts of continuum mechanics

    1. Front Matter
      Pages 27-27
    2. A. I. Lurie, Alexander Belyaev
      Pages 29-76
    3. A. I. Lurie, Alexander Belyaev
      Pages 77-123
  3. Governing equations of the linear theory of elasticity

    1. Front Matter
      Pages 125-125
    2. A. I. Lurie, Alexander Belyaev
      Pages 127-150
    3. A. I. Lurie, Alexander Belyaev
      Pages 151-239
  4. Special problems of the linear theory of elasticity

    1. Front Matter
      Pages 241-241
    2. A. I. Lurie, Alexander Belyaev
      Pages 243-407
    3. A. I. Lurie, Alexander Belyaev
      Pages 409-511
    4. A. I. Lurie, Alexander Belyaev
      Pages 513-689
  5. Basic relationships in the nonlinear theory of elasticity

    1. Front Matter
      Pages 691-691
    2. A. I. Lurie, Alexander Belyaev
      Pages 693-753
    3. A. I. Lurie, Alexander Belyaev
      Pages 755-878
  6. Back Matter
    Pages 879-1050

About this book

Introduction

This invaluable treatise belongs to the cultural heritage of mechanics. It is an encyclopaedia of the classic and analytic approaches of continuum mechanics and of many domains of natural science. The book is unique also because an impressive number of methods and approaches it displays have been worked out by the author himself. In particular, this implies a full consistency of notation, ideas and mathematical apparatus which results in a unified approach to a broad class of problems. The book is of great interest for engineers who will find a lot of analytical formulae for very different problems covering nearly all aspects of the elastic behavior of materials. In particular, it fills the gap between the well-developed numerical methods and sophisticated methods of elasticity theory. It is also intended for researchers and students taking their first steps in continuum mechanics as it offers a carefully written and logically substantiated basis of both linear and nonlinear continuum mechanics.

Keywords

Constututive Law Continuum Mechanics Deformation Natur mechanics numerical methods science

Authors and affiliations

  • A. I. Lurie
  • Alexander Belyaev
    • 1
  1. 1.Dept. Mechanical and Control ProcessesSt. Petersburg Technical UniversitySt. Petersburg Russian Federation

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-26455-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-24556-8
  • Online ISBN 978-3-540-26455-2
  • Series Print ISSN 1612-1384
  • Buy this book on publisher's site