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Mechanics of Structural Elements

Theory and Applications

  • Book
  • © 2007

Overview

Authors:
  1. Vladimir Slivker

    1. ISC Giprostroymost, 197198 St., Petersburg, Russia

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  • The author systematically uses the variational principle where it is most powerful – constructing numerical procedures and deriving basic governing equations of applied mechanics of solids
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XXVII
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  2. Basic Variational Principles of Static and Geometry in Structural Mechanics

    Pages 1-28

  3. Basic Variational Principles of Structural Mechanics

    Pages 29-97

  4. Additional Variational Principles of Structural Mechanics

    Pages 99-133

  5. Particular Classes of Problems in Structural Mechanics – Part 1

    Pages 135-220

  6. Particular Classes of Problems in Structural Mechanics – Part 2

    Pages 221-311

  7. Particular Classes of Problems in Structural Mechanics – Part 3

    Pages 313-393

  8. Particular Classes of Problems in Structural Mechanics – Part 4

    Pages 395-457

  9. Particular Classes of Problems in Structural Mechanics – Part 5

    Pages 459-495

  10. The Ritz Method and its Modifications

    Pages 497-538

  11. Variational Principles in Spectral Problems

    Pages 539-604

  12. Variational Principles in Stability/Buckling Analysis

    Pages 605-699

  13. Back Matter

    Pages 701-787
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Keywords

About this book

The presentment should be as simple as possible, but not a bit simpler. Albert Einstein Introduction The power of the variational approach in mechanics of solids and structures follows from its versatility: the approach is used both as a universal tool for describing physical relationships and as a basis for qualitative methods of analysis [1]. And there is yet another important advantage inherent in the variational approach – the latter is a crystal clear, pure and unsophisticated source of ideas that help build and establish numerical techniques for mechanics. This circumstance was realized thoroughly and became especially important after the advanced numerical techniques of structural mechanics, first of all the finite element method, had become a helpful tool of the modern engineer. Certainly, it took some time after pioneering works by Turner, Clough and Melos until the finite element method was understood as a numerical technique for solving mathematical physics problems; nowadays no one would attempt to question an eminent role played by the variational approach in the process of this understanding. It is a combination of intuitive engineer thinking and a thoroughly developed mathematical theory of variational calculus which gave the finite element method an impulse so strong that its influence can still be felt. It would be too rash to say that there are few publications or books on the subject matter discussed in this book.

Reviews

From the reviews:

"The book is indented for the self-contained reference for the topic, and is aimed at practicing engineers and researchers in the field of mechanics of solids. Graduate, postgraduate and doctoral students of mechanical engineering could benefit from using the book as well. … This well-written and organized book is a reader-friendly and good-organized manual in the field of variational approaches. It can be highly recommended for experts in mechanics of solids, engineers and for graduate, postgraduate and doctoral students." (Igor Andrianov, Zentralblatt MATH, Vol. 1107 (9), 2007)

Authors and Affiliations

  • ISC Giprostroymost, 197198 St., Petersburg, Russia

    Vladimir Slivker

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