© 1987

Saint-Venant's Problem

  • Authors

Part of the Lecture Notes in Mathematics book series (LNM, volume 1279)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Dorin Ieşan
    Pages 1-30
  3. Dorin Ieşan
    Pages 44-67
  4. Dorin Ieşan
    Pages 68-94
  5. Back Matter
    Pages 148-162

About this book


This monograph is concerned with the equilibrium of linearly elastic cylinders. It gives an up-to-date and systematic treatment of extension, bending, torsion and flexure of cylinders, including the deformation of homogeneous and nonhomogeneous anisotropic elastic cylinders by loads distributed on their lateral surfaces. Minimum energy characterizations of the solutions are discussed. An analysis of Saint-Venant's principle, in the context for which it was originally intended, is also presented. Many of the results included have not appeared or been previously discussed in the literature, and illustrative applications are presented throughout.


deformation energy minimum

Bibliographic information

  • Book Title Saint-Venant's Problem
  • Authors Dorin Iesan
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-18361-7
  • eBook ISBN 978-3-540-47911-6
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages X, 166
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Theoretical, Mathematical and Computational Physics
    Classical Mechanics
  • Buy this book on publisher's site
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