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Saint-Venant's Problem

  • Book
  • © 1987

Overview

Authors:
  1. Dorin Ieşan
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1279)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-VIII
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  2. The relaxed Saint-Venant problem

    • Dorin Ieşan
    Pages 1-30

  3. Theory of loaded cylinders: The problems of Almansi and Michell

    • Dorin Ieşan
    Pages 31-43

  4. Anisotropic materials

    • Dorin Ieşan
    Pages 44-67

  5. Heterogeneous media

    • Dorin Ieşan
    Pages 68-94

  6. Saint-Venant's problem for cosserat elastic bodies

    • Dorin Ieşan
    Pages 95-147

  7. Back Matter

    Pages 148-162
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Keywords

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.

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