Elasticity for Geotechnicians

A Modern Exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin Problems

  • Paolo Podio-Guidugli
  • Antonino Favata

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 204)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. P. Podio-Guidugli, A. Favata
    Pages 1-13
  3. Preliminaries

    1. Front Matter
      Pages 15-15
    2. P. Podio-Guidugli, A. Favata
      Pages 17-41
    3. P. Podio-Guidugli, A. Favata
      Pages 43-52
  4. Three Classical Problems: Flamant’s, Boussinesq’s, and Kelvin’s

    1. Front Matter
      Pages 53-53
    2. P. Podio-Guidugli, A. Favata
      Pages 55-77
    3. P. Podio-Guidugli, A. Favata
      Pages 79-114
    4. P. Podio-Guidugli, A. Favata
      Pages 115-129
  5. Three Other Problems: Melan’s, Mindlin’s, and Cerruti’s

    1. Front Matter
      Pages 131-131
    2. P. Podio-Guidugli, A. Favata
      Pages 133-148
    3. P. Podio-Guidugli, A. Favata
      Pages 149-157
  6. Back Matter
    Pages 159-178

About this book

Introduction

This book deals in a modern manner with a family of named problems from an old and mature subject, classical elasticity. These problems are formulated over either a half or the whole of a linearly elastic and isotropic two- or three-dimensional space, subject to loads concentrated at points or lines. The discussion of each problem begins with a careful examination of the prevailing symmetries, and proceeds with inverting the canonical order, in that it moves from a search for balanced stress fields to the associated strain and displacement fields.

The book, although slim, is  fairly well self-contained; the only prerequisite is a reasonable familiarity with linear algebra (in particular, manipulation of vectors and tensors) and with the usual differential operators of mathematical physics (gradient, divergence, curl, and Laplacian); the few nonstandard notions are introduced with care. Support material for all parts of the book is found in the final Appendix.

Keywords

Classical Elasticity Concentrated Loads Geomechanics Linear Elasticity Unbounded Domains

Authors and affiliations

  • Paolo Podio-Guidugli
    • 1
  • Antonino Favata
    • 2
  1. 1.Civil Eng. and Computer EngineeringUniversity of Rome "Tor Vergata"RomeItaly
  2. 2.Continuum Mechanics and Material Mech.Hamburg University of TechnologyHamburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-01258-2
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-01257-5
  • Online ISBN 978-3-319-01258-2
  • Series Print ISSN 0925-0042
  • About this book