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Elasticity for Geotechnicians

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

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  • © 2014

Overview

  • A fully detailed and user-friendly exposition of all title problems and their solutions
  • A new approach to old-fashioned problems
  • A judicious choice of additional material, both in the first preparatory part and in the appendix, so as to make this book reasonably self-contained, irrespectively of its modest size
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (8 chapters)

  1. Preliminaries

  2. Three Classical Problems: Flamant’s, Boussinesq’s, and Kelvin’s

  3. Three Other Problems: Melan’s, Mindlin’s, and Cerruti’s

Keywords

About this book

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.

Authors and Affiliations

  • Civil Eng. and Computer Engineering, University of Rome "Tor Vergata", Rome, Italy

    Paolo Podio-Guidugli

  • Continuum Mechanics and Material Mech., Hamburg University of Technology, Hamburg, Germany

    Antonino Favata

Bibliographic Information

  • Book Title: Elasticity for Geotechnicians

  • Book Subtitle: A Modern Exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin Problems

  • Authors: Paolo Podio-Guidugli, Antonino Favata

  • Series Title: Solid Mechanics and Its Applications

  • DOI: https://doi.org/10.1007/978-3-319-01258-2

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Hardcover ISBN: 978-3-319-01257-5Published: 01 October 2013

  • Softcover ISBN: 978-3-319-34530-7Published: 23 August 2016

  • eBook ISBN: 978-3-319-01258-2Published: 20 September 2013

  • Series ISSN: 0925-0042

  • Series E-ISSN: 2214-7764

  • Edition Number: 1

  • Number of Pages: XVI, 178

  • Number of Illustrations: 51 b/w illustrations

  • Topics: Theoretical and Applied Mechanics, Geoengineering, Foundations, Hydraulics, Classical Mechanics

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