Elasticity for Geotechnicians, 1st Edition

  • Published By:
  • ISBN-10: 3319012584
  • ISBN-13: 9783319012582
  • DDC: 531.382
  • Grade Level Range: College Freshman - College Senior
  • 178 Pages | eBook
  • Original Copyright 2014 | Published/Released May 2014
  • This publication's content originally published in print form: 2014

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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.

Table of Contents

Front Cover.
Half Title Page.
Aims and Scope of the Series.
Title Page.
Copyright Page.
About This Book.
1: One-Dimensional Paradigms.
2: Preliminaries.
3: Elements of Linear Elasticity.
4: Geometric and Analytic Tools.
5: Three Classical Problems: Flamant's, Boussinesq's, and Kelvin's.
6: The Flamant Problem.
7: The Boussinesq Problem.
8: The Kelvin Problem.
9: Three Other Problems: Melan's, Mindlin's, and Cerruti's.
10: The Melan and Mindlin Problems.
11: The Cerruti Problem.
12: Postface.
Appendix A.