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Elasticity for Geotechnicians

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

Paperback Engels 2016 9783319345307
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Samenvatting

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.

Specificaties

ISBN13:9783319345307
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing

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Inhoudsopgave

<p>About this book <br><br>Preface <br><br>References <br><br>1 One-Dimensional Paradigms <br><br>Part I Preliminaries<br>2 Elements of Linear Elasticity <br>3 Geometric and Analytic Tools <br><br>Part II Three Classical Problems: Flamant's, Boussinesq's, and Kelvin's<br>4 The Flamant Problem <br>5 The Boussinesq Problem<br>6 The Kelvin Problem <br><br>Part III Three Other Problems: Melan's, Mindlin's, and Cerruti's<br>7 The Melan and Mindlin Problems <br>8 The Cerruti Problem </p><p>Appendix </p><p>Index of frequently used symbols </p><p>Index</p>

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        Elasticity for Geotechnicians