Elasticity for geotechnicians [electronic resource] : a modern exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin problems /
Podio-Guidugli, Paolo.author.
Favata, Antonino.author.
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.
Description based upon print version of record.
Includes bibliographical references and index.
About this book -- Preface -- References -- 1 One-Dimensional Paradigms -- Part I Preliminaries -- 2 Elements of Linear Elasticity -- 3 Geometric and Analytic Tools -- Part II Three Classical Problems: Flamant's, Boussinesq's, and Kelvin's -- 4 The Flamant Problem -- 5 The Boussinesq Problem -- 6 The Kelvin Problem -- Part III Three Other Problems: Melan's, Mindlin's, and Cerruti's -- 7 The Melan and Mindlin Problems -- 8 The Cerruti Problem -- Appendix -- Index of frequently used symbols -- Index.
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.
Mechanics.
Mechanics, Applied.
Engineering geology.
Engineering-Geology.
Foundations.
Hydraulics.
Theoretical and Applied Mechanics.
Geoengineering, Foundations, Hydraulics.
Classical Mechanics.

Solid Mechanics and Its Applications