TY - BOOK AU - Podio-Guidugli,Paolo AU - Favata,Antonino TI - Elasticity for Geotechnicians : A Modern Exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin Problems T2 - Solid Mechanics and Its Applications, SN - 9783319012582 AV - TA349-359 PY - 2014/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Engineering KW - Mechanics KW - Mechanics, Applied KW - Engineering geology KW - Geology KW - Foundations KW - Hydraulics KW - Geoengineering N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/978-3-319-01258-2 ER -