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.

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

Autorentext

Paolo Podio-Guidugli studied Nuclear Engineering at the University of Pisa. He has served as a full professor of Mechanics of Materials and Structures at the Universities of Ancona, Pisa, and Roma Tor Vergata. He is a fellow of the Accademia Nazionale dei Lincei. He has published more than 240 papers and 7 books, and co-edited 4 books. His research interests are in foundational and applied issues in rational continuum physics: elasticity (general and applied to rods, plates, shells, and nanotubes), plasticity, multiscale modeling of condensed matter, materials (oriented, with internal constraints, with elastic range), phase interface motion, phase segregation by atomic rearrangement, crack propagation, deformable ferromagnets, strain and superconductivity, and thermodynamics.

Inhalt
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, andKelvin'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.