LEADER 03011oam 2200469 450 001 9910299491903321 005 20190911112725.0 010 $a3-319-01258-4 024 7 $a10.1007/978-3-319-01258-2 035 $a(OCoLC)859773694 035 $a(MiFhGG)GVRL6XLP 035 $a(EXLCZ)992670000000428614 100 $a20130621d2014 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aElasticity for geotechnicians $ea modern exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin problems /$fP. Podio-Guidugli, A. Favata 205 $a1st ed. 2014. 210 1$aCham [Switzerland] :$cSpringer,$d2014. 215 $a1 online resource (xvi, 178 pages) $cillustrations 225 1 $aSolid Mechanics and Its Applications,$x0925-0042 ;$v204 300 $a"ISSN: 0925-0042." 311 $a3-319-01257-6 320 $aIncludes bibliographical references and index. 327 $aAbout 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. 330 $aThis book deals in a modern manner with a family of named problems from an old and mature subject, classical elasticity. These problems are formulated over either a half or the whole of a linearly elastic and isotropic two- or three-dimensional space, subject to loads concentrated at points or lines. The discussion of each problem begins with a careful examination of the prevailing symmetries, and proceeds with inverting the canonical order, in that it moves from a search for balanced stress fields to the associated strain and displacement fields. The book, although slim, is  fairly well self-contained; the only prerequisite is a reasonable familiarity with linear algebra (in particular, manipulation of vectors and tensors) and with the usual differential operators of mathematical physics (gradient, divergence, curl, and Laplacian); the few nonstandard notions are introduced with care. Support material for all parts of the book is found in the final Appendix. 410 0$aSolid mechanics and its applications ;$vvolume 204. 606 $aElasticity 606 $aElasticity$xMathematical models 615 0$aElasticity. 615 0$aElasticity$xMathematical models. 676 $a531.382 700 $aPodio-Guidugli$b Paolo$4aut$4http://id.loc.gov/vocabulary/relators/aut$054096 702 $aFavata$b A$g(Antonino), 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910299491903321 996 $aElasticity for Geotechnicians$91971428 997 $aUNINA