Elasticity for Geotechnicians
Springer International Publishing (Verlag)
978-3-319-01257-5 (ISBN)
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.
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.
| Erscheint lt. Verlag | 1.10.2013 |
|---|---|
| Reihe/Serie | Solid Mechanics and Its Applications |
| Zusatzinfo | XVI, 178 p. 51 illus. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 461 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| Technik ► Bauwesen | |
| Technik ► Maschinenbau | |
| Schlagworte | Classical Elasticity • Concentrated Loads • Geomechanics • linear elasticity • Unbounded Domains |
| ISBN-10 | 3-319-01257-6 / 3319012576 |
| ISBN-13 | 978-3-319-01257-5 / 9783319012575 |
| Zustand | Neuware |
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