Elasticity for Geotechnicians A Modern Exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin Problems /
| Autor Principal: | |
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| Otros autores o Colaboradores: | |
| Formato: | Libro |
| Lengua: | inglés |
| Datos de publicación: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Series: | Solid Mechanics and Its Applications,
204 |
| Temas: | |
| Acceso en línea: | http://dx.doi.org/10.1007/978-3-319-01258-2 |
| Resumen: | 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. |
| Descripción Física: | xvi, 178 p. : il. |
| ISBN: | 9783319012582 |
| ISSN: | 0925-0042 ; |
| DOI: | 10.1007/978-3-319-01258-2 |
Tabla de Contenidos:
- 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.