| Description |
1 online resource (xvi, 178 pages) : illustrations |
| Series |
Solid mechanics and its applications, 0925-0042 ; volume 204 |
|
Solid mechanics and its applications ; v. 204.
|
| Contents |
One-Dimensional Paradigms -- Part I. Preliminaries -- Elements of Linear Elasticity -- Geometric and Analytic Tools -- Part II. Three Classical Problems: Flamant's, Boussinesq's, and Kelvin's -- The Flamant Problem -- The Boussinesq Problem -- The Kelvin Problem -- Part III. Three Other Problems: Melan's, Mindlin's, and Cerruti's -- The Melan and Mindlin Problems -- The Cerruti Problem |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
|
Online resource; title from PDF title page (SpringerLink, viewed September 24, 2013) |
| Subject |
Elasticity.
|
|
Elasticity -- Mathematical models
|
|
Elasticity
|
|
SCIENCE -- Mechanics -- General.
|
|
SCIENCE -- Mechanics -- Solids.
|
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Ingénierie.
|
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Elasticity
|
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Elasticity -- Mathematical models
|
| Form |
Electronic book
|
| Author |
Favata, A. (Antonino), author.
|
| ISBN |
9783319012582 |
|
3319012584 |
|
3319012576 |
|
9783319012575 |
|
