Elasticity for geotechnicians : a modern exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin problems
著者
書誌事項
Elasticity for geotechnicians : a modern exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin problems
（Solid mechanics and its applications, v. 204）
Springer, c2014
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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
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