Elasticity for Geotechnicians: A Modern Exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin Problems
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
2014
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| Schriftenreihe: | Solid Mechanics and Its Applications
204 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XVI, 178 p.) 51 illus |
| ISBN: | 9783319012582 |
| DOI: | 10.1007/978-3-319-01258-2 |
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Datensatz im Suchindex
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| adam_text | ELASTICITY FOR GEOTECHNICIANS
/ PODIO-GUIDUGLI, PAOLO
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
ELASTICITY FOR GEOTECHNICIANS
/ PODIO-GUIDUGLI, PAOLO
: 2014
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Podio-Guidugli, Paolo |
| author_facet | Podio-Guidugli, Paolo |
| author_role | aut |
| author_sort | Podio-Guidugli, Paolo |
| author_variant | p p g ppg |
| building | Verbundindex |
| bvnumber | BV041470941 |
| collection | ZDB-2-ENG |
| contents | 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 |
| ctrlnum | (OCoLC)862985599 (DE-599)BVBBV041470941 |
| dewey-full | 620.1 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1 |
| dewey-search | 620.1 |
| dewey-sort | 3620.1 |
| dewey-tens | 620 - Engineering and allied operations |
| doi_str_mv | 10.1007/978-3-319-01258-2 |
| format | Electronic eBook |
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| id | DE-604.BV041470941 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-01T10:55:48Z |
| institution | BVB |
| isbn | 9783319012582 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026917083 |
| oclc_num | 862985599 |
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| series | Solid Mechanics and Its Applications |
| series2 | Solid Mechanics and Its Applications |
| spellingShingle | Podio-Guidugli, Paolo Elasticity for Geotechnicians A Modern Exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin Problems Solid Mechanics and Its Applications 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 Engineering Mechanics Mechanics, applied Hydraulic engineering Theoretical and Applied Mechanics Geoengineering, Foundations, Hydraulics Ingenieurwissenschaften |
| title | Elasticity for Geotechnicians A Modern Exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin Problems |
| title_auth | Elasticity for Geotechnicians A Modern Exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin Problems |
| title_exact_search | Elasticity for Geotechnicians A Modern Exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin Problems |
| title_full | Elasticity for Geotechnicians A Modern Exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin Problems by Paolo Podio-Guidugli, Antonino Favata |
| title_fullStr | Elasticity for Geotechnicians A Modern Exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin Problems by Paolo Podio-Guidugli, Antonino Favata |
| title_full_unstemmed | Elasticity for Geotechnicians A Modern Exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin Problems by Paolo Podio-Guidugli, Antonino Favata |
| title_short | Elasticity for Geotechnicians |
| title_sort | elasticity for geotechnicians a modern exposition of kelvin boussinesq flamant cerruti melan and mindlin problems |
| title_sub | A Modern Exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin Problems |
| topic | Engineering Mechanics Mechanics, applied Hydraulic engineering Theoretical and Applied Mechanics Geoengineering, Foundations, Hydraulics Ingenieurwissenschaften |
| topic_facet | Engineering Mechanics Mechanics, applied Hydraulic engineering Theoretical and Applied Mechanics Geoengineering, Foundations, Hydraulics Ingenieurwissenschaften |
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