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" Elasticity for geotechnicians : "
Paolo Podio-Guidugli, Antonino Favata
Document Type
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BL
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Record Number
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603902
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Doc. No
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b433121
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Main Entry
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Podio-Guidugli, Paolo
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Title & Author
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Elasticity for geotechnicians : : a modern exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin problems /\ Paolo Podio-Guidugli, Antonino Favata
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Series Statement
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Solid mechanics and its applications,; volume 204
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Page. NO
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1 online resource (xvi, 178 pages) :: illustrations
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ISBN
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3319012576
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: 3319012584 (electronic bk.)
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: 9783319012575
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: 9783319012582 (electronic bk.)
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9783319012575
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Bibliographies/Indexes
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Includes bibliographical references and index
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Contents
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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
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Abstract
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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
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Subject
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Elasticity-- Mathematical models
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Subject
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Elasticity
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Subject
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Engineering
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Subject
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Geoengineering, Foundations, Hydraulics
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Subject
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Mechanics
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Subject
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Theoretical and Applied Mechanics
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Dewey Classification
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531/.382
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LC Classification
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QA931
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Added Entry
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Favata, A., (Antonino)
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Added Entry
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Ohio Library and Information Network
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