The Linearized Theory Of Elasticity
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The Linearized Theory Of Elasticity
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Author : William S. Slaughter
language : en
Publisher: Springer Science & Business Media
Release Date : 2002
The Linearized Theory Of Elasticity written by William S. Slaughter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
The mathematical framework behind the theory is developed in detail, with the assumptions behind the eventual linearization made clear, so that the reader will be adequately prepared for further studies in continuum mechanics, nonlinear elasticity, inelasticity, fracture mechanics and/or finite elements. Prior to linearization, configurations and general measure of strain and stress are discussed. A modern treatment of the theory of tensors and tensor calculus is used. General curvilinear coordinates are described in an appendix.
Introduction To Linear Elasticity
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Author : Phillip L. Gould
language : en
Publisher: Springer
Release Date : 1993-12-09
Introduction To Linear Elasticity written by Phillip L. Gould and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-12-09 with Technology & Engineering categories.
This applications-oriented introduction fills an important gap in the field of solid mechanics. Offering a thorough grounding in the tensor-based theory of elasticity for courses in mechanical, civil, materials or aeronautical engineering, it allows students to apply the basic notions of mechanics to such important topics as stress analysis. Further, they will also acquire the necessary background for more advanced work in elasticity, plasticity, shell theory, composite materials and finite element mechanics. This second edition features new chapters on the bending of thin plates, time-dependent effects, and strength and failure criteria.
The Linearized Theory Of Elasticity
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Author : William S. Slaughter
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Linearized Theory Of Elasticity written by William S. Slaughter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
This book is derived from notes used in teaching a first-year graduate-level course in elasticity in the Department of Mechanical Engineering at the University of Pittsburgh. This is a modern treatment of the linearized theory of elasticity, which is presented as a specialization of the general theory of continuum mechanics. It includes a comprehensive introduction to tensor analysis, a rigorous development of the governing field equations with an emphasis on recognizing the assumptions and approximations in herent in the linearized theory, specification of boundary conditions, and a survey of solution methods for important classes of problems. Two- and three-dimensional problems, torsion of noncircular cylinders, variational methods, and complex variable methods are covered. This book is intended as the text for a first-year graduate course in me chanical or civil engineering. Sufficient depth is provided such that the text can be used without a prerequisite course in continuum mechanics, and the material is presented in such a way as to prepare students for subsequent courses in nonlinear elasticity, inelasticity, and fracture mechanics. Alter natively, for a course that is preceded by a course in continuum mechanics, there is enough additional content for a full semester of linearized elasticity.
Linear Theories Of Elasticity And Thermoelasticity
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Author : Clifford Truesdell
language : en
Publisher: Springer
Release Date : 2013-12-17
Linear Theories Of Elasticity And Thermoelasticity written by Clifford Truesdell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-17 with Technology & Engineering categories.
Elasticity
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Author : Martin H. Sadd
language : en
Publisher: Elsevier
Release Date : 2010-08-04
Elasticity written by Martin H. Sadd and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-04 with Technology & Engineering categories.
Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. - Contains exercises for student engagement as well as the integration and use of MATLAB Software - Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of
Theory Of Elasticity
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Author : T. G. Sitharam
language : en
Publisher: Springer Nature
Release Date : 2021-03-25
Theory Of Elasticity written by T. G. Sitharam and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-25 with Technology & Engineering categories.
Theory of Elasticity provides a modern and integrated treatment of the foundations of solid mechanics as applied to the mathematical description of material behavior primarily to serve the needs of undergraduate, postgraduate and research students of Civil, Mechanical and Aeronautical engineering. Basic concepts, definitions, theory as well as related practical applications are discussed in a logical and concise manner. The book includes a pedagogical features such as worked examples and problems to consolidate the readers’ understanding of fundamental principles and illustrates their applications in many practical situations. An important feature of this book lies in the use of linear theory of elasticity to obtain solutions to some of the specialized problems related to soil mechanics and foundation engineering in particular.
Non Linear Theory Of Elasticity And Optimal Design
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Author : L.W. Ratner
language : en
Publisher: Elsevier
Release Date : 2003-11-12
Non Linear Theory Of Elasticity And Optimal Design written by L.W. Ratner and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-12 with Science categories.
In order to select an optimal structure among possible similar structures, one needs to compare the elastic behavior of the structures. A new criterion that describes elastic behavior is the rate of change of deformation. Using this criterion, the safe dimensions of a structure that are required by the stress distributed in a structure can be calculated. The new non-linear theory of elasticity allows one to determine the actual individual limit of elasticity/failure of a structure using a simple non-destructive method of measurement of deformation on the model of a structure while presently it can be done only with a destructive test for each structure. For building and explaining the theory, a new logical structure was introduced as the basis of the theory. One of the important physical implications of this logic is that it describes mathematically the universal domain of the possible stable physical relations.
Non Linear Theory Of Elasticity
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Author : A.I. Lurie
language : en
Publisher: North Holland
Release Date : 1990-11-13
Non Linear Theory Of Elasticity written by A.I. Lurie and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-11-13 with Mathematics categories.
This book examines in detail the Theory of Elasticity which is a branch of the mechanics of a deformable solid. Special emphasis is placed on the investigation of the process of deformation within the framework of the generally accepted model of a medium which, in this case, is an elastic body. A comprehensive list of Appendices is included providing a wealth of references for more in depth coverage. The work will provide both a stimulus for future research in this field as well as useful reference material for many years to come.
Nonlinear Theory Of Elasticity Applications In Biomechanics
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Author : Larry A Taber
language : en
Publisher: World Scientific
Release Date : 2004-02-19
Nonlinear Theory Of Elasticity Applications In Biomechanics written by Larry A Taber and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-19 with Science categories.
Soft biological tissues often undergo large (nearly) elastic deformations that can be analyzed using the nonlinear theory of elasticity. Because of the varied approaches to nonlinear elasticity in the literature, some aspects of the subject may be difficult to appreciate. This book attempts to clarify and unify those treatments, illustrating the advantages and disadvantages of each through various examples in the mechanics of soft tissues. Applications include muscle, arteries, the heart, and embryonic tissues.
An Introduction To The Theory Of Elasticity
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Author : R. J. Atkin
language : en
Publisher: Courier Corporation
Release Date : 2013-02-20
An Introduction To The Theory Of Elasticity written by R. J. Atkin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-20 with Science categories.
Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.