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 : 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.
Introduction To Linear Elasticity
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Author : Phillip L. Gould
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introduction To Linear Elasticity written by Phillip L. Gould 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 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.
Mathematical Theory Of Elastic Structures
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Author : Kang Feng
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Mathematical Theory Of Elastic Structures written by Kang Feng 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 2013-04-17 with Science categories.
Elasticity theory is a classical discipline. The mathematical theory of elasticity in mechanics, especially the linearized theory, is quite mature, and is one of the foundations of several engineering sciences. In the last twenty years, there has been significant progress in several areas closely related to this classical field, this applies in particular to the following two areas. First, progress has been made in numerical methods, especially the development of the finite element method. The finite element method, which was independently created and developed in different ways by sci entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el liptic equations. Experience has shown that the finite element method is efficient enough to solve problems in an extremely wide range of applica tions of elastic mechanics. In particular, the finite element method is very suitable for highly complicated problems. One of the authors (Feng) of this book had the good fortune to participate in the work of creating and establishing the theoretical basis of the finite element method. He thought in the early sixties that the method could be used to solve computational problems of solid mechanics by computers. Later practice justified and still continues to justify this point of view. The authors believe that it is now time to include the finite element method as an important part of the content of a textbook of modern elastic mechanics.
Mechanics Of Solids
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Author : Clifford Truesdell
language : en
Publisher: Springer
Release Date : 1973
Mechanics Of Solids 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 1973 with Science categories.
Uniqueness Theorems In Linear Elasticity
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Author : Robin J. Knops
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Uniqueness Theorems In Linear Elasticity written by Robin J. Knops 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 Science categories.
The classical result for uniqueness in elasticity theory is due to Kirchhoff. It states that the standard mixed boundary value problem for a homogeneous isotropic linear elastic material in equilibrium and occupying a bounded three-dimensional region of space possesses at most one solution in the classical sense, provided the Lame and shear moduli, A and J1 respectively, obey the inequalities (3 A + 2 J1) > 0 and J1>O. In linear elastodynamics the analogous result, due to Neumann, is that the initial-mixed boundary value problem possesses at most one solution provided the elastic moduli satisfy the same set of inequalities as in Kirchhoffs theorem. Most standard textbooks on the linear theory of elasticity mention only these two classical criteria for uniqueness and neglect altogether the abundant literature which has appeared since the original publications of Kirchhoff. To remedy this deficiency it seems appropriate to attempt a coherent description ofthe various contributions made to the study of uniqueness in elasticity theory in the hope that such an exposition will provide a convenient access to the literature while at the same time indicating what progress has been made and what problems still await solution. Naturally, the continuing announcement of new results thwarts any attempt to provide a complete assessment. Apart from linear elasticity theory itself, there are several other areas where elastic uniqueness is significant.
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
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: Elsevier
Release Date : 2012-12-02
Non Linear Theory Of Elasticity written by A.I. Lurie and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science 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.
Lecture Notes In Engineering
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Author : Kumbakonam Rajagopal
language : en
Publisher: de Gruyter
Release Date : 2023
Lecture Notes In Engineering written by Kumbakonam Rajagopal and has been published by de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Science categories.
These lecture notes deal with the behavior of elastic bodies subject to small displacement gradients, namely their linearized elastic response. The framework for describing the nonlinear response of elastic bodies is first put into place and then the linearization is carried out to delineate the status of the linearized theory of elasticity. Easy reading for upper-division and first-year engineering students is provided by a balanced combination of mathematical rigor and physical understanding. This lecture note grew out of a course that the author regularly teaches to undergraduate mechanical engineering students.