Theory Of Elasticity

Author : A.I. Lurie
Publisher : Springer Science & Business Media
Page : 1036 pages
File Size : 40,9 Mb
Release : 2010-05-30
Category : Technology & Engineering
ISBN : 9783540264552

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Theory of Elasticity by A.I. Lurie Pdf

The classical theory of elasticity maintains a place of honour in the science ofthe behaviour ofsolids. Its basic definitions are general for all branches of this science, whilst the methods forstating and solving these problems serve as examples of its application. The theories of plasticity, creep, viscoelas ticity, and failure of solids do not adequately encompass the significance of the methods of the theory of elasticity for substantiating approaches for the calculation of stresses in structures and machines. These approaches constitute essential contributions in the sciences of material resistance and structural mechanics. The first two chapters form Part I of this book and are devoted to the basic definitions ofcontinuum mechanics; namely stress tensors (Chapter 1) and strain tensors (Chapter 2). The necessity to distinguish between initial and actual states in the nonlinear theory does not allow one to be content with considering a single strain measure. For this reason, it is expedient to introduce more rigorous tensors to describe the stress-strain state. These are considered in Section 1.3 for which the study of Sections 2.3-2.5 should precede. The mastering of the content of these sections can be postponed until the nonlinear theory is studied in Chapters 8 and 9.

Author : R. J. Atkin,N. Fox
Publisher : Courier Corporation
Page : 272 pages
File Size : 43,6 Mb
Release : 2013-02-20
Category : Science
ISBN : 9780486150994

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An Introduction to the Theory of Elasticity by R. J. Atkin,N. Fox Pdf

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.

Author : Teodor M. Atanackovic,Ardeshir Guran
Publisher : Springer Science & Business Media
Page : 378 pages
File Size : 47,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461213307

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Theory of Elasticity for Scientists and Engineers by Teodor M. Atanackovic,Ardeshir Guran Pdf

This book is intended to be an introduction to elasticity theory. It is as sumed that the student, before reading this book, has had courses in me chanics (statics, dynamics) and strength of materials (mechanics of mate rials). It is written at a level for undergraduate and beginning graduate engineering students in mechanical, civil, or aerospace engineering. As a background in mathematics, readers are expected to have had courses in ad vanced calculus, linear algebra, and differential equations. Our experience in teaching elasticity theory to engineering students leads us to believe that the course must be problem-solving oriented. We believe that formulation and solution of the problems is at the heart of elasticity theory. 1 Of course orientation to problem-solving philosophy does not exclude the need to study fundamentals. By fundamentals we mean both mechanical concepts such as stress, deformation and strain, compatibility conditions, constitu tive relations, energy of deformation, and mathematical methods, such as partial differential equations, complex variable and variational methods, and numerical techniques. We are aware of many excellent books on elasticity, some of which are listed in the References. If we are to state what differentiates our book from other similar texts we could, besides the already stated problem-solving ori entation, list the following: study of deformations that are not necessarily small, selection of problems that we treat, and the use of Cartesian tensors only.

Author : William S. Slaughter
Publisher : Springer Science & Business Media
Page : 557 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461200932

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The Linearized Theory of Elasticity by William S. Slaughter Pdf

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.

Author : Martin H. Sadd
Publisher : Elsevier
Page : 480 pages
File Size : 47,9 Mb
Release : 2010-08-04
Category : Science
ISBN : 008047747X

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Elasticity by Martin H. Sadd Pdf

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

Author : A.I. Lurie
Publisher : Elsevier
Page : 617 pages
File Size : 47,9 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780444597236

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Non-Linear Theory of Elasticity by A.I. Lurie Pdf

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.

Author : L D Landau,L. P. Pitaevskii,A. M. Kosevich,E.M. Lifshitz
Publisher : Elsevier
Page : 196 pages
File Size : 43,8 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780080570693

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Theory of Elasticity by L D Landau,L. P. Pitaevskii,A. M. Kosevich,E.M. Lifshitz Pdf

A comprehensive textbook covering not only the ordinary theory of the deformation of solids, but also some topics not usually found in textbooks on the subject, such as thermal conduction and viscosity in solids.

Author : Yukitaka Murakami
Publisher : John Wiley & Sons
Page : 472 pages
File Size : 47,6 Mb
Release : 2016-09-13
Category : Technology & Engineering
ISBN : 9781119274131

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Theory of Elasticity and Stress Concentration by Yukitaka Murakami Pdf

Theory of Elasticity and Stress Concentration Yukitaka Murakami, Kyushu University, Japan A comprehensive guide to elasticity and stress concentration Theory of Elasticity and Stress Concentration comprehensively covers elasticity and stress concentration and demonstrates how to apply the theory to practical engineering problems. The book presents a new approach to the topic without the need for complicated mathematics, and the principles and meaning of stress concentration are covered without reliance on numerical analysis. The book consists of two parts: Part I - Theory of Elasticity and Part II - Stress Concentration. Part I treats the theory of elasticity from the viewpoint of helping the reader to comprehend the essence of it. Part II treats the principle and meaning of stress concentration and guides the reader to a better understanding of it. Throughout the book, many useful and interesting applications of the basic new way of thinking are presented and explained. Key features: Unique approach to the topics. Encourages the readers to acquire the new way of thinking and engineering judgement. Includes examples, problems and solutions. This book provides essential reading for researchers and practitioners in the structural and mechanical engineering industries.

Author : H. JANE HELENA
Publisher : PHI Learning Pvt. Ltd.
Page : 264 pages
File Size : 52,7 Mb
Release : 2017-07-01
Category : Technology & Engineering
ISBN : 9788120352834

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THEORY OF ELASTICITY AND PLASTICITY by H. JANE HELENA Pdf

Theory of Elasticity and Plasticity is designed as a textbook for both undergraduate and postgraduate students of engineering in civil, mechanical and aeronautical disciplines. This book has been written with the objective of bringing the concepts of elasticity and plasticity to the students in a simplified and comprehensive manner. The basic concepts, definitions, theory as well as practical applications are discussed in a clear, logical and concise manner for better understanding. Starting with, general relationships between stress, strain and deformations, the book deals with specific problems on plane stress, plane strain and torsion in non-circular sections. Advanced topics such as membrane analogy, beams on elastic foundations and plastic analysis of pressure vessels are also discussed elaborately. For better comprehension, the text is well supported with:  Large number of worked-out examples in each chapter.  Well-labelled illustrations.  Numerous Review Questions that reinforce the understanding of the subject. As all the concepts are covered extensively with a blend of theory and practice, this book will be a useful resource to the students.

Author : Larry A Taber
Publisher : World Scientific
Page : 416 pages
File Size : 44,9 Mb
Release : 2004-02-19
Category : Science
ISBN : 9789814483391

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Nonlinear Theory Of Elasticity: Applications In Biomechanics by Larry A Taber Pdf

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.

Author : M. Reza Eslami,Richard B. Hetnarski,Józef Ignaczak,Naotake Noda,Naobumi Sumi,Yoshinobu Tanigawa
Publisher : Springer Science & Business Media
Page : 789 pages
File Size : 51,8 Mb
Release : 2013-05-13
Category : Science
ISBN : 9789400763562

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Theory of Elasticity and Thermal Stresses by M. Reza Eslami,Richard B. Hetnarski,Józef Ignaczak,Naotake Noda,Naobumi Sumi,Yoshinobu Tanigawa Pdf

This book contains the elements of the theory and the problems of Elasticity and Thermal Stresses with full solutions. The emphasis is placed on problems and solutions and the book consists of four parts: one part is on The Mathematical Theory of Elasticity, two parts are on Thermal Stresses and one part is on Numerical Methods. The book is addressed to higher level undergraduate students, graduate students and engineers and it is an indispensable companion to all who study any of the books published earlier by the authors. This book links the three previously published books by the authors into one comprehensive entity.

Author : N.I. Muskhelishvili
Publisher : Springer Science & Business Media
Page : 774 pages
File Size : 54,9 Mb
Release : 1977-04-30
Category : Technology & Engineering
ISBN : 9001607012

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Some Basic Problems of the Mathematical Theory of Elasticity by N.I. Muskhelishvili Pdf

TO THE FIRST ENGLISH EDITION. In preparing this translation, I have taken the liberty of including footnotes in the main text or inserting them in small type at the appropriate places. I have also corrected minor misprints without special mention .. The Chapters and Sections of the original text have been called Parts and Chapters respectively, where the latter have been numbered consecutively. The subject index was not contained in the Russian original and the authors' index represents an extension of the original list of references. In this way the reader should be able to find quickly the pages on which anyone reference is discussed. The transliteration problem has been overcome by printing the names of Russian authors and journals also in Russian type. While preparing this translation in the first place for my own informa tion, the knowledge that it would also become accessible to a large circle of readers has made the effort doubly worthwhile. I feel sure that the reader will share with me in my admiration for the simplicity and lucidity of presentation.

Author : Stephen Timoshenko,John Moyes Lessells
Publisher : Unknown
Page : 594 pages
File Size : 51,6 Mb
Release : 1925
Category : Technology & Engineering
ISBN : UOM:39015002087016

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Applied Elasticity by Stephen Timoshenko,John Moyes Lessells Pdf

Author : Augustus Edward Hough Love
Publisher : Courier Corporation
Page : 674 pages
File Size : 40,6 Mb
Release : 1944-01-01
Category : Technology & Engineering
ISBN : 9780486601748

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A Treatise on the Mathematical Theory of Elasticity by Augustus Edward Hough Love Pdf

The most complete single-volume treatment of classical elasticity, this text features extensive editorial apparatus, including a historical introduction. Topics include stress, strain, bending, torsion, gravitational effects, and much more. 1927 edition.

Author : Kang Feng,Zhong-Ci Shi
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 47,7 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662032862

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Mathematical Theory of Elastic Structures by Kang Feng,Zhong-Ci Shi Pdf

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.