An Introduction To The Theory Of Elasticity

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An Introduction to the Theory of Elasticity

An Introduction to the Theory of Elasticity [Pdf/ePub] eBook ISBN-10: 0486150992
Author: R. J. Atkin,N. Fox
Publisher: Courier Corporation
File Size: 1804 KB
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An Introduction to the Theory of Elasticity by R. J. Atkin,N. Fox Book Resume:

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.

Classical Mechanics

Classical Mechanics [Pdf/ePub] eBook ISBN-10: 3319487108
Author: Reinhard Hentschke
Publisher: Springer
File Size: 405 KB
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Classical Mechanics by Reinhard Hentschke Book Resume:

This textbook teaches classical mechanics as one of the foundations of physics. It describes the mechanical stability and motion in physical systems ranging from the molecular to the galactic scale. Aside from the standard topics of mechanics in the physics curriculum, this book includes an introduction to the theory of elasticity and its use in selected modern engineering applications, e.g. dynamic mechanical analysis of viscoelastic materials. The text also covers many aspects of numerical mechanics, ranging from the solution of ordinary differential equations, including molecular dynamics simulation of many particle systems, to the finite element method. Attendant Mathematica programs or parts thereof are provided in conjunction with selected examples. Numerous links allow the reader to connect to related subjects and research topics. Among others this includes statistical mechanics (separate chapter), quantum mechanics, space flight, galactic dynamics, friction, and vibration spectroscopy. An introductory chapter compiles all essential mathematical tools, ranging from coordinates to complex numbers. Completely solved problems and examples facilitate a thorough understanding of the material.

Introduction to Elasticity Theory for Crystal Defects

Introduction to Elasticity Theory for Crystal Defects [Pdf/ePub] eBook ISBN-10: 9814749745
Author: Robert W Balluffi
Publisher: World Scientific Publishing Company
File Size: 650 KB
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Introduction to Elasticity Theory for Crystal Defects by Robert W Balluffi Book Resume:

The book presents a unified and self-sufficient and reader-friendly introduction to the anisotropic elasticity theory necessary to model a wide range of point, line, planar and volume type crystal defects (e.g., vacancies, dislocations, interfaces, inhomogeneities and inclusions). The necessary elasticity theory is first developed along with basic methods for obtaining solutions. This is followed by a detailed treatment of each defect type. Included are analyses of their elastic fields and energies, their interactions with imposed stresses and image stresses, and the interactions that occur between them, all employing the basic methods introduced earlier. All results are derived in full with intermediate steps shown, and "it can be shown" is avoided. A particular effort is made to describe and compare different methods of solving important problems. Numerous exercises (with solutions) are provided to strengthen the reader's understanding and extend the immediate text. In the 2nd edition an additional chapter has been added which treats the important topic of the self-forces that are experienced by defects that are extended in more than one dimension. A considerable number of exercises have been added which expand the scope of the book and furnish further insights. Numerous sections of the book have been rewritten to provide additional clarity and scope. The major aim of the book is to provide, in one place, a unique and complete introduction to the anisotropic theory of elasticity for defects written in a manner suitable for both students and professionals.

Treatise on Classical Elasticity

Treatise on Classical Elasticity [Pdf/ePub] eBook ISBN-10: 9400726163
Author: Petre P. Teodorescu
Publisher: Springer Science & Business Media
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Treatise on Classical Elasticity by Petre P. Teodorescu Book Resume:

Deformable solids have a particularly complex character; mathematical modeling is not always simple and often leads to inextricable difficulties of computation. One of the simplest mathematical models and, at the same time, the most used model, is that of the elastic body – especially the linear one. But, notwithstanding its simplicity, even this model of a real body may lead to great difficulties of computation. The practical importance of a work about the theory of elasticity, which is also an introduction to the mechanics of deformable solids, consists of the use of scientific methods of computation in a domain in which simplified methods are still used. This treatise takes into account the consideration made above, with special attention to the theoretical study of the state of strain and stress of a deformable solid. The book draws on the known specialized literature, as well as the original results of the author and his 50+ years experience as Professor of Mechanics and Elasticity at the University of Bucharest. The construction of mathematical models is made by treating geometry and kinematics of deformation, mechanics of stresses and constitutive laws. Elastic, plastic and viscous properties are thus put in evidence and the corresponding theories are developed. Space problems are treated and various particular cases are taken into consideration. New solutions for boundary value problems of finite and infinite domains are given and a general theory of concentrated loads is built. Anisotropic and non-homogeneous bodies are studied as well. Cosserat type bodies are also modeled. The connection with thermal and viscous phenomena will be considered too. Audience: researchers in applied mathematics, mechanical and civil engineering.

Elasticity

Elasticity [Pdf/ePub] eBook ISBN-10: 9780080922416
Author: Martin H. Sadd
Publisher: Academic Press
File Size: 1009 KB
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Elasticity by Martin H. Sadd Book Resume:

Elasticity: Theory, Applications and Numerics Second Edition provides a concise and organized presentation and development of the theory of elasticity, moving from solution methodologies, formulations and strategies into applications of contemporary interest, including fracture mechanics, anisotropic/composite materials, micromechanics and computational methods. Developed as a text for a one- or two-semester graduate elasticity course, this new edition is the only elasticity text to provide coverage in the new area of non-homogenous, or graded, material behavior. Extensive end-of-chapter exercises throughout the book are fully incorporated with the use of MATLAB software. Provides a thorough yet concise introduction to general elastic theory and behavior Demonstrates numerous applications in areas of contemporary interest including fracture mechanics, anisotropic/composite and graded materials, micromechanics, and computational methods The only current elasticity text to incorporate MATLAB into its extensive end-of-chapter exercises The book's organization makes it well-suited for a one or two semester course in elastictiy Features New to the Second Edition: First elasticity text to offer a chapter on non-homogenous, or graded, material behavior New appendix on review of undergraduate mechanics of materials theory to make the text more self-contained 355 end of chapter exercises – 30% NEW to this edition

Introduction To The Theory Of Critical Phenomena: Mean Field, Fluctuations And Renormalization

Introduction To The Theory Of Critical Phenomena: Mean Field, Fluctuations And Renormalization [Pdf/ePub] eBook ISBN-10: 9814506613
Author: Uzunov Dimo I
Publisher: World Scientific
File Size: 475 KB
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Introduction To The Theory Of Critical Phenomena: Mean Field, Fluctuations And Renormalization by Uzunov Dimo I Book Resume:

The sophistication of modern tools used in the study of statistical mechanics and field theory is often an obstacle to the easy understanding of new important current results reported in journals. The main purpose of this book is to introduce the reader to the methods of the fluctuation (field) theory of phase transitions and critical phenomena so as to provide a good source for research. The introductory contents are concerned with ideas of description, thermodynamic stability theory related to phase transitions, major experimental facts, basic models and their relationships. Special attention is paid to the mean field approximation and to the Landau expansion for simple and complex models of critical and multicritical phenomena. An instructive representation of the modern perturbation theory and the method of the renormalization group is developed for field models of phase transitions. The essential influence of the fluctuations on the critical behaviour is established together with the theory of correlation functions, Gaussian approximation, the Ginzburg criterion, ∈- and 1/n- expansions as practical realizations of the renormalization group ideas. Applications of the theory to concrete aspects of condensed matter physics are considered: quantum effects, Bose condensation, crystal anisotropy, superconductors and liquid crystals, effects of disorder of type randomly distributed quenched impurities and random fields. This volume can be used as an advanced University course book for students with a basic knowledge of statistical physics and quantum mechanics. It could be considered as a complementary text to a standard University course on statistical physics.

Introduction to Linear Elasticity

Introduction to Linear Elasticity [Pdf/ePub] eBook ISBN-10: 1461448336
Author: Phillip L Gould
Publisher: Springer Science & Business Media
File Size: 1956 KB
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Introduction to Linear Elasticity by Phillip L Gould Book Resume:

Introduction to Linear Elasticity, 3rd Edition provides an applications-oriented grounding in the tensor-based theory of elasticity for students in mechanical, civil, aeronautical, biomedical engineering, as well as materials and earth science. The book is distinct from the traditional text aimed at graduate students in solid mechanics by introducing its subject at a level appropriate for advanced undergraduate and beginning graduate students. The author's presentation allows students to apply the basic notions of stress analysis and move on to advanced work in continuum mechanics, plasticity, plate and shell theory, composite materials, and finite method analysis.

Mechanics of Materials

Mechanics of Materials [Pdf/ePub] eBook ISBN-10: 1483105547
Author: E. J. Hearn
Publisher: Elsevier
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Mechanics of Materials by E. J. Hearn Book Resume:

Mechanics of Materials, Second Edition, Volume 2 presents discussions and worked examples of the behavior of solid bodies under load. The book covers the components and their respective mechanical behavior. The coverage of the text includes components such cylinders, struts, and diaphragms. The book covers the methods for analyzing experimental stress; torsion of non-circular and thin-walled sections; and strains beyond the elastic limit. Fatigue, creep, and fracture are also discussed. The text will be of great use to undergraduate and practitioners of various engineering braches, such as materials engineering and structural engineering.

An Introduction to the Economic Theory of Market Behavior

An Introduction to the Economic Theory of Market Behavior [Pdf/ePub] eBook ISBN-10: 9781781958575
Author: Donald W. Katzner
Publisher: Edward Elgar Publishing
File Size: 1850 KB
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An Introduction to the Economic Theory of Market Behavior by Donald W. Katzner Book Resume:

'This is an important, rigorous, and thoroughly engaging text on the economic theory of market behavior. It is unique in the attention devoted to the philosophical underpinnings and the historical background of the Walrasian Theory. Professor Katzner challenges his readers to understand the strengths and the limitations of what has gone before, and he provides guidance as to how he would like to see price theory develop in the future. This is among those rare texts that is designed to inspire further research.' - Hugo Sonnenschein, University of Chicago, US

An Introduction to the History of Structural Mechanics

An Introduction to the History of Structural Mechanics [Pdf/ePub] eBook ISBN-10: 1461229944
Author: Edoardo Benvenuto
Publisher: Springer Science & Business Media
File Size: 1118 KB
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An Introduction to the History of Structural Mechanics by Edoardo Benvenuto Book Resume:

This book is one of the finest I have ever read. To write a foreword for· it is an honor, difficult to accept. Everyone knows that architects and master masons, long before there were mathematical theories, erected structures of astonishing originality, strength, and beauty. Many of these still stand. Were it not for our now acid atmosphere, we could expect them to stand for centuries more. We admire early architects' visible success in the distribution and balance of thrusts, and we presume that master masons had rules, perhaps held secret, that enabled them to turn architects' bold designs into reality. Everyone knows that rational theories of strength and elasticity, created centuries later, were influenced by the wondrous buildings that men of the sixteenth, seventeenth, and eighteenth centuries saw daily. Theorists know that when, at last, theories began to appear, architects distrusted them, partly because they often disregarded details of importance in actual construction, partly because nobody but a mathematician could understand the aim and func tion of a mathematical theory designed to represent an aspect of nature. This book is the first to show how statics, strength of materials, and elasticity grew alongside existing architecture with its millenial traditions, its host of successes, its ever-renewing styles, and its numerous problems of maintenance and repair. In connection with studies toward repair of the dome of St. Peter's by Poleni in 1743, on p.

Finite Elasticity Theory

Finite Elasticity Theory [Pdf/ePub] eBook ISBN-10: 0192528076
Author: David J. Steigmann
Publisher: Oxford University Press
File Size: 1912 KB
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Finite Elasticity Theory by David J. Steigmann Book Resume:

Containing case studies and examples, the book aims to cover extensive research particularly on surface stress and topics related to the variational approach to the subject, and non-standard topics such as the rigorous treatment of constraints and a full discussion of algebraic inequalities associated with realistic material behaviour, and their implications. Serving as an introduction to the basic elements of Finite Elasticity, this textbook is the cornerstone for any graduate-level on the topic, while also providing a template for a host of theories in Solid Mechanics.

Theory of Elasticity for Scientists and Engineers

Theory of Elasticity for Scientists and Engineers [Pdf/ePub] eBook ISBN-10: 1461213304
Author: Teodor M. Atanackovic,Ardeshir Guran
Publisher: Springer Science & Business Media
File Size: 1564 KB
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Theory of Elasticity for Scientists and Engineers by Teodor M. Atanackovic,Ardeshir Guran Book Resume:

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.

THEORY OF ELASTICITY AND PLASTICITY

THEORY OF ELASTICITY AND PLASTICITY [Pdf/ePub] eBook ISBN-10: 8120352831
Author: H. JANE HELENA
Publisher: PHI Learning Pvt. Ltd.
File Size: 726 KB
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THEORY OF ELASTICITY AND PLASTICITY by H. JANE HELENA Book Resume:

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.

An Introduction to Continuum Mechanics

An Introduction to Continuum Mechanics [Pdf/ePub] eBook ISBN-10: 1139466402
Author: J. N. Reddy
Publisher: Cambridge University Press
File Size: 1237 KB
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An Introduction to Continuum Mechanics by J. N. Reddy Book Resume:

This textbook on continuum mechanics reflects the modern view that scientists and engineers should be trained to think and work in multidisciplinary environments. A course on continuum mechanics introduces the basic principles of mechanics and prepares students for advanced courses in traditional and emerging fields such as biomechanics and nanomechanics. This text introduces the main concepts of continuum mechanics simply with rich supporting examples but does not compromise mathematically in providing the invariant form as well as component form of the basic equations and their applications to problems in elasticity, fluid mechanics, and heat transfer. The book is ideal for advanced undergraduate and beginning graduate students. The book features: derivations of the basic equations of mechanics in invariant (vector and tensor) form and specializations of the governing equations to various coordinate systems; numerous illustrative examples; chapter-end summaries; and exercise problems to test and extend the understanding of concepts presented.

Mathematical Theory of Elastic and Elasto-Plastic Bodies

Mathematical Theory of Elastic and Elasto-Plastic Bodies [Pdf/ePub] eBook ISBN-10: 148329191X
Author: J. Necas,I. Hlavácek
Publisher: Elsevier
File Size: 883 KB
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Read Count: 8588192

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Mathematical Theory of Elastic and Elasto-Plastic Bodies by J. Necas,I. Hlavácek Book Resume:

The book acquaints the reader with the basic concepts and relations of elasticity and plasticity, and also with the contemporary state of the theory, covering such aspects as the nonlinear models of elasto-plastic bodies and of large deflections of plates, unilateral boundary value problems, variational principles, the finite element method, and so on.

THEORY OF ELASTICITY AND FRACTURE MECHANICS

THEORY OF ELASTICITY AND FRACTURE MECHANICS [Pdf/ePub] eBook ISBN-10: 812035141X
Author: UKADGAONKER, VIJAY G.
Publisher: PHI Learning Pvt. Ltd.
File Size: 1301 KB
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THEORY OF ELASTICITY AND FRACTURE MECHANICS by UKADGAONKER, VIJAY G. Book Resume:

Primarily intended for the postgraduate students of mechanical, civil and other engineering branches, this book covers both theory of elasticity and fracture mechanics in a single volume. It provides the essential fundamental knowledge of the subject matter with solutions that are required in engineering practice and design. Besides, it also teaches students to apply the methods of theory of elasticity in technical calculations on the basis of illustrative examples. The book includes the latest researches done by the author at Indian Institute of Technology Bombay. It covers problems in two-dimensional elasticity, complex variable approach to two-dimensional elasticity, anisotropic elasticity and interaction effect of problems with two holes using Swartz alternating method. The number of problems given as exercise at the end of the chapter will help the students to reinforce the understanding of the subject. Key features • Discusses the subject in an easy to understand manner • Highlights the new theory (Ip Theory) for fracture initiation • Covers stress analysis of fracture and macroscopic theories of fracture • Contains the methods to formulate and solve problems of solid mechanics using Finite Element Method

Analysis of Aircraft Structures

Analysis of Aircraft Structures [Pdf/ePub] eBook ISBN-10: 1107394171
Author: Bruce K. Donaldson
Publisher: Cambridge University Press
File Size: 1175 KB
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Analysis of Aircraft Structures by Bruce K. Donaldson Book Resume:

As with the first edition, this textbook provides a clear introduction to the fundamental theory of structural analysis as applied to vehicular structures such as aircraft, spacecraft, automobiles and ships. The emphasis is on the application of fundamental concepts of structural analysis that are employed in everyday engineering practice. All approximations are accompanied by a full explanation of their validity. In this new edition, more topics, figures, examples and exercises have been added. There is also a greater emphasis on the finite element method of analysis. Clarity remains the hallmark of this text and it employs three strategies to achieve clarity of presentation: essential introductory topics are covered, all approximations are fully explained and many important concepts are repeated.

The Linearized Theory of Elasticity

The Linearized Theory of Elasticity [Pdf/ePub] eBook ISBN-10: 1461200938
Author: William S. Slaughter
Publisher: Springer Science & Business Media
File Size: 1142 KB
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The Linearized Theory of Elasticity by William S. Slaughter Book Resume:

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.

An Introduction to Differential Geometry with Applications to Elasticity

An Introduction to Differential Geometry with Applications to Elasticity [Pdf/ePub] eBook ISBN-10: 1402042485
Author: Philippe G. Ciarlet
Publisher: Springer Science & Business Media
File Size: 1744 KB
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An Introduction to Differential Geometry with Applications to Elasticity by Philippe G. Ciarlet Book Resume:

curvilinear coordinates. This treatment includes in particular a direct proof of the three-dimensional Korn inequality in curvilinear coordinates. The fourth and last chapter, which heavily relies on Chapter 2, begins by a detailed description of the nonlinear and linear equations proposed by W.T. Koiter for modeling thin elastic shells. These equations are “two-dimensional”, in the sense that they are expressed in terms of two curvilinear coordinates used for de?ning the middle surface of the shell. The existence, uniqueness, and regularity of solutions to the linear Koiter equations is then established, thanks this time to a fundamental “Korn inequality on a surface” and to an “in?nit- imal rigid displacement lemma on a surface”. This chapter also includes a brief introduction to other two-dimensional shell equations. Interestingly, notions that pertain to di?erential geometry per se,suchas covariant derivatives of tensor ?elds, are also introduced in Chapters 3 and 4, where they appear most naturally in the derivation of the basic boundary value problems of three-dimensional elasticity and shell theory. Occasionally, portions of the material covered here are adapted from - cerpts from my book “Mathematical Elasticity, Volume III: Theory of Shells”, published in 2000by North-Holland, Amsterdam; in this respect, I am indebted to Arjen Sevenster for his kind permission to rely on such excerpts. Oth- wise, the bulk of this work was substantially supported by two grants from the Research Grants Council of Hong Kong Special Administrative Region, China [Project No. 9040869, CityU 100803 and Project No. 9040966, CityU 100604].