The Linearized Theory Of Elasticity

Author : William S. Slaughter
Publisher : Springer Science & Business Media
ISBN 13 : 1461200938
Total Pages : 557 pages
Book Rating : 4.32/5 ( download)

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Download or read book The Linearized Theory of Elasticity written by William S. Slaughter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : William S. Slaughter
Publisher : Springer Science & Business Media
ISBN 13 : 9780817641177
Total Pages : 588 pages
Book Rating : 4.73/5 ( download)

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Download or read book The Linearized Theory of Elasticity written by William S. Slaughter and published by Springer Science & Business Media. This book was released on 2002 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : William S. Slaughter
Publisher : Springer Science & Business Media
ISBN 13 :
Total Pages : 584 pages
Book Rating : 4.95/5 ( download)

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Download or read book The Linearized Theory of Elasticity written by William S. Slaughter and published by Springer Science & Business Media. This book was released on 2002 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Phillip L. Gould
Publisher : Springer
ISBN 13 : 0387941002
Total Pages : 256 pages
Book Rating : 4.04/5 ( download)

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Download or read book Introduction to Linear Elasticity written by Phillip L. Gould and published by Springer. This book was released on 1993-12-09 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Martin H. Sadd
Publisher : Elsevier
ISBN 13 : 9780080477473
Total Pages : 480 pages
Book Rating : 4.7X/5 ( download)

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Download or read book Elasticity written by Martin H. Sadd and published by Elsevier. This book was released on 2010-08-04 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Kang Feng
Publisher : Springer Science & Business Media
ISBN 13 : 3662032864
Total Pages : 407 pages
Book Rating : 4.62/5 ( download)

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Download or read book Mathematical Theory of Elastic Structures written by Kang Feng and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : A.I. Lurie
Publisher : Springer Science & Business Media
ISBN 13 : 3540264558
Total Pages : 1036 pages
Book Rating : 4.52/5 ( download)

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Download or read book Theory of Elasticity written by A.I. Lurie and published by Springer Science & Business Media. This book was released on 2010-05-30 with total page 1036 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Martin Kružík
Publisher : Springer
ISBN 13 : 3030020657
Total Pages : 617 pages
Book Rating : 4.51/5 ( download)

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Download or read book Mathematical Methods in Continuum Mechanics of Solids written by Martin Kružík and published by Springer. This book was released on 2019-03-02 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.

Author : Clifford Truesdell
Publisher : Springer
ISBN 13 : 3662397765
Total Pages : 755 pages
Book Rating : 4.63/5 ( download)

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Download or read book Linear Theories of Elasticity and Thermoelasticity written by Clifford Truesdell and published by Springer. This book was released on 2013-12-17 with total page 755 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Philippe G. Ciarlet
Publisher : SIAM
ISBN 13 : 1611976820
Total Pages : 686 pages
Book Rating : 4.23/5 ( download)

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Download or read book Mathematical Elasticity written by Philippe G. Ciarlet and published by SIAM. This book was released on 2022-01-22 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of Theory of Shells, the third book of a three-volume set, is to show how asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear shell theories: membrane, generalized membrane, and flexural. The book also shows how asymptotic methods justify nonlinear elastic shell theories and gives a detailed presentation of the Koiter equations for a nonlinearly elastic shell. An extended preface and extensive bibliography have been added to highlight the progress that has been made since the volume’s original publication. While each one of the three volumes is self-contained, together the Mathematical Elasticity set provides the only modern treatise on elasticity; introduces contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells; and contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study These classic textbooks are for advanced undergraduates, first-year graduate students, and researchers in pure or applied mathematics or continuum mechanics. They are appropriate for courses in mathematical elasticity, theory of plates and shells, continuum mechanics, computational mechanics, and applied mathematics in general.