The Linearized Theory Of Elasticity
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| Author | : William S. Slaughter |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 557 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1461200938 |
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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 |
| Total Pages | : 588 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 9780817641177 |
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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 |
| Total Pages | : 584 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : |
Download The Linearized Theory of Elasticity Book in PDF, Epub and Kindle
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 |
| Total Pages | : 256 |
| Release | : 1993-12-09 |
| Genre | : Technology & Engineering |
| ISBN | : 0387941002 |
Download Introduction to Linear Elasticity Book in PDF, Epub and Kindle
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 |
| Total Pages | : 474 |
| Release | : 2010-08-04 |
| Genre | : Technology & Engineering |
| ISBN | : 008047747X |
Download Elasticity Book in PDF, Epub and Kindle
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 | : Larry A Taber |
| Publisher | : World Scientific |
| Total Pages | : 417 |
| Release | : 2004-02-19 |
| Genre | : Science |
| ISBN | : 9814483397 |
Download Nonlinear Theory Of Elasticity: Applications In Biomechanics Book in PDF, Epub and Kindle
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 | : A.I. Lurie |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 1036 |
| Release | : 2010-05-30 |
| Genre | : Technology & Engineering |
| ISBN | : 3540264558 |
Download Theory of Elasticity Book in PDF, Epub and Kindle
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 |
| Total Pages | : 617 |
| Release | : 2019-03-02 |
| Genre | : Science |
| ISBN | : 3030020657 |
Download Mathematical Methods in Continuum Mechanics of Solids Book in PDF, Epub and Kindle
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 | : Phillip L. Gould |
| Publisher | : Springer |
| Total Pages | : 395 |
| Release | : 2018-07-23 |
| Genre | : Science |
| ISBN | : 3319738852 |
Download Introduction to Linear Elasticity Book in PDF, Epub and Kindle
This augmented and updated fourth edition introduces a new complement of computational tools and examples for each chapter and continues to provide a grounding in the tensor-based theory of elasticity for students in mechanical, civil, aeronautical and biomedical engineering and materials and earth science. Professor Gould’s proven approach allows faculty to introduce this subject early on in an educational program, where students are able to understand and apply the basic notions of mechanics to stress analysis and move on to advanced work in continuum mechanics, plasticity, plate and shell theory, composite materials and finite element mechanics. With the introductory material on the use of MATLAB, students can apply this modern computational tool to solve classic elasticity problems. The detailed solutions of example problems using both analytical derivations and computational tools helps student to grasp the essence of elasticity and practical skills of applying the basic mechanics theorem.
| Author | : Clifford Truesdell |
| Publisher | : Springer |
| Total Pages | : 755 |
| Release | : 2013-12-17 |
| Genre | : Technology & Engineering |
| ISBN | : 3662397765 |
Download Linear Theories of Elasticity and Thermoelasticity Book in PDF, Epub and Kindle
