The Linearized Theory of Elasticity 2002nd Edition by William S. Slaughter (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review “There is a good balance between theory and practical applications…[the] approach acknowledges the basic concepts of continuum mechanics without burdening the presentation with excessive generalities. The assumptions required to obtain linear results from nonlinear results are clearly described. This enables students to clearly understand the limitations of linear results…the book includes a good range of discussion and examples…to motivate and complement the theory…[it] is written in a clear style…[and] can be recommended as a good example of a modern textbook in this field.” ―Applied Mechanics Review”This very accessible book will be of interest in teaching or learning linear elasticity.” ―Zentralblatt Math”The book presents classical parts of the linearized theory of elasticity in a selfcontained way that seems to be a fine compromise between the necessity of a deep mathematical insight and the accessibility of exposition. The author points out that the book is intended as a text for a first-year graduate course in mechanical or civil engineering. …Many figures and solved examples contribute to the clarity of exposition. Moreover, each chapter finishes with a subsection of unresolved problems, hints being often given. The material in the book is well organized, presented in a lucid way, and can reach a fairly broad audience spanning from advanced undergraduate students to graduate students. Professionals and researchers may enjoy this book for its clarity and instructive examples, as well as a refreshing reminder of the classical results of the linearized theory of elasticity.” ―Applications of Mathematics”This book is a modern treatment of the linearized theory of elasticity, presented as a specialization of the general theory of continuum mechanics. It is derived from notes used by the author in teaching a first-year graduate-level course in elasticity…. Presented [are] various results connected to functions of a complex variable, strain, plane strain/stress, etc.… Each chapter ends with a useful list of problems.The book is clearly written, with rigorous presentation, in a pleasant and accessible style. This new text is an excellent resource devoted to introduce the students in mechanical or civil engineering to the linearized theory of elasticity. It is warmly recommended to all researchers in the field.” ―Revue D’Analyse Numérique et de Théorie de L’Approximation

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is by far the best book on Elasticity that I’ve seen. The author completely develops the fundamentals in continuum mechanics, then linearizes the equations to obtain the Elasticity simplification (most other texts I’ve seen don’t do this!). It is a very clear presentation which is surprisingly easy to follow on your own. A few of the symbols are a bit confusing at first, but otherwise the text itself is well written.

⭐I am a civil engineering graduate student who took theory of elasticity this semester. I had attempted to learn the subject from a variety of other references, but became frustrated by the incomplete treatment given in most other texts. Slaughter’s book develops all topics (including tensor calculus) as needed and explains the solutions to a wide variety of the most common problems in a clear and easy to follow manner. Topics include airy stress functions, Saint Venant warping functions, kinematics, constitutive laws, and the governing equations in two and three dimensions. This book is an absolute MUST for anyone attempting to learn the linearized theory of elasticity!!!

⭐A pretty good introduction to the application of tensor analysis in solid mechanics. I liked the first 5 chapters particularly, which deal with tensor analysis and general continuum mechanics. The book has some mathematical rigor as well (though not much).

⭐The author provides the reader with many helpful and detailed derivations of the equations essential to elasticity theory. I was particularly taken with his development of the compatibility conditions for strain, displacement and rotation (pp.145-158). The author also derives the differential operators for cylindrical and spherical coordinates. An amusing error, however, is the author’s constant misspelling of the dislocation Burgers’ vector as “Bergers” (pp.354-360)!

⭐This is a great text book for studies of Elasticity. It goes into very detail of each theorem and equation. To illustrate the theories, it also gives well developed examples.I treat it as a bible of Elasticity.

Keywords

Free Download The Linearized Theory of Elasticity 2002nd Edition in PDF format
The Linearized Theory of Elasticity 2002nd Edition PDF Free Download
Download The Linearized Theory of Elasticity 2002nd Edition 2002 PDF Free
The Linearized Theory of Elasticity 2002nd Edition 2002 PDF Free Download
Download The Linearized Theory of Elasticity 2002nd Edition PDF
Free Download Ebook The Linearized Theory of Elasticity 2002nd Edition