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This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton's principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton's principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces.
This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton's principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton's principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces.
This revised and updated second edition is designed for the first course in mechanics of materials in mechanical, civil and aerospace engineering, engineering mechanics, and general engineering curricula. It provides a review of statics, covering the topics needed to begin the study of mechanics of materials including free-body diagrams, equilibrium, trusses, frames, centroids, and distributed loads. It presents the foundations and applications of mechanics of materials with emphasis on visual analysis, using sequences of figures to explain concepts and giving detailed explanations of the proper use of free-body diagrams. The Cauchy tetrahedron argument is included, which allows determination of the normal and shear stresses on an arbitrary plane for a general state of stress. An optional chapter discusses failure and modern fracture theory, including stress intensity factors and crack growth. Thoroughly classroom tested and enhanced by student and instructor feedback, the book adopts a uniform and systematic approach to problem solving through its strategy, solution, and discussion format in examples. Motivating applications from the various engineering fields, as well as end of chapter problems, are presented throughout the book.
This revised and updated edition expands on its explanations of methods used to analyze waves in solid materials, such as the waves created by earthquakes and the ultrasonic waves used to detect flaws in materials and for medical diagnoses. In addition to the traditional methods used to analyze steady-state and transient waves in elastic materials, the book contains introductions to advanced areas that no other single text covers. These topics include the use of finite elements to solve wave problems, the Cagniard-de Hoop method, the four-pole technique for analyzing waves in layered media, and the growth and decay of shock and acceleration waves. The authors explain the theory of linear elasticity through the displacement equations of motion, methods used to analyze steady-state and transient waves in layered media, and include an appendix on functions of a complex variable. Originally developed for a graduate course for which no suitable text existed, the new edition retains its classroom-tested treatment of the theories of linear elasticity and complex variables for students needing background in those subjects.Â
For introductory statics courses found in mechanical engineering, civil engineering, aeronautical engineering, and engineering mechanics departments. This text enables students to learn challenging material through its effective and efficient examples combined with visual explanations. This SI editions has the same content as Bedford's Engineering Mechanics: Statics, 5e.
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