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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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