Continuum Mechanics

Continuum Mechanics PDF

Author: C. S. Jog

Publisher: Cambridge University Press

Published: 2015-06-25

Total Pages: 877

ISBN-13: 1107091357

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"Presents several advanced topics including fourth-order tensors, differentiation of tensors, exponential and logarithmic tensors, and their application to nonlinear elasticity"--

Continuum Mechanics

Continuum Mechanics PDF

Author: A. J. M. Spencer

Publisher: Courier Corporation

Published: 2012-06-08

Total Pages: 194

ISBN-13: 0486139476

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Undergraduate text offers an analysis of deformation and stress, covers laws of conservation of mass, momentum, and energy, and surveys the formulation of mechanical constitutive equations. 1992 edition.

Continuum Mechanics

Continuum Mechanics PDF

Author: P. Chadwick

Publisher: Courier Corporation

Published: 2012-08-08

Total Pages: 191

ISBN-13: 048613914X

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DIVComprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. /div

Foundations and Applications of Mechanics: Fluid mechanics

Foundations and Applications of Mechanics: Fluid mechanics PDF

Author: C. S. Jog

Publisher: CRC Press

Published: 2002

Total Pages: 454

ISBN-13: 9780849324130

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Foundations and Applications of Mechanics: Volume II, Fluid Mechanics shows how suitable approximations such as ideal fluid flow model, boundary layer methods, and the acoustic approximation, can help solve problems of practical importance. The author proceeds from the general to the particular, making it clear at each stage what assumptions have been made to obtain a particular approximation. In his discussion of compressible fluids, Jog steers away from using gas tables and emphasizes obtaining solutions by numerical techniques - an approach more amenable to computer solutions. He discusses the control volume and the differential equation forms of governing equations in detail and uses examples to demonstrate the advantages and shortcomings of each approach.

A First Course in Continuum Mechanics

A First Course in Continuum Mechanics PDF

Author: Oscar Gonzalez

Publisher: Cambridge University Press

Published: 2008-01-17

Total Pages: 5

ISBN-13: 0521886805

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The modeling and simulation of fluids, solids and other materials with significant coupling and thermal effects is becoming an increasingly important area of study in applied mathematics and engineering. Necessary for such studies is a fundamental understanding of the basic principles of continuum mechanics and thermodynamics. This book is a clear introduction to these principles. It is designed for a one- or two-quarter course for advanced undergraduate and beginning graduate students in the mathematical and engineering sciences, and is based on over nine years of teaching experience. It is also sufficiently self-contained for use outside a classroom environment. Prerequisites include a basic knowledge of linear algebra, multivariable calculus, differential equations and physics. The authors begin by explaining tensor algebra and calculus in three-dimensional Euclidean space. Using both index and coordinate-free notation, they introduce the basic axioms of continuum mechanics pertaining to mass, force, motion, temperature, energy and entropy, and the concepts of frame-indifference and material constraints. They devote four chapters to different theories of fluids and solids, and, unusually at this level, they consider both isothermal and thermal theories in detail. The book contains a wealth of exercises that support the theory and illustrate various applications. Full solutions to odd-numbered exercises are given at the end of each chapter and a complete solutions manual for all exercises is available to instructors upon request. Each chapter also contains a bibliography with references covering different presentations, further applications and numerical aspects of the theory. Book jacket.

Continuum Mechanics

Continuum Mechanics PDF

Author: Fridtjov Irgens

Publisher: Springer Science & Business Media

Published: 2008-01-10

Total Pages: 667

ISBN-13: 3540742980

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This book presents an introduction into the entire science of Continuum Mechanics in three parts. The presentation is modern and comprehensive. Its introduction into tensors is very gentle. The book contains many examples and exercises, and is intended for scientists, practitioners and students of mechanics.

Continuum Mechanics

Continuum Mechanics PDF

Author: Antonio Romano

Publisher: Springer Science & Business Media

Published: 2010-07-23

Total Pages: 353

ISBN-13: 0817648704

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This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields.

Fundamentals of Continuum Mechanics

Fundamentals of Continuum Mechanics PDF

Author: John W. Rudnicki

Publisher: John Wiley & Sons

Published: 2014-09-22

Total Pages: 229

ISBN-13: 1118927672

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A concise introductory course text on continuum mechanics Fundamentals of Continuum Mechanics focuses on the fundamentals of the subject and provides the background for formulation of numerical methods for large deformations and a wide range of material behaviours. It aims to provide the foundations for further study, not just of these subjects, but also the formulations for much more complex material behaviour and their implementation computationally. This book is divided into 5 parts, covering mathematical preliminaries, stress, motion and deformation, balance of mass, momentum and energy, and ideal constitutive relations and is a suitable textbook for introductory graduate courses for students in mechanical and civil engineering, as well as those studying material science, geology and geophysics and biomechanics. A concise introductory course text on continuum mechanics Covers the fundamentals of continuum mechanics Uses modern tensor notation Contains problems and accompanied by a companion website hosting solutions Suitable as a textbook for introductory graduate courses for students in mechanical and civil engineering

Continuum Mechanics

Continuum Mechanics PDF

Author: D. S. Chandrasekharaiah

Publisher: Elsevier

Published: 2014-05-19

Total Pages: 610

ISBN-13: 1483294684

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A detailed and self-contained text written for beginners, Continuum Mechanics offers concise coverage of the basic concepts, general principles, and applications of continuum mechanics. Without sacrificing rigor, the clear and simple mathematical derivations are made accessible to a large number of students with little or no previous background in solid or fluid mechanics. With the inclusion of more than 250 fully worked-out examples and 500 worked exercises, this book is certain to become a standard introductory text for students as well as an indispensable reference for professionals. Provides a clear and self-contained treatment of vectors, matrices, and tensors specifically tailored to the needs of continuum mechanics Develops the concepts and principles common to all areas in solid and fluid mechanics with a common notation and terminology Covers the fundamentals of elasticity theory and fluid mechanics