A First Course In Rational Continuum Mechanics
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A First Course In Rational Continuum Mechanics
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Author : C. Truesdell
language : en
Publisher: Elsevier
Release Date : 2016-06-03
A First Course In Rational Continuum Mechanics written by C. Truesdell and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-03 with Technology & Engineering categories.
A First Course in Rational Continuum Mechanics, Volume 1: General Concepts describes general concepts in rational continuum mechanics and covers topics ranging from bodies and forces to motions and energies, kinematics, and the stress tensor. Constitutive relations are also discussed, and some definitions and theorems of algebra, geometry, and calculus are included. Exercises and their solutions are given as well. Comprised of four chapters, this volume begins with an introduction to rational mechanics by focusing on the mathematical concepts of bodies, forces, motions, and energies. Systems that provide possible universes for mechanics are described. The next chapter explores kinematics, with emphasis on bodies, placements, and motions as well as other relevant concepts like local deformation and homogeneous transplacement. The book also considers the stress tensor and Cauchy's fundamental theorem before concluding with a discussion on constitutive relations. This monograph is designed for students taking a course in mathematics or physics.
A First Course In Rational Continuum Mechanics
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Author : Clifford Truesdell
language : en
Publisher:
Release Date : 1977
A First Course In Rational Continuum Mechanics written by Clifford Truesdell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Continuum mechanics categories.
A First Course In Rational Continuum Mechanics
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Author : Clifford Truesdell
language : en
Publisher:
Release Date : 1991
A First Course In Rational Continuum Mechanics written by Clifford Truesdell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Continuum mechanics categories.
A First Course In Rational Continuum Mechanics V1
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Author :
language : en
Publisher: Academic Press
Release Date : 1992-02-03
A First Course In Rational Continuum Mechanics V1 written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-02-03 with Mathematics categories.
A First Course in Rational Continuum Mechanics V1
A First Course In Rational Continuum Mechanics
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Author : Clifford Truesdell
language : en
Publisher:
Release Date : 1991
A First Course In Rational Continuum Mechanics written by Clifford Truesdell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Continuum mechanics categories.
A First Course In Rational Continuum Mechanics V 1
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Author :
language : en
Publisher:
Release Date : 1976
A First Course In Rational Continuum Mechanics V 1 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Continuum mechanics categories.
A First Course In Continuum Mechanics
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Author : Oscar Gonzalez
language : en
Publisher: Cambridge University Press
Release Date : 2008-01-17
A First Course In Continuum Mechanics written by Oscar Gonzalez and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-17 with Science categories.
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.
A First Course In Rational Continuum Mechanics
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Author : C. Truesdell
language : en
Publisher:
Release Date : 1977
A First Course In Rational Continuum Mechanics written by C. Truesdell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
An Introduction To Continuum Mechanics After Truesdell And Noll
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Author : D.R Smith
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
An Introduction To Continuum Mechanics After Truesdell And Noll written by D.R Smith and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.
This book provides a brief introduction to rational continuum mechanics in a form suitable for students of engineering, mathematics and science. The presentation is tightly focused on the simplest case of the classical mechanics of nonpolar materials, leaving aside the effects of internal structure, temperature and electromagnetism, and excluding other mathematical models, such as statistical mechanics, relativistic mechanics and quantum mechanics. Within the limitations of the simplest mechanical theory, the author had provided a text that is largely self-contained. Though the book is primarily an introduction to continuum mechanics, the lure and attraction inherent in the subject may also recommend the book as a vehicle by which the student can obtain a broader appreciation of certain important methods and results from classical and modern analysis.
Continuum Mechanics
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Author : I-Shih Liu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Continuum Mechanics written by I-Shih Liu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
In this book the basic principles of continuum mechanics and thermodynam ics are treated in the tradition of the rational framework established in the 1960s, typically in the fundamental memoir "The Non-Linear Field Theories of Mechanics" by Truesdell and Noll. The theoretical aspect of constitutive theories for materials in general has been carefully developed in mathemati cal clarity - from general kinematics, balance equations, material objectivity, and isotropic representations to the framework of rational thermodynamics based on the entropy principle. However, I make no claim that the subjects are covered completely, nor does this book cover solutions and examples that can usually be found in textbooks of fluid mechanics and linear elasticity. However, some of the interesting examples of finite deformations in elastic materials, such as biaxial stretching of an elastic membrane and inflation of a rubber balloon, are discussed. In the last two chapters of the book, some recent developments in ther modynamic theories are considered. Specifically, they emphasize the use of Lagrange multipliers, which enables the exploitation of the entropy principle in a systematic manner for constitutive equations, and introduce some basic notions of extended thermodynamics. Although extended thermodynamics is closely related to the kinetic theory of ideal gases, very limited knowledge of kinetic theory is needed.