A First Course In Rational Continuum Mechanics

Author : C. Truesdell
Publisher : Elsevier
ISBN 13 : 1483220486
Total Pages : 304 pages
Book Rating : 4.82/5 ( download)

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Download or read book A First Course in Rational Continuum Mechanics written by C. Truesdell and published by Elsevier. This book was released on 2016-06-03 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Clifford Truesdell
Publisher :
ISBN 13 : 9780127013015
Total Pages : 280 pages
Book Rating : 4.16/5 ( download)

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Download or read book A First Course in Rational Continuum Mechanics written by Clifford Truesdell and published by . This book was released on 1977 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Publisher : Academic Press
ISBN 13 : 9780080873879
Total Pages : 388 pages
Book Rating : 4.71/5 ( download)

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Download or read book A First Course in Rational Continuum Mechanics written by and published by Academic Press. This book was released on 1992-02-03 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: A First Course in Rational Continuum Mechanics V1

Author : Clifford Truesdell
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.28/5 ( download)

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Download or read book A First Course in Rational Continuum Mechanics written by Clifford Truesdell and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.47/5 ( download)

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Download or read book A First Course in Rational Continuum Mechanics. V. 1 written by and published by . This book was released on 1976 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Yuan-cheng Fung
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.96/5 ( download)

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Download or read book A First Course in Continuum Mechanics written by Yuan-cheng Fung and published by Prentice Hall. This book was released on 1977 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Oscar Gonzalez
Publisher : Cambridge University Press
ISBN 13 : 0521886805
Total Pages : 5 pages
Book Rating : 4.02/5 ( download)

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Download or read book A First Course in Continuum Mechanics written by Oscar Gonzalez and published by Cambridge University Press. This book was released on 2008-01-17 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : I-Shih Liu
Publisher : Springer Science & Business Media
ISBN 13 : 3662050560
Total Pages : 303 pages
Book Rating : 4.69/5 ( download)

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Download or read book Continuum Mechanics written by I-Shih Liu and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise textbook develops step by step the fundamental principles of continuum mechanics. Emphasis is on mathematical clarity, and an extended appendix provides the required background knowledge in linear algebra and tensor calculus. After introducing the basic notions about general kinematics, balance equations, material objectivity and constitutive functions, the book turns to the presentation of rational thermodynamics by stressing the role of Lagrange multipliers in deriving constitutive funcitions from the underlying entropy principle. A brief lecture on extended thermodynamics closes the book. Many examples and exercises round off the material presendted in the chapters. The book addresses primarily advanced undergraduate students in theoretical physics, applied mathematics and materials sciences.

Author : Oscar Gonzalez
Publisher :
ISBN 13 : 9781107186910
Total Pages : 394 pages
Book Rating : 4.19/5 ( download)

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Download or read book A First Course in Continuum Mechanics written by Oscar Gonzalez and published by . This book was released on 2008 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A concise account of various classic theories of fluids and solids, this book is for courses in continuum mechanics for graduate students and advanced undergraduates. Thoroughly class-tested in courses at Stanford University and the University of Warwick, it is suitable for both applied mathematicians and engineers. The only prerequisites are an introductory undergraduate knowledge of basic linear algebra and differential equations. Unlike most existing works at this level, this book covers both isothermal and thermal theories. The theories are derived in a unified manner from the fundamental balance laws of continuum mechanics. Intended both for classroom use and for self-study, each chapter contains a wealth of exercises, with fully worked solutions to odd-numbered questions. A complete solutions manual is available to instructors upon request. Short bibliographies appear at the end of each chapter, pointing to material which underpins or expands upon the material discussed"--Provided by publisher

Author : Clifford Truesdell
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.75/5 ( download)

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Download or read book A First Course in Rational Continuum Mechanics: General concepts written by Clifford Truesdell and published by . This book was released on 1977 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: