A First Course In Rational Continuum Mechanics

Author : C. Truesdell
Publisher : Elsevier
Page : 304 pages
File Size : 42,6 Mb
Release : 2016-06-03
Category : Technology & Engineering
ISBN : 9781483220482

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A First Course in Rational Continuum Mechanics by C. Truesdell Pdf

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 : Unknown
Page : 280 pages
File Size : 49,9 Mb
Release : 1977
Category : Continuum mechanics
ISBN : 0127013016

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A First Course in Rational Continuum Mechanics by Clifford Truesdell Pdf

Author : Anonim
Publisher : Academic Press
Page : 388 pages
File Size : 41,9 Mb
Release : 1992-02-03
Category : Mathematics
ISBN : 0080873871

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A First Course in Rational Continuum Mechanics by Anonim Pdf

A First Course in Rational Continuum Mechanics V1

Author : Clifford Truesdell
Publisher : Unknown
Page : 128 pages
File Size : 45,6 Mb
Release : 1991
Category : Continuum mechanics
ISBN : LCCN:89017628

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A First Course in Rational Continuum Mechanics by Clifford Truesdell Pdf

Author : Anonim
Publisher : Unknown
Page : 280 pages
File Size : 45,8 Mb
Release : 1976
Category : Continuum mechanics
ISBN : OCLC:49912347

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A First Course in Rational Continuum Mechanics. V. 1 by Anonim Pdf

Author : Yuan-cheng Fung
Publisher : Prentice Hall
Page : 356 pages
File Size : 53,5 Mb
Release : 1977
Category : Continuum mechanics
ISBN : UCSD:31822016445496

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A First Course in Continuum Mechanics by Yuan-cheng Fung Pdf

Author : Oscar Gonzalez,Andrew M. Stuart
Publisher : Cambridge University Press
Page : 5 pages
File Size : 54,5 Mb
Release : 2008-01-17
Category : Science
ISBN : 9780521886802

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A First Course in Continuum Mechanics by Oscar Gonzalez,Andrew M. Stuart Pdf

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 : Clifford Truesdell
Publisher : Unknown
Page : 312 pages
File Size : 44,6 Mb
Release : 1977
Category : Science
ISBN : UCAL:B4406275

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A First Course in Rational Continuum Mechanics: General concepts by Clifford Truesdell Pdf

Author : Yuan-cheng Fung
Publisher : Pearson
Page : 344 pages
File Size : 40,8 Mb
Release : 1994
Category : Science
ISBN : UOM:39015041099089

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A First Course in Continuum Mechanics by Yuan-cheng Fung Pdf

Revision of a classic text by a distinguished author. Emphasis is on problem formulation and derivation of governing equations. New edition features increased emphasis on applications. New chapter covers long-term changes in materials under stress.

Author : Nikolai Nikolaevich Polyakhov,Mikhail Petrovich Yushkov,Sergey Andreevich Zegzhda
Publisher : Springer Nature
Page : 526 pages
File Size : 53,6 Mb
Release : 2021-08-30
Category : Technology & Engineering
ISBN : 9783030640613

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Rational and Applied Mechanics by Nikolai Nikolaevich Polyakhov,Mikhail Petrovich Yushkov,Sergey Andreevich Zegzhda Pdf

Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University. The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). This first volume of the textbook contains the parts “Kinematics” and “Dynamics”. The part “Kinematics” presents in detail the theory of curvilinear coordinates which is actively used in the part “Dynamics”, in particular, in the theory of constrained motion and variational principles in mechanics. For describing the motion of a system of particles, the notion of a Hertz representative point is used, and the notion of a tangent space is applied to investigate the motion of arbitrary mechanical systems. In the final chapters Hamilton-Jacobi theory is applied​ for the integration of equations of motion, and the elements of special relativity theory are presented. This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.

Author : Oscar Gonzalez
Publisher : Unknown
Page : 394 pages
File Size : 50,5 Mb
Release : 2008
Category : Continuum mechanics
ISBN : 1107186919

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A First Course in Continuum Mechanics by Oscar Gonzalez Pdf

"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 : Oscar Gonzalez
Publisher : Unknown
Page : 394 pages
File Size : 40,5 Mb
Release : 2008
Category : Continuum mechanics
ISBN : 0511574398

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A First Course in Continuum Mechanics by Oscar Gonzalez Pdf

"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 : Chi-Sing Man,Roger L. Fosdick
Publisher : Springer Science & Business Media
Page : 828 pages
File Size : 49,8 Mb
Release : 2006-01-19
Category : Science
ISBN : 9781402023088

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The Rational Spirit in Modern Continuum Mechanics by Chi-Sing Man,Roger L. Fosdick Pdf

Through his voluminous and in?uential writings, editorial activities, organi- tional leadership, intellectual acumen, and strong sense of history, Clifford - brose Truesdell III (1919–2000) was the main architect for the renaissance of - tional continuum mechanics since the middle of the twentieth century. The present collection of 42 essays and research papers pays tribute to this man of mathematics, science, and natural philosophy as well as to his legacy. The ?rst ?ve essays by B. D. Coleman, E. Giusti, W. Noll, J. Serrin, and D. Speiser were texts of addresses given by their authors at the Meeting in memory of Clifford Truesdell, which was held in Pisa in November 2000. In these essays the reader will ?nd personal reminiscences of Clifford Truesdell the man and of some of his activities as scientist, author, editor, historian of exact sciences, and principal founding member of the Society for Natural Philosophy. The bulk of the collection comprises 37 research papers which bear witness to the Truesdellian legacy. These papers cover a wide range of topics; what ties them together is the rational spirit. Clifford Truesdell, in his address upon receipt of a Birkhoff Prize in 1978, put the essence of modern continuum mechanics succinctly as “conceptual analysis, analysis not in the sense of the technical term but in the root meaning: logical criticism, dissection, and creative scrutiny.

Author : Antonio Romano,Addolorata Marasco
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 50,7 Mb
Release : 2010-07-23
Category : Science
ISBN : 9780817648701

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Continuum Mechanics by Antonio Romano,Addolorata Marasco Pdf

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.

Author : Zdeněk Martinec
Publisher : Springer
Page : 247 pages
File Size : 43,5 Mb
Release : 2019-05-31
Category : Mathematics
ISBN : 9783030053901

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Principles of Continuum Mechanics by Zdeněk Martinec Pdf

This book addresses the basic concepts of continuum mechanics, that is, the classical field theory of deformable bodies. The theory is systematically developed, from the kinematics to the balance equations, the material theory, and the entropy principles. In turn, the linear-elastic solids, the ideal liquid and the Newtonian liquid are presented in detail as concrete applications. The book concludes by covering the theory of small motions in a medium with a finite prestress. In general, the emphasis is on presenting the content in a clear and straightforward way that requires only an elementary grasp of calculus, linear algebra, and Newtonian mechanics. The book is intended for students of physics, mechanics, engineering and the geosciences, as well as applied mathematics, with a year or more of college calculus behind them.