A First Course In Rational Continuum Mechanics General Concepts

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A First Course in Rational Continuum Mechanics

Author : C. Truesdell
Publisher : Elsevier
ISBN 13 : 1483220486
Total Pages : 304 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis A First Course in Rational Continuum Mechanics by : C. Truesdell

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.

A First Course in Rational Continuum Mechanics

Author : Clifford Truesdell
Publisher :
ISBN 13 : 9780127013015
Total Pages : 280 pages
Book Rating : 4.0/5 (13 download)

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Book Synopsis A First Course in Rational Continuum Mechanics by : Clifford Truesdell

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:

A first course in rational continuum mechanics

Author : Clifford Truesdell
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (63 download)

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Book Synopsis A first course in rational continuum mechanics by : Clifford Truesdell

Download or read book A first course in rational continuum mechanics written by Clifford Truesdell and published by . This book was released on 1980 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A First Course in Rational Continuum Mechanics

Author : Clifford Truesdell
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis A First Course in Rational Continuum Mechanics by : Clifford Truesdell

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:

A First Course in Rational Continuum Mechanics. V. 1

Author :
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (499 download)

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Book Synopsis A First Course in Rational Continuum Mechanics. V. 1 by :

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:

A First Course in Rational Continuum Mechanics V1

Author :
Publisher : Academic Press
ISBN 13 : 0080873871
Total Pages : 417 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis A First Course in Rational Continuum Mechanics V1 by :

Download or read book A First Course in Rational Continuum Mechanics V1 written by and published by Academic Press. This book was released on 1992-02-03 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: A First Course in Rational Continuum Mechanics V1

Handbook of Continuum Mechanics

Author : Jean Salencon
Publisher : Springer Science & Business Media
ISBN 13 : 3642565425
Total Pages : 794 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Handbook of Continuum Mechanics by : Jean Salencon

Download or read book Handbook of Continuum Mechanics written by Jean Salencon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outstanding approach to continuum mechanics. Its high mathematical level of teaching together with abstracts, summaries, boxes of essential formulae and numerous exercises with solutions, makes this handbook one of most complete books in the area. Students, lecturers, and practitioners will find this handbook a rich source for their studies or daily work.

A First Course in Continuum Mechanics

Author : Yuan-cheng Fung
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis A First Course in Continuum Mechanics by : Yuan-cheng Fung

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:

A First Course in Rational Continuum Mechanics: General concepts

Author : Clifford Truesdell
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.:/5 (44 download)

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

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:

A First Course in Continuum Mechanics

Author : Oscar Gonzalez
Publisher : Cambridge University Press
ISBN 13 : 0521886805
Total Pages : 5 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis A First Course in Continuum Mechanics by : Oscar Gonzalez

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.

A First Course in Rational Continuum Mechanics

Author : C. Truesdell
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (929 download)

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Book Synopsis A First Course in Rational Continuum Mechanics by : C. Truesdell

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

Principles of Continuum Mechanics

Author : Zdeněk Martinec
Publisher : Springer
ISBN 13 : 3030053903
Total Pages : 247 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Principles of Continuum Mechanics by : Zdeněk Martinec

Download or read book Principles of Continuum Mechanics written by Zdeněk Martinec and published by Springer. This book was released on 2019-05-31 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to the History of Structural Mechanics

Author : Edoardo Benvenuto
Publisher : Springer Science & Business Media
ISBN 13 : 1461229820
Total Pages : 324 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis An Introduction to the History of Structural Mechanics by : Edoardo Benvenuto

Download or read book An Introduction to the History of Structural Mechanics written by Edoardo Benvenuto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is one of the finest I have ever read. To write a foreword for it is an honor, difficult to accept. Everyone knows that architects and master masons, long before there were mathematical theories, erected structures of astonishing originality, strength, and beauty. Many of these still stand. Were it not for our now acid atmosphere, we could expect them to stand for centuries more. We admire early architects' visible success in the distribution and balance of thrusts, and we presume that master masons had rules, perhaps held secret, that enabled them to turn architects' bold designs into reality. Everyone knows that rational theories of strength and elasticity, created centuries later, were influenced by the wondrous buildings that men of the sixteenth, seventeenth, and eighteenth centuries saw daily. Theorists know that when, at last, theories began to appear, architects distrusted them, partly because they often disregarded details of importance in actual construction, partly because nobody but a mathematician could understand the aim and func tion of a mathematical theory designed to represent an aspect of nature. This book is the first to show how statics, strength of materials, and elasticity grew alongside existing architecture with its millenial traditions, its host of successes, its ever-renewing styles, and its numerous problems of maintenance and repair. In connection with studies toward repair of the dome of St. Peter's by Poleni in 1743, on p.

Introduction to Finite Strain Theory for Continuum Elasto-Plasticity

Author : Koichi Hashiguchi
Publisher : John Wiley & Sons
ISBN 13 : 1118437721
Total Pages : 371 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Introduction to Finite Strain Theory for Continuum Elasto-Plasticity by : Koichi Hashiguchi

Download or read book Introduction to Finite Strain Theory for Continuum Elasto-Plasticity written by Koichi Hashiguchi and published by John Wiley & Sons. This book was released on 2012-10-09 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive introduction to finite elastoplasticity, addressing various analytical and numerical analyses & including state-of-the-art theories Introduction to Finite Elastoplasticity presents introductory explanations that can be readily understood by readers with only a basic knowledge of elastoplasticity, showing physical backgrounds of concepts in detail and derivation processes of almost all equations. The authors address various analytical and numerical finite strain analyses, including new theories developed in recent years, and explain fundamentals including the push-forward and pull-back operations and the Lie derivatives of tensors. As a foundation to finite strain theory, the authors begin by addressing the advanced mathematical and physical properties of continuum mechanics. They progress to explain a finite elastoplastic constitutive model, discuss numerical issues on stress computation, implement the numerical algorithms for stress computation into large-deformation finite element analysis and illustrate several numerical examples of boundary-value problems. Programs for the stress computation of finite elastoplastic models explained in this book are included in an appendix, and the code can be downloaded from an accompanying website.

Continuum Micromechanics

Author : Dazhi Jiang
Publisher : Springer Nature
ISBN 13 : 3031233131
Total Pages : 431 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Continuum Micromechanics by : Dazhi Jiang

Download or read book Continuum Micromechanics written by Dazhi Jiang and published by Springer Nature. This book was released on 2023-03-11 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book integrates theory, numerical methods, and practical applications seamlessly. MATLAB and MathCad programs are provided for readers to master the theory, understand the approach, and to further develop and apply the methods to geological problems. Multiscale and multi-physics investigations of Earth and planetary processes have been an active trend of research in Earth Sciences, thanks to the development of scientific computation and computer software and hardware. Based on the author's research and teaching over the past 15 years, the book stands alone as the first comprehensive text in unifying fundamental continuum micromechanics theory, geometric/kinematic analysis, and applications. The book should appeal to a broad audience of students and researchers, particularly those in the fields of structural geology, tectonics, (natural and experimental) rock deformation, mineral physics and rheology, and numerical modeling of multiscale and coupling processes.

An Idiot’s Fugitive Essays on Science

Author : C. Truesdell
Publisher : Springer Science & Business Media
ISBN 13 : 1461381851
Total Pages : 657 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis An Idiot’s Fugitive Essays on Science by : C. Truesdell

Download or read book An Idiot’s Fugitive Essays on Science written by C. Truesdell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: When, after the agreeable fatigues of solicitation, Mrs Millamant set out a long bill of conditions subject to which she might by degrees dwindle into a wife, Mirabell offered in return the condition that he might not thereby be beyond measure enlarged into a husband. With age and experience in research come the twin dangers of dwindling into a philosopher of science while being enlarged into a dotard. The philosophy of science, I believe, should not be the preserve of senile scientists and of teachers of philosophy who have themselves never so much as understood the contents of a textbook of theoretical physics, let alone done a bit of mathematical research or even enjoyed the confidence of a creating scientist. On the latter count I run no risk: Any reader will see that I am untrained (though not altogether unread) in classroom philosophy. Of no ignorance of mine do I boast, indeed I regret it, but neither do I find this one ignorance fatal here, for few indeed of the great philosophers to explicate whose works hodiernal professors of phil osophy destroy forests of pulp were themselves so broadly and specially trained as are their scholiasts. In attempt to palliate the former count I have chosen to collect works written over the past thirty years, some of them not published before, and I include only a few very recent essays.

Elastoplasticity Theory

Author : Koichi Hashiguchi
Publisher : Springer Science & Business Media
ISBN 13 : 3642358497
Total Pages : 466 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Elastoplasticity Theory by : Koichi Hashiguchi

Download or read book Elastoplasticity Theory written by Koichi Hashiguchi and published by Springer Science & Business Media. This book was released on 2013-07-16 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was written to serve as the standard textbook of elastoplasticity for students, engineers and researchers in the field of applied mechanics. The present second edition is improved thoroughly from the first edition by selecting the standard theories from various formulations and models, which are required to study the essentials of elastoplasticity steadily and effectively and will remain universally in the history of elastoplasticity. It opens with an explanation of vector-tensor analysis and continuum mechanics as a foundation to study elastoplasticity theory, extending over various strain and stress tensors and their rates. Subsequently, constitutive equations of elastoplastic and viscoplastic deformations for monotonic, cyclic and non-proportional loading behavior in a general rate and their applications to metals and soils are described in detail, and constitutive equations of friction behavior between solids and its application to the prediction of stick-slip phenomena are delineated. In addition, the return-mapping algorithm, the consistent tangent operators and the objective time-integration algorithm of rate tensor are explained in order to enforce the FEM analyses. All the derivation processes and formulations of equations are described in detail without an abbreviation throughout the book. The distinguishable features and importance of this book is the comprehensive description of fundamental concepts and formulations including the objectivity of tensor and constitutive equations, the objective time-derivative of tensor functions, the associated flow rule, the loading criterion, the continuity and smoothness conditions and their substantial physical interpretations in addition to the wide classes of reversible/irreversible constitutive equations of solids and friction behavior between solids.