Continuum Mechanics and Thermodynamics

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Publisher : Cambridge University Press
ISBN 13 : 1107008263
Total Pages : 373 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Continuum Mechanics and Thermodynamics by : Ellad B. Tadmor

Download or read book Continuum Mechanics and Thermodynamics written by Ellad B. Tadmor and published by Cambridge University Press. This book was released on 2012 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.

The Mechanics and Thermodynamics of Continua

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Publisher : Cambridge University Press
ISBN 13 : 1139482157
Total Pages : 721 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis The Mechanics and Thermodynamics of Continua by : Morton E. Gurtin

Download or read book The Mechanics and Thermodynamics of Continua written by Morton E. Gurtin and published by Cambridge University Press. This book was released on 2010-04-19 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mechanics and Thermodynamics of Continua presents a unified treatment of continuum mechanics and thermodynamics that emphasises the universal status of the basic balances and the entropy imbalance. These laws are viewed as fundamental building blocks on which to frame theories of material behaviour. As a valuable reference source, this book presents a detailed and complete treatment of continuum mechanics and thermodynamics for graduates and advanced undergraduates in engineering, physics and mathematics. The chapters on plasticity discuss the standard isotropic theories and, in addition, crystal plasticity and gradient plasticity.

Elements of Continuum Mechanics and Thermodynamics

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Publisher : Cambridge University Press
ISBN 13 : 1139478389
Total Pages : 279 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Elements of Continuum Mechanics and Thermodynamics by : Joanne L. Wegner

Download or read book Elements of Continuum Mechanics and Thermodynamics written by Joanne L. Wegner and published by Cambridge University Press. This book was released on 2009-04-13 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is intended to provide a modern and integrated treatment of the foundations and applications of continuum mechanics. There is a significant increase in interest in continuum mechanics because of its relevance to microscale phenomena. In addition to being tailored for advanced undergraduate students and including numerous examples and exercises, this text also features a chapter on continuum thermodynamics, including entropy production in Newtonian viscous fluid flow and thermoelasticity. Computer solutions and examples are emphasized through the use of the symbolic mathematical computing program Mathematica®.

Continuum Thermodynamics and Constitutive Theory

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Publisher : Springer Nature
ISBN 13 : 3030439895
Total Pages : 238 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Continuum Thermodynamics and Constitutive Theory by : Christina Papenfuß

Download or read book Continuum Thermodynamics and Constitutive Theory written by Christina Papenfuß and published by Springer Nature. This book was released on 2020-05-16 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents different thermodynamic approaches in the area of constitutive theory: thermodynamics of irreversible processes, rational thermodynamics, and extended thermodynamics. These different approaches are analyzed with respect to their presuppositions, as well as to their results, and each method is applied to several important examples. In many cases these examples are archetypes for numerous technologically important materials; i.e. complex materials having an internal structure. Some of the examples dealt with in this book are liquid crystals, colloid suspensions, ans fiber suspensions. The book well serves students and researchers who have basic knowledge in continuum mechanics and thermodynamics. It provides a systematic overview of the vast field of thermodynamic constitutive theory, beginning from a historical perspective and concluding with outstanding questions in recent research.

The Mechanics and Thermodynamics of Continuous Media

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Publisher : Springer Science & Business Media
ISBN 13 : 3662033895
Total Pages : 511 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis The Mechanics and Thermodynamics of Continuous Media by : Miroslav Silhavy

Download or read book The Mechanics and Thermodynamics of Continuous Media written by Miroslav Silhavy and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "The book is excellent, and covers a very broad area (usually treated as separate topics) from a unified perspective. [...] It will be very useful for both mathematicians and physicists." EMS Newsletter

The Foundations of Mechanics and Thermodynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642658172
Total Pages : 330 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis The Foundations of Mechanics and Thermodynamics by : W. Noll

Download or read book The Foundations of Mechanics and Thermodynamics written by W. Noll and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: German scholars, against odds now not only forgotten but also hard to imagine, were striving to revivify the life of the mind which the mental and physical barbarity preached and practised by the -isms and -acies of 1933-1946 had all but eradicated. Thinking that among the disciples of these elders, restorers rather than progressives, I might find a student or two who would wish to master new mathematics but grasp it and use it with the wholeness of earlier times, in 1952 I wrote to Mr. HAMEL, one of the few then remaining mathematicians from the classical mould, to ask him to name some young men fit to study for the doc torate in The Graduate Institute for Applied Mathematics at Indiana University, flourishing at that time though soon to be destroyed by the jealous ambition of the local, stereotyped pure. Having just retired from the Technische Universitat in Charlottenburg, he passed my inquiry on to Mr. SZABO, in whose institute there NOLL was then an assistant. Although Mr.

Elements of Continuum Mechanics and Conservation Laws

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Publisher : Springer Science & Business Media
ISBN 13 : 9780306477355
Total Pages : 270 pages
Book Rating : 4.4/5 (773 download)

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Book Synopsis Elements of Continuum Mechanics and Conservation Laws by : S.K. Godunov

Download or read book Elements of Continuum Mechanics and Conservation Laws written by S.K. Godunov and published by Springer Science & Business Media. This book was released on 2003-05-31 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Continuum Mechanics and Conservation Laws presents a systematization of different models in mathematical physics, a study of the structure of conservation laws, thermodynamical identities, and connection with criteria for well-posedness of the corresponding mathematical problems. The theory presented in this book stems from research carried out by the authors concerning the formulations of differential equations describing explosive deformations of metals. In such processes, elasticity equations are used in some zones, whereas hydrodynamics equations are stated in other zones. Plastic deformations appear in transition zones, which leads to residual stresses. The suggested model contains some relaxation terms which simulate these plastic deformations. Certain laws of thermodynamics are used in order to describe and study differential equations simulating the physical processes. This leads to the special formulation of differential equations using generalized thermodynamical potentials.

Encyclopedia of Continuum Mechanics

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Publisher : Springer
ISBN 13 : 9783662557709
Total Pages : 0 pages
Book Rating : 4.5/5 (577 download)

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Book Synopsis Encyclopedia of Continuum Mechanics by : Holm Altenbach

Download or read book Encyclopedia of Continuum Mechanics written by Holm Altenbach and published by Springer. This book was released on 2020-01-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Encyclopedia covers the entire science of continuum mechanics including the mechanics of materials and fluids. The encyclopedia comprises mathematical definitions for continuum mechanical modeling, fundamental physical concepts, mechanical modeling methodology, numerical approaches and many fundamental applications. The modelling and analytical techniques are powerful tools in mechanical civil and areospsace engineering, plus in related fields of plasticity, viscoelasticity and rheology. Tensor-based and reference-frame-independent, continuum mechanics has recently found applications in geophysics and materials.

Variational Principles of Continuum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 354088467X
Total Pages : 590 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Variational Principles of Continuum Mechanics by : Victor Berdichevsky

Download or read book Variational Principles of Continuum Mechanics written by Victor Berdichevsky and published by Springer Science & Business Media. This book was released on 2009-09-18 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thereareabout500booksonvariationalprinciples. Theyareconcernedmostlywith the mathematical aspects of the topic. The major goal of this book is to discuss the physical origin of the variational principles and the intrinsic interrelations between them. For example, the Gibbs principles appear not as the rst principles of the theory of thermodynamic equilibrium but as a consequence of the Einstein formula for thermodynamic uctuations. The mathematical issues are considered as long as they shed light on the physical outcomes and/or provide a useful technique for direct study of variational problems. Thebookisacompletelyrewrittenversionoftheauthor’smonographVariational Principles of Continuum Mechanics which appeared in Russian in 1983. I have been postponing the English translation because I wished to include the variational pr- ciples of irreversible processes in the new edition. Reaching an understanding of this subject took longer than I expected. In its nal form, this book covers all aspects of the story. The part concerned with irreversible processes is tiny, but it determines the accents put on all the results presented. The other new issues included in the book are: entropy of microstructure, variational principles of vortex line dynamics, va- ational principles and integration in functional spaces, some stochastic variational problems, variational principle for probability densities of local elds in composites with random structure, variational theory of turbulence; these topics have not been covered previously in monographic literature.

Fundamentals of Continuum Mechanics

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Publisher : Academic Press
ISBN 13 : 0123948347
Total Pages : 340 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Fundamentals of Continuum Mechanics by : Stephen Bechtel

Download or read book Fundamentals of Continuum Mechanics written by Stephen Bechtel and published by Academic Press. This book was released on 2014-12-02 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Continuum Mechanics provides a clear and rigorous presentation of continuum mechanics for engineers, physicists, applied mathematicians, and materials scientists. This book emphasizes the role of thermodynamics in constitutive modeling, with detailed application to nonlinear elastic solids, viscous fluids, and modern smart materials. While emphasizing advanced material modeling, special attention is also devoted to developing novel theories for incompressible and thermally expanding materials. A wealth of carefully chosen examples and exercises illuminate the subject matter and facilitate self-study. Uses direct notation for a clear and straightforward presentation of the mathematics, leading to a better understanding of the underlying physics Covers high-interest research areas such as small- and large-deformation continuum electrodynamics, with application to smart materials used in intelligent systems and structures Offers a unique approach to modeling incompressibility and thermal expansion, based on the authors’ own research

Continuum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3662050560
Total Pages : 303 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Continuum Mechanics by : I-Shih Liu

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.

Thermomechanics of Continua

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Publisher : Springer Science & Business Media
ISBN 13 : 3642589340
Total Pages : 284 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Thermomechanics of Continua by : Krzysztof Wilmanski

Download or read book Thermomechanics of Continua written by Krzysztof Wilmanski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of continuum thermodynamics, adopted in this book, is primarily understood as a strategy for development of continuous models of various physical systems. The examples of such a strategy presented in the book have both the classical character (e. g. thermoelastic materials, viscous fluids, mixtures) and the extended one (ideal gases, Maxwellian fluids, thermoviscoelastic solids etc. ). The latter has been limited intentionally to non-relativistic models; many important relativistic applications of the true extended thermodynamics will not be considered but can be found in the other sources. The notion of extended thermodynamics is also adopted in a less strict sense than suggested by the founders. For instance, in some cases we allow the constitutive dependence not only on the fields themselves but also on some derivatives. In this way, the new thermodynamical models may have some features of the usual nonequilibrium models and some of those of the extended models. This deviation from the strategy of extended thermodynamics is motivated by practical aspects; frequently the technical considerations of extended thermodynamics are so involved that one can no longer see important physical properties of the systems. This book has a different form from that usually found in books on continuum mechanics and continuum thermodynamics. The presentation of the formal structure of continuum thermodynamics is not always as rigorous as a mathematician might anticipate and the choice of physical subjects is too disperse to make a physicist happy.

Modeling Materials

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Publisher : Cambridge University Press
ISBN 13 : 1139500651
Total Pages : 789 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Modeling Materials by : Ellad B. Tadmor

Download or read book Modeling Materials written by Ellad B. Tadmor and published by Cambridge University Press. This book was released on 2011-11-24 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: Material properties emerge from phenomena on scales ranging from Angstroms to millimeters, and only a multiscale treatment can provide a complete understanding. Materials researchers must therefore understand fundamental concepts and techniques from different fields, and these are presented in a comprehensive and integrated fashion for the first time in this book. Incorporating continuum mechanics, quantum mechanics, statistical mechanics, atomistic simulations and multiscale techniques, the book explains many of the key theoretical ideas behind multiscale modeling. Classical topics are blended with new techniques to demonstrate the connections between different fields and highlight current research trends. Example applications drawn from modern research on the thermo-mechanical properties of crystalline solids are used as a unifying focus throughout the text. Together with its companion book, Continuum Mechanics and Thermodynamics (Cambridge University Press, 2011), this work presents the complete fundamentals of materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.

Mechanics and Thermodynamics

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Publisher : Springer
ISBN 13 : 3319278770
Total Pages : 452 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Mechanics and Thermodynamics by : Wolfgang Demtröder

Download or read book Mechanics and Thermodynamics written by Wolfgang Demtröder and published by Springer. This book was released on 2017-02-06 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to classical mechanics and thermodynamics provides an accessible and clear treatment of the fundamentals. Starting with particle mechanics and an early introduction to special relativity this textbooks enables the reader to understand the basics in mechanics. The text is written from the experimental physics point of view, giving numerous real life examples and applications of classical mechanics in technology. This highly motivating presentation deepens the knowledge in a very accessible way. The second part of the text gives a concise introduction to rotational motion, an expansion to rigid bodies, fluids and gases. Finally, an extensive chapter on thermodynamics and a short introduction to nonlinear dynamics with some instructive examples intensify the knowledge of more advanced topics. Numerous problems with detailed solutions are perfect for self study.

Galilean Mechanics and Thermodynamics of Continua

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Publisher : John Wiley & Sons
ISBN 13 : 1848216424
Total Pages : 446 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis Galilean Mechanics and Thermodynamics of Continua by : Géry de Saxcé

Download or read book Galilean Mechanics and Thermodynamics of Continua written by Géry de Saxcé and published by John Wiley & Sons. This book was released on 2016-02-08 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title proposes a unified approach to continuum mechanics which is consistent with Galilean relativity. Based on the notion of affine tensors, a simple generalization of the classical tensors, this approach allows gathering the usual mechanical entities — mass, energy, force, moment, stresses, linear and angular momentum — in a single tensor. Starting with the basic subjects, and continuing through to the most advanced topics, the authors' presentation is progressive, inductive and bottom-up. They begin with the concept of an affine tensor, a natural extension of the classical tensors. The simplest types of affine tensors are the points of an affine space and the affine functions on this space, but there are more complex ones which are relevant for mechanics − torsors and momenta. The essential point is to derive the balance equations of a continuum from a unique principle which claims that these tensors are affine-divergence free.

Classical Continuum Mechanics

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Publisher : CRC Press
ISBN 13 : 1000512347
Total Pages : 829 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Classical Continuum Mechanics by : Karan S. Surana

Download or read book Classical Continuum Mechanics written by Karan S. Surana and published by CRC Press. This book was released on 2022-01-24 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides physical and mathematical foundation as well as complete derivation of the mathematical descriptions and constitutive theories for deformation of solid and fluent continua, both compressible and incompressible with clear distinction between Lagrangian and Eulerian descriptions as well as co- and contra-variant bases. Definitions of co- and contra-variant tensors and tensor calculus are introduced using curvilinear frame and then specialized for Cartesian frame. Both Galilean and non-Galilean coordinate transformations are presented and used in establishing objective tensors and objective rates. Convected time derivatives are derived using the conventional approach as well as non-Galilean transformation and their significance is illustrated in finite deformation of solid continua as well as in the case of fluent continua. Constitutive theories are derived using entropy inequality and representation theorem. Decomposition of total deformation for solid and fluent continua into volumetric and distortional deformation is essential in providing a sound, general and rigorous framework for deriving constitutive theories. Energy methods and the principle of virtual work are demonstrated to be a small isolated subset of the calculus of variations. Differential form of the mathematical models and calculus of variations preclude energy methods and the principle of virtual work. The material in this book is developed from fundamental concepts at very basic level with gradual progression to advanced topics. This book contains core scientific knowledge associated with mathematical concepts and theories for deforming continuous matter to prepare graduate students for fundamental and basic research in engineering and sciences. The book presents detailed and consistent derivations with clarity and is ideal for self-study.

Continuum Mechanics

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Publisher : Courier Corporation
ISBN 13 : 048613914X
Total Pages : 191 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Continuum Mechanics by : P. Chadwick

Download or read book Continuum Mechanics written by P. Chadwick and published by Courier Corporation. This book was released on 2012-08-08 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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