Modern Continuum Thermodynamics

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Publisher :
ISBN 13 :
Total Pages : 90 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Modern Continuum Thermodynamics by : Morton E. Gurtin

Download or read book Modern Continuum Thermodynamics written by Morton E. Gurtin and published by . This book was released on 1972 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Continuum Thermodynamics

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ISBN 13 : 9783030111588
Total Pages : 76 pages
Book Rating : 4.1/5 (115 download)

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Book Synopsis Continuum Thermodynamics by : Paolo Podio-Guidugli

Download or read book Continuum Thermodynamics written by Paolo Podio-Guidugli and published by . This book was released on 2019 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with an important topic in rational continuum physics, thermodynamics.Although slim, it is fairly well self-contained; some basic notions in continuum mechanics, which a well-intentioned reader should but may not be familiar with, are collected in a final appendix. Modern continuum thermodynamics is a field theory devised to handle a large class of processes that typically are neither spatially homogeneous nor sequences of equilibrium states. The most basic chapter addresses the continuum theory of heat conduction, in which the constitutive laws furnish a mathematical characterization of the macroscopic manifestations of those fluctuations in position and velocity of the microscopic matter constituents that statistical thermodynamics considers collectively. In addition to a nonstandard exposition of the conceptual steps leading to the classical heat equation, the crucial assumption that energy and entropy inflows should be proportional is discussed and a hyperbolic version of that prototypical parabolic PDE is presented. Thermomechanics comes next, a slightly more complex paradigmatic example of a field theory where microscopic and macroscopic manifestations of motion become intertwined. Finally, a virtual power format for thermomechanics is proposed, whose formulation requires that temperature is regarded formally as the time derivative of thermal displacement. It is shown that this format permits an alternative formulation of the theory of heat conduction, and a physical interpretation of the notion of thermal displacement is given. It is addressed to mathematical modelers - or mathematical modelers to be - of continuous material bodies, be they mathematicians, physicists, or mathematically versed engineers.

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®.

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.

Methods and Tastes in Modern Continuum Mechanics

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Publisher : Springer
ISBN 13 : 9789400718838
Total Pages : 0 pages
Book Rating : 4.7/5 (188 download)

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Book Synopsis Methods and Tastes in Modern Continuum Mechanics by : Roger Fosdick

Download or read book Methods and Tastes in Modern Continuum Mechanics written by Roger Fosdick and published by Springer. This book was released on 2011-09-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the memory of Donald E. Carlson, who enjoyed a long distinguished career as a Professor of Theoretical and Applied Mechanics at the University of Illinois at Urbana-Champaign; he influenced the mechanics community through his teachings, publications and interactions. The book disseminates unique research investigations which give breadth and depth to the field of continuum mechanics and provide a vision for future advancements. The common bond of Don's publications was his sound theoretical developments and fundamental insight. He carefully delineated the principal roles of kinematics, conservation laws (including the second law of thermodynamics) and constitutive assumptions not only in his discussions and writings about fundamentals in mechanics but also in his work on the formulation of initial-boundary value problems that arise in modeling the behavior of elastic and thermoelastic bodies. This book expands this lucid practice by applying these roles to model a plethora of physical phenomena on the foundations and applications of modern continuum mechanics. This is a hardbound spinoff edition previously published in the Journal of Elasticity, volumes 104 and 105, 2011.

Methods and Tastes in Modern Continuum Mechanics

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Publisher : Springer
ISBN 13 : 9789400718845
Total Pages : 0 pages
Book Rating : 4.7/5 (188 download)

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Book Synopsis Methods and Tastes in Modern Continuum Mechanics by : Roger Fosdick

Download or read book Methods and Tastes in Modern Continuum Mechanics written by Roger Fosdick and published by Springer. This book was released on 2011-12-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the memory of Donald E. Carlson, who enjoyed a long distinguished career as a Professor of Theoretical and Applied Mechanics at the University of Illinois at Urbana-Champaign; he influenced the mechanics community through his teachings, publications and interactions. The book disseminates unique research investigations which give breadth and depth to the field of continuum mechanics and provide a vision for future advancements. The common bond of Don's publications was his sound theoretical developments and fundamental insight. He carefully delineated the principal roles of kinematics, conservation laws (including the second law of thermodynamics) and constitutive assumptions not only in his discussions and writings about fundamentals in mechanics but also in his work on the formulation of initial-boundary value problems that arise in modeling the behavior of elastic and thermoelastic bodies. This book expands this lucid practice by applying these roles to model a plethora of physical phenomena on the foundations and applications of modern continuum mechanics. This is a hardbound spinoff edition previously published in the Journal of Elasticity, volumes 104 and 105, 2011.

Modern Developments in the Mechanics of Continua

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Publisher : Elsevier
ISBN 13 : 0323159958
Total Pages : 216 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Modern Developments in the Mechanics of Continua by : Salamon Eskinazi

Download or read book Modern Developments in the Mechanics of Continua written by Salamon Eskinazi and published by Elsevier. This book was released on 2012-12-02 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Developments in the Mechanics of Continua presents the proceedings of the International Conference on Rheology, held in Pinebrook, New York, on August 23–27, 1965. This book promotes the national and international interest in mechanics of continua. Comprised of 16 chapters, this compilation of papers starts with an overview of the fundamental aspects of thermodynamics. This text then examines the divergence between the molecular theory of liquids and continuum mechanics. Other chapters explore the theory of the activation volume of liquids and the potential applications in rheology. This book discusses as well the characteristics of shear wave propagation, which are related to the viscoelastic properties of the supporting medium. The final chapter deals with the study of diffusion of benzoic acid at constant temperature into kaolinite slurries of changing concentrations. This book is a valuable resource for physicists, biophysicists, mathematicians, and engineers interested in the mechanics of continua.

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.

Continuum Thermodynamics - Part Ii: Applications And Examples

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Publisher : World Scientific
ISBN 13 : 9814412392
Total Pages : 484 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Continuum Thermodynamics - Part Ii: Applications And Examples by : Wilmanski Krzysztof

Download or read book Continuum Thermodynamics - Part Ii: Applications And Examples written by Wilmanski Krzysztof and published by World Scientific. This book was released on 2014-11-12 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second part of Continuum Thermodynamics is designed to match almost one-to-one the chapters of Part I. This is done so that the reader studying thermodynamics will have a deepened understanding of the subjects covered in Part I. The aims of the book are in particular: the illustration of basic features of some simple thermodynamical models such as ideal and viscous fluids, non-Newtonian fluids, nonlinear solids, interactions with electromagnetic fields, and diffusive porous materials. A further aim is the illustration of the above subjects by examples and simple solutions of initial and boundary problems as well as simple exercises to develop skills in the construction of interdisciplinary macroscopic models.

The Rational Spirit in Modern Continuum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 1402023081
Total Pages : 828 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Rational Spirit in Modern Continuum Mechanics by : Chi-Sing Man

Download or read book The Rational Spirit in Modern Continuum Mechanics written by Chi-Sing Man and published by Springer Science & Business Media. This book was released on 2006-01-19 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

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

Foundations of Continuum Thermodynamics

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Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (39 download)

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Book Synopsis Foundations of Continuum Thermodynamics by : J. J. Delgado Domingos

Download or read book Foundations of Continuum Thermodynamics written by J. J. Delgado Domingos and published by John Wiley & Sons. This book was released on 1975 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Continuum Thermodynamics

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Publisher :
ISBN 13 : 981446970X
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Continuum Thermodynamics by :

Download or read book Continuum Thermodynamics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Thermodynamics and Rheology

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792342519
Total Pages : 240 pages
Book Rating : 4.3/5 (425 download)

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Book Synopsis Thermodynamics and Rheology by : J. Verhás

Download or read book Thermodynamics and Rheology written by J. Verhás and published by Springer Science & Business Media. This book was released on 1997-03-31 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a general classical field theory, incorporating continuum mechanics, electrodynamics, and thermodynamics. The continuum equations of material behavior are derived from the principles of Onsager's non-equilibrium thermodynamics supplemented with dynamic degrees of freedom. The book contains the basic principles and methods of modern continuum mechanics and of rheology. Non-equilibrium thermodynamics is discussed in detail. Applications include elasticity, thermoelasticity, viscoelasticity, plasticity, rheooptics, etc. The models of rheology are developed within a consistent thermodynamic framework. Viscoelastic and plastic response, Ostwald's curve of generalized Newtonian fluids, creep, elasticity preceding plastic flow, the rules of rheooptics, etc., are discussed, and the empirical Cox-Merz rule is proved. The thermodynamic results are compared to the results of microscopic theories. Several kinds of colloids, polymers, and liquid crystals are studied. The technical level of the book is high. It is designed for engineers, physicists, natural scientists and applied mathematicians.

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