Galilean Mechanics And Thermodynamics Of Continua PDF Download
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Author | : Géry de Saxcé |
Publisher | : John Wiley & Sons |
Total Pages | : 446 |
Release | : 2016-01-07 |
Genre | : Mathematics |
ISBN | : 1119058031 |
Download Galilean Mechanics and Thermodynamics of Continua Book in PDF, ePub and Kindle
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.
Author | : Krzysztof Wilmanski |
Publisher | : Springer Science & Business Media |
Total Pages | : 284 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642589340 |
Download Thermomechanics of Continua Book in PDF, ePub and Kindle
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.
Author | : Giorgio Ferrarese |
Publisher | : Springer |
Total Pages | : 347 |
Release | : 2007-09-30 |
Genre | : Science |
ISBN | : 3540731687 |
Download Introduction to Relativistic Continuum Mechanics Book in PDF, ePub and Kindle
This mathematically-oriented introduction takes the point of view that students should become familiar, at an early stage, with the physics of relativistic continua and thermodynamics within the framework of special relativity. Therefore, in addition to standard textbook topics such as relativistic kinematics and vacuum electrodynamics, the reader will be thoroughly introduced to relativistic continuum and fluid mechanics. There is emphasis on the 3+1 splitting technique.
Author | : Krzysztof Wilmanski |
Publisher | : World Scientific |
Total Pages | : 416 |
Release | : 2008-11-25 |
Genre | : Science |
ISBN | : 981446970X |
Download Continuum Thermodynamics - Part I: Foundations Book in PDF, ePub and Kindle
This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models — ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others. The structure of phenomenological thermodynamics is justified by a systematic derivation from the Liouville equation, through the BBGKY-hierarchy-derived Boltzmann equation, to an extended thermodynamics. In order to simplify the reading, an extensive introduction to classical continuum mechanics and thermostatics is included. As a complementary volume to Part II, which will contain applications and examples, and to Part III, which will cover numerical methods, only a few simple examples are presented in this first Part. One exception is an extensive example of a linear poroelastic material because it will not appear in future Parts.The book is the first presentation of continuum thermodynamics in which foundations of continuum mechanics, microscopic foundations and transition to extended thermodynamics, applications of extended thermodynamics beyond ideal gases, and thermodynamic foundations of various material theories are exposed in a uniform and rational way. The book may serve both as a support for advanced courses as well as a desk reference.
Author | : Wilmanski |
Publisher | : World Scientific |
Total Pages | : 416 |
Release | : 2008 |
Genre | : Science |
ISBN | : 9812835563 |
Download Continuum Thermodynamics Book in PDF, ePub and Kindle
This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models — ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others. The structure of phenomenological thermodynamics is justified by a systematic derivation from the Liouville equation, through the BBGKY-hierarchy-derived Boltzmann equation, to an extended thermodynamics. In order to simplify the reading, an extensive introduction to classical continuum mechanics and thermostatics is included. As a complementary volume to Part II, which will contain applications and examples, and to Part III, which will cover numerical methods, only a few simple examples are presented in this first Part. One exception is an extensive example of a linear poroelastic material because it will not appear in future Parts.The book is the first presentation of continuum thermodynamics in which foundations of continuum mechanics, microscopic foundations and transition to extended thermodynamics, applications of extended thermodynamics beyond ideal gases, and thermodynamic foundations of various material theories are exposed in a uniform and rational way. The book may serve both as a support for advanced courses as well as a desk reference.
Author | : Krzysztof Wilmanski |
Publisher | : World Scientific |
Total Pages | : 416 |
Release | : 2008 |
Genre | : Science |
ISBN | : 9812835571 |
Download Continuum Thermodynamics - Part I Book in PDF, ePub and Kindle
This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models OCo ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others. The structure of phenomenological thermodynamics is justified by a systematic derivation from the Liouville equation, through the BBGKY-hierarchy-derived Boltzmann equation, to an extended thermodynamics. In order to simplify the reading, an extensive introduction to classical continuum mechanics and thermostatics is included. As a complementary volume to Part II, which will contain applications and examples, and to Part III, which will cover numerical methods, only a few simple examples are presented in this first Part. One exception is an extensive example of a linear poroelastic material because it will not appear in future Parts. The book is the first presentation of continuum thermodynamics in which foundations of continuum mechanics, microscopic foundations and transition to extended thermodynamics, applications of extended thermodynamics beyond ideal gases, and thermodynamic foundations of various material theories are exposed in a uniform and rational way. The book may serve both as a support for advanced courses as well as a desk reference.
Author | : Pierre-Richard Dahoo |
Publisher | : John Wiley & Sons |
Total Pages | : 237 |
Release | : 2016-08-16 |
Genre | : Technology & Engineering |
ISBN | : 111932968X |
Download Nanometer-scale Defect Detection Using Polarized Light Book in PDF, ePub and Kindle
This book describes the methods used to detect material defects at the nanoscale. The authors present different theories, polarization states and interactions of light with matter, in particular optical techniques using polarized light. Combining experimental techniques of polarized light analysis with techniques based on theoretical or statistical models to study faults or buried interfaces of mechatronic systems, the authors define the range of validity of measurements of carbon nanotube properties. The combination of theory and pratical methods presented throughout this book provide the reader with an insight into the current understanding of physicochemical processes affecting the properties of materials at the nanoscale.
Author | : Frédéric Barbaresco |
Publisher | : MDPI |
Total Pages | : 473 |
Release | : 2018-04-06 |
Genre | : Computers |
ISBN | : 3038424242 |
Download Differential Geometrical Theory of Statistics Book in PDF, ePub and Kindle
This book is a printed edition of the Special Issue "Differential Geometrical Theory of Statistics" that was published in Entropy
Author | : Franck Bayle |
Publisher | : John Wiley & Sons |
Total Pages | : 215 |
Release | : 2019-04-10 |
Genre | : Technology & Engineering |
ISBN | : 1119610656 |
Download Reliability of Maintained Systems Subjected to Wear Failure Mechanisms Book in PDF, ePub and Kindle
Today, the reliability of systems has become a major issue in most industrial applications. The theoretical approach to estimating reliability was largely developed in the 1960s for maintenance-free systems, and more recently, in the late 1990s, it was developed for maintenance-based systems. Customers’ expectations concerning reliability (as well as maintenance, safety, etc.) are growing ever more demanding over the generations of systems. However, the theoretical methods used to handle the systems are not suitable when aging mechanisms are present. This book proposes a theoretical approach to estimate all of these quantities correctly. In addition to the theoretical aspect, it details a number of issues that any industrial system will meet sooner or later, whether due to design flaws, the batch of components, manufacturing problems or new technologies that result in the aging of mechanisms during their operational use.
Author | : Michel Borel |
Publisher | : John Wiley & Sons |
Total Pages | : 145 |
Release | : 2017-01-03 |
Genre | : Science |
ISBN | : 1119379083 |
Download Movement Equations 2 Book in PDF, ePub and Kindle
The formalism processing of unbuckled solids mechanics involves several mathematical tools which are to be mastered at the same time. This volume collects the main points which take place in the course of the formalism, so that the user immediately finds what he needs without looking for it. Furthermore, the book contains a methodological formulary to guide the user in his approach.