Galilean Mechanics And Thermodynamics Of Continua

Download Galilean Mechanics And Thermodynamics Of Continua full books in PDF, epub, and Kindle. Read online Galilean Mechanics And Thermodynamics Of Continua ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Galilean Mechanics and Thermodynamics of Continua

Author : Géry de Saxcé
Publisher : John Wiley & Sons
ISBN 13 : 1119058031
Total Pages : 446 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!

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 2016-01-07 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.

Thermomechanics of Continua

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

DOWNLOAD NOW!

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.

The Mechanics and Thermodynamics of Continua

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

DOWNLOAD NOW!

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.

Introduction to Relativistic Continuum Mechanics

Author : Giorgio Ferrarese
Publisher : Springer
ISBN 13 : 3540731687
Total Pages : 340 pages
Book Rating : 4.5/5 (47 download)

DOWNLOAD NOW!

Book Synopsis Introduction to Relativistic Continuum Mechanics by : Giorgio Ferrarese

Download or read book Introduction to Relativistic Continuum Mechanics written by Giorgio Ferrarese and published by Springer. This book was released on 2007-09-30 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Differential Geometrical Theory of Statistics

Author : Frédéric Barbaresco
Publisher : MDPI
ISBN 13 : 3038424242
Total Pages : 473 pages
Book Rating : 4.0/5 (384 download)

DOWNLOAD NOW!

Book Synopsis Differential Geometrical Theory of Statistics by : Frédéric Barbaresco

Download or read book Differential Geometrical Theory of Statistics written by Frédéric Barbaresco and published by MDPI. This book was released on 2018-04-06 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Differential Geometrical Theory of Statistics" that was published in Entropy

Frontiers In Entropy Across The Disciplines - Panorama Of Entropy: Theory, Computation, And Applications

Author : M Zuhair Nashed
Publisher : World Scientific
ISBN 13 : 9811259410
Total Pages : 757 pages
Book Rating : 4.8/5 (112 download)

DOWNLOAD NOW!

Book Synopsis Frontiers In Entropy Across The Disciplines - Panorama Of Entropy: Theory, Computation, And Applications by : M Zuhair Nashed

Download or read book Frontiers In Entropy Across The Disciplines - Panorama Of Entropy: Theory, Computation, And Applications written by M Zuhair Nashed and published by World Scientific. This book was released on 2022-08-30 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frontiers in Entropy Across the Disciplines presents a panorama of entropy emphasizing mathematical theory, physical and scientific significance, computational methods, and applications in mathematics, physics, statistics, engineering, biomedical signals, and signal processing.In the last century classical concepts of entropy were introduced in the areas of thermodynamics, information theory, probability theory, statistics, dynamical systems, and ergodic theory. During the past 50 years, dozens of new concepts of entropy have been introduced and studied in many disciplines. This volume captures significant developments in this arena. It features expository, review, and research papers by distinguished mathematicians and scientists from many disciplines. The level of mathematics ranges from intermediate level to research level. Each chapter contains a comprehensive list of references. Topics include entropy and society, entropy and time, Souriau entropy on symplectic model of statistical physics, new definitions of entropy, geometric theory of heat and information, maximum entropy in Bayesian networks, maximum entropy methods, entropy analysis of biomedical signals (review and comparison of methods), spectral entropy and its application to video coding and speech coding, a comprehensive review of 50 years of entropy in dynamics, a comprehensive review on entropy, entropy-like quantities and applications, topological entropy of multimodal maps, entropy production in complex systems, entropy production and convergence to equilibrium, reversibility and irreversibility in entropy, nonequilibrium entropy, index of various entropy, entropy and the greatest blunder ever.

Geometric Structures of Statistical Physics, Information Geometry, and Learning

Author : Frédéric Barbaresco
Publisher : Springer Nature
ISBN 13 : 3030779572
Total Pages : 466 pages
Book Rating : 4.0/5 (37 download)

DOWNLOAD NOW!

Book Synopsis Geometric Structures of Statistical Physics, Information Geometry, and Learning by : Frédéric Barbaresco

Download or read book Geometric Structures of Statistical Physics, Information Geometry, and Learning written by Frédéric Barbaresco and published by Springer Nature. This book was released on 2021-06-27 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Machine learning and artificial intelligence increasingly use methodological tools rooted in statistical physics. Conversely, limitations and pitfalls encountered in AI question the very foundations of statistical physics. This interplay between AI and statistical physics has been attested since the birth of AI, and principles underpinning statistical physics can shed new light on the conceptual basis of AI. During the last fifty years, statistical physics has been investigated through new geometric structures allowing covariant formalization of the thermodynamics. Inference methods in machine learning have begun to adapt these new geometric structures to process data in more abstract representation spaces. This volume collects selected contributions on the interplay of statistical physics and artificial intelligence. The aim is to provide a constructive dialogue around a common foundation to allow the establishment of new principles and laws governing these two disciplines in a unified manner. The contributions were presented at the workshop on the Joint Structures and Common Foundation of Statistical Physics, Information Geometry and Inference for Learning which was held in Les Houches in July 2020. The various theoretical approaches are discussed in the context of potential applications in cognitive systems, machine learning, signal processing.

Joseph Fourier 250th Birthday

Author : Frédéric Barbaresco
Publisher : MDPI
ISBN 13 : 3038977462
Total Pages : 260 pages
Book Rating : 4.0/5 (389 download)

DOWNLOAD NOW!

Book Synopsis Joseph Fourier 250th Birthday by : Frédéric Barbaresco

Download or read book Joseph Fourier 250th Birthday written by Frédéric Barbaresco and published by MDPI. This book was released on 2019-03-28 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the 250th birthday of Joseph Fourier, born in 1768 in Auxerre, France, this MDPI Special Issue will explore modern topics related to Fourier Analysis and Heat Equation. Modern developments of Fourier analysis during the 20th century have explored generalizations of Fourier and Fourier–Plancherel formula for non-commutative harmonic analysis, applied to locally-compact, non-Abelian groups. In parallel, the theory of coherent states and wavelets has been generalized over Lie groups. One should add the developments, over the last 30 years, of the applications of harmonic analysis to the description of the fascinating world of aperiodic structures in condensed matter physics. The notions of model sets, introduced by Y. Meyer, and of almost periodic functions, have revealed themselves to be extremely fruitful in this domain of natural sciences. The name of Joseph Fourier is also inseparable from the study of the mathematics of heat. Modern research on heat equations explores the extension of the classical diffusion equation on Riemannian, sub-Riemannian manifolds, and Lie groups. In parallel, in geometric mechanics, Jean-Marie Souriau interpreted the temperature vector of Planck as a space-time vector, obtaining, in this way, a phenomenological model of continuous media, which presents some interesting properties. One last comment concerns the fundamental contributions of Fourier analysis to quantum physics: Quantum mechanics and quantum field theory. The content of this Special Issue will highlight papers exploring non-commutative Fourier harmonic analysis, spectral properties of aperiodic order, the hypoelliptic heat equation, and the relativistic heat equation in the context of Information Theory and Geometric Science of Information.

Geometric Science of Information

Author : Frank Nielsen
Publisher : Springer Nature
ISBN 13 : 3030802094
Total Pages : 929 pages
Book Rating : 4.0/5 (38 download)

DOWNLOAD NOW!

Book Synopsis Geometric Science of Information by : Frank Nielsen

Download or read book Geometric Science of Information written by Frank Nielsen and published by Springer Nature. This book was released on 2021-07-14 with total page 929 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 5th International Conference on Geometric Science of Information, GSI 2021, held in Paris, France, in July 2021. The 98 papers presented in this volume were carefully reviewed and selected from 125 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications. The papers are organized in the following topics: Probability and statistics on Riemannian Manifolds; sub-Riemannian geometry and neuromathematics; shapes spaces; geometry of quantum states; geometric and structure preserving discretizations; information geometry in physics; Lie group machine learning; geometric and symplectic methods for hydrodynamical models; harmonic analysis on Lie groups; statistical manifold and Hessian information geometry; geometric mechanics; deformed entropy, cross-entropy, and relative entropy; transformation information geometry; statistics, information and topology; geometric deep learning; topological and geometrical structures in neurosciences; computational information geometry; manifold and optimization; divergence statistics; optimal transport and learning; and geometric structures in thermodynamics and statistical physics.

Introduction to Symplectic Geometry

Author : Jean-Louis Koszul
Publisher : Springer
ISBN 13 : 9811339872
Total Pages : 121 pages
Book Rating : 4.8/5 (113 download)

DOWNLOAD NOW!

Book Synopsis Introduction to Symplectic Geometry by : Jean-Louis Koszul

Download or read book Introduction to Symplectic Geometry written by Jean-Louis Koszul and published by Springer. This book was released on 2019-04-15 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds. It consists of six chapters: Some Algebra Basics, Symplectic Manifolds, Cotangent Bundles, Symplectic G-spaces, Poisson Manifolds, and A Graded Case, concluding with a discussion of the differential properties of graded symplectic manifolds of dimensions (0,n). It is a useful reference resource for students and researchers interested in geometry, group theory, analysis and differential equations.This book is also inspiring in the emerging field of Geometric Science of Information, in particular the chapter on Symplectic G-spaces, where Jean-Louis Koszul develops Jean-Marie Souriau's tools related to the non-equivariant case of co-adjoint action on Souriau’s moment map through Souriau’s Cocycle, opening the door to Lie Group Machine Learning with Souriau-Fisher metric.

Lagrangian Mechanics

Author : Anh Le Van
Publisher : John Wiley & Sons
ISBN 13 : 1119629713
Total Pages : 326 pages
Book Rating : 4.1/5 (196 download)

DOWNLOAD NOW!

Book Synopsis Lagrangian Mechanics by : Anh Le Van

Download or read book Lagrangian Mechanics written by Anh Le Van and published by John Wiley & Sons. This book was released on 2019-06-03 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lagrangian Mechanics explains the subtleties of analytical mechanics and its applications in rigid body mechanics. The authors demonstrate the primordial role of parameterization, which conditions the equations and thus the information obtained; the essential notions of virtual kinematics, such as the virtual derivative and the dependence of the virtual quantities with respect to a reference frame; and the key concept of perfect joints and their intrinsic character, namely the invariance of the fields of compatible virtual velocities with respect to the parameterization. Throughout the book, any demonstrated results are stated with the respective hypotheses, clearly indicating the applicability conditions for the results to be ready for use. Numerous examples accompany the text, facilitating the understanding of the calculation mechanisms. The book is mainly intended for Bachelor's, Master's or engineering students who are interested in an in-depth study of analytical mechanics and its applications.

Fluid Mechanics

Author : Michel Ledoux
Publisher : John Wiley & Sons
ISBN 13 : 1119384613
Total Pages : 304 pages
Book Rating : 4.1/5 (193 download)

DOWNLOAD NOW!

Book Synopsis Fluid Mechanics by : Michel Ledoux

Download or read book Fluid Mechanics written by Michel Ledoux and published by John Wiley & Sons. This book was released on 2017-01-19 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to provide an efficient methodology of solving a fluid mechanics problem. It aims to meet different objectives of the student, the future engineer or scientist. Using simple sizing calculations, and more advanced analytical calculations, the book covers all the essential numerical approaches for solving complex practical problems.

Mechanics of Aeronautical Composite Materials

Author : Christophe Bouvet
Publisher : John Wiley & Sons
ISBN 13 : 1119459036
Total Pages : 318 pages
Book Rating : 4.1/5 (194 download)

DOWNLOAD NOW!

Book Synopsis Mechanics of Aeronautical Composite Materials by : Christophe Bouvet

Download or read book Mechanics of Aeronautical Composite Materials written by Christophe Bouvet and published by John Wiley & Sons. This book was released on 2017-08-14 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the principles of composite laminate sizing widely used for composite structures. The focus is on aeronautics in particular, including the concepts of limit loads and ultimate loads. After a brief overview of the main composite materials used in aeronautics, the basic theory of laminated plates and the associated rupture criteria are given. The author presents two fundamental cases of the sizing of aeronautical composite structures: the calculation of the holed structures and their subsequent multi-bolt joints, and the calculation of the buckling. The concept of damage tolerance is also explored, with a focus on its application for tolerance to impact damage. These notions are fundamental for understanding the specificities of the sizing of aeronautical composite structures. The book also contains corrected exercises for the reader to test their understanding of the different topics covered.

Modern Trends in Structural and Solid Mechanics 3

Author : Noel Challamel
Publisher : John Wiley & Sons
ISBN 13 : 1119831814
Total Pages : 306 pages
Book Rating : 4.1/5 (198 download)

DOWNLOAD NOW!

Book Synopsis Modern Trends in Structural and Solid Mechanics 3 by : Noel Challamel

Download or read book Modern Trends in Structural and Solid Mechanics 3 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-02 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprised of three separate volumes presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This third volume is devoted to non-deterministic mechanics. Modern Trends in Structural and Solid Mechanics 3 has broad scope, covering topics such: design optimization under uncertainty, interval field approaches, convex analysis, quantum inspired topology optimization and stochastic dynamics. The book is illustrated by many applications in the field of aerospace engineering, mechanical engineering, civil engineering, biomedical engineering and automotive engineering. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

Modern Trends in Structural and Solid Mechanics 2

Author : Noel Challamel
Publisher : John Wiley & Sons
ISBN 13 : 1786307154
Total Pages : 306 pages
Book Rating : 4.7/5 (863 download)

DOWNLOAD NOW!

Book Synopsis Modern Trends in Structural and Solid Mechanics 2 by : Noel Challamel

Download or read book Modern Trends in Structural and Solid Mechanics 2 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book – comprised of three separate volumes – presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This second volume is devoted to the vibrations of solid and structural members. Modern Trends in Structural and Solid Mechanics 2 has broad scope, covering topics such as: exact and approximate vibration solutions of rods, beams, membranes, plates and three-dimensional elasticity problems, Bolotins dynamic edge effect, the principles of plate theories in dynamics, nano- and microbeams, nonlinear dynamics of shear extensible beams, the vibration and aeroelastic stability behavior of cellular beams, the dynamic response of elastoplastic softening oscillators, the complex dynamics of hysteretic oscillators, bridging waves, and the three-dimensional propagation of waves. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

Modern Trends in Structural and Solid Mechanics 1

Author : Noel Challamel
Publisher : John Wiley & Sons
ISBN 13 : 1119831873
Total Pages : 306 pages
Book Rating : 4.1/5 (198 download)

DOWNLOAD NOW!

Book Synopsis Modern Trends in Structural and Solid Mechanics 1 by : Noel Challamel

Download or read book Modern Trends in Structural and Solid Mechanics 1 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-08 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book - comprised of three separate volumes - presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This first volume is devoted to the statics and stability of solid and structural members. Modern Trends in Structural and Solid Mechanics 1 has broad scope, covering topics such as: buckling of discrete systems (elastic chains, lattices with short and long range interactions, and discrete arches), buckling of continuous structural elements including beams, arches and plates, static investigation of composite plates, exact solutions of plate problems, elastic and inelastic buckling, dynamic buckling under impulsive loading, buckling and post-buckling investigations, buckling of conservative and non-conservative systems and buckling of micro and macro-systems. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

Compressible Flow Propulsion and Digital Approaches in Fluid Mechanics

Author : Michel Ledoux
Publisher : John Wiley & Sons
ISBN 13 : 1119368766
Total Pages : 288 pages
Book Rating : 4.1/5 (193 download)

DOWNLOAD NOW!

Book Synopsis Compressible Flow Propulsion and Digital Approaches in Fluid Mechanics by : Michel Ledoux

Download or read book Compressible Flow Propulsion and Digital Approaches in Fluid Mechanics written by Michel Ledoux and published by John Wiley & Sons. This book was released on 2017-01-19 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide an efficient methodology of solving a fluid mechanics problem, based on an awareness of the physical. It meets different objectives of the student, the future engineer or scientist: Simple sizing calculations are required to master today's numerical approach for solving complex practical problems.