The Thermomechanics Of Nonlinear Irreversible Behaviours

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The Thermomechanics of Nonlinear Irreversible Behaviors

Author : Grard A. Maugin
Publisher : World Scientific
ISBN 13 : 9789810233754
Total Pages : 398 pages
Book Rating : 4.2/5 (337 download)

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Book Synopsis The Thermomechanics of Nonlinear Irreversible Behaviors by : Grard A. Maugin

Download or read book The Thermomechanics of Nonlinear Irreversible Behaviors written by Grard A. Maugin and published by World Scientific. This book was released on 1999 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this invaluable book, macroscopic irreversible thermodynamics is presented in its realm and its splendor by appealing to the notion of internal variables of state. This applies to both fluids and solids with or without microstructures of mechanical or electromagnetic origin. This unmatched richness of essentially nonlinear behaviors is the result of the use of modern mathematical techniques such as convex analysis in a clear-cut framework which allows one to put under the umbrella of ?irreversible thermodynamics? behaviors which until now have been commonly considered either not easily covered, or even impossible to incorporate into such a framework.The book is intended for all students and researchers whose main concern is the rational modeling of complex and/or new materials with physical and engineering applications, such as those accounting for coupled-field, hysteresis, fracture, nonlinear-diffusion, and phase-transformation phenomena.

Extended Irreversible Thermodynamics

Author : David Jou
Publisher : Springer Science & Business Media
ISBN 13 : 9783540411567
Total Pages : 488 pages
Book Rating : 4.4/5 (115 download)

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Book Synopsis Extended Irreversible Thermodynamics by : David Jou

Download or read book Extended Irreversible Thermodynamics written by David Jou and published by Springer Science & Business Media. This book was released on 2001 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive monograph on a new thermodynamic theory that goes beyond the classical theory of irreversible processes. In contrast to the classical approach, the local equilibrium hypothesis is abandoned. The basic variables describing the system are no longer the equilibrium conserved variables: the latter are complemented by non-equilibrium quantities, such as the heat flux, the viscous pressure tensor, the matter flux, the electric current flux, etc. The claims made for extended thermodynamics are confirmed by the kinetic theory of gases and statistical mechanics. The book covers a wide spectrum of applications such as hyperbolic heat conduction, rheological models, waves in fluids, generalized hydrodynamics, phase diagrams of solutions under shear, non-Fickian diffusion, electrical systems, and a relativistic formulation including some cosmological applications. The book also contains a wide discussion of the foundations and the scope of the current theories on non-equilibrium thermodynamics (classical irreversible thermodynamics and rational thermodynamics). The present edition reflects new developments in the theory and applications, adds new problems and provides a more detailed comparison with other fields of active research. It contains one hundred thirty proposed problems, whose detailed solutions, as well as wide bibliography on extended irreversible thermodynamics and related topics, may be unloaded from the www.uab.es/dep-fisica/eit website

Non-Classical Continuum Mechanics

Author : Gérard A. Maugin
Publisher : Springer
ISBN 13 : 9811024340
Total Pages : 268 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Non-Classical Continuum Mechanics by : Gérard A. Maugin

Download or read book Non-Classical Continuum Mechanics written by Gérard A. Maugin and published by Springer. This book was released on 2016-09-24 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dictionary offers clear and reliable explanations of over 100 keywords covering the entire field of non-classical continuum mechanics and generalized mechanics, including the theory of elasticity, heat conduction, thermodynamic and electromagnetic continua, as well as applied mathematics. Every entry includes the historical background and the underlying theory, basic equations and typical applications. The reference list for each entry provides a link to the original articles and the most important in-depth theoretical works. Last but not least, ever y entry is followed by a cross-reference to other related subject entries in the dictionary.

Thermomechanical Behavior of Dissipative Composite Materials

Author : George Chatzigeorgiou
Publisher : Elsevier
ISBN 13 : 0081025521
Total Pages : 298 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Thermomechanical Behavior of Dissipative Composite Materials by : George Chatzigeorgiou

Download or read book Thermomechanical Behavior of Dissipative Composite Materials written by George Chatzigeorgiou and published by Elsevier. This book was released on 2018-01-16 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thermomechanical Behavior of Dissipative Composite Materials presents theoretical and numerical tools for studying materials and structures under fully coupled thermomechanical conditions, focusing primarily on composites. The authors cover many aspects of the modeling process and provide the reader with the knowledge required to identify the conservation laws and thermodynamic principles that must be respected by most solid materials. The book also covers construct constitutive laws for various types of dissipative processes, both rate-independent and rate-dependent, by utilizing a rigorous thermodynamic framework. Topics explored are useful for graduate students and advanced researchers who wish to strengthen their knowledge of the application of thermodynamic principles. - Identifies the conservation laws and thermodynamic principles that need to be respected by any solid material - Presents construct, proper constitutive laws for various types of dissipative processes, both rate-independent and rate-dependent, by utilizing an appropriate thermodynamic framework - Includes robust numerical algorithms that permit accuracy and efficiency in the calculations of very complicated constitutive laws - Uses rigorous homogenization theories for materials and structures with both periodic and random microstructure

Continuum Mechanics Through the Twentieth Century

Author : Gerard A Maugin
Publisher : Springer Science & Business Media
ISBN 13 : 9400763530
Total Pages : 321 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Continuum Mechanics Through the Twentieth Century by : Gerard A Maugin

Download or read book Continuum Mechanics Through the Twentieth Century written by Gerard A Maugin and published by Springer Science & Business Media. This book was released on 2013-04-08 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.

Continuum Mechanics Through the Eighteenth and Nineteenth Centuries

Author : Gérard A. Maugin
Publisher : Springer Science & Business Media
ISBN 13 : 3319053744
Total Pages : 275 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Continuum Mechanics Through the Eighteenth and Nineteenth Centuries by : Gérard A. Maugin

Download or read book Continuum Mechanics Through the Eighteenth and Nineteenth Centuries written by Gérard A. Maugin and published by Springer Science & Business Media. This book was released on 2014-04-04 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conceived as a series of more or less autonomous essays, the present book critically exposes the initial developments of continuum thermo-mechanics in a post Newtonian period extending from the creative works of the Bernoullis to the First World war, i.e., roughly during first the “Age of reason” and next the “Birth of the modern world”. The emphasis is rightly placed on the original contributions from the “Continental” scientists (the Bernoulli family, Euler, d’Alembert, Lagrange, Cauchy, Piola, Duhamel, Neumann, Clebsch, Kirchhoff, Helmholtz, Saint-Venant, Boussinesq, the Cosserat brothers, Caratheodory) in competition with their British peers (Green, Kelvin, Stokes, Maxwell, Rayleigh, Love,..). It underlines the main breakthroughs as well as the secondary ones. It highlights the role of scientists who left essential prints in this history of scientific ideas. The book shows how the formidable developments that blossomed in the twentieth century (and perused in a previous book of the author in the same Springer Series: “Continuum Mechanics through the Twentieth Century”, Springer 2013) found rich compost in the constructive foundational achievements of the eighteenth and nineteenth centuries. The pre-WWI situation is well summarized by a thorough analysis of treatises (Appell, Hellinger) published at that time. English translations by the author of most critical texts in French or German are given to the benefit of the readers.

Configurational Mechanics

Author : V.K. Kalpakides
Publisher : CRC Press
ISBN 13 : 9780203024553
Total Pages : 184 pages
Book Rating : 4.0/5 (245 download)

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Book Synopsis Configurational Mechanics by : V.K. Kalpakides

Download or read book Configurational Mechanics written by V.K. Kalpakides and published by CRC Press. This book was released on 2004-11-23 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises papers that were presented at the Symposium on Configurational Mechanics, during the 5th EUROMECH Soil Mechanics Conference in Thessaloniki in August 2003. Configurational (or material) mechanics -in contrast to Newtonian mechanics in Euclidean space- concerns any sort of change or "motion" in the material configuration. This framework provides a novel and unifying view on otherwise diverse disciplines like fracture mechanics, phase transitions, plasticity and dislocation theory. In addition, configurational mechanics can be used in computations because it provides a fruitful interpretation of the field equations in the discretized space. This volume contains eleven contributions from specialists from around Europe Articles concern both theoretical and computational mechanics, electroplasticity, magnetoelasticity, elastoplasticity as well as granular, multiphase and micropolar media.

Mechanics of Soft Materials

Author : Konstantin Volokh
Publisher : Springer
ISBN 13 : 9811383715
Total Pages : 171 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Mechanics of Soft Materials by : Konstantin Volokh

Download or read book Mechanics of Soft Materials written by Konstantin Volokh and published by Springer. This book was released on 2019-06-11 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a concise introduction to soft matter modelling, together with an up-to-date review of the continuum mechanical description of soft and biological materials, from the basics to the latest scientific materials. It also includes multi-physics descriptions, such as chemo-, thermo-, and electro-mechanical coupling. The new edition includes a new chapter on fractures as well as numerous corrections, clarifications and new solutions. Based on a graduate course taught for the past few years at Technion, it presents original explanations for a number of standard materials, and features detailed examples to complement all topics discussed.

Continuum Thermomechanics

Author : Gérard A. Maugin
Publisher : Springer Science & Business Media
ISBN 13 : 0306469464
Total Pages : 428 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Continuum Thermomechanics by : Gérard A. Maugin

Download or read book Continuum Thermomechanics written by Gérard A. Maugin and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed by world-renowned specialists on the occasion of Paul Germain's 80th birthday, this unique book reflects the foundational works and the intellectual influence of this author. It presents the realm of modern thermomechanics with its extraordinary wealth of applications to the behaviour of materials, whether solid or fluid. The thirty-one contributions follow an easygoing autobiographical sketch by Paul Germain, and highlight the power and richness of a methodological approach to the phenomenology of many materials. This approach combines harmoniously thermodynamics and continuum theory in order to provide exploitable, thermodynamically admissible models of a large variety of behaviours and phenomena, including those of diffusion, thermoelasticity, viscoplasticity, relaxation, hysteresis, wetting, shape-memory effects, growth, phase transitions, stability, fracture, shocks, machining of materials, microstructured solids, complex fluids, etc. Especially aimed at graduate students, researchers, and engineers in mechanical engineering and materials science, this book also presents the state of the art in an active field of research and opens new horizons in other scientific fields, such as applied mathematics and applied physics, because of the intellectual satisfaction and remarkable efficiency provided by the advocated approach.

Physics Avoidance

Author : Mark Wilson
Publisher : Oxford University Press
ISBN 13 : 0192525247
Total Pages : 376 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Physics Avoidance by : Mark Wilson

Download or read book Physics Avoidance written by Mark Wilson and published by Oxford University Press. This book was released on 2017-10-20 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mark Wilson presents a series of explorations of our strategies for understanding the world. "Physics avoidance" refers to the fact that we frequently cannot reason about nature in the straightforward manner we anticipate, but must seek alternative policies that allow us to address the questions we want answered in a tractable way. Within both science and everyday life, we find ourselves relying upon thought processes that reach useful answers in opaque and roundabout manners. Conceptual innovators are often puzzled by the techniques they develop, when they stumble across reasoning patterns that are easy to implement but difficult to justify. But simple techniques frequently rest upon complex foundations—a young magician learns how to execute a card-guessing trick without understanding how its progressive steps squeeze in on a proper answer. As we collectively improve our inferential skills in this gradually evolving manner, we often wander into unfamiliar explanatory landscapes in which simple words encode physical information in complex and unanticipated ways. Like our juvenile conjurer, we fail to recognize the true strategic rationales underlying our achievements and may turn instead to preposterous rationalizations for our policies. We have learned how to reach better conclusions in a more fruitful way, but we remain baffled by our own successes. At its best, philosophical reflection illuminates the natural developmental processes that generate these confusions and explicates their complexities. But current thinking within philosophy of science and language works to opposite effect by relying upon simplistic conceptions of "cause", "law of nature", "possibility", and "reference" that ignore the strategic complexities in which these concepts become entangled within real life usage. To avoid these distortions, better descriptive tools are required in philosophy. The nine new essays within this volume illustrate this need for finer discriminations through a range of revealing cases, of both historical and contemporary significance.

Applied Mechanics: Progress And Applications, Proceedings Of The Third Australasian Congress On Applied Mechanics

Author : John Gal
Publisher : World Scientific
ISBN 13 : 9814489328
Total Pages : 731 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Applied Mechanics: Progress And Applications, Proceedings Of The Third Australasian Congress On Applied Mechanics by : John Gal

Download or read book Applied Mechanics: Progress And Applications, Proceedings Of The Third Australasian Congress On Applied Mechanics written by John Gal and published by World Scientific. This book was released on 2002-02-04 with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Keynote PapersBiomechanicsConstitutive ModellingFracture, Fatigue and DamageGeo-Mechanics and MiningImpact and DynamicsMeasurement and Case StudiesMachining and SurfacingMetal FormingParticle MaterialsSmart Structures, Structure Repair and MonitoringStress, Deformation and CompositesStructural Mechanics and OptimisationTribology, Manufacturing and MachineryVibration and Time-Dependent Deformation Readership: Graduate students, academics, researchers and practitioners in engineering mechanics, aerospace engineering and materials engineering. Keywords:

Configurational Forces

Author : Gerard A. Maugin
Publisher : CRC Press
ISBN 13 : 9781439846131
Total Pages : 562 pages
Book Rating : 4.8/5 (461 download)

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Book Synopsis Configurational Forces by : Gerard A. Maugin

Download or read book Configurational Forces written by Gerard A. Maugin and published by CRC Press. This book was released on 2016-04-19 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring recent developments in continuum mechanics, Configurational Forces: Thermomechanics, Physics, Mathematics, and Numerics presents the general framework for configurational forces. It also covers a range of applications in engineering and condensed matter physics. The author presents the fundamentals of accepted standard continuum mechanics, before introducing Eshelby material stress, field theory, variational formulations, Noether’s theorem, and the resulting conservation laws. In the chapter on complex continua, he compares the classical perspective of B.D. Coleman and W. Noll with the viewpoint linked to abstract field theory. He then describes the important notion of local structural rearrangement and its relationship to Eshelby stress. After looking at the relevance of Eshelby stress in the thermodynamic description of singular interfaces, the text focuses on fracture problems, microstructured media, systems with mass exchanges, and electromagnetic deformable media. The concluding chapters discuss the exploitation of the canonical conservation law of momentum in nonlinear wave propagation, the application of canonical-momentum conservation law and material force in numerical schemes, and similarities of fluid mechanics and aerodynamics. Written by a long-time researcher in mechanical engineering, this book provides a detailed treatment of the theory of configurational forces—one of the latest and most fruitful advances in macroscopic field theories. Through many applications, it shows the depth and efficiency of this theory.

Mechanics of Generalized Continua

Author : Gérard A. Maugin
Publisher : Springer Science & Business Media
ISBN 13 : 1441956956
Total Pages : 337 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Mechanics of Generalized Continua by : Gérard A. Maugin

Download or read book Mechanics of Generalized Continua written by Gérard A. Maugin and published by Springer Science & Business Media. This book was released on 2010-03-24 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics and can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics.

Proceedings of the Estonian Academy of Sciences, Physics and Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4./5 ( download)

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Book Synopsis Proceedings of the Estonian Academy of Sciences, Physics and Mathematics by :

Download or read book Proceedings of the Estonian Academy of Sciences, Physics and Mathematics written by and published by . This book was released on 1999-09 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Wave Mathematics

Author : Ewald Quak
Publisher : Springer Science & Business Media
ISBN 13 : 3642005853
Total Pages : 467 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Applied Wave Mathematics by : Ewald Quak

Download or read book Applied Wave Mathematics written by Ewald Quak and published by Springer Science & Business Media. This book was released on 2009-08-29 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume consists of twelve contributions related to the EU Marie Curie Transfer of Knowledge Project Cooperation of Estonian and Norwegian Scienti c Centres within Mathematics and its Applications, CENS-CMA (2005-2009), - der contract MTKD-CT-2004-013909, which ?nanced exchange visits to and from CENS, the Centre for Nonlinear Studies at the Institute of Cybernetics of Tallinn University of Technology in Estonia. Seven contributions describe research highlights of CENS members, two the work of members of CMA, the Centre of Mathematics for Applications,Univ- sity of Oslo, Norway, as the partner institution of CENS in the Marie Curie project, and three the ?eld of work of foreign research fellows, who visited CENS as part of theproject. Thestructureofthebookre?ectsthedistributionofthetopicsaddressed: Part I Waves in Solids Part II Mesoscopic Theory Part III Exploiting the Dissipation Inequality Part IV Waves in Fluids Part V Mathematical Methods The papers are written in a tutorial style, intended for non-specialist researchers and students, where the authors communicate their own experiences in tackling a problem that is currently of interest in the scienti?c community. The goal was to produce a book, which highlights the importance of applied mathematics and which can be used for educational purposes, such as material for a course or a seminar. To ensure the scienti?c quality of the contributions, each paper was carefully - viewed by two international experts. Special thanks go to all authors and referees, without whom making this book would not have been possible.

Lectures in Synergetics

Author : V. I. Sugakov
Publisher : World Scientific
ISBN 13 : 9789810234959
Total Pages : 222 pages
Book Rating : 4.2/5 (349 download)

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Book Synopsis Lectures in Synergetics by : V. I. Sugakov

Download or read book Lectures in Synergetics written by V. I. Sugakov and published by World Scientific. This book was released on 1998 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world that surrounds us is a complex system of interacting objects. The versatility of the links and interactions brings about the infinite multiplicity of natural phenomena. ?Synergetics? studies nonlinear nonequilibrium processes and self-organization phenomena, allowing for description, systematization and generalization of the phenomena that are described by the different branches of natural science: physics, chemistry, biology, as well as sociology and economics. This book introduces the reader to the exciting world of the nonlinear phenomena that are studied in synergetics. The book comprises treatises on mathematical methods for the study of nonequilibrium processes and presents versatile phenomena studied in synergetics: multistability, self-oscillation, spatial stratification, autowaves, kinetic phase transitions and chaos. Examples of self-organization in physics, chemistry, biology covered in this volume include laser generation, optical bistability, self-oscillations in semiconductors and chemical reactions, spatial stratification in hydrodynamics and in crystals, auto-waves in semiconductors and nerve fibers and many other phenomena. The majority of the phenomena considered occur in physics but the book is also useful for chemists and biologists.

Quasi-conservative Systems: Cycles, Resonances And Chaos

Author : Albert D Morozov
Publisher : World Scientific
ISBN 13 : 9814498408
Total Pages : 339 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quasi-conservative Systems: Cycles, Resonances And Chaos by : Albert D Morozov

Download or read book Quasi-conservative Systems: Cycles, Resonances And Chaos written by Albert D Morozov and published by World Scientific. This book was released on 1998-06-30 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the theory of nonconservative systems close to nonlinear integrable ones. With the example of concrete quasi-conservative systems close to nonintegrable ones, the results of numerical analysis are given, and the problem of applying the small parameter method is analyzed.The fundamantal part of the book deals with the investigation of the perturbable systems. Both autonomous and nonautonomous (periodic in time) systems are considered. The global analysis of systems close to the two-dimensional Hamiltonian ones takes a central place in the text. This global analysis includes the solution to problems such as the limit cycles, resonances, and nonregular dynamics. For the autonomous systems, one should note the analysis of the standard (Duffing and pendulum) equations including the solution to the “weakened” 16 Hilbert's problem, and for the nonautonomous systems one should note the mathematical foundations of the theory of synchronization of oscillations (the existence of new regimes, and the passage of invariant tori across the resonance zones under the change of detuning). The presentation is accompanied by examples.