Non Equilibrium Thermodynamics With Application To Solids

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Thermodynamics And Rheology

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Author : J. Verhás
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-03-31

Thermodynamics And Rheology written by J. Verhás and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-03-31 with Science categories.

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.

Maximum Dissipation Non Equilibrium Thermodynamics And Its Geometric Structure

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Author : Henry W. Haslach Jr.
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-15

Maximum Dissipation Non Equilibrium Thermodynamics And Its Geometric Structure written by Henry W. Haslach Jr. and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-15 with Science categories.

Maximum Dissipation: Non-Equilibrium Thermodynamics and its Geometric Structure explores the thermodynamics of non-equilibrium processes in materials. The book develops a general technique created in order to construct nonlinear evolution equations describing non-equilibrium processes, while also developing a geometric context for non-equilibrium thermodynamics. Solid materials are the main focus in this volume, but the construction is shown to also apply to fluids. This volume also: • Explains the theory behind thermodynamically-consistent construction of non-linear evolution equations for non-equilibrium processes • Provides a geometric setting for non-equilibrium thermodynamics through several standard models, which are defined as maximum dissipation processes • Emphasizes applications to the time-dependent modeling of soft biological tissue Maximum Dissipation: Non-Equilibrium Thermodynamics and its Geometric Structure will be valuable for researchers, engineers and graduate students in non-equilibrium thermodynamics and the mathematical modeling of material behavior.

Non Equilibrium Thermodynamics With Application To Solids

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Author : W. Muschik
language : en
Publisher: Springer
Release Date : 2014-05-04

Non Equilibrium Thermodynamics With Application To Solids written by W. Muschik and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.

This book puts emphasis on developing the basic ideas behind the different approaches to non-equilibrium thermodynamics and on applying them to solids. After a survey about different approaches an introduction to their common fundamentals is given in the first part. In the second part the mechanical behavior of special materials such as viscoelasticity, viscoplasticity, viscoelastoplasticity, and thermoplasticity are discussed. The third part is devoted to extended thermodynamics. The basic ideas, phenomenological as well as microscopical, are reviewed and applied to thermo- and viscoelastic materials. Electromagnetic solids showing dielectric relaxation, such as ceramics, showing electromagneto-mechanical hysteresis and superconductivity are treated in the fourth part. In the last part stability with regard to constitutive equations is investigated. Especially stability of quasi-static processes and of elastic-plastic systems are discussed.

Trends In Applications Of Mathematics To Mechanics

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Author : Gerard Iooss
language : en
Publisher: CRC Press
Release Date : 1999-10-22

Trends In Applications Of Mathematics To Mechanics written by Gerard Iooss and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-22 with Mathematics categories.

The International Society for the Interaction of Mechanics and Mathematics has a long-standing and respected tradition of hosting symposia that provide a forum for disseminating new developments and methods. Trends in Applications of Mathematics to Mechanics represents the proceedings of the eleventh such symposium, held at the University of Nice in May 1998. Comprising invited lectures and refereed papers, this volume includes recent results that open perspectives on fields in mechanics and their methodological counterparts in mathematics. It also surveys important advances in the areas where mathematics and mechanics interact. The applications addressed include:

Continuum Thermodynamics And Material Modelling

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Author : Kari Santaoja
language : en
Publisher: Cambridge University Press
Release Date : 2024-06-30

Continuum Thermodynamics And Material Modelling written by Kari Santaoja and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-30 with Mathematics categories.

A complete treatment of continuum thermodynamics with applications to material modelling, packed with examples and illustrations.

Understanding Non Equilibrium Thermodynamics

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Author : Georgy Lebon
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-12

Understanding Non Equilibrium Thermodynamics written by Georgy Lebon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-12 with Science categories.

Our time is characterized by an explosion of information and by an accel- ation of knowledge. A book cannot compete with the huge amount of data available on the Web. However, to assimilate all this information, it is n- essary to structure our knowledge in a useful conceptual framework. The purpose of the present work is to provide such a structure for students and researchers interested by the current state of the art of non-equilibrium th- modynamics. The main features of the book are a concise and critical pres- tation of the basic ideas, illustrated by a series of examples, selected not only for their pedagogical value but also for the perspectives o?ered by recent technological advances. This book is aimed at students and researchers in physics, chemistry, engineering, material sciences, and biology. We have been guided by two apparently antagonistic objectives: gener- ity and simplicity. To make the book accessible to a large audience of n- specialists, we have decided about a simpli?ed but rigorous presentation. Emphasis is put on the underlying physical background without sacri?cing mathematical rigour, the several formalisms being illustrated by a list of - amplesandproblems. Alloverthiswork,wehavebeenguidedbytheformula: “Getthemorefromtheless”,withthepurposetomakeamaximumofpeople aware of a maximum of knowledge from a minimum of basic tools. Besidesbeinganintroductorytext,ourobjectiveistopresentanoverview, as general as possible, of the more recent developments in non-equilibrium thermodynamics, especially beyond the local equilibrium description.

Modern Thermodynamics

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Author : Dilip Kondepudi
language : en
Publisher: John Wiley & Sons
Release Date : 2014-12-31

Modern Thermodynamics written by Dilip Kondepudi and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-31 with Science categories.

Modern Thermodynamics: From Heat Engines to Dissipative Structures, Second Edition presents a comprehensive introduction to 20th century thermodynamics that can be applied to both equilibrium and non-equilibrium systems, unifying what was traditionally divided into ‘thermodynamics’ and ‘kinetics’ into one theory of irreversible processes. This comprehensive text, suitable for introductory as well as advanced courses on thermodynamics, has been widely used by chemists, physicists, engineers and geologists. Fully revised and expanded, this new edition includes the following updates and features: Includes a completely new chapter on Principles of Statistical Thermodynamics. Presents new material on solar and wind energy flows and energy flows of interest to engineering. Covers new material on self-organization in non-equilibrium systems and the thermodynamics of small systems. Highlights a wide range of applications relevant to students across physical sciences and engineering courses. Introduces students to computational methods using updated Mathematica codes. Includes problem sets to help the reader understand and apply the principles introduced throughout the text. Solutions to exercises and supplementary lecture material provided online at http://sites.google.com/site/modernthermodynamics/. Modern Thermodynamics: From Heat Engines to Dissipative Structures, Second Edition is an essential resource for undergraduate and graduate students taking a course in thermodynamics.

Nonlinear Waves In Elastic Crystals

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Author : Gérard A. Maugin
language : en
Publisher:
Release Date : 1999

Nonlinear Waves In Elastic Crystals written by Gérard A. Maugin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

The mathematical modelling of changing structures in materials is of increasing importance to industry where applications of the theory are found in subjects as diverse as aerospace and medicine. This book deals with aspects of the nonlinear dynamics of deformable ordered solids (known as elastic crystals) where the nonlinear effects combine or compete with each other. Physical and mathematical models are discused and computational aspects are also included. Different models are considered - on discrete as well as continuum scales - applying heat, electricity, or magnetism to the crystal structure and these are analysed using the equations of rational mechanics. In this way the student is introduced to the important equations of nonlinear science that describe shock waves, solitons and chaos and also the non-exactly integrable systems or partial differential equations. A large number of problems and examples are included, many taken from recent research and involving both one-dimensional and two-dimensional problems as well as some coupled degress of freedom.

Mechanics And Electrodynamics Of Magneto And Electro Elastic Materials

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Author : Raymond Ogden
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-25

Mechanics And Electrodynamics Of Magneto And Electro Elastic Materials written by Raymond Ogden and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-25 with Science categories.

This volume presents a state-of-the-art overview of the continuum theory of both electro- and magneto-sensitive elastomers and polymers, which includes mathematical and computational aspects of the modelling of these materials from the point of view of material properties and, in particular, the "smart-material" control of their mechanical properties.

Nonequilibrium Thermodynamics

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Author : Yasar Demirel
language : en
Publisher: Elsevier
Release Date : 2025-02-17

Nonequilibrium Thermodynamics written by Yasar Demirel and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-17 with Technology & Engineering categories.

This fully updated and revised fifth edition of Nonequilibrium Thermodynamics: Transport and Rate Processes in Physical, Chemical, and Biological Systems emphasizes the unifying role of thermodynamics and their use in transport processes and chemical reactions in physical, chemical, and biological systems. This reorganized new edition provides thermodynamical approaches for foundational understanding of natural phenomena with multiscale chemical, physical, and biological systems, consisting of interactive processes leading to self-organized dissipative structures, fluctuations, and instabilities. This edition also emphasizes thermodynamic approaches, tools, and techniques, including energy analysis, process intensification, and artificial intelligence, for undertaking sustainable engineering.This book will be an excellent resource for graduate students and researchers in the fields of engineering, chemistry, physics, energy, biotechnology, and biology, as well as those whose work involves understanding the evolution of nonequilibrium systems, information theory, stochastic processes, and sustainable engineering. This may also be useful to professionals working in irreversibility, dissipative structures, process exergy analysis and thermoeconomics, digitalization in manufacturing, and data processing. - Highlights the fundamentals of equilibrium thermodynamics and phase equilibria - Expands the theory of nonequilibrium thermodynamics and its use in coupled reactions and transport processes in various time and space scales of physical, chemical, and biological systems - Discusses self-organized dissipative structures, quantum thermodynamics, information theory, and stochastic approaches in thermodynamic analysis, including fluctuation theories and molecular motors - Includes new content on sustainable engineering with thermodynamics tools and techniques, including energy analysis, process intensification, and artificial intelligencePresents many fully solved examples and numerous practice problemsOffers instructor resources containing a solution manual that can be obtained from the authors