Phase Change In Mechanics
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Phase Change In Mechanics
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Author : Michel Frémond
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-07
Phase Change In Mechanics written by Michel Frémond 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 2012-02-07 with Mathematics categories.
Predictive theories of phenomena involving phase change with applications in engineering are investigated in this volume, e.g. solid-liquid phase change, volume and surface damage, and phase change involving temperature discontinuities. Many other phase change phenomena such as solid-solid phase change in shape memory alloys and vapor-liquid phase change are also explored. Modeling is based on continuum thermo-mechanics. This involves a renewed principle of virtual power introducing the power of the microscopic motions responsible for phase change. This improvement yields a new equation of motion related to microscopic motions, beyond the classical equation of motion for macroscopic motions. The new theory sensibly improves the phase change modeling. For example, when warm rain falls on frozen soil, the dangerous black ice phenomenon can be comprehensively predicted. In addition, novel equations predict the evolution of clouds, which are themselves a mixture of air, liquid water and vapor.
Mechanics Of Solids With Phase Changes
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Author : M. Berveiller
language : en
Publisher: Springer
Release Date : 2014-05-04
Mechanics Of Solids With Phase Changes written by M. Berveiller 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.
The book is mainly devoted to the thermomechanical behavior of materials during solid-solid phase transformations. The physical mechanisms including diffusion, martensitic transformation and plasticity are described from material science point of view. The global behaviour is deduced from methods of classical as well as irreversible thermodynamics and continuum and micro mechanics. Mainly metals, both non ferrous and ferrous alloys but also geological problems are dealt with. Special attention is given to transformation induced plasticity and shape memory alloys. Three chapters are concerned with practical applications (heat treatment, smart structures, residual stresses).
Phase Field Modeling Of Phase Changes And Mechanical Stresses In Electrode Particles Of Secondary Batteries
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Author : Zhang, Tao
language : en
Publisher: KIT Scientific Publishing
Release Date : 2021-09-27
Phase Field Modeling Of Phase Changes And Mechanical Stresses In Electrode Particles Of Secondary Batteries written by Zhang, Tao and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-27 with Technology & Engineering categories.
Most storage materials exhibit phase changes, which cause stresses and, thus, lead to damage of the electrode particles. In this work, a phase-field model for the cathode material NaxFePO4 of Na-ion batteries is studied to understand phase changes and stress evolution. Furthermore, we study the particle size and SOC dependent miscibility gap of the nanoscale insertion materials. Finally, we introduce the nonlocal species concentration theory, and show how the nonlocality influences the results.
Phase Change In Mechanics
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Author : Michel Frémond
language : en
Publisher: Springer
Release Date : 2012-02-16
Phase Change In Mechanics written by Michel Frémond and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-16 with Mathematics categories.
Predictive theories of phenomena involving phase change with applications in engineering are investigated in this volume, e.g. solid-liquid phase change, volume and surface damage, and phase change involving temperature discontinuities. Many other phase change phenomena such as solid-solid phase change in shape memory alloys and vapor-liquid phase change are also explored. Modeling is based on continuum thermo-mechanics. This involves a renewed principle of virtual power introducing the power of the microscopic motions responsible for phase change. This improvement yields a new equation of motion related to microscopic motions, beyond the classical equation of motion for macroscopic motions. The new theory sensibly improves the phase change modeling. For example, when warm rain falls on frozen soil, the dangerous black ice phenomenon can be comprehensively predicted. In addition, novel equations predict the evolution of clouds, which are themselves a mixture of air, liquid water and vapor.
Statistical Mechanics Of Phases And Phase Transitions
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Author : Steven A. Kivelson
language : en
Publisher: Princeton University Press
Release Date : 2024-06-25
Statistical Mechanics Of Phases And Phase Transitions written by Steven A. Kivelson and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-25 with Science categories.
"Statistical mechanics deploys a powerful set of mathematical approaches for studying thermodynamic properties of complex physical systems. This textbook introduces students to the statistical mechanics of systems undergoing changes of state, focusing on the basic principles for classifying distinct thermodynamic phases and the critical phenomena associated with transitions between them. Uniquely designed to promote active learning, Statistical Mechanics of Phases and Phase Transitions presents some of the most beautiful and profound concepts in physics, enabling students to obtain an essential understanding of a computationally challenging subject without getting lost in the details."--Back cover.
The Physics Of Phase Transitions
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Author : Pierre Papon
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
The Physics Of Phase Transitions written by Pierre Papon 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 2013-06-29 with Science categories.
We learned in school that matter exists in three forms: solid, liquid and gas, as well as other more subtle things such as the fact that "evaporation produces cold. " The science of the states of matter was born in the 19th century. It has now grown enormously in two directions: 1) The transitions have multiplied: first between a solid and a solid, par ticularly for metallurgists. Then for magnetism, illustrated in France by Louis Neel, and ferro electricity. In addition, the extraordinary phenomenon of su perconductivity in certain metals appeared at the beginning of the 20th cen tury. And other superfluids were recognized later: helium 4, helium 3, the matter constituting atomic nuclei and neutron stars . . . There is now a real zoology of transitions, but we know how to classify them based on Landau's superb idea. 2) Our profound view of the mechanisms has evolved: in particular, the very universal properties of fluctuations near a critical point - described by Kadanoff's qualitative analysis and specified by an extraordinary theoretical tool: the renormalization group. Without exaggerating, we can say that our view of condensed matter has undergone two revolutions in the 20th century: first, the introduction of quantum physics in 1930, then the recognition of "self-similar" structures and the resulting scaling laws around 1970. .
Hysteresis And Phase Transitions
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Author : Martin Brokate
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Hysteresis And Phase Transitions written by Martin Brokate 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 2012-12-06 with Mathematics categories.
Hysteresis is an exciting and mathematically challenging phenomenon that oc curs in rather different situations: jt, can be a byproduct offundamental physical mechanisms (such as phase transitions) or the consequence of a degradation or imperfection (like the play in a mechanical system), or it is built deliberately into a system in order to monitor its behaviour, as in the case of the heat control via thermostats. The delicate interplay between memory effects and the occurrence of hys teresis loops has the effect that hysteresis is a genuinely nonlinear phenomenon which is usually non-smooth and thus not easy to treat mathematically. Hence it was only in the early seventies that the group of Russian scientists around M. A. Krasnoselskii initiated a systematic mathematical investigation of the phenomenon of hysteresis which culminated in the fundamental monograph Krasnoselskii-Pokrovskii (1983). In the meantime, many mathematicians have contributed to the mathematical theory, and the important monographs of 1. Mayergoyz (1991) and A. Visintin (1994a) have appeared. We came into contact with the notion of hysteresis around the year 1980.
Statistical Mechanics Of Phase Transitions
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Author : J. M. Yeomans
language : en
Publisher: Clarendon Press
Release Date : 1992-05-07
Statistical Mechanics Of Phase Transitions written by J. M. Yeomans and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-05-07 with categories.
The book provides an introduction to the physics which underlies phase transitions and to the theoretical techniques currently at our disposal for understanding them. It will be useful for advanced undergraduates, for post-graduate students undertaking research in related fields, and for established researchers in experimental physics, chemistry, and metallurgy as an exposition of current theoretical understanding. - ;Recent developments have led to a good understanding of universality; why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and well described by simple models. This book describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered, and two chapters are devoted to the renormalization group, which led to a break-through in the field. The book will be useful as a textbook for a course in `Phase Transitions', as an introduction for graduate students undertaking research in related fields, and as an overview for scientists in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist. - ;Introduction; Statistical mechanics and thermodynamics; Models; Mean-field theories; The transfer matrix; Series expansions; Monte Carlo simulations; The renormalization group; Implementations of the renormalization group. -
Phase Change Materials
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Author : Simone Raoux
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-10
Phase Change Materials written by Simone Raoux 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 2010-06-10 with Technology & Engineering categories.
"Phase Change Materials: Science and Applications" provides a unique introduction of this rapidly developing field. Clearly written and well-structured, this volume describes the material science of these fascinating materials from a theoretical and experimental perspective. Readers will find an in-depth description of their existing and potential applications in optical and solid state storage devices as well as reconfigurable logic applications. Researchers, graduate students and scientists with an interest in this field will find "Phase Change Materials" to be a valuable reference.